Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, E

Time bar (total: 8.4s)

analyze0.0ms (0%)

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

Compiled 11 to 9 computations (18.2% saved)

sample2.5s (30.3%)

Memory
42.8MiB live, 1 176.2MiB allocated
Samples
2.2s7 606×0valid
41.0ms288×2valid
29.0ms362×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 1.1s (93.2% of total)
ival-sub: 55.0ms (4.6% of total)
adjust: 10.0ms (0.8% of total)
exact: 7.0ms (0.6% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess74.0ms (0.9%)

Memory
2.0MiB live, 116.7MiB allocated
Algorithm
1×egg-herbie
Rules
776×lower-fma.f64
776×lower-fma.f32
480×lower-*.f32
474×lower-*.f64
238×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
13318
29714
333214
492314
5133314
6134414
7134814
8134814
079
0119
1219
2467
3997
41967
52857
63807
75817
86827
97697
109437
1110207
1210207
1310207
010206
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))

explain97.0ms (1.2%)

Memory
19.2MiB live, 175.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
00-0-(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
00-0-#s(literal 2 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
00-0-(*.f64 x #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
21.0ms424×0valid
5.0ms58×1valid
4.0ms30×2valid
Compiler

Compiled 78 to 32 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 10.0ms (61.6% of total)
ival-sub: 3.0ms (18.5% of total)
adjust: 1.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Compiler

Compiled 10 to 7 computations (30% saved)

simplify46.0ms (0.6%)

Memory
0.1MiB live, 45.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
✓cost-diff128
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓cost-diff320
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
Rules
776×lower-fma.f64
776×lower-fma.f32
480×lower-*.f32
474×lower-*.f64
218×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
01127
12127
24623
39923
419623
528523
638023
758123
868223
976923
1094323
11102023
12102023
13102023
0102020
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
#s(literal 3 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(*.f64 x #s(literal 3 binary64))
x
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
#s(literal 3 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x

localize28.0ms (0.3%)

Memory
-0.5MiB live, 38.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy99.9%
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓accuracy99.8%
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Samples
13.0ms212×0valid
4.0ms29×1valid
2.0ms15×2valid
Compiler

Compiled 29 to 9 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (75% of total)
ival-sub: 2.0ms (16.7% of total)
adjust: 1.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))>
#<alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)>
#<alt (*.f64 x #s(literal 3 binary64))>
Outputs
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt 2>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<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)>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* 3 (- 2 (* x 3)))
0.0ms
x
@0
(* (* 3 (- 2 (* x 3))) x)
0.0ms
x
@0
(* 3 (- 2 (* x 3)))
0.0ms
x
@-inf
(* x 3)
0.0ms
x
@-inf
(* (* 3 (- 2 (* x 3))) x)

rewrite674.0ms (8%)

Memory
-31.9MiB live, 677.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
15 340×lower-fma.f64
15 340×lower-fma.f32
4 142×lower-*.f32
4 136×lower-*.f64
3 486×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01124
13524
221020
3172820
0954617
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 850
Calls
Call 1
Inputs
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 x #s(literal 3 binary64))
Outputs
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -3 binary64) #s(literal 6 binary64))
(fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64) #s(literal 6 binary64))
(fma.f64 (neg.f64 x) #s(literal 9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64))
(fma.f64 #s(literal 9 binary64) (neg.f64 x) #s(literal 6 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 6 binary64))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) (*.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal -3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (+.f64 #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) (*.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64))))))
(/.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (neg.f64 (+.f64 #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) (*.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (neg.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (fma.f64 (*.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 36 binary64)) (-.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
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(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))
(neg.f64 (*.f64 x #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal -3 binary64)))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)))

simplify201.0ms (2.4%)

Memory
-5.6MiB live, 244.5MiB allocated
Algorithm
1×egg-herbie
Rules
3 190×lower-*.f64
3 190×lower-*.f32
3 012×lower-fma.f64
3 012×lower-fma.f32
1 366×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032216
182216
2169216
3406216
41019216
51335216
62557216
75031216
86891216
97986216
08012189
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
Outputs
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))

eval144.0ms (1.7%)

Memory
8.2MiB live, 234.3MiB allocated
Compiler

Compiled 20 420 to 2 295 computations (88.8% saved)

prune149.0ms (1.8%)

Memory
-21.7MiB live, 268.8MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New88810898
Fresh000
Picked101
Done000
Total88910899
Accuracy
100.0%
Counts
899 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
▶99.6%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
50.5%
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
99.8%
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
99.7%
(*.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
▶49.6%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
▶49.6%
(*.f64 (*.f64 #s(literal -9 binary64) x) x)
▶52.1%
(*.f64 x #s(literal 6 binary64))
49.6%
(*.f64 #s(literal -9 binary64) (*.f64 x x))
Compiler

Compiled 160 to 116 computations (27.5% saved)

simplify8.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
✓cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
✓cost-diff0
(*.f64 x #s(literal -3 binary64))
✓cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓cost-diff320
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))
✓cost-diff0
(*.f64 #s(literal -9 binary64) x)
✓cost-diff0
(*.f64 (*.f64 #s(literal -9 binary64) x) x)
✓cost-diff0
(*.f64 x #s(literal 6 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal -9 binary64))
✓cost-diff320
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
Rules
70×lower-*.f32
56×lower-*.f64
36×lower-fma.f32
32×lower-fma.f64
26×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01874
03170
14966
26666
38666
49266
09266
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
x
#s(literal 6 binary64)
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
#s(literal -9 binary64)
(*.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(*.f64 (*.f64 #s(literal -9 binary64) x) x)
(*.f64 #s(literal -9 binary64) x)
#s(literal -9 binary64)
x
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))
#s(literal 3 binary64)
(*.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
#s(literal -9 binary64)
#s(literal 6 binary64)
Outputs
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
x
#s(literal 6 binary64)
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(*.f64 x x)
#s(literal -9 binary64)
(*.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(*.f64 (*.f64 #s(literal -9 binary64) x) x)
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(*.f64 #s(literal -9 binary64) x)
(*.f64 x #s(literal -9 binary64))
#s(literal -9 binary64)
x
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -9 binary64))
#s(literal 3 binary64)
(*.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
#s(literal -9 binary64)
#s(literal 6 binary64)

localize135.0ms (1.6%)

Memory
-31.2MiB live, 122.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
✓accuracy99.6%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
✓accuracy100.0%
(*.f64 x #s(literal -3 binary64))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))
✓accuracy100.0%
(*.f64 #s(literal -9 binary64) x)
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -9 binary64) x) x)
✓accuracy100.0%
(*.f64 x #s(literal 6 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -9 binary64))
Samples
83.0ms215×0valid
22.0ms19×2valid
5.0ms22×1valid
Compiler

Compiled 80 to 21 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 13.0ms (57.3% of total)
ival-div: 4.0ms (17.6% of total)
ival-add: 3.0ms (13.2% of total)
adjust: 1.0ms (4.4% of total)
exact: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))>
#<alt (*.f64 (*.f64 x x) #s(literal -9 binary64))>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal 6 binary64))>
#<alt (*.f64 (*.f64 #s(literal -9 binary64) x) x)>
#<alt (*.f64 #s(literal -9 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))>
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)>
#<alt (*.f64 x #s(literal -3 binary64))>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))>
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))>
Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<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 (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/4 x))>
#<alt (+ 1/6 (* x (+ 1/4 (* 3/8 x))))>
#<alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)>
#<alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* x 6) (* (* x x) -9))
0.0ms
x
@-inf
(* -9 x)
0.0ms
x
@0
(+ (* x 6) (* (* x x) -9))
0.0ms
x
@-inf
(/ x (/ 1 (+ (* x -9) 6)))
0.0ms
x
@inf
(* x 6)

rewrite452.0ms (5.4%)

Memory
21.6MiB live, 655.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 998×lower-fma.f32
8 994×lower-fma.f64
6 178×lower-*.f32
6 164×lower-*.f64
2 030×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01860
03156
19252
249052
3508652
0940052
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 775
Calls
Call 1
Inputs
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
(*.f64 x #s(literal 6 binary64))
(*.f64 (*.f64 #s(literal -9 binary64) x) x)
(*.f64 #s(literal -9 binary64) x)
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(*.f64 x #s(literal -3 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
Outputs
(+.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
(+.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(+.f64 (*.f64 x (/.f64 #s(literal 36 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))))
(+.f64 (*.f64 (neg.f64 x) #s(literal -6 binary64)) (*.f64 (neg.f64 x) (*.f64 x #s(literal 9 binary64))))
(+.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 9 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(+.f64 (*.f64 #s(literal -6 binary64) (neg.f64 x)) (*.f64 (*.f64 x #s(literal 9 binary64)) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (neg.f64 x)) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(exp.f64 (+.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(-.f64 (*.f64 x (/.f64 #s(literal 36 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))))
(-.f64 (/.f64 (*.f64 x (/.f64 #s(literal 36 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 x (/.f64 #s(literal 36 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 x (/.f64 (*.f64 x #s(literal 36 binary64)) (*.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 x (exp.f64 (log.f64 #s(literal 6 binary64))) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal 6 binary64) x (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal 6 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 6 binary64))) (*.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) (*.f64 x x) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 36 binary64)) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (*.f64 x #s(literal -9 binary64)) x (*.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 x) #s(literal -6 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal 9 binary64))))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal 9 binary64)) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 #s(literal 36 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -6 binary64) (neg.f64 x) (*.f64 (*.f64 x #s(literal 9 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 x #s(literal 9 binary64)) (neg.f64 x) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x #s(literal 36 binary64)) (/.f64 x (*.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 (*.f64 x (*.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) x) (/.f64 (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (/.f64 #s(literal 36 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 6 binary64))) x) (/.f64 #s(literal 6 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (/.f64 (*.f64 x #s(literal 36 binary64)) x) (/.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))))) (fma.f64 x (*.f64 x #s(literal 36 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (*.f64 x #s(literal -54 binary64))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (exp.f64 (log.f64 #s(literal -9 binary64))) (*.f64 x x) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal -3 binary64)))) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal 6 binary64))) x (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 (exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))))) (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))))) (exp.f64 (log.f64 #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64)))
(neg.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 36 binary64)) (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))))))
(neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (fma.f64 x (*.f64 x #s(literal 36 binary64)) (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (*.f64 x (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))))
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(/.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))))
(/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))))
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(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) #s(literal 1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (neg.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (neg.f64 (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (fma.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (*.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) (fma.f64 x (/.f64 (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -387420489 binary64) #s(literal 10077696 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal 46656 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -157464 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) (fma.f64 (*.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) #s(literal -1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))))
(/.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (exp.f64 (log.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(/.f64 (exp.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (exp.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))))) (exp.f64 (log.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (exp.f64 (log.f64 (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))))
(pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(*.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (sqrt.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (fma.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (*.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))))) (fma.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (-.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (*.f64 x #s(literal -54 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (*.f64 x #s(literal -54 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))))
(*.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))))
(*.f64 (exp.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))))

simplify562.0ms (6.7%)

Memory
-7.0MiB live, 446.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 582×lower-fma.f64
8 582×lower-fma.f32
2 454×lower-*.f64
2 454×lower-*.f32
1 484×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074674
1194670
2422664
3860664
41856664
53687664
66315664
08175631
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
Outputs
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9/16 binary64) #s(literal 3/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal -2/27 binary64) x (+.f64 #s(literal -4/81 binary64) (/.f64 #s(literal -8/243 binary64) x))) (*.f64 x x))) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal -2/27 binary64) x (+.f64 #s(literal -4/81 binary64) (/.f64 #s(literal -8/243 binary64) x))) (*.f64 x x))) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))

eval107.0ms (1.3%)

Memory
-4.3MiB live, 300.5MiB allocated
Compiler

Compiled 16 483 to 1 457 computations (91.2% saved)

prune73.0ms (0.9%)

Memory
21.9MiB live, 178.1MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New9136919
Fresh415
Picked235
Done000
Total91910929
Accuracy
100.0%
Counts
929 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
92.4%
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
▶52.0%
(/.f64 x #s(literal 1/6 binary64))
52.1%
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
▶99.8%
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶49.6%
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
▶49.6%
(*.f64 (*.f64 x x) #s(literal -9 binary64))
▶49.5%
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
✓49.6%
(*.f64 (*.f64 #s(literal -9 binary64) x) x)
✓52.1%
(*.f64 x #s(literal 6 binary64))
Compiler

Compiled 125 to 91 computations (27.2% saved)

simplify9.0ms (0.1%)

Memory
-24.7MiB live, 12.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 3 binary64)))
✓cost-diff320
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
✓cost-diff0
(*.f64 x #s(literal -3 binary64))
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff320
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
✓cost-diff0
(/.f64 x #s(literal 1/6 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal -9 binary64))
✓cost-diff0
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓cost-diff0
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
Rules
66×lower-*.f32
50×lower-*.f64
36×lower-fma.f32
34×lower-fma.f64
28×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01662
02758
14358
26558
36858
06858
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
x
#s(literal -9 binary64)
#s(literal 6 binary64)
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
x
#s(literal -9 binary64)
(/.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(*.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
x
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -3 binary64)
Outputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
x
#s(literal -9 binary64)
#s(literal 6 binary64)
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(*.f64 x x)
x
#s(literal -9 binary64)
(/.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(*.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
x
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -3 binary64)

localize144.0ms (1.7%)

Memory
12.8MiB live, 140.5MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 x #s(literal -3 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
✓accuracy99.7%
(/.f64 x #s(literal 1/6 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -9 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓accuracy99.9%
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
Samples
70.0ms168×0valid
51.0ms84×5exit
1.0ms3×1valid
0.0ms1×2valid
Compiler

Compiled 66 to 19 computations (71.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 32.0ms (55.4% of total)
const: 12.0ms (20.8% of total)
adjust: 6.0ms (10.4% of total)
ival-div: 5.0ms (8.7% of total)
ival-add: 2.0ms (3.5% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)>
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))>
#<alt (*.f64 (*.f64 x x) #s(literal -9 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 x #s(literal 1/6 binary64))>
#<alt (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (*.f64 x #s(literal -3 binary64))>
#<alt (*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))>
#<alt (*.f64 x (*.f64 x #s(literal 3 binary64)))>
Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<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 (* -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 (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* (* x 3) (* x -3))
0.0ms
x
@inf
(* x (* x 3))
0.0ms
x
@0
(* x (* x 3))
0.0ms
x
@0
(* (+ (* x -9) 6) x)
0.0ms
x
@inf
(* (+ (* x -9) 6) x)

rewrite459.0ms (5.5%)

Memory
-3.7MiB live, 715.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
13 372×lower-fma.f32
13 370×lower-fma.f64
4 414×lower-*.f32
4 398×lower-*.f64
3 926×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01646
02742
16842
224542
3165242
0839342
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 333
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
(/.f64 x #s(literal 1/6 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 x #s(literal -3 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Outputs
(+.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(-.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal -6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (-.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -6 binary64)))))
(fma.f64 x #s(literal 6 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) (*.f64 x x) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x #s(literal -9 binary64)) x (*.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 x) #s(literal -6 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -6 binary64) (neg.f64 x) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -6 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))))) (fma.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -6 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x x) #s(literal 36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (*.f64 x (-.f64 #s(literal -216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (*.f64 x (neg.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) (*.f64 x (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (*.f64 (-.f64 #s(literal -216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))
(/.f64 (fma.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 36 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (-.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x x) #s(literal 36 binary64))) (fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -6 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal -216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal -216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))) x) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) x) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 36 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (neg.f64 (-.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x x) #s(literal 36 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -6 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (neg.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))) x)) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) x)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) x)) (neg.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 (*.f64 x x) #s(literal 36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal -6 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) #s(literal -1 binary64))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) x))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))
(*.f64 (fma.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 36 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))))))
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (fma.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (*.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))))) (fma.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (-.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (*.f64 x #s(literal -54 binary64))))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (*.f64 x #s(literal -54 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64)) (fma.f64 (*.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -1296 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -387420489 binary64) #s(literal 10077696 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal 46656 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 157464 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1/2 binary64)))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
(*.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))) #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 6 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -6 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 x #s(literal -6 binary64)))
(/.f64 x #s(literal 1/6 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/6 binary64) x))
(/.f64 #s(literal -6 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x #s(literal -6 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 36 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal -6 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 36 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -6 binary64))))
(pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64))
(*.f64 x #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) x)
(*.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -6 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -6 binary64)))
(*.f64 #s(literal -6 binary64) (neg.f64 x))
(*.f64 #s(literal -6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -6 binary64))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
(*.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x)
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
(*.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))) #s(literal 3 binary64))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 3 binary64)) x)

simplify195.0ms (2.3%)

Memory
0.0MiB live, 273.3MiB allocated
Algorithm
1×egg-herbie
Rules
4 034×lower-*.f64
4 034×lower-*.f32
2 916×lower-fma.f64
2 916×lower-fma.f32
1 610×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026512
160512
2113512
3250512
4614512
5849512
61908512
74038512
85619512
96802512
107727512
08030494
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
Outputs
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))

eval55.0ms (0.7%)

Memory
-7.2MiB live, 110.5MiB allocated
Compiler

Compiled 8 191 to 899 computations (89% saved)

prune76.0ms (0.9%)

Memory
-0.1MiB live, 77.7MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New4661467
Fresh112
Picked055
Done033
Total46710477
Accuracy
100.0%
Counts
477 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
✓52.0%
(/.f64 x #s(literal 1/6 binary64))
▶52.1%
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
▶52.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
✓99.8%
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓49.6%
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
✓49.6%
(*.f64 (*.f64 x x) #s(literal -9 binary64))
✓49.5%
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
✓49.6%
(*.f64 (*.f64 #s(literal -9 binary64) x) x)
✓52.1%
(*.f64 x #s(literal 6 binary64))
Compiler

Compiled 64 to 47 computations (26.6% saved)

simplify5.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff1088
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(/.f64 #s(literal 1/6 binary64) x)
✓cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
Rules
8×lift-/.f64
8×lower-/.f32
4×lower-*.f64
4×lower-*.f32
4×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01218
11718
21818
01818
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(*.f64 x #s(literal 6 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize73.0ms (0.9%)

Memory
-6.4MiB live, 82.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
✓accuracy99.6%
(/.f64 #s(literal 1/6 binary64) x)
Samples
33.0ms84×5exit
13.0ms172×0valid
Compiler

Compiled 24 to 10 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 17.0ms (52.7% of total)
const: 12.0ms (37.2% of total)
adjust: 3.0ms (9.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))>
#<alt (/.f64 #s(literal 1/6 binary64) x)>
#<alt (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
Outputs
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ 1/6 x)
0.0ms
x
@-inf
(/ 1/6 x)
0.0ms
x
@inf
(/ 1/6 x)
0.0ms
x
@-inf
(/ 1 x)
0.0ms
x
@0
(/ 1 x)

rewrite154.0ms (1.8%)

Memory
12.3MiB live, 125.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 218×lower-*.f64
1 218×lower-*.f32
800×lower-/.f32
792×lower-/.f64
634×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
01212
14512
216112
351812
0312412
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
4 → 543
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 1/6 binary64) x)
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 6 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 6 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1/2 binary64) (neg.f64 (*.f64 (log.f64 (*.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 6 binary64)))
(neg.f64 (*.f64 x #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -6 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 6 binary64) (sqrt.f64 x))))
(/.f64 x #s(literal 1/6 binary64))
(/.f64 x #s(literal -1/6 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 6 binary64)))))
(/.f64 (sqrt.f64 x) (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(/.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(/.f64 (*.f64 #s(literal 6 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 6 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal -6 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -6 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal -6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -6 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 6 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64)))) (*.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -6 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 #s(literal -6 binary64) (*.f64 x x)) x)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 #s(literal 6 binary64) (*.f64 x x)) x)
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6 binary64)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x)
(/.f64 (*.f64 (*.f64 #s(literal 6 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal -6 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x)
(/.f64 (*.f64 (*.f64 #s(literal 6 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal -6 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 6 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 #s(literal -6 binary64) (sqrt.f64 x)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 #s(literal -6 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (sqrt.f64 x)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 #s(literal 6 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 x #s(literal 6 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)))
(*.f64 x #s(literal 6 binary64))
(*.f64 x #s(literal -6 binary64))
(*.f64 x (pow.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (*.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 6 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal -6 binary64) x)
(*.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))) (sqrt.f64 (*.f64 x #s(literal 6 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 6 binary64)))))
(*.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 6 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 6 binary64)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -6 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal -1/6 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 6 binary64)))))
(*.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))))))
(*.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal 6 binary64)))))
(*.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64)))) (sqrt.f64 (*.f64 x #s(literal 6 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 6 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -6 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (pow.f64 #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
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(*.f64 (/.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 0 binary64))
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(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64))
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(fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
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(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
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(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
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(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))

simplify14.0ms (0.2%)

Memory
-25.2MiB live, 17.7MiB allocated
Algorithm
1×egg-herbie
Rules
4×lower-*.f64
4×lower-/.f32
4×lower-/.f64
4×lower-*.f32
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07144
110144
010144
Stop Event
1×iter limit
1×saturated
Counts
48 → 48
Calls
Call 1
Inputs
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

eval229.0ms (2.7%)

Memory
21.8MiB live, 94.7MiB allocated
Compiler

Compiled 6 273 to 927 computations (85.2% saved)

prune249.0ms (3%)

Memory
-3.7MiB live, 115.4MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New5901591
Fresh000
Picked022
Done088
Total59011601
Accuracy
100.0%
Counts
601 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
✓52.0%
(/.f64 x #s(literal 1/6 binary64))
✓52.1%
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓52.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
✓99.8%
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓49.6%
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
✓49.6%
(*.f64 (*.f64 x x) #s(literal -9 binary64))
✓49.5%
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
✓49.6%
(*.f64 (*.f64 #s(literal -9 binary64) x) x)
✓52.1%
(*.f64 x #s(literal 6 binary64))
3.9%
(*.f64 x #s(literal -6 binary64))
Compiler

Compiled 196 to 103 computations (47.4% saved)

regimes12.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -6 binary64))
(*.f64 x #s(literal 6 binary64))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -9 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
(*.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
Outputs
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
Calls

2 calls:

6.0ms
x
6.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes122.0ms (1.5%)

Memory
-27.1MiB live, 11.5MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -6 binary64))
(*.f64 x #s(literal 6 binary64))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -9 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
(*.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
Outputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
Calls

2 calls:

117.0ms
x
4.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal -6 binary64))
(*.f64 x #s(literal 6 binary64))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -9 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal -9 binary64))
Outputs
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(*.f64 x #s(literal 6 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Results
AccuracySegmentsBranch
97.1%3x
97.1%2(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal -6 binary64))
(*.f64 x #s(literal 6 binary64))
Outputs
(*.f64 x #s(literal 6 binary64))
(*.f64 x #s(literal -6 binary64))
Calls

2 calls:

2.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
2.0ms
x
Results
AccuracySegmentsBranch
53.8%2x
52.1%1(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -6 binary64))
Outputs
(*.f64 x #s(literal -6 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Results
AccuracySegmentsBranch
3.9%1(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
3.9%1x
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-77.05650773201214
-1.2597483161076958e-5
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch31.0ms (0.4%)

Memory
-15.0MiB live, 24.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
29.0ms
0.00042043242728648407
156.30066161208143
Samples
24.0ms144×0valid
Compiler

Compiled 103 to 83 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 21.0ms (97.7% of total)
ival-sub: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
8×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02447
13647
24847
35447
45847
55947
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -50 binary64)) (*.f64 #s(literal -9 binary64) (*.f64 x x)) (*.f64 x #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal -6 binary64)))
(*.f64 x #s(literal -6 binary64))
Outputs
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -50 binary64)) (*.f64 #s(literal -9 binary64) (*.f64 x x)) (*.f64 x #s(literal 6 binary64)))
(if (<=.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))) #s(literal -50 binary64)) (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal -6 binary64)))
(*.f64 x #s(literal -6 binary64))

soundness1.1s (13.1%)

Memory
-28.2MiB live, 703.0MiB allocated
Rules
15 340×lower-fma.f64
15 340×lower-fma.f32
13 372×lower-fma.f32
13 370×lower-fma.f64
8 582×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01646
02742
16842
224542
3165242
0839342
0816
01212
14512
216112
351812
0312412
032216
182216
2169216
3406216
41019216
51335216
62557216
75031216
86891216
97986216
08012189
0724
01124
13524
221020
3172820
0954617
074674
1194670
2422664
3860664
41856664
53687664
66315664
08175631
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 100 to 62 computations (38% saved)

preprocess142.0ms (1.7%)

Memory
3.2MiB live, 166.0MiB allocated
Compiler

Compiled 136 to 74 computations (45.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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