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

Time bar (total: 5.5s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×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)

sample704.0ms (12.9%)

Memory
-17.4MiB live, 1 212.3MiB allocated
Samples
465.0ms8 251×0valid
0.0ms3×1valid
0.0ms2×2valid
Precisions
Click to see histograms. Total time spent on operations: 302.0ms
ival-div: 194.0ms (64.2% of total)
ival-mult: 50.0ms (16.5% of total)
ival-add: 36.0ms (11.9% of total)
exact: 13.0ms (4.3% of total)
ival-true: 6.0ms (2% of total)
ival-assert: 3.0ms (1% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess13.0ms (0.2%)

Memory
29.5MiB live, 29.5MiB allocated
Algorithm
1×egg-herbie
Rules
22×distribute-lft-neg-in
16×sub-neg
14×associate--r+
14×associate-+l-
14×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12710
25810
310310
414010
515310
616110
0115
1135
0134
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (* (/ 841 108) x) (/ 4 29))
Outputs
(+ (* (/ 841 108) x) (/ 4 29))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))

explain175.0ms (3.2%)

Memory
-19.8MiB live, 172.9MiB 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
40.0ms512×0valid
Compiler

Compiled 74 to 40 computations (45.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 8.0ms (47.4% of total)
ival-add: 5.0ms (29.7% of total)
ival-mult: 3.0ms (17.8% of total)
exact: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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 10 to 9 computations (10% saved)

simplify4.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
✓cost-diff128
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
✓cost-diff704
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
✓cost-diff704
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
Rules
4×+-lowering-+.f64
4×*-lowering-*.f32
4×*-lowering-*.f64
4×+-lowering-+.f32
4×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11315
01314
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (/ 841 108) x) (/ 4 29))
(* (/ 841 108) x)
(/ 841 108)
841
108
x
(/ 4 29)
4
29
Outputs
(+ (* (/ 841 108) x) (/ 4 29))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* (/ 841 108) x)
(*.f64 #s(literal 841/108 binary64) x)
(/ 841 108)
#s(literal 841/108 binary64)
841
#s(literal 841 binary64)
108
#s(literal 108 binary64)
x
(/ 4 29)
#s(literal 4/29 binary64)
4
#s(literal 4 binary64)
29
#s(literal 29 binary64)

localize72.0ms (1.3%)

Memory
-16.2MiB live, 34.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
✓accuracy100.0%
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
✓accuracy100.0%
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Samples
62.0ms256×0valid
Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-add: 50.0ms (89.3% of total)
ival-div: 4.0ms (7.1% of total)
ival-mult: 2.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
4 → 24
Calls
Call 1
Inputs
#<alt (/ 841 108)>
#<alt (/ 4 29)>
#<alt (+ (* (/ 841 108) x) (/ 4 29))>
#<alt (* (/ 841 108) x)>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
Calls

6 calls:

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

rewrite415.0ms (7.6%)

Memory
28.1MiB live, 667.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 628×accelerator-lowering-fma.f32
10 628×accelerator-lowering-fma.f64
4 272×/-lowering-/.f32
4 272×/-lowering-/.f64
4 234×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01110
12810
215310
3121210
084119
Stop Event
1×iter limit
1×node limit
Counts
4 → 221
Calls
Call 1
Inputs
(/ 841 108)
(/ 4 29)
(+ (* (/ 841 108) x) (/ 4 29))
(* (/ 841 108) x)
Outputs
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 (/.f64 (*.f64 x (*.f64 x #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 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 (/.f64 (*.f64 x (*.f64 x #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 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (fma.f64 x (*.f64 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 #s(literal 256/707281 binary64) (fma.f64 x (*.f64 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 #s(literal 0 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 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)) (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)) #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 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))) (fma.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (fma.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #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 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))) (/.f64 (*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 841/16 binary64)))) (fma.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (fma.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #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 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 841/16 binary64))) (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (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))
(fma.f64 #s(literal 841/108 binary64) (/.f64 (*.f64 #s(literal 841/108 binary64) (*.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)) #s(literal 4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 #s(literal 841/108 binary64) x) (*.f64 #s(literal -841/108 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #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 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
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(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4096/594823321 binary64)) (fma.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (+.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))))))
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal -16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 841/108 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 841/108 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)))

simplify20.0ms (0.4%)

Memory
-25.6MiB live, 13.1MiB allocated
Algorithm
1×egg-herbie
Rules
44×*-lowering-*.f32
44×*-lowering-*.f64
16×accelerator-lowering-fma.f32
16×accelerator-lowering-fma.f64
12×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01088
12488
23788
34988
44988
56488
67088
77488
87488
07479
Stop Event
1×iter limit
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)

eval28.0ms (0.5%)

Memory
29.3MiB live, 67.3MiB allocated
Compiler

Compiled 6 981 to 639 computations (90.8% saved)

prune32.0ms (0.6%)

Memory
-3.5MiB live, 75.1MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2387245
Fresh000
Picked101
Done000
Total2397246
Accuracy
100.0%
Counts
246 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
▶99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
73.9%
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
▶74.0%
(/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
▶99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
▶49.1%
(*.f64 #s(literal 841/108 binary64) x)
▶52.2%
#s(literal 4/29 binary64)
Compiler

Compiled 122 to 88 computations (27.9% saved)

simplify9.0ms (0.2%)

Memory
-26.1MiB live, 11.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
✓cost-diff0
(*.f64 x #s(literal 707281/11664 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
✓cost-diff0
(/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓cost-diff0
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
✓cost-diff0
(*.f64 #s(literal 841/108 binary64) x)
✓cost-diff0
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Rules
46×*-lowering-*.f32
46×*-lowering-*.f64
28×accelerator-lowering-fma.f32
28×accelerator-lowering-fma.f64
12×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01868
13068
24268
35068
45168
55968
05960
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x 841/108) 4/29)
x
841/108
4/29
4/29
(* 841/108 x)
841/108
x
(/ 1 (/ 1 (+ (* 841/108 x) 4/29)))
1
(/ 1 (+ (* 841/108 x) 4/29))
(+ (* 841/108 x) 4/29)
841/108
x
4/29
(/ (+ (* x (* x 707281/11664)) -16/841) (+ (* 841/108 x) -4/29))
(+ (* x (* x 707281/11664)) -16/841)
x
(* x 707281/11664)
707281/11664
-16/841
(+ (* 841/108 x) -4/29)
841/108
-4/29
Outputs
(+ (* x 841/108) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
841/108
#s(literal 841/108 binary64)
4/29
#s(literal 4/29 binary64)
4/29
#s(literal 4/29 binary64)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
841/108
#s(literal 841/108 binary64)
x
(/ 1 (/ 1 (+ (* 841/108 x) 4/29)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
1
#s(literal 1 binary64)
(/ 1 (+ (* 841/108 x) 4/29))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(+ (* 841/108 x) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
841/108
#s(literal 841/108 binary64)
x
4/29
#s(literal 4/29 binary64)
(/ (+ (* x (* x 707281/11664)) -16/841) (+ (* 841/108 x) -4/29))
(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(+ (* x (* x 707281/11664)) -16/841)
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
x
(* x 707281/11664)
(*.f64 x #s(literal 707281/11664 binary64))
707281/11664
#s(literal 707281/11664 binary64)
-16/841
#s(literal -16/841 binary64)
(+ (* 841/108 x) -4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
841/108
#s(literal 841/108 binary64)
-4/29
#s(literal -4/29 binary64)

localize67.0ms (1.2%)

Memory
30.2MiB live, 149.5MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
✓accuracy99.9%
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
✓accuracy99.7%
(*.f64 x #s(literal 707281/11664 binary64))
✓accuracy74.0%
(/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓accuracy99.9%
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
✓accuracy99.8%
(*.f64 #s(literal 841/108 binary64) x)
✓accuracy99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Samples
46.0ms256×0valid
Compiler

Compiled 66 to 20 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
const: 17.0ms (48.3% of total)
ival-mult: 8.0ms (22.7% of total)
ival-div: 5.0ms (14.2% of total)
ival-add: 4.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-28.3MiB live, 9.6MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#<alt (+ (* x 841/108) 4/29)>
#<alt (* 841/108 x)>
#<alt (/ 1 (/ 1 (+ (* 841/108 x) 4/29)))>
#<alt (/ 1 (+ (* 841/108 x) 4/29))>
#<alt (+ (* 841/108 x) 4/29)>
#<alt (/ (+ (* x (* x 707281/11664)) -16/841) (+ (* 841/108 x) -4/29))>
#<alt (+ (* x (* x 707281/11664)) -16/841)>
#<alt (* x 707281/11664)>
#<alt (+ (* 841/108 x) -4/29)>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 29/4>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))>
#<alt (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))>
#<alt (/ 108/841 x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)>
#<alt (/ 108/841 x)>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt -16/841>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt -4/29>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ (+ (* x (* x 707281/11664)) -16/841) (+ (* 841/108 x) -4/29))
1.0ms
x
@-inf
(/ (+ (* x (* x 707281/11664)) -16/841) (+ (* 841/108 x) -4/29))
0.0ms
x
@0
(/ (+ (* x (* x 707281/11664)) -16/841) (+ (* 841/108 x) -4/29))
0.0ms
x
@0
(/ 1 (+ (* 841/108 x) 4/29))
0.0ms
x
@-inf
(* x 707281/11664)

rewrite564.0ms (10.3%)

Memory
-8.3MiB live, 653.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 688×accelerator-lowering-fma.f32
5 688×accelerator-lowering-fma.f64
4 212×*-lowering-*.f32
4 212×*-lowering-*.f64
3 170×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01845
110345
262145
3728045
0838238
Stop Event
1×iter limit
1×node limit
Counts
9 → 1 647
Calls
Call 1
Inputs
(+ (* x 841/108) 4/29)
(* 841/108 x)
(/ 1 (/ 1 (+ (* 841/108 x) 4/29)))
(/ 1 (+ (* 841/108 x) 4/29))
(+ (* 841/108 x) 4/29)
(/ (+ (* x (* x 707281/11664)) -16/841) (+ (* 841/108 x) -4/29))
(+ (* x (* x 707281/11664)) -16/841)
(* x 707281/11664)
(+ (* 841/108 x) -4/29)
Outputs
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(+.f64 #s(literal 4/29 binary64) (neg.f64 (*.f64 x #s(literal -841/108 binary64))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -841/108 binary64))))
(+.f64 #s(literal 4/29 binary64) (*.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(+.f64 (neg.f64 (*.f64 x #s(literal -841/108 binary64))) #s(literal 4/29 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -841/108 binary64))) #s(literal 4/29 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal -16/841 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal -16/841 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64))) (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))
(+.f64 (*.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -1 binary64)) #s(literal 4/29 binary64))
(+.f64 (*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (*.f64 (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))))
(+.f64 (*.f64 (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64)) #s(literal -4/29 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal -256/707281 binary64) (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal -64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (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))
(fma.f64 #s(literal 841/108 binary64) (*.f64 x #s(literal 1 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 841/108 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(fma.f64 #s(literal 841/108 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 841/108 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x #s(literal 841/108 binary64)) (/.f64 (*.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(fma.f64 (*.f64 x #s(literal 841/108 binary64)) (/.f64 (*.f64 x #s(literal 841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(fma.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (*.f64 (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))))
(fma.f64 (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal -16/841 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal -16/841 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 binary64)) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -841/729 binary64)) #s(literal 256/707281 binary64))) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -841/729 binary64)) #s(literal 256/707281 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64))) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 binary64))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -841/729 binary64)) #s(literal 256/707281 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -841/729 binary64)) #s(literal 256/707281 binary64)))
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))))) (fma.f64 (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64)) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -841/729 binary64)) #s(literal 256/707281 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))

simplify379.0ms (6.9%)

Memory
16.3MiB live, 457.9MiB allocated
Algorithm
1×egg-herbie
Rules
7 746×accelerator-lowering-fma.f32
7 746×accelerator-lowering-fma.f64
2 454×*-lowering-*.f32
2 454×*-lowering-*.f64
1 540×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086518
1230510
2499510
31099506
42707506
55563506
66835506
77867506
08085446
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 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 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
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 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
29/4
#s(literal 29/4 binary64)
(+ 29/4 (* -707281/1728 x))
(fma.f64 x #s(literal -707281/1728 binary64) #s(literal 29/4 binary64))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal 17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal -20155392/500246412961 binary64) x)) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x)) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(/.f64 (-.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal -20155392/500246412961 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x)) x)
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 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
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 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))

eval779.0ms (14.3%)

Memory
7.5MiB live, 420.5MiB allocated
Compiler

Compiled 46 874 to 2 779 computations (94.1% saved)

prune152.0ms (2.8%)

Memory
-7.1MiB live, 362.0MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 75411 755
Fresh112
Picked235
Done000
Total1 75751 762
Accuracy
100.0%
Counts
1 762 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶49.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓49.1%
(*.f64 #s(literal 841/108 binary64) x)
✓52.2%
#s(literal 4/29 binary64)
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify6.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓cost-diff0
(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓cost-diff0
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓cost-diff0
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓cost-diff0
(/.f64 #s(literal 108/841 binary64) x)
✓cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
Rules
50×*-lowering-*.f32
50×*-lowering-*.f64
20×accelerator-lowering-fma.f32
20×accelerator-lowering-fma.f64
16×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01661
13061
24461
35261
45561
55661
05654
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (/ 108/841 x))
1
(/ 108/841 x)
108/841
x
(+ (* x (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))) (/ 16/841 (+ (* x -841/108) 4/29)))
x
(* -707281/11664 (/ x (+ (* x -841/108) 4/29)))
-707281/11664
(/ x (+ (* x -841/108) 4/29))
(+ (* x -841/108) 4/29)
-841/108
4/29
(/ 16/841 (+ (* x -841/108) 4/29))
16/841
Outputs
(/ 1 (/ 108/841 x))
(*.f64 x #s(literal 841/108 binary64))
1
#s(literal 1 binary64)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
108/841
#s(literal 108/841 binary64)
x
(+ (* x (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))) (/ 16/841 (+ (* x -841/108) 4/29)))
(fma.f64 x (*.f64 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
x
(* -707281/11664 (/ x (+ (* x -841/108) 4/29)))
(*.f64 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
-707281/11664
#s(literal -707281/11664 binary64)
(/ x (+ (* x -841/108) 4/29))
(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(+ (* x -841/108) 4/29)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
-841/108
#s(literal -841/108 binary64)
4/29
#s(literal 4/29 binary64)
(/ 16/841 (+ (* x -841/108) 4/29))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
16/841
#s(literal 16/841 binary64)

localize62.0ms (1.1%)

Memory
7.0MiB live, 120.2MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓accuracy99.8%
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓accuracy99.5%
(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓accuracy99.3%
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓accuracy99.5%
(/.f64 #s(literal 108/841 binary64) x)
Samples
42.0ms251×0valid
1.0ms3×2valid
1.0ms2×1valid
Compiler

Compiled 58 to 18 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
const: 17.0ms (53.7% of total)
ival-div: 7.0ms (22.1% of total)
ival-mult: 5.0ms (15.8% of total)
ival-add: 2.0ms (6.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
-29.3MiB live, 14.1MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt (/ 1 (/ 108/841 x))>
#<alt (/ 108/841 x)>
#<alt (+ (* x (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))) (/ 16/841 (+ (* x -841/108) 4/29)))>
#<alt (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))>
#<alt (/ x (+ (* x -841/108) 4/29))>
#<alt (+ (* x -841/108) 4/29)>
#<alt (/ 16/841 (+ (* x -841/108) 4/29))>
Outputs
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* -20511149/46656 x)>
#<alt (* x (- (* -500246412961/20155392 x) 20511149/46656))>
#<alt (* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))>
#<alt (* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))>
#<alt (* 29/4 x)>
#<alt (* x (+ 29/4 (* 707281/1728 x)))>
#<alt (* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))>
#<alt (* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))>
#<alt -108/841>
#<alt (* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)>
#<alt (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))>
#<alt -108/841>
#<alt (* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)>
#<alt (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)>
#<alt 4/29>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (* -841/108 x)>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* -841/108 x)>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))>
#<alt (+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)>
#<alt (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))>
Calls

21 calls:

TimeVariablePointExpression
5.0ms
x
@0
(* -707281/11664 (/ x (+ (* x -841/108) 4/29)))
2.0ms
x
@inf
(+ (* x (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))) (/ 16/841 (+ (* x -841/108) 4/29)))
1.0ms
x
@0
(+ (* x (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))) (/ 16/841 (+ (* x -841/108) 4/29)))
1.0ms
x
@-inf
(+ (* x (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))) (/ 16/841 (+ (* x -841/108) 4/29)))
0.0ms
x
@-inf
(/ x (+ (* x -841/108) 4/29))

rewrite499.0ms (9.1%)

Memory
21.2MiB live, 724.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 210×accelerator-lowering-fma.f32
8 210×accelerator-lowering-fma.f64
4 916×*-lowering-*.f32
4 916×*-lowering-*.f64
3 030×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01653
18453
259049
3691349
0862343
Stop Event
1×iter limit
1×node limit
Counts
7 → 474
Calls
Call 1
Inputs
(/ 1 (/ 108/841 x))
(/ 108/841 x)
(+ (* x (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))) (/ 16/841 (+ (* x -841/108) 4/29)))
(* -707281/11664 (/ x (+ (* x -841/108) 4/29)))
(/ x (+ (* x -841/108) 4/29))
(+ (* x -841/108) 4/29)
(/ 16/841 (+ (* x -841/108) 4/29))
Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -841/108 binary64)))
(neg.f64 (*.f64 x #s(literal -841/108 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 x #s(literal 108/841 binary64))
(/.f64 #s(literal -841/108 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 (neg.f64 x) #s(literal -108/841 binary64))
(/.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 108/841 binary64) x) (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal -841/108 binary64) (neg.f64 x))
(*.f64 #s(literal -841/108 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -841/108 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -841/108 binary64)))
(*.f64 (neg.f64 x) #s(literal -841/108 binary64))
(*.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 841/108 binary64) x)
(*.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 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (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)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -108/841 binary64) x))
(neg.f64 (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 841/108 binary64)))
(/.f64 #s(literal 108/841 binary64) x)
(/.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -841/108 binary64)))
(/.f64 (/.f64 #s(literal -108/841 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -108/841 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 841/108 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (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)))
(pow.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(*.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -108/841 binary64) x))
(*.f64 (/.f64 #s(literal -108/841 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -108/841 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -108/841 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -108/841 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -108/841 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 108/841 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -108/841 binary64))
(*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) #s(literal -1 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 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(+.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 (-.f64 #s(literal -16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (*.f64 x (/.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 (-.f64 #s(literal -16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 x (/.f64 (*.f64 x #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (*.f64 (/.f64 (*.f64 x #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (/.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 x #s(literal -707281/11664 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 (*.f64 x #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) x (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 (*.f64 x #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))))
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 x #s(literal -707281/11664 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 #s(literal -16/841 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (*.f64 x (/.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (*.f64 x #s(literal -707281/11664 binary64)) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
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(/.f64 (*.f64 #s(literal 16/841 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)))
(/.f64 (fma.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 16/841 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64)))))) (fma.f64 (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64)) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))))
(pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 #s(literal -16/841 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64))
(*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal -16/841 binary64))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (*.f64 #s(literal 16/841 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 16/841 binary64) #s(literal -64/24389 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(*.f64 (/.f64 #s(literal 16/841 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 #s(literal 16/841 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))

simplify479.0ms (8.8%)

Memory
4.6MiB live, 382.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 110×accelerator-lowering-fma.f32
8 110×accelerator-lowering-fma.f64
2 982×*-lowering-*.f32
2 982×*-lowering-*.f64
1 782×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148492
1394486
2854476
31653476
43044464
56158464
08292428
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(* 29/4 x)
(* x (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(/ -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)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) 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))
Outputs
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
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 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -20511149/46656 x)
(*.f64 x #s(literal -20511149/46656 binary64))
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(*.f64 x (fma.f64 x #s(literal -500246412961/20155392 binary64) #s(literal -20511149/46656 binary64)))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -12200509765705829/8707129344 binary64) #s(literal -500246412961/20155392 binary64)) #s(literal -20511149/46656 binary64)))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -297558232675799463481/3761479876608 binary64) #s(literal -12200509765705829/8707129344 binary64)) #s(literal -500246412961/20155392 binary64)) #s(literal -20511149/46656 binary64)))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 4/29 binary64) x))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+.f64 #s(literal 841/108 binary64) (+.f64 (/.f64 #s(literal 4/29 binary64) x) (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
(+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)) x))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 4/29 binary64) x))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+.f64 #s(literal 841/108 binary64) (+.f64 (/.f64 #s(literal 4/29 binary64) x) (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x))))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)) x))
(* 29/4 x)
(*.f64 x #s(literal 29/4 binary64))
(* x (+ 29/4 (* 707281/1728 x)))
(*.f64 x (fma.f64 x #s(literal 707281/1728 binary64) #s(literal 29/4 binary64)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal 707281/1728 binary64)) #s(literal 29/4 binary64)))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 420707233300201/322486272 binary64) #s(literal 17249876309/746496 binary64)) #s(literal 707281/1728 binary64)) #s(literal 29/4 binary64)))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(+.f64 (/.f64 (+.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal -20155392/500246412961 binary64) x)) x) #s(literal -108/841 binary64))
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(+.f64 (/.f64 (+.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal -20155392/500246412961 binary64) x)) x) #s(literal -108/841 binary64))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(-.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* -841/108 x))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
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 (+ 841/108 (* 20511149/46656 x))))
(fma.f64 x (fma.f64 x #s(literal 20511149/46656 binary64) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 500246412961/20155392 binary64) #s(literal 20511149/46656 binary64)) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(/ -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 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal -322486272/420707233300201 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (-.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal -139314069504/10260628712958602189 binary64) x)) x)) x)) 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 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal -322486272/420707233300201 binary64) x)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (-.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal -139314069504/10260628712958602189 binary64) x)) x)) x)) x)

eval265.0ms (4.8%)

Memory
2.2MiB live, 152.0MiB allocated
Compiler

Compiled 18 255 to 1 757 computations (90.4% saved)

prune76.0ms (1.4%)

Memory
-35.5MiB live, 183.5MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New6501651
Fresh000
Picked202
Done033
Total6524656
Accuracy
100.0%
Counts
656 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶49.1%
(/.f64 x #s(literal 108/841 binary64))
✓49.1%
(*.f64 #s(literal 841/108 binary64) x)
✓52.2%
#s(literal 4/29 binary64)
Compiler

Compiled 15 to 12 computations (20% saved)

simplify4.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x #s(literal 108/841 binary64))
Rules
2×/-lowering-/.f32
2×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
035
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ x 108/841)
x
108/841
Outputs
(/ x 108/841)
(/.f64 x #s(literal 108/841 binary64))
x
108/841
#s(literal 108/841 binary64)

localize39.0ms (0.7%)

Memory
-4.9MiB live, 33.5MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 x #s(literal 108/841 binary64))
Samples
34.0ms256×0valid
Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
const: 27.0ms (91% of total)
ival-div: 2.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Counts
1 → 12
Calls
Call 1
Inputs
#<alt (/ x 108/841)>
Outputs
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ x 108/841)
0.0ms
x
@inf
(/ x 108/841)
0.0ms
x
@-inf
(/ x 108/841)

rewrite207.0ms (3.8%)

Memory
9.3MiB live, 359.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 406×accelerator-lowering-fma.f32
3 406×accelerator-lowering-fma.f64
2 330×*-lowering-*.f32
2 330×*-lowering-*.f64
1 942×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1133
2383
31413
46463
564463
083693
Stop Event
1×iter limit
1×node limit
Counts
1 → 341
Calls
Call 1
Inputs
(/ x 108/841)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 841/108 binary64)))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal -1/2 binary64) (neg.f64 (*.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 841/108 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -108/841 binary64) (*.f64 x x))) (*.f64 x #s(literal 841/108 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x #s(literal -108/841 binary64))) (*.f64 x #s(literal 841/108 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (*.f64 x #s(literal 841/108 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 0 binary64))
(fma.f64 x (pow.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (*.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 841/108 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal -841/108 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 841/108 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 841/108 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 841/108 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -841/108 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -841/108 binary64) (*.f64 x (neg.f64 x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -841/108 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 108/841 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -108/841 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 108/841 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -108/841 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -841/108 binary64) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -841/108 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 108/841 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -108/841 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 108/841 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -108/841 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -108/841 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 108/841 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 x #s(literal 841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64)) (/.f64 #s(literal 11664/707281 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (/.f64 #s(literal 108/841 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -841/108 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -841/108 binary64) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -108/841 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -108/841 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 108/841 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 108/841 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 841/108 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 841/108 binary64) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -841/108 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -841/108 binary64) x) (*.f64 x (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -841/108 binary64) (neg.f64 x)) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -841/108 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal -841/108 binary64) (*.f64 x x)) #s(literal 0 binary64))
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(*.f64 #s(literal 841/108 binary64) x)
(*.f64 #s(literal 841/108 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 #s(literal -841/108 binary64) x)
(*.f64 #s(literal -841/108 binary64) (neg.f64 x))
(*.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -841/108 binary64) (*.f64 x (neg.f64 x))))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -841/108 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 108/841 binary64) (*.f64 x x))))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -108/841 binary64) (*.f64 x x))))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 841/108 binary64)))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -841/108 binary64)))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 108/841 binary64)))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -108/841 binary64)))
(*.f64 (*.f64 x x) (/.f64 #s(literal -841/108 binary64) (neg.f64 x)))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -841/108 binary64) x))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 108/841 binary64))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -108/841 binary64))))
(*.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 841/108 binary64)))
(*.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -841/108 binary64)))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 108/841 binary64)))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -108/841 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))))
(*.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -841/108 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 841/108 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -108/841 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 108/841 binary64)))
(*.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))))
(*.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64)) (/.f64 #s(literal 11664/707281 binary64) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (/.f64 #s(literal 108/841 binary64) x))
(*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))))
(*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -841/108 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal -841/108 binary64) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -108/841 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal -108/841 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 108/841 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal 108/841 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 (*.f64 #s(literal 841/108 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 841/108 binary64) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -841/108 binary64) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -841/108 binary64) x) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 #s(literal -841/108 binary64) (neg.f64 x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal -841/108 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal -841/108 binary64) (*.f64 x x)))
(*.f64 (*.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64))) x)
(*.f64 (*.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64))) (neg.f64 x))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))
(*.f64 (*.f64 #s(literal -841/108 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -841/108 binary64) (*.f64 x (neg.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x)))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x)))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -841/108 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -841/108 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -841/108 binary64))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal -841/108 binary64) (*.f64 x (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal -841/108 binary64) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x))) (neg.f64 x))
(*.f64 (/.f64 (*.f64 #s(literal -841/108 binary64) (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 #s(literal -841/108 binary64) (*.f64 x (neg.f64 x))) (*.f64 x x)) x)

simplify6.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0336
1436
0436
Stop Event
1×iter limit
1×saturated
Counts
12 → 12
Calls
Call 1
Inputs
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
Outputs
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)

eval143.0ms (2.6%)

Memory
14.1MiB live, 51.1MiB allocated
Compiler

Compiled 3 904 to 560 computations (85.7% saved)

prune46.0ms (0.8%)

Memory
6.8MiB live, 89.1MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3530353
Fresh000
Picked011
Done033
Total3534357
Accuracy
100.0%
Counts
357 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓49.1%
(/.f64 x #s(literal 108/841 binary64))
✓49.1%
(*.f64 #s(literal 841/108 binary64) x)
✓52.2%
#s(literal 4/29 binary64)
Compiler

Compiled 87 to 51 computations (41.4% saved)

regimes13.0ms (0.2%)

Memory
-9.0MiB live, 29.3MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(/.f64 x #s(literal 108/841 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (fma.f64 x (*.f64 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 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Calls

3 calls:

4.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
3.0ms
x
3.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
99.9%1x
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%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes6.0ms (0.1%)

Memory
-23.4MiB live, 14.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
Outputs
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
Calls

3 calls:

2.0ms
x
2.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
1.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
97.8%3x
97.8%3(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
97.8%3(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes4.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 4/29 binary64)
Outputs
#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
52.2%1x
52.2%1(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
52.2%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.11778462490626389
1.253810190399974
0.0ms
-155714.29067091
-2.2595074566983655e-7
Compiler

Compiled 13 to 13 computations (0% saved)

simplify10.0ms (0.2%)

Memory
-29.5MiB live, 23.4MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
2×if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01526
12026
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -100000 binary64)) (*.f64 #s(literal 841/108 binary64) x) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
#s(literal 4/29 binary64)
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -100000 binary64)) (*.f64 #s(literal 841/108 binary64) x) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
(if (<=.f64 (*.f64 x (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))) #s(literal -100000 binary64)) (*.f64 x #s(literal 841/108 binary64)) (if (<=.f64 (*.f64 x (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
#s(literal 4/29 binary64)

soundness121.0ms (2.2%)

Memory
9.1MiB live, 125.0MiB allocated
Rules
10 628×accelerator-lowering-fma.f32
10 628×accelerator-lowering-fma.f64
4 272×/-lowering-/.f32
4 272×/-lowering-/.f64
4 234×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01088
12488
23788
34988
44988
56488
67088
77488
87488
07479
01110
12810
215310
3121210
084119
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×saturated
Compiler

Compiled 42 to 26 computations (38.1% saved)

preprocess46.0ms (0.8%)

Memory
30.5MiB live, 72.4MiB allocated
Compiler

Compiled 78 to 48 computations (38.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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