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

Time bar (total: 8.2s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 11 computations (0% saved)

sample1.2s (14.1%)

Memory
6.6MiB live, 798.5MiB allocated
Samples
904.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 473.0ms
ival-mult: 192.0ms (40.6% of total)
ival-div: 141.0ms (29.8% of total)
ival-sub: 120.0ms (25.4% of total)
exact: 11.0ms (2.3% of total)
ival-true: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess54.0ms (0.7%)

Memory
-3.1MiB live, 35.5MiB allocated
Algorithm
2×egg-herbie
Rules
530×distribute-lft-in
476×distribute-rgt-in
346×unsub-neg
306×associate-*r*
258×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02146
15844
216642
354942
4167342
5191742
6214642
7224142
8227242
9228442
0107
1177
2327
3627
4847
0846
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* (* (- x (/ 16 116)) 3) y)
Outputs
(* (* (- x (/ 16 116)) 3) y)
(*.f64 (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64))) y)
Call 2
Inputs
(* (* (- x (/ 16 116)) 3) y)
(* (* (- (neg x) (/ 16 116)) 3) y)
(* (* (- x (/ 16 116)) 3) (neg y))
(neg (* (* (- (neg x) (/ 16 116)) 3) y))
(neg (* (* (- x (/ 16 116)) 3) (neg y)))
(* (* (- y (/ 16 116)) 3) x)
Outputs
(* (* (- x (/ 16 116)) 3) y)
(* (+ x -4/29) (* 3 y))
(* (* (- (neg x) (/ 16 116)) 3) y)
(* 3 (* y (- -4/29 x)))
(* (* (- x (/ 16 116)) 3) (neg y))
(* y (- 12/29 (* x 3)))
(neg (* (* (- (neg x) (/ 16 116)) 3) y))
(* 3 (* y (+ x 4/29)))
(neg (* (* (- x (/ 16 116)) 3) (neg y)))
(* (+ x -4/29) (* 3 y))
(* (* (- y (/ 16 116)) 3) x)
(* x (- -12/29 (* y -3)))
Symmetry

(negabs y)

explain126.0ms (1.5%)

Memory
-11.7MiB live, 122.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 3 binary64)
00-0-#s(literal 16 binary64)
00-0-#s(literal 116 binary64)
00-0-(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
00-0-(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
00-0-(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
00-0-y
00-0-(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
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
39.0ms476×0valid
2.0ms16×2valid
2.0ms20×1valid
Compiler

Compiled 84 to 40 computations (52.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 19.0ms (68.5% of total)
ival-div: 4.0ms (14.4% of total)
ival-sub: 3.0ms (10.8% of total)
adjust: 1.0ms (3.6% of total)
exact: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
✓cost-diff0
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
✓cost-diff0
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
✓cost-diff128
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
Rules
60×*-lowering-*.f32
60×*-lowering-*.f64
36×accelerator-lowering-fma.f32
36×accelerator-lowering-fma.f64
26×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
11721
23221
36221
48421
08419
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* (- x (/ 16 116)) 3) y)
(* (- x (/ 16 116)) 3)
(- x (/ 16 116))
x
(/ 16 116)
16
116
3
y
Outputs
(* (* (- x (/ 16 116)) 3) y)
(*.f64 (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64))) y)
(* (- x (/ 16 116)) 3)
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(- x (/ 16 116))
(+.f64 x #s(literal -4/29 binary64))
x
(/ 16 116)
#s(literal 4/29 binary64)
16
#s(literal 16 binary64)
116
#s(literal 116 binary64)
3
#s(literal 3 binary64)
y

localize37.0ms (0.5%)

Memory
-0.5MiB live, 37.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
✓accuracy100.0%
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
✓accuracy99.8%
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
✓accuracy99.8%
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Samples
14.0ms238×0valid
1.0ms10×1valid
1.0ms8×2valid
Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (36.2% of total)
ival-div: 2.0ms (24.1% of total)
ival-sub: 2.0ms (24.1% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/ 16 116)>
#<alt (* (* (- x (/ 16 116)) 3) y)>
#<alt (* (- x (/ 16 116)) 3)>
#<alt (- x (/ 16 116))>
Outputs
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@0
(* (* (- x (/ 16 116)) 3) y)
1.0ms
x
@inf
(* (* (- x (/ 16 116)) 3) y)
0.0ms
y
@inf
(* (* (- x (/ 16 116)) 3) y)
0.0ms
x
@0
(* (* (- x (/ 16 116)) 3) y)
0.0ms
x
@-inf
(* (* (- x (/ 16 116)) 3) y)

rewrite632.0ms (7.7%)

Memory
-4.6MiB live, 594.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 904×/-lowering-/.f32
4 904×/-lowering-/.f64
4 434×accelerator-lowering-fma.f32
4 434×accelerator-lowering-fma.f64
4 154×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
13116
216016
3125716
0889714
Stop Event
1×iter limit
1×node limit
Counts
4 → 507
Calls
Call 1
Inputs
(/ 16 116)
(* (* (- x (/ 16 116)) 3) y)
(* (- x (/ 16 116)) 3)
(- x (/ 16 116))
Outputs
#s(literal 4/29 binary64)
(+.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (*.f64 y #s(literal -12/29 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(+.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -12/29 binary64) y))
(+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 3 binary64) y)))
(+.f64 (*.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 3 binary64) y)) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 y x)) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 y x)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -4/29 binary64) y)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -4/29 binary64) y)) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 4/29 binary64) x) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 64/24389 binary64) (-.f64 (+.f64 (*.f64 x #s(literal -4/29 binary64)) #s(literal -16/841 binary64)) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (*.f64 x x) (+.f64 #s(literal 4/29 binary64) x))) (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (-.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (-.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (-.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (-.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (-.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (*.f64 x x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (-.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal -4/29 binary64)) #s(literal -16/841 binary64))))) (*.f64 x x)) (*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal -4/29 binary64)) #s(literal -16/841 binary64))))) (+.f64 (*.f64 x #s(literal -4/29 binary64)) #s(literal -16/841 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) x) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) #s(literal -4/29 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) #s(literal -4/29 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) x))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 4/29 binary64) x) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (-.f64 (+.f64 (*.f64 x #s(literal -4/29 binary64)) #s(literal -16/841 binary64)) (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 (*.f64 x x) (+.f64 #s(literal 4/29 binary64) x))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -4/29 binary64) y)))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal -4/29 binary64) y) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 3 binary64) y) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 4/29 binary64) x) (+.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 64/24389 binary64) (-.f64 (+.f64 (*.f64 x #s(literal -4/29 binary64)) #s(literal -16/841 binary64)) (*.f64 x x)))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (*.f64 x x) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 #s(literal -12/29 binary64) y))
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(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4096/594823321 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (-.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (*.f64 x x)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4096/594823321 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x)) (+.f64 (*.f64 x #s(literal -4/29 binary64)) #s(literal -16/841 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal -4/29 binary64)) #s(literal -16/841 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (+.f64 (*.f64 #s(literal 4/29 binary64) x) (+.f64 (*.f64 x x) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (-.f64 (+.f64 (*.f64 x #s(literal -4/29 binary64)) #s(literal -16/841 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -256/707281 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (+.f64 (*.f64 #s(literal 4/29 binary64) x) (+.f64 (*.f64 x x) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 (+.f64 (*.f64 x #s(literal -4/29 binary64)) #s(literal -16/841 binary64)) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1/2 binary64)))

simplify407.0ms (5%)

Memory
-14.4MiB live, 220.1MiB allocated
Algorithm
1×egg-herbie
Rules
4 408×accelerator-lowering-fma.f32
4 408×accelerator-lowering-fma.f64
3 680×*-lowering-*.f32
3 680×*-lowering-*.f64
2 488×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042284
1112242
2290242
3614242
41561242
52661242
63742242
74238242
84411242
94431242
104445242
115179242
125559242
135785242
146236242
156598242
166604242
176616242
186616242
08636212
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))

eval70.0ms (0.8%)

Memory
20.9MiB live, 179.1MiB allocated
Compiler

Compiled 18 221 to 1 811 computations (90.1% saved)

prune71.0ms (0.9%)

Memory
-6.3MiB live, 190.1MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5496555
Fresh000
Picked101
Done000
Total5506556
Accuracy
100.0%
Counts
556 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) (*.f64 #s(literal 3 binary64) y)))
▶99.5%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
▶99.6%
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
▶48.1%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
▶54.5%
(*.f64 #s(literal -12/29 binary64) y)
Compiler

Compiled 108 to 84 computations (22.2% saved)

simplify11.0ms (0.1%)

Memory
25.2MiB live, 25.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
✓cost-diff0
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))
✓cost-diff0
(*.f64 #s(literal 3 binary64) y)
✓cost-diff0
(+.f64 x #s(literal -4/29 binary64))
✓cost-diff0
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
✓cost-diff0
(*.f64 #s(literal -12/29 binary64) y)
✓cost-diff0
(+.f64 x #s(literal -4/29 binary64))
✓cost-diff0
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓cost-diff0
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
Rules
96×*-lowering-*.f32
96×*-lowering-*.f64
64×/-lowering-/.f32
64×/-lowering-/.f64
64×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01779
13479
26379
39677
411377
512377
613577
714777
815777
916477
1016977
1116977
016973
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* (+ x -4/29) y) 3)
(* (+ x -4/29) y)
(+ x -4/29)
x
-4/29
y
3
(* -12/29 y)
-12/29
y
(* (* x 3) y)
(* x 3)
x
3
y
(* (+ x -4/29) (* 3 y))
(+ x -4/29)
x
-4/29
(* 3 y)
3
y
(/ y (/ 1 (+ (* x 3) -12/29)))
y
(/ 1 (+ (* x 3) -12/29))
1
(+ (* x 3) -12/29)
(* x 3)
x
3
-12/29
Outputs
(* (* (+ x -4/29) y) 3)
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(* (+ x -4/29) y)
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
(+ x -4/29)
(+.f64 x #s(literal -4/29 binary64))
x
-4/29
#s(literal -4/29 binary64)
y
3
#s(literal 3 binary64)
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
-12/29
#s(literal -12/29 binary64)
y
(* (* x 3) y)
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
y
(* (+ x -4/29) (* 3 y))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(+ x -4/29)
(+.f64 x #s(literal -4/29 binary64))
x
-4/29
#s(literal -4/29 binary64)
(* 3 y)
(*.f64 y #s(literal 3 binary64))
3
#s(literal 3 binary64)
y
(/ y (/ 1 (+ (* x 3) -12/29)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
y
(/ 1 (+ (* x 3) -12/29))
(/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))
1
#s(literal 1 binary64)
(+ (* x 3) -12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
-12/29
#s(literal -12/29 binary64)

localize70.0ms (0.8%)

Memory
-12.0MiB live, 113.7MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy99.9%
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))
✓accuracy99.5%
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
✓accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
✓accuracy100.0%
(+.f64 x #s(literal -4/29 binary64))
✓accuracy99.5%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
✓accuracy99.9%
(*.f64 #s(literal -12/29 binary64) y)
✓accuracy100.0%
(+.f64 x #s(literal -4/29 binary64))
✓accuracy99.9%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓accuracy99.6%
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
Samples
38.0ms238×0valid
3.0ms8×2valid
3.0ms10×1valid
Compiler

Compiled 83 to 19 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
const: 11.0ms (38.9% of total)
ival-mult: 10.0ms (35.3% of total)
ival-div: 4.0ms (14.1% of total)
ival-add: 3.0ms (10.6% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-20.7MiB live, 16.7MiB allocated
Counts
11 → 192
Calls
Call 1
Inputs
#<alt (* (* (+ x -4/29) y) 3)>
#<alt (* (+ x -4/29) y)>
#<alt (+ x -4/29)>
#<alt (* -12/29 y)>
#<alt (* (* x 3) y)>
#<alt (* x 3)>
#<alt (* (+ x -4/29) (* 3 y))>
#<alt (* 3 y)>
#<alt (/ 1 (+ (* x 3) -12/29))>
#<alt (/ y (/ 1 (+ (* x 3) -12/29)))>
#<alt (+ (* x 3) -12/29)>
Outputs
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* -4/29 y)>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt -29/12>
#<alt (- (* -841/48 x) 29/12)>
#<alt (- (* x (- (* -24389/192 x) 841/48)) 29/12)>
#<alt (- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x)>
#<alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)>
#<alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
Calls

48 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(* x 3)
1.0ms
x
@inf
(* (+ x -4/29) y)
1.0ms
x
@0
(* (* x 3) y)
0.0ms
y
@inf
(* (* x 3) y)
0.0ms
y
@0
(/ y (/ 1 (+ (* x 3) -12/29)))

rewrite387.0ms (4.7%)

Memory
26.2MiB live, 700.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 664×*-lowering-*.f32
4 664×*-lowering-*.f64
3 434×accelerator-lowering-fma.f32
3 434×accelerator-lowering-fma.f64
2 712×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01755
17755
244055
3395655
0844350
Stop Event
1×iter limit
1×node limit
Counts
11 → 1 207
Calls
Call 1
Inputs
(* (* (+ x -4/29) y) 3)
(* (+ x -4/29) y)
(+ x -4/29)
(* -12/29 y)
(* (* x 3) y)
(* x 3)
(* (+ x -4/29) (* 3 y))
(* 3 y)
(/ 1 (+ (* x 3) -12/29))
(/ y (/ 1 (+ (* x 3) -12/29)))
(+ (* x 3) -12/29)
Outputs
(+.f64 (*.f64 y #s(literal -12/29 binary64)) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(+.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64)))
(+.f64 (*.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64))))) (*.f64 y (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64)) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 y #s(literal -12/29 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal -4/29 binary64) y) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal -12/29 binary64) y (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64)))
(fma.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(neg.f64 (*.f64 y (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))) y)))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (*.f64 y (+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 27 binary64))) #s(literal -1728/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) (*.f64 y (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))) (*.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (*.f64 y (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))))
(/.f64 (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64)))) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 27 binary64))) #s(literal -1728/24389 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))
(/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 27 binary64))) #s(literal -1728/24389 binary64))) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))
(/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 27 binary64))) #s(literal -1728/24389 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(/.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))
(/.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (*.f64 y (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (*.f64 y (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (*.f64 y (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) (*.f64 (+.f64 x #s(literal 4/29 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 27 binary64))) #s(literal -1728/24389 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))) (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
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(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))) (-.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))) (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 27 binary64))) #s(literal -1728/24389 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (*.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64))) (*.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64))) (-.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64))))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) (*.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64))) (-.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 27 binary64))) #s(literal -1728/24389 binary64)) (*.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (*.f64 x #s(literal -36/29 binary64))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (*.f64 x #s(literal -36/29 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 27 binary64))) #s(literal 1728/24389 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 27 binary64))) #s(literal -1728/24389 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) #s(literal -2985984/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) (+.f64 #s(literal 20736/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1296/841 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) #s(literal -20736/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 144/841 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683 binary64)) #s(literal -5159780352/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (+.f64 #s(literal 2985984/594823321 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 46656/24389 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) #s(literal -2985984/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 27 binary64))) #s(literal 1728/24389 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64))))))
(*.f64 (exp.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 27 binary64))) #s(literal -1728/24389 binary64)))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))))
(*.f64 (exp.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))))

simplify331.0ms (4%)

Memory
-11.9MiB live, 539.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 242×accelerator-lowering-fma.f32
7 242×accelerator-lowering-fma.f64
2 594×*-lowering-*.f32
2 594×*-lowering-*.f64
2 174×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01081142
12741016
26401016
312961016
435181008
558651008
679481008
08041930
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(+.f64 (*.f64 x #s(literal -841/48 binary64)) #s(literal -29/12 binary64))
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(+.f64 (*.f64 x (+.f64 #s(literal -841/48 binary64) (*.f64 x #s(literal -24389/192 binary64)))) #s(literal -29/12 binary64))
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(+.f64 (*.f64 x (+.f64 #s(literal -841/48 binary64) (*.f64 x (+.f64 #s(literal -24389/192 binary64) (*.f64 x #s(literal -707281/768 binary64)))))) #s(literal -29/12 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/2523 binary64) x) (-.f64 #s(literal 4/87 binary64) (/.f64 #s(literal -64/73167 binary64) (*.f64 x x)))) x)) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/2523 binary64) x) (-.f64 #s(literal 4/87 binary64) (/.f64 #s(literal -64/73167 binary64) (*.f64 x x)))) x)) x)
(* y (- (* 3 x) 12/29))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* y (- (* 3 x) 12/29))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))

eval196.0ms (2.4%)

Memory
44.5MiB live, 469.4MiB allocated
Compiler

Compiled 27 126 to 2 605 computations (90.4% saved)

prune150.0ms (1.8%)

Memory
-18.0MiB live, 310.8MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1 48961 495
Fresh011
Picked145
Done000
Total1 490111 501
Accuracy
100.0%
Counts
1 501 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
53.6%
(/.f64 y (+.f64 (*.f64 x #s(literal -841/48 binary64)) #s(literal -29/12 binary64)))
▶54.2%
(/.f64 y #s(literal -29/12 binary64))
▶99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) (*.f64 #s(literal 3 binary64) y)))
✓99.5%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
✓99.6%
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
▶48.1%
(*.f64 (*.f64 y x) #s(literal 3 binary64))
▶48.1%
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
▶54.4%
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓48.1%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
✓54.5%
(*.f64 #s(literal -12/29 binary64) y)
Compiler

Compiled 140 to 107 computations (23.6% saved)

simplify33.0ms (0.4%)

Memory
-8.4MiB live, 29.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(*.f64 (*.f64 y x) #s(literal 3 binary64))
✓cost-diff0
(*.f64 y #s(literal 3 binary64))
✓cost-diff0
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
✓cost-diff0
(*.f64 y #s(literal -4/29 binary64))
✓cost-diff128
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓cost-diff0
(/.f64 y #s(literal -29/12 binary64))
✓cost-diff0
(+.f64 x #s(literal -4/29 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) (*.f64 #s(literal 3 binary64) y))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) (*.f64 #s(literal 3 binary64) y)))
Rules
164×*-lowering-*.f32
164×*-lowering-*.f64
134×/-lowering-/.f32
134×/-lowering-/.f64
76×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01872
14068
27166
314566
422866
530266
634566
736566
836666
036665
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (/ (/ 1 (+ x -4/29)) (* 3 y)))
1
(/ (/ 1 (+ x -4/29)) (* 3 y))
(/ 1 (+ x -4/29))
(+ x -4/29)
x
-4/29
(* 3 y)
3
y
(/ y -29/12)
y
-29/12
(* (* y -4/29) 3)
(* y -4/29)
y
-4/29
3
(* (* y 3) x)
(* y 3)
y
3
x
(* (* y x) 3)
(* y x)
y
x
3
Outputs
(/ 1 (/ (/ 1 (+ x -4/29)) (* 3 y)))
(/.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 1/3 binary64) y))
1
#s(literal 1 binary64)
(/ (/ 1 (+ x -4/29)) (* 3 y))
(/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal -4/29 binary64)) y))
(/ 1 (+ x -4/29))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))
(+ x -4/29)
(+.f64 x #s(literal -4/29 binary64))
x
-4/29
#s(literal -4/29 binary64)
(* 3 y)
(/.f64 y #s(literal 1/3 binary64))
3
#s(literal 3 binary64)
y
(/ y -29/12)
(/.f64 y #s(literal -29/12 binary64))
y
-29/12
#s(literal -29/12 binary64)
(* (* y -4/29) 3)
(/.f64 y #s(literal -29/12 binary64))
(* y -4/29)
(*.f64 #s(literal -4/29 binary64) y)
y
-4/29
#s(literal -4/29 binary64)
3
#s(literal 3 binary64)
(* (* y 3) x)
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* y 3)
(/.f64 y #s(literal 1/3 binary64))
y
3
#s(literal 3 binary64)
x
(* (* y x) 3)
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(* y x)
(*.f64 x y)
y
x
3
#s(literal 3 binary64)

localize66.0ms (0.8%)

Memory
0.2MiB live, 158.0MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y x)
✓accuracy99.6%
(*.f64 (*.f64 y x) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy99.7%
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
✓accuracy99.8%
(*.f64 y #s(literal -4/29 binary64))
✓accuracy99.5%
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓accuracy99.3%
(/.f64 y #s(literal -29/12 binary64))
✓accuracy100.0%
(+.f64 x #s(literal -4/29 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))
✓accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) (*.f64 #s(literal 3 binary64) y))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) (*.f64 #s(literal 3 binary64) y)))
Samples
39.0ms256×0valid
Compiler

Compiled 76 to 20 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 10.0ms (39% of total)
ival-div: 7.0ms (27.3% of total)
const: 7.0ms (27.3% of total)
ival-add: 1.0ms (3.9% 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
15.9MiB live, 15.9MiB allocated
Counts
11 → 192
Calls
Call 1
Inputs
#<alt (/ 1 (/ (/ 1 (+ x -4/29)) (* 3 y)))>
#<alt (/ (/ 1 (+ x -4/29)) (* 3 y))>
#<alt (/ 1 (+ x -4/29))>
#<alt (+ x -4/29)>
#<alt (/ y -29/12)>
#<alt (* (* y -4/29) 3)>
#<alt (* y -4/29)>
#<alt (* (* y 3) x)>
#<alt (* y 3)>
#<alt (* (* y x) 3)>
#<alt (* y x)>
Outputs
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (/ -29/12 y)>
#<alt (- (* -841/48 (/ x y)) (* 29/12 (/ 1 y)))>
#<alt (- (* x (- (* -24389/192 (/ x y)) (* 841/48 (/ 1 y)))) (* 29/12 (/ 1 y)))>
#<alt (- (* x (- (* x (- (* -707281/768 (/ x y)) (* 24389/192 (/ 1 y)))) (* 841/48 (/ 1 y)))) (* 29/12 (/ 1 y)))>
#<alt (/ 1/3 (* x y))>
#<alt (/ (+ (* 1/3 (/ 1 y)) (* 4/87 (/ 1 (* x y)))) x)>
#<alt (/ (+ (/ 16/2523 (* (pow x 2) y)) (+ (/ 4/87 (* x y)) (* 1/3 (/ 1 y)))) x)>
#<alt (/ (+ (/ 4/87 (* x y)) (+ (* 1/3 (/ 1 y)) (+ (* 16/2523 (/ 1 (* (pow x 2) y))) (* 64/73167 (/ 1 (* (pow x 3) y)))))) x)>
#<alt (/ 1/3 (* x y))>
#<alt (/ (+ (* 1/3 (/ 1 y)) (* 4/87 (/ 1 (* x y)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 4/87 (/ 1 y)) (* 16/2523 (/ 1 (* x y)))) x)) (* 1/3 (/ 1 y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 64/73167 (* (pow x 2) y)) (+ (/ 16/2523 (* x y)) (* 4/87 (/ 1 y)))) x)) (* 1/3 (/ 1 y))) x))>
#<alt (/ 1/3 (* y (- x 4/29)))>
#<alt (/ 1/3 (* y (- x 4/29)))>
#<alt (/ 1/3 (* y (- x 4/29)))>
#<alt (/ 1/3 (* y (- x 4/29)))>
#<alt (/ 1/3 (* y (- x 4/29)))>
#<alt (/ 1/3 (* y (- x 4/29)))>
#<alt (/ 1/3 (* y (- x 4/29)))>
#<alt (/ 1/3 (* y (- x 4/29)))>
#<alt (/ 1/3 (* y (- x 4/29)))>
#<alt (/ 1/3 (* y (- x 4/29)))>
#<alt (/ 1/3 (* y (- x 4/29)))>
#<alt (/ 1/3 (* y (- x 4/29)))>
#<alt -29/4>
#<alt (- (* -841/16 x) 29/4)>
#<alt (- (* x (- (* -24389/64 x) 841/16)) 29/4)>
#<alt (- (* x (- (* x (- (* -707281/256 x) 24389/64)) 841/16)) 29/4)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 4/29 (/ 1 x))) x)>
#<alt (/ (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x)))) x)>
#<alt (/ (+ 1 (+ (/ 16/841 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 4/29 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/29 (* 16/841 (/ 1 x))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/29 (+ (/ 64/24389 (pow x 2)) (* 16/841 (/ 1 x)))) x)) 1) x))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

48 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/ (/ 1 (+ x -4/29)) (* 3 y))
0.0ms
y
@0
(/ (/ 1 (+ x -4/29)) (* 3 y))
0.0ms
x
@0
(/ (/ 1 (+ x -4/29)) (* 3 y))
0.0ms
x
@inf
(/ (/ 1 (+ x -4/29)) (* 3 y))
0.0ms
y
@inf
(* y -4/29)

rewrite815.0ms (9.9%)

Memory
-9.1MiB live, 628.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 256×/-lowering-/.f32
4 256×/-lowering-/.f64
2 722×*-lowering-*.f32
2 722×*-lowering-*.f64
1 946×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01853
18247
241147
3294247
0826646
Stop Event
1×iter limit
1×node limit
Counts
11 → 807
Calls
Call 1
Inputs
(/ 1 (/ (/ 1 (+ x -4/29)) (* 3 y)))
(/ (/ 1 (+ x -4/29)) (* 3 y))
(/ 1 (+ x -4/29))
(+ x -4/29)
(/ y -29/12)
(* (* y -4/29) 3)
(* y -4/29)
(* (* y 3) x)
(* y 3)
(* (* y x) 3)
(* y x)
Outputs
(+.f64 (/.f64 y #s(literal -29/12 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(+.f64 (/.f64 y #s(literal -29/12 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(+.f64 (/.f64 y #s(literal -29/12 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (/.f64 y #s(literal -29/12 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (/.f64 y #s(literal -29/12 binary64)))
(+.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 4/29 binary64)) (*.f64 (*.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 4/29 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)) (/.f64 y #s(literal -29/12 binary64)))
(+.f64 (*.f64 #s(literal 4/29 binary64) (*.f64 y #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -3 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -3 binary64))) (*.f64 #s(literal 4/29 binary64) (*.f64 y #s(literal -3 binary64))))
(exp.f64 (log.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y) (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y)) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))) y)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (*.f64 y (-.f64 #s(literal 4/29 binary64) x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (/.f64 y #s(literal 29/12 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1/3 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 y (-.f64 #s(literal 4/29 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 #s(literal 3 binary64) (*.f64 y (-.f64 #s(literal 4/29 binary64) x))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 4/29 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x)) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4/29 binary64) x)) (/.f64 #s(literal 1/3 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) y)) (*.f64 #s(literal 3 binary64) (*.f64 y (-.f64 #s(literal 4/29 binary64) x))))
(-.f64 (/.f64 #s(literal 4/29 binary64) (/.f64 #s(literal -1/3 binary64) y)) (/.f64 x (/.f64 #s(literal -1/3 binary64) y)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/3 binary64) y)) (/.f64 #s(literal -4/29 binary64) (/.f64 #s(literal -1/3 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal -1/3 binary64) y)) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal -1/3 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 29/12 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y (-.f64 #s(literal 4/29 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 x #s(literal 4/29 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 x #s(literal 4/29 binary64)))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 16/841 binary64))))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 x #s(literal 4/29 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 x #s(literal 4/29 binary64)))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 x #s(literal 4/29 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)))) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal -4/29 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal -4/29 binary64) x))))
(-.f64 (/.f64 (*.f64 (/.f64 y #s(literal -29/12 binary64)) (/.f64 y #s(literal -29/12 binary64))) (-.f64 (/.f64 y #s(literal -29/12 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y)))) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (-.f64 (/.f64 y #s(literal -29/12 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (/.f64 y #s(literal -29/12 binary64)))) (/.f64 (*.f64 (/.f64 y #s(literal -29/12 binary64)) (/.f64 y #s(literal -29/12 binary64))) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (/.f64 y #s(literal -29/12 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -29/12 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -29/12 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -29/12 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y)) (/.f64 y #s(literal -29/12 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (/.f64 y #s(literal -29/12 binary64)))
(fma.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 3 binary64) y) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(fma.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 3 binary64) y) (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal -4/29 binary64) y) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal -4/29 binary64) y) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal -4/29 binary64) y) (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (/.f64 y #s(literal -29/12 binary64)))
(fma.f64 y #s(literal -12/29 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 y #s(literal -12/29 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(fma.f64 y #s(literal -12/29 binary64) (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (/.f64 y #s(literal -29/12 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (/.f64 y #s(literal -29/12 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
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(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x y)
(*.f64 y x)

simplify286.0ms (3.5%)

Memory
-26.9MiB live, 549.7MiB allocated
Algorithm
1×egg-herbie
Rules
5 972×accelerator-lowering-fma.f32
5 972×accelerator-lowering-fma.f64
3 966×*-lowering-*.f32
3 966×*-lowering-*.f64
1 810×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541056
13901014
28751014
319201010
45511994
08297961
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(/ -29/12 y)
(- (* -841/48 (/ x y)) (* 29/12 (/ 1 y)))
(- (* x (- (* -24389/192 (/ x y)) (* 841/48 (/ 1 y)))) (* 29/12 (/ 1 y)))
(- (* x (- (* x (- (* -707281/768 (/ x y)) (* 24389/192 (/ 1 y)))) (* 841/48 (/ 1 y)))) (* 29/12 (/ 1 y)))
(/ 1/3 (* x y))
(/ (+ (* 1/3 (/ 1 y)) (* 4/87 (/ 1 (* x y)))) x)
(/ (+ (/ 16/2523 (* (pow x 2) y)) (+ (/ 4/87 (* x y)) (* 1/3 (/ 1 y)))) x)
(/ (+ (/ 4/87 (* x y)) (+ (* 1/3 (/ 1 y)) (+ (* 16/2523 (/ 1 (* (pow x 2) y))) (* 64/73167 (/ 1 (* (pow x 3) y)))))) x)
(/ 1/3 (* x y))
(/ (+ (* 1/3 (/ 1 y)) (* 4/87 (/ 1 (* x y)))) x)
(* -1 (/ (- (* -1 (/ (+ (* 4/87 (/ 1 y)) (* 16/2523 (/ 1 (* x y)))) x)) (* 1/3 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (+ (/ 64/73167 (* (pow x 2) y)) (+ (/ 16/2523 (* x y)) (* 4/87 (/ 1 y)))) x)) (* 1/3 (/ 1 y))) x))
(/ 1/3 (* y (- x 4/29)))
(/ 1/3 (* y (- x 4/29)))
(/ 1/3 (* y (- x 4/29)))
(/ 1/3 (* y (- x 4/29)))
(/ 1/3 (* y (- x 4/29)))
(/ 1/3 (* y (- x 4/29)))
(/ 1/3 (* y (- x 4/29)))
(/ 1/3 (* y (- x 4/29)))
(/ 1/3 (* y (- x 4/29)))
(/ 1/3 (* y (- x 4/29)))
(/ 1/3 (* y (- x 4/29)))
(/ 1/3 (* y (- x 4/29)))
-29/4
(- (* -841/16 x) 29/4)
(- (* x (- (* -24389/64 x) 841/16)) 29/4)
(- (* x (- (* x (- (* -707281/256 x) 24389/64)) 841/16)) 29/4)
(/ 1 x)
(/ (+ 1 (* 4/29 (/ 1 x))) x)
(/ (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x)))) x)
(/ (+ 1 (+ (/ 16/841 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))) x)
(/ 1 x)
(/ (+ 1 (* 4/29 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/29 (* 16/841 (/ 1 x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 4/29 (+ (/ 64/24389 (pow x 2)) (* 16/841 (/ 1 x)))) x)) 1) x))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(/ -29/12 y)
(/.f64 #s(literal -29/12 binary64) y)
(- (* -841/48 (/ x y)) (* 29/12 (/ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -29/12 binary64) (*.f64 x #s(literal -841/48 binary64))))
(- (* x (- (* -24389/192 (/ x y)) (* 841/48 (/ 1 y)))) (* 29/12 (/ 1 y)))
(+.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal -841/48 binary64) (*.f64 x #s(literal -24389/192 binary64)))) (/.f64 #s(literal -29/12 binary64) y))
(- (* x (- (* x (- (* -707281/768 (/ x y)) (* 24389/192 (/ 1 y)))) (* 841/48 (/ 1 y)))) (* 29/12 (/ 1 y)))
(+.f64 (*.f64 x (+.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal -24389/192 binary64) (*.f64 x #s(literal -707281/768 binary64)))) (/.f64 #s(literal -841/48 binary64) y))) (/.f64 #s(literal -29/12 binary64) y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 y x))
(/ (+ (* 1/3 (/ 1 y)) (* 4/87 (/ 1 (* x y)))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x))) x)
(/ (+ (/ 16/2523 (* (pow x 2) y)) (+ (/ 4/87 (* x y)) (* 1/3 (/ 1 y)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal -16/2523 binary64) (*.f64 y x)) (/.f64 #s(literal -4/87 binary64) y)) x)) x)
(/ (+ (/ 4/87 (* x y)) (+ (* 1/3 (/ 1 y)) (+ (* 16/2523 (/ 1 (* (pow x 2) y))) (* 64/73167 (/ 1 (* (pow x 3) y)))))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -16/2523 binary64) (*.f64 y x)) (/.f64 #s(literal -4/87 binary64) y)) (/.f64 (/.f64 #s(literal -64/73167 binary64) y) (*.f64 x x))) x)) x)
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 y x))
(/ (+ (* 1/3 (/ 1 y)) (* 4/87 (/ 1 (* x y)))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x))) x)
(* -1 (/ (- (* -1 (/ (+ (* 4/87 (/ 1 y)) (* 16/2523 (/ 1 (* x y)))) x)) (* 1/3 (/ 1 y))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal -16/2523 binary64) (*.f64 y x)) (/.f64 #s(literal -4/87 binary64) y)) x)) x)
(* -1 (/ (- (* -1 (/ (+ (/ 64/73167 (* (pow x 2) y)) (+ (/ 16/2523 (* x y)) (* 4/87 (/ 1 y)))) x)) (* 1/3 (/ 1 y))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -16/2523 binary64) (*.f64 y x)) (/.f64 #s(literal -4/87 binary64) y)) (/.f64 (/.f64 #s(literal -64/73167 binary64) y) (*.f64 x x))) x)) x)
(/ 1/3 (* y (- x 4/29)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(/ 1/3 (* y (- x 4/29)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(/ 1/3 (* y (- x 4/29)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(/ 1/3 (* y (- x 4/29)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(/ 1/3 (* y (- x 4/29)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(/ 1/3 (* y (- x 4/29)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(/ 1/3 (* y (- x 4/29)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(/ 1/3 (* y (- x 4/29)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(/ 1/3 (* y (- x 4/29)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(/ 1/3 (* y (- x 4/29)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(/ 1/3 (* y (- x 4/29)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(/ 1/3 (* y (- x 4/29)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
-29/4
#s(literal -29/4 binary64)
(- (* -841/16 x) 29/4)
(+.f64 (*.f64 x #s(literal -841/16 binary64)) #s(literal -29/4 binary64))
(- (* x (- (* -24389/64 x) 841/16)) 29/4)
(+.f64 (*.f64 x (+.f64 #s(literal -841/16 binary64) (*.f64 x #s(literal -24389/64 binary64)))) #s(literal -29/4 binary64))
(- (* x (- (* x (- (* -707281/256 x) 24389/64)) 841/16)) 29/4)
(+.f64 (*.f64 x (+.f64 #s(literal -841/16 binary64) (*.f64 x (+.f64 #s(literal -24389/64 binary64) (*.f64 x #s(literal -707281/256 binary64)))))) #s(literal -29/4 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 4/29 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/29 binary64) x)) x)
(/ (+ 1 (+ (/ 16/841 (pow x 2)) (* 4/29 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 16/841 binary64) x)) x)) x)
(/ (+ 1 (+ (/ 16/841 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/841 binary64) x) (-.f64 #s(literal 4/29 binary64) (/.f64 #s(literal -64/24389 binary64) (*.f64 x x)))) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 4/29 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/29 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/29 (* 16/841 (/ 1 x))) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 16/841 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/29 (+ (/ 64/24389 (pow x 2)) (* 16/841 (/ 1 x)))) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/841 binary64) x) (-.f64 #s(literal 4/29 binary64) (/.f64 #s(literal -64/24389 binary64) (*.f64 x x)))) x)) x)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

eval123.0ms (1.5%)

Memory
-2.9MiB live, 319.6MiB allocated
Compiler

Compiled 17 695 to 2 748 computations (84.5% saved)

prune104.0ms (1.3%)

Memory
31.3MiB live, 304.7MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New9972999
Fresh112
Picked145
Done224
Total1 00191 010
Accuracy
100.0%
Counts
1 010 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 1/3 binary64))
▶99.4%
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
▶48.0%
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
✓54.2%
(/.f64 y #s(literal -29/12 binary64))
✓48.1%
(*.f64 (*.f64 y x) #s(literal 3 binary64))
✓48.1%
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
✓54.4%
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓48.1%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
✓54.5%
(*.f64 #s(literal -12/29 binary64) y)
Compiler

Compiled 63 to 48 computations (23.8% saved)

simplify8.0ms (0.1%)

Memory
-26.7MiB live, 15.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal -4/29 binary64))
✓cost-diff0
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓cost-diff0
(/.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 1/3 binary64))
✓cost-diff0
(+.f64 x #s(literal -4/29 binary64))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))
✓cost-diff0
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) x)
✓cost-diff0
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
Rules
40×*-lowering-*.f32
40×*-lowering-*.f64
24×accelerator-lowering-fma.f32
24×accelerator-lowering-fma.f64
20×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
11749
23749
34349
44749
55249
65349
05349
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ y (/ 1/3 x))
y
(/ 1/3 x)
1/3
x
(/ y (/ 1/3 (+ x -4/29)))
y
(/ 1/3 (+ x -4/29))
1/3
(+ x -4/29)
x
-4/29
(/ (* (+ x -4/29) y) 1/3)
(* (+ x -4/29) y)
(+ x -4/29)
x
-4/29
y
1/3
Outputs
(/ y (/ 1/3 x))
(*.f64 y (/.f64 x #s(literal 1/3 binary64)))
y
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
x
(/ y (/ 1/3 (+ x -4/29)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
y
(/ 1/3 (+ x -4/29))
(/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))
1/3
#s(literal 1/3 binary64)
(+ x -4/29)
(+.f64 x #s(literal -4/29 binary64))
x
-4/29
#s(literal -4/29 binary64)
(/ (* (+ x -4/29) y) 1/3)
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(* (+ x -4/29) y)
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ x -4/29)
(+.f64 x #s(literal -4/29 binary64))
x
-4/29
#s(literal -4/29 binary64)
y
1/3
#s(literal 1/3 binary64)

localize44.0ms (0.5%)

Memory
25.6MiB live, 103.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal -4/29 binary64))
✓accuracy99.9%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓accuracy99.6%
(/.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 1/3 binary64))
✓accuracy100.0%
(+.f64 x #s(literal -4/29 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))
✓accuracy99.5%
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
✓accuracy99.7%
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
Samples
29.0ms256×0valid
Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 8.0ms (44.5% of total)
const: 6.0ms (33.4% of total)
ival-mult: 2.0ms (11.1% of total)
ival-add: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-26.0MiB live, 12.8MiB allocated
Counts
7 → 132
Calls
Call 1
Inputs
#<alt (/ y (/ 1/3 x))>
#<alt (/ 1/3 x)>
#<alt (/ y (/ 1/3 (+ x -4/29)))>
#<alt (/ 1/3 (+ x -4/29))>
#<alt (+ x -4/29)>
#<alt (/ (* (+ x -4/29) y) 1/3)>
#<alt (* (+ x -4/29) y)>
Outputs
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt -29/12>
#<alt (- (* -841/48 x) 29/12)>
#<alt (- (* x (- (* -24389/192 x) 841/48)) 29/12)>
#<alt (- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x)>
#<alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)>
#<alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* -4/29 y)>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
Calls

33 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ 1/3 x)
1.0ms
x
@-inf
(/ 1/3 x)
0.0ms
x
@0
(/ 1/3 x)
0.0ms
x
@inf
(/ y (/ 1/3 (+ x -4/29)))
0.0ms
y
@0
(/ y (/ 1/3 x))

rewrite395.0ms (4.8%)

Memory
25.2MiB live, 812.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 528×/-lowering-/.f32
4 528×/-lowering-/.f64
4 448×*-lowering-*.f32
4 448×*-lowering-*.f64
1 868×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
16635
240035
3322135
0888833
Stop Event
1×iter limit
1×node limit
Counts
7 → 1 666
Calls
Call 1
Inputs
(/ y (/ 1/3 x))
(/ 1/3 x)
(/ y (/ 1/3 (+ x -4/29)))
(/ 1/3 (+ x -4/29))
(+ x -4/29)
(/ (* (+ x -4/29) y) 1/3)
(* (+ x -4/29) y)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -1/3 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 y (/.f64 #s(literal -1/3 binary64) x)))
(neg.f64 (/.f64 y (/.f64 #s(literal -1/3 binary64) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1/3 binary64) x))))
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)))
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(/.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y x)))
(/.f64 (/.f64 x #s(literal -1/3 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -3 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(/.f64 (/.f64 y (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64))
(/.f64 (*.f64 y x) #s(literal 1/3 binary64))
(/.f64 (/.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1/3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x))) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (/.f64 y #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1/3 binary64))
(/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) x) y)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (-.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1/3 binary64) (*.f64 y x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 y #s(literal 1/3 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 y #s(literal -1/3 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 y (/.f64 #s(literal -1 binary64) x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/3 binary64) x))
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(/.f64 (*.f64 y (+.f64 #s(literal 64/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (*.f64 y (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -64/24389 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 (*.f64 y #s(literal -4/29 binary64)) (*.f64 y #s(literal -4/29 binary64))) (*.f64 (*.f64 y x) (*.f64 y #s(literal -4/29 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal -64/24389 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 y #s(literal -4/29 binary64)) (*.f64 y #s(literal -4/29 binary64))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y #s(literal -4/29 binary64)) (*.f64 y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y #s(literal -4/29 binary64)) (*.f64 y #s(literal -4/29 binary64)))) (-.f64 (*.f64 y x) (*.f64 y #s(literal -4/29 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -4/29 binary64)) (*.f64 y #s(literal -4/29 binary64))) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 y #s(literal -4/29 binary64)) (*.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 64/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) y)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (*.f64 y (+.f64 #s(literal 64/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) y)) (neg.f64 (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -64/24389 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 (*.f64 y #s(literal -4/29 binary64)) (*.f64 y #s(literal -4/29 binary64))) (*.f64 (*.f64 y x) (*.f64 y #s(literal -4/29 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -64/24389 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (*.f64 (*.f64 y #s(literal -4/29 binary64)) (*.f64 y #s(literal -4/29 binary64))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y #s(literal -4/29 binary64)) (*.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y #s(literal -4/29 binary64)) (*.f64 y #s(literal -4/29 binary64))))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 y #s(literal -4/29 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y #s(literal -4/29 binary64)) (*.f64 y #s(literal -4/29 binary64))) (*.f64 (*.f64 y x) (*.f64 y x)))) (neg.f64 (-.f64 (*.f64 y #s(literal -4/29 binary64)) (*.f64 y x))))
(pow.f64 (*.f64 y (+.f64 x #s(literal -4/29 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))) (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (*.f64 y (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) #s(literal -1 binary64))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 4/29 binary64) x))
(*.f64 (-.f64 #s(literal 4/29 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)) (/.f64 y (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))) y))
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 y (+.f64 x #s(literal 4/29 binary64))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 4/29 binary64) x)))
(*.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(*.f64 (*.f64 y (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))))
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))) (-.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))) (+.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.f64 x #s(literal -4/29 binary64)))
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (+.f64 (*.f64 x x) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))))

simplify321.0ms (3.9%)

Memory
6.5MiB live, 522.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 084×accelerator-lowering-fma.f32
7 084×accelerator-lowering-fma.f64
2 492×*-lowering-*.f32
2 492×*-lowering-*.f64
2 130×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099732
1248732
2583732
31178732
43371724
55839724
08002676
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
Outputs
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(+.f64 (*.f64 x #s(literal -841/48 binary64)) #s(literal -29/12 binary64))
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(+.f64 (*.f64 x (+.f64 #s(literal -841/48 binary64) (*.f64 x #s(literal -24389/192 binary64)))) #s(literal -29/12 binary64))
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(+.f64 (*.f64 x (+.f64 #s(literal -841/48 binary64) (*.f64 x (+.f64 #s(literal -24389/192 binary64) (*.f64 x #s(literal -707281/768 binary64)))))) #s(literal -29/12 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) (/.f64 #s(literal 64/73167 binary64) (*.f64 x x))) x)) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) (/.f64 #s(literal 64/73167 binary64) (*.f64 x x))) x)) x)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))

eval297.0ms (3.6%)

Memory
16.9MiB live, 618.2MiB allocated
Compiler

Compiled 32 604 to 3 043 computations (90.7% saved)

prune169.0ms (2.1%)

Memory
-9.1MiB live, 437.1MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New1 94321 945
Fresh000
Picked033
Done066
Total1 943111 954
Accuracy
100.0%
Counts
1 954 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(/.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 1/3 binary64))
48.1%
(/.f64 (*.f64 y x) #s(literal 1/3 binary64))
✓99.4%
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
✓48.0%
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
✓54.2%
(/.f64 y #s(literal -29/12 binary64))
48.1%
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
✓48.1%
(*.f64 (*.f64 y x) #s(literal 3 binary64))
✓48.1%
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
✓54.4%
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
✓48.1%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
✓54.5%
(*.f64 #s(literal -12/29 binary64) y)
Compiler

Compiled 184 to 105 computations (42.9% saved)

regimes35.0ms (0.4%)

Memory
-17.0MiB live, 58.3MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 y x) #s(literal 1/3 binary64))
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
(/.f64 y (+.f64 (*.f64 x #s(literal -841/48 binary64)) #s(literal -29/12 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 1/3 binary64))
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) (*.f64 #s(literal 3 binary64) y)))
Outputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Calls

5 calls:

12.0ms
x
7.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
5.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
5.0ms
y
5.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
99.8%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
99.8%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes9.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 y x) #s(literal 1/3 binary64))
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
(/.f64 y (+.f64 (*.f64 x #s(literal -841/48 binary64)) #s(literal -29/12 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 1/3 binary64))
Outputs
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
Calls

2 calls:

4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes35.0ms (0.4%)

Memory
-22.9MiB live, 13.0MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 y x) #s(literal 1/3 binary64))
Outputs
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 (*.f64 y x) #s(literal 1/3 binary64))
Calls

2 calls:

31.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
98.1%3x
62.7%4y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
Outputs
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
Outputs
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
Outputs
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Accuracy

Total -0.2b remaining (-0.7%)

Threshold costs -0.2b (-0.7%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
Outputs
(*.f64 #s(literal -12/29 binary64) y)
Calls

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
54.5%1y
54.5%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch42.0ms (0.5%)

Memory
-6.3MiB live, 62.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.0007226317717636522
17611009.517300773
20.0ms
-4569.958159753086
-0.00011546301056244986
Samples
23.0ms304×0valid
Compiler

Compiled 280 to 223 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sub: 10.0ms (60% of total)
ival-mult: 4.0ms (24% of total)
ival-div: 2.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory
8.4MiB live, 52.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
0.0007226317717636522
17611009.517300773
11.0ms
-4569.958159753086
-0.00011546301056244986
Samples
23.0ms304×0valid
Compiler

Compiled 280 to 223 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 11.0ms (66.4% of total)
ival-mult: 3.0ms (18.1% of total)
ival-sub: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Memory
-15.1MiB live, 60.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.0007226317717636522
17611009.517300773
15.0ms
-4569.958159753086
-0.00011546301056244986
Samples
17.0ms304×0valid
Compiler

Compiled 280 to 223 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (62.6% of total)
ival-div: 2.0ms (17.9% of total)
ival-sub: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Memory
28.4MiB live, 67.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.0007226317717636522
17611009.517300773
11.0ms
-4569.958159753086
-0.00011546301056244986
Samples
14.0ms304×0valid
Compiler

Compiled 280 to 223 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (37.8% of total)
ival-div: 2.0ms (25.2% of total)
ival-sub: 1.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Memory
-35.2MiB live, 21.7MiB allocated
Algorithm
1×egg-herbie
Rules
26×*-commutative_binary64
10×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03499
15099
25999
36599
47099
57299
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 #s(literal -12/29 binary64) y) (/.f64 (*.f64 y x) #s(literal 1/3 binary64))))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 y #s(literal 3 binary64)) x) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) y) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))
(*.f64 #s(literal -12/29 binary64) y)
Outputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 #s(literal -12/29 binary64) y) (/.f64 (*.f64 y x) #s(literal 1/3 binary64))))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 y #s(literal -12/29 binary64)) (/.f64 (*.f64 x y) #s(literal 1/3 binary64))))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 y #s(literal -12/29 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 y #s(literal 3 binary64)) x) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 y #s(literal -12/29 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) y) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 y #s(literal -12/29 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 y #s(literal -12/29 binary64))

soundness1.5s (17.7%)

Memory
32.4MiB live, 662.7MiB allocated
Rules
7 242×accelerator-lowering-fma.f32
7 242×accelerator-lowering-fma.f64
4 904×/-lowering-/.f32
4 904×/-lowering-/.f64
4 664×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
16635
240035
3322135
0888833
01016
13116
216016
3125716
0889714
01755
17755
244055
3395655
0844350
01081142
12741016
26401016
312961016
435181008
558651008
679481008
08041930
042284
1112242
2290242
3614242
41561242
52661242
63742242
74238242
84411242
94431242
104445242
115179242
125559242
135785242
146236242
156598242
166604242
176616242
186616242
08636212
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 222 to 122 computations (45% saved)

preprocess117.0ms (1.4%)

Memory
6.3MiB live, 119.3MiB allocated
Remove

(negabs y)

Compiler

Compiled 338 to 172 computations (49.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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