Asymptote A

Time bar (total: 8.1s)

analyze5.0ms (0.1%)

Memory
-32.4MiB live, 11.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample934.0ms (11.5%)

Memory
11.7MiB live, 1 634.4MiB allocated
Samples
441.0ms3 854×1valid
218.0ms4 402×0valid
Precisions
Click to see histograms. Total time spent on operations: 482.0ms
ival-div: 181.0ms (37.6% of total)
ival-sub: 122.0ms (25.3% of total)
adjust: 95.0ms (19.7% of total)
ival-add: 69.0ms (14.3% of total)
exact: 7.0ms (1.5% of total)
ival-true: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess29.0ms (0.4%)

Memory
15.2MiB live, 53.5MiB allocated
Algorithm
1×egg-herbie
Rules
160×lower-fma.f64
160×lower-fma.f32
96×lower-*.f64
96×lower-*.f32
72×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
12125
25222
310622
419022
525822
627322
727522
0711
01211
12011
22711
34011
46111
58611
613111
717411
824311
928011
1030011
1130011
030011
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
Symmetry

(abs x)

explain101.0ms (1.2%)

Memory
4.9MiB live, 203.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
691(4.4240922095778046e+161)0-(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
00-0-(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))cancellation700
Confusion
Predicted +Predicted -
+690
-1186
Precision
0.9857142857142858
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6900
-10186
Precision?
0.9857142857142858
Recall?
1.0
Freqs
test
numberfreq
0186
170
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms246×1valid
15.0ms266×0valid
Compiler

Compiled 86 to 32 computations (62.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 10.0ms (35.9% of total)
ival-sub: 8.0ms (28.7% of total)
adjust: 4.0ms (14.4% of total)
ival-add: 4.0ms (14.4% of total)
ival-true: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.8%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify16.0ms (0.2%)

Memory
-11.2MiB live, 30.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Rules
160×lower-fma.f64
160×lower-fma.f32
96×lower-*.f64
96×lower-*.f32
72×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
01229
12029
22729
34029
46129
58629
613129
717429
824329
928029
1030029
1130029
030029
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))

localize32.0ms (0.4%)

Memory
23.7MiB live, 62.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓accuracy77.8%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Samples
15.0ms123×1valid
7.0ms133×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 6.0ms (40.9% of total)
ival-sub: 3.0ms (20.5% of total)
adjust: 2.0ms (13.6% of total)
ival-add: 2.0ms (13.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))>
#<alt (-.f64 x #s(literal 1 binary64))>
Outputs
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
Calls

15 calls:

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

rewrite468.0ms (5.8%)

Memory
-27.5MiB live, 532.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 498×lower-fma.f64
10 498×lower-fma.f32
3 964×lower-*.f64
3 964×lower-*.f32
3 924×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
01227
16627
264427
0903925
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 861
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))))
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(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 x (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))

simplify266.0ms (3.3%)

Memory
21.0MiB live, 415.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 500×lower-fma.f64
9 500×lower-fma.f32
3 716×lower-*.f64
3 716×lower-*.f32
1 644×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083435
1228425
2582404
31801384
45083380
08104371
Stop Event
1×iter limit
1×node limit
Counts
60 → 56
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(-.f64 #s(literal -1 binary64) (fma.f64 x x x))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))

eval402.0ms (4.9%)

Memory
-162.1MiB live, 189.0MiB allocated
Compiler

Compiled 26 277 to 2 548 computations (90.3% saved)

prune116.0ms (1.4%)

Memory
-16.1MiB live, 231.0MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New9107917
Fresh000
Picked101
Done000
Total9117918
Accuracy
99.5%
Counts
918 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.8%
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
▶46.8%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
▶78.6%
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶52.7%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
47.5%
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶46.9%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶47.2%
#s(literal 2 binary64)
Compiler

Compiled 116 to 68 computations (41.4% saved)

simplify476.0ms (5.9%)

Memory
37.0MiB live, 423.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓cost-diff0
(*.f64 x x)
✓cost-diff128
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(-.f64 #s(literal -1 binary64) x)
✓cost-diff0
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓cost-diff576
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
Rules
17 120×lower-fma.f32
17 116×lower-fma.f64
3 278×lower-*.f32
3 276×lower-*.f64
1 708×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01670
02876
15276
210758
323958
440358
5126758
6458458
7650258
8758058
9794758
0804058
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
Outputs
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
#s(literal -2 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(fma.f64 x x #s(literal -1 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x (+.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) x)
x

localize86.0ms (1.1%)

Memory
13.7MiB live, 92.9MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(-.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.4%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy99.5%
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓accuracy51.2%
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
Samples
27.0ms125×1valid
20.0ms131×0valid
Compiler

Compiled 72 to 19 computations (73.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-add: 7.0ms (25.2% of total)
ival-div: 6.0ms (21.6% of total)
ival-sub: 5.0ms (18% of total)
adjust: 5.0ms (18% of total)
ival-mult: 4.0ms (14.4% of total)
exact: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-32.7MiB live, 6.4MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))>
#<alt (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))>
#<alt (-.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal -2 binary64) (*.f64 x x))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))>
#<alt (-.f64 x #s(literal 1 binary64))>
Outputs
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (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 (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 x)))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1 x)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))) (/ 1 x))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
Calls

30 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
(/ (+ (- -1 x) (+ x -1)) (+ (* x x) -1))
0.0ms
x
@inf
(+ (* 2 (* x x)) 2)
0.0ms
x
@0
(/ (+ (- -1 x) (+ x -1)) (+ (* x x) -1))
0.0ms
x
@0
(/ -2 (* x x))
0.0ms
x
@inf
(/ -2 (* x x))

rewrite348.0ms (4.3%)

Memory
28.5MiB live, 305.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 842×lower-/.f32
3 836×lower-/.f64
3 290×lower-*.f32
3 288×lower-*.f64
1 878×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01654
02854
115054
2137754
0903354
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 570
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x))))
(+.f64 #s(literal -1 binary64) (+.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) x)))
(+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))
(+.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))
(+.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal -1 binary64) x)))
(-.f64 x (-.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (+.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (+.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))))
(-.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x)) (-.f64 x (+.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal -1 binary64) x)))))) (/.f64 (*.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x)) (-.f64 x (+.f64 #s(literal -1 binary64) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x)) (-.f64 x (+.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal -1 binary64) x)))))))
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.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) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))

simplify348.0ms (4.3%)

Memory
9.8MiB live, 429.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 444×lower-fma.f64
10 444×lower-fma.f32
3 308×lower-*.f64
3 308×lower-*.f32
1 672×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075636
1204628
2547602
31570588
44496580
08194561
Stop Event
1×iter limit
1×node limit
Counts
120 → 116
Calls
Call 1
Inputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (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)
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
2
(+ 2 x)
(+ 2 (* x (+ 1 x)))
(+ 2 (* x (+ 1 (* x (+ 1 x)))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))
(- (+ 1 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))) (/ 1 x))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(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)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 x)))
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
(+ 2 (* x (+ 1 (* x (+ 1 x)))))
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))) (/ 1 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))

eval132.0ms (1.6%)

Memory
-14.3MiB live, 151.9MiB allocated
Compiler

Compiled 17 760 to 2 037 computations (88.5% saved)

prune109.0ms (1.3%)

Memory
2.7MiB live, 164.6MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New7017708
Fresh202
Picked235
Done000
Total70510715
Accuracy
100.0%
Counts
715 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓46.8%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
53.2%
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
▶99.5%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓52.7%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
▶1.9%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
46.3%
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
▶46.3%
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
▶46.5%
(+.f64 #s(literal 2 binary64) x)
✓47.2%
#s(literal 2 binary64)
▶10.2%
#s(literal 1 binary64)
Compiler

Compiled 99 to 64 computations (35.4% saved)

simplify481.0ms (5.9%)

Memory
21.3MiB live, 414.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(fma.f64 x x x)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
✓cost-diff0
(+.f64 #s(literal 2 binary64) x)
✓cost-diff0
(fma.f64 x x #s(literal -1 binary64))
✓cost-diff0
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
Rules
16 208×lower-fma.f32
16 204×lower-fma.f64
2 964×lower-+.f32
2 960×lower-+.f64
2 538×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241
02041
13441
25241
38141
411341
519841
645241
7105141
8284641
9465341
10596241
11669041
12704341
13737141
14757641
15781241
0800741
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
#s(literal 2 binary64)
(fma.f64 x x x)
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x
Outputs
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 2 binary64) x)
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
(+.f64 x (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x x x)
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x

localize35.0ms (0.4%)

Memory
0.9MiB live, 39.3MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(fma.f64 x x x)
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(fma.f64 x x #s(literal -1 binary64))
✓accuracy99.5%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
Samples
21.0ms256×0valid
Compiler

Compiled 43 to 15 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 4.0ms (31.9% of total)
ival-div: 3.0ms (23.9% of total)
ival-mult: 3.0ms (23.9% of total)
ival-sub: 1.0ms (8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt (+.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 #s(literal 2 binary64) (fma.f64 x x x))>
#<alt (fma.f64 x x x)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
Outputs
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 x)))>
#<alt (+ 2 (* x (+ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 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)>
#<alt (/ 1 x)>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ 1 x)
0.0ms
x
@-inf
(- 1 (/ 1 x))
0.0ms
x
@inf
(+ 2 (+ (* x x) x))
0.0ms
x
@0
(/ 1 x)
0.0ms
x
@-inf
(+ 2 (+ (* x x) x))

rewrite371.0ms (4.6%)

Memory
2.7MiB live, 395.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 786×lower-fma.f32
6 782×lower-fma.f64
4 800×lower-*.f64
4 800×lower-*.f32
4 392×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231
02031
110531
278031
0856231
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 461
Calls
Call 1
Inputs
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(+.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
(fma.f64 x x x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))))
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 x (*.f64 x (*.f64 x x))))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (fma.f64 x x x) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(+.f64 (fma.f64 x x x) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 (-.f64 (*.f64 x x) x) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 x x) x))
(+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))
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(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (neg.f64 (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))

simplify447.0ms (5.5%)

Memory
21.6MiB live, 691.0MiB allocated
Algorithm
1×egg-herbie
Rules
22 944×lower-fma.f64
22 944×lower-fma.f32
3 500×lower-*.f64
3 500×lower-*.f32
2 098×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047484
1130484
2341426
31125418
43893418
57539418
08043387
Stop Event
1×iter limit
1×node limit
Counts
84 → 81
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
2
(+ 2 x)
(+ 2 (* x (+ 1 x)))
(+ 2 (* x (+ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -1 x)
(/ (- x 1) x)
(/ (- x 1) x)
(/ (- x 1) x)
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 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
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 x)))
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
(+ 2 (* x (+ 1 x)))
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.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)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

eval71.0ms (0.9%)

Memory
-3.0MiB live, 124.4MiB allocated
Compiler

Compiled 10 402 to 1 302 computations (87.5% saved)

prune67.0ms (0.8%)

Memory
-10.4MiB live, 148.5MiB allocated
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New5384542
Fresh022
Picked145
Done033
Total53913552
Accuracy
100.0%
Counts
552 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓46.8%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
▶53.2%
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
▶4.3%
(/.f64 #s(literal -1 binary64) x)
✓99.5%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓52.7%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
▶46.3%
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
✓46.3%
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
▶46.7%
(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓46.5%
(+.f64 #s(literal 2 binary64) x)
45.8%
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))
▶60.6%
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
✓47.2%
#s(literal 2 binary64)
✓10.2%
#s(literal 1 binary64)
Compiler

Compiled 167 to 98 computations (41.3% saved)

simplify423.0ms (5.2%)

Memory
-26.9MiB live, 535.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -2 binary64) x)
✓cost-diff384
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓cost-diff0
(fma.f64 x x x)
✓cost-diff0
(fma.f64 x (fma.f64 x x x) x)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
✓cost-diff0
(/.f64 #s(literal -1 binary64) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff128
(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
✓cost-diff0
(/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
✓cost-diff1344
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
Rules
15 522×lower-fma.f32
15 514×lower-fma.f64
3 366×lower--.f64
3 366×lower--.f32
3 324×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01896
03388
16385
210985
320380
437980
5109380
6312880
7413280
8523880
0830278
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
#s(literal -2 binary64)
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 x x x) x)
x
(fma.f64 x x x)
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
Outputs
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
#s(literal -2 binary64)
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 x (fma.f64 x x x) (+.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (fma.f64 x x x) x)
x
(fma.f64 x x x)
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x

localize57.0ms (0.7%)

Memory
11.9MiB live, 91.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) x)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓accuracy100.0%
(fma.f64 x x x)
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
✓accuracy100.0%
(fma.f64 x (fma.f64 x x x) x)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
✓accuracy99.9%
(/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy61.0%
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
Samples
32.0ms256×0valid
Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 7.0ms (33.1% of total)
ival-mult: 7.0ms (33.1% of total)
ival-add: 6.0ms (28.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))>
#<alt (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))>
#<alt (fma.f64 x (fma.f64 x x x) x)>
#<alt (fma.f64 x x x)>
#<alt (/.f64 (/.f64 #s(literal -2 binary64) x) x)>
#<alt (/.f64 #s(literal -2 binary64) x)>
Outputs
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 4)))>
#<alt (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))>
#<alt (+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))))>
#<alt (/ -2 (pow x 4))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))>
#<alt -1>
#<alt (- (pow x 4) 1)>
#<alt (- (pow x 4) 1)>
#<alt (- (pow x 4) 1)>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (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 (/ -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)>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 x)))>
#<alt (+ 2 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1)))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 (* x (+ 1 x))))>
#<alt (* x (+ 1 (* x (+ 1 x))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
Calls

36 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ -2 (+ (* x (* x (* x x))) -1))
0.0ms
x
@-inf
(* x (* x x))
0.0ms
x
@0
(/ -2 (+ (* x (* x (* x x))) -1))
0.0ms
x
@0
(* x (* x x))
0.0ms
x
@-inf
(+ 2 (+ (* x (+ (* x x) x)) x))

rewrite334.0ms (4.1%)

Memory
-8.4MiB live, 624.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 152×lower-fma.f32
9 144×lower-fma.f64
3 946×lower-/.f32
3 938×lower-/.f64
3 766×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01877
03369
115666
2111763
0840361
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 642
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(*.f64 x (*.f64 x x))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 x (fma.f64 x x x) x)
(fma.f64 x x x)
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) x)
Outputs
(+.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 x (/.f64 x (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) x) x (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x (*.f64 x x))))))
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(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (fma.f64 x x (*.f64 x (*.f64 x (-.f64 (*.f64 x x) x)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (*.f64 x x) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (neg.f64 (fma.f64 x x (*.f64 x (*.f64 x (-.f64 (*.f64 x x) x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (neg.f64 x) x))
(/.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 x x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (fma.f64 x (neg.f64 x) x)))
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 x (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x))))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 x (*.f64 x (-.f64 (*.f64 x x) x))))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x)))))))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)))
(*.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(neg.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 x))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))

simplify267.0ms (3.3%)

Memory
42.7MiB live, 474.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 776×lower-fma.f64
10 776×lower-fma.f32
3 272×lower-*.f64
3 272×lower-*.f32
2 064×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089894
1253894
2745810
32641794
46940794
08048740
Stop Event
1×iter limit
1×node limit
Counts
144 → 142
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
2
(+ 2 (* 2 (pow x 4)))
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))))
(/ -2 (pow x 4))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
(/ -2 (pow x 4))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
-1
(- (pow x 4) 1)
(- (pow x 4) 1)
(- (pow x 4) 1)
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (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)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
2
(+ 2 x)
(+ 2 (* x (+ 1 x)))
(+ 2 (* x (+ 1 (* x (+ 1 x)))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1)))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 x))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 4)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2 binary64))
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
-1
#s(literal -1 binary64)
(- (pow x 4) 1)
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(- (pow x 4) 1)
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(- (pow x 4) 1)
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(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)
(/ -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)
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 x)))
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
(+ 2 (* x (+ 1 (* x (+ 1 x)))))
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(fma.f64 x (fma.f64 x x x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1)))
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 x (fma.f64 x x x) x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 x (fma.f64 x x x) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x x x) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(fma.f64 x (fma.f64 x x x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(fma.f64 x (fma.f64 x x x) x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)

eval100.0ms (1.2%)

Memory
-34.0MiB live, 192.9MiB allocated
Compiler

Compiled 20 059 to 1 790 computations (91.1% saved)

prune149.0ms (1.8%)

Memory
-13.5MiB live, 185.9MiB allocated
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New8013804
Fresh011
Picked325
Done077
Total80413817
Accuracy
100.0%
Counts
817 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.3%
(fma.f64 (fma.f64 x x x) x (+.f64 x #s(literal 2 binary64)))
46.7%
(fma.f64 x x #s(literal 2 binary64))
✓46.8%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
✓53.2%
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓4.3%
(/.f64 #s(literal -1 binary64) x)
✓99.5%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓52.7%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓46.3%
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
✓46.5%
(+.f64 #s(literal 2 binary64) x)
45.8%
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))
14.3%
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))
✓47.2%
#s(literal 2 binary64)
✓10.2%
#s(literal 1 binary64)
Compiler

Compiled 270 to 111 computations (58.9% saved)

regimes14.0ms (0.2%)

Memory
23.6MiB live, 23.6MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) x)
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
(/.f64 #s(literal -1 binary64) x)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 (fma.f64 x x x) x (+.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))
Outputs
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
Calls

2 calls:

7.0ms
x
6.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes11.0ms (0.1%)

Memory
-12.0MiB live, 23.8MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) x)
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
(/.f64 #s(literal -1 binary64) x)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 (fma.f64 x x x) x (+.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
Calls

2 calls:

4.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.3%2x
98.3%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes9.0ms (0.1%)

Memory
-18.3MiB live, 19.0MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) x)
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
(/.f64 #s(literal -1 binary64) x)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x))
(fma.f64 (fma.f64 x x x) x (+.f64 x #s(literal 2 binary64)))
Outputs
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) x)
Calls

2 calls:

5.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
4.0ms
x
Results
AccuracySegmentsBranch
49.8%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
49.8%2x
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) x)
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
(/.f64 #s(literal -1 binary64) x)
Outputs
(/.f64 #s(literal -1 binary64) x)
(fma.f64 x x #s(literal 2 binary64))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
49.6%2x
49.6%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes5.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) x)
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 #s(literal 2 binary64) (fma.f64 x x x))
Outputs
#s(literal 2 binary64)
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
47.2%1x
47.2%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
10.2%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
10.2%1x
Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch14.0ms (0.2%)

Memory
-24.9MiB live, 20.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.5950703542324691
790.9571814512914
Samples
8.0ms128×0valid
Compiler

Compiled 135 to 91 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 4.0ms (69.1% of total)
ival-sub: 1.0ms (17.3% of total)
ival-add: 1.0ms (17.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.5950703542324691
790.9571814512914
Compiler

Compiled 119 to 83 computations (30.3% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify7.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Algorithm
1×egg-herbie
Rules
16×+-commutative_binary64
14×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
8×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02357
13057
23957
35557
46457
56857
67057
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(literal 1 binary64)

soundness1.3s (16.2%)

Memory
-6.3MiB live, 877.4MiB allocated
Rules
22 944×lower-fma.f64
22 944×lower-fma.f32
10 498×lower-fma.f64
10 498×lower-fma.f32
10 444×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
01227
16627
264427
0903925
01877
03369
115666
2111763
0840361
083435
1228425
2582404
31801384
45083380
08104371
075636
1204628
2547602
31570588
44496580
08194561
047484
1130484
2341426
31125418
43893418
57539418
08043387
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 160 to 90 computations (43.8% saved)

preprocess40.0ms (0.5%)

Memory
18.7MiB live, 98.4MiB allocated
Remove

(abs x)

Compiler

Compiled 154 to 70 computations (54.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...