b parameter of renormalized beta distribution

Time bar (total: 7.2s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%12.5%87.5%0%0%0%0
100%12.5%0%87.5%0%0%0%1
Compiler

Compiled 26 to 15 computations (42.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)

sample1.1s (14.5%)

Results
724.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 429.0ms
ival-mult: 139.0ms (32.4% of total)
ival-sub: 101.0ms (23.5% of total)
ival-<: 81.0ms (18.9% of total)
ival-div: 65.0ms (15.1% of total)
ival-and: 26.0ms (6.1% of total)
const: 15.0ms (3.5% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess199.0ms (2.7%)

Algorithm
egg-herbie
Rules
1990×sum3-define
1750×+-lowering-+.f64
1750×+-lowering-+.f32
1318×*-lowering-*.f32
1318×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02588
17175
224772
3104968
4585768
0813
11912
24812
313011
477311
5291111
6773811
0821811
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
Outputs
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)))
Call 2
Inputs
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
(* (- (/ (* (neg m) (- 1 (neg m))) v) 1) (- 1 (neg m)))
(* (- (/ (* m (- 1 m)) (neg v)) 1) (- 1 m))
(neg (* (- (/ (* (neg m) (- 1 (neg m))) v) 1) (- 1 (neg m))))
(neg (* (- (/ (* m (- 1 m)) (neg v)) 1) (- 1 m)))
(* (- (/ (* v (- 1 v)) m) 1) (- 1 v))
Outputs
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
(fmsub (square (- 1 m)) (/ m v) (- 1 m))
(* (- (/ (* (neg m) (- 1 (neg m))) v) 1) (- 1 (neg m)))
(* (+ m 1) (fnmsub m (/ (+ m 1) v) 1))
(* (- (/ (* m (- 1 m)) (neg v)) 1) (- 1 m))
(+ m (fnmadd (square (- 1 m)) (/ m v) -1))
(neg (* (- (/ (* (neg m) (- 1 (neg m))) v) 1) (- 1 (neg m))))
(* (+ m 1) (fnmsub (- -1 m) (/ m v) -1))
(neg (* (- (/ (* m (- 1 m)) (neg v)) 1) (- 1 m)))
(fma m (/ (square (- 1 m)) v) (- 1 m))
(* (- (/ (* v (- 1 v)) m) 1) (- 1 v))
(fma (square (- 1 v)) (/ v m) (+ v -1))

explain94.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
00-0-(*.f64 m (-.f64 #s(literal 1 binary64) m))
00-0-m
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) m)
00-0-(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
00-0-v
00-0-(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
Results
60.0ms512×0valid
Compiler

Compiled 101 to 26 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sub: 9.0ms (35.3% of total)
ival-div: 8.0ms (31.4% of total)
ival-mult: 7.0ms (27.4% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 9 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify133.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 m (-.f64 #s(literal 1 binary64) m))
cost-diff0
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
cost-diff0
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Rules
1990×sum3-define
1750×+-lowering-+.f64
1750×+-lowering-+.f32
1318×*-lowering-*.f32
1318×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0840
11938
24838
313035
477335
5291135
6773835
0821835
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
(- (/ (* m (- 1 m)) v) 1)
(/ (* m (- 1 m)) v)
(* m (- 1 m))
m
(- 1 m)
1
v
Outputs
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)))
(- (/ (* m (- 1 m)) v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v))
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)
(* m (- 1 m))
(*.f64 (-.f64 #s(literal 1 binary64) m) m)
m
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
1
#s(literal 1 binary64)
v

localize51.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) m)
accuracy100.0%
(*.f64 m (-.f64 #s(literal 1 binary64) m))
accuracy100.0%
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
accuracy100.0%
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Results
34.0ms256×0valid
Compiler

Compiled 43 to 9 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (33.2% of total)
ival-mult: 3.0ms (33.2% of total)
ival-div: 2.0ms (22.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m))>
#<alt (- (/ (* m (- 1 m)) v) 1)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (* m (- 1 m))>
#<alt (- 1 m)>
Outputs
#<alt -1>
#<alt (- (* m (+ 1 (/ 1 v))) 1)>
#<alt (- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)>
#<alt (- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)>
#<alt (/ (pow m 3) v)>
#<alt (* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))>
#<alt (* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))>
#<alt (/ (pow m 3) v)>
#<alt (* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))>
#<alt (* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))>
#<alt (* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)>
#<alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)>
#<alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)>
#<alt (* -1 (- 1 m))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))>
#<alt (* -1 (- 1 m))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))>
#<alt -1>
#<alt (- (/ m v) 1)>
#<alt (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)>
#<alt (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))>
#<alt (* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (+ (* -1 v) (* m (- 1 m))) v)>
#<alt (/ (+ (* -1 v) (* m (- 1 m))) v)>
#<alt (/ (+ (* -1 v) (* m (- 1 m))) v)>
#<alt -1>
#<alt (- (/ (* m (- 1 m)) v) 1)>
#<alt (- (/ (* m (- 1 m)) v) 1)>
#<alt (- (/ (* m (- 1 m)) v) 1)>
#<alt -1>
#<alt (- (/ (* m (- 1 m)) v) 1)>
#<alt (- (/ (* m (- 1 m)) v) 1)>
#<alt (- (/ (* m (- 1 m)) v) 1)>
#<alt (/ m v)>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt m>
#<alt (* m (+ 1 (* -1 m)))>
#<alt (* m (+ 1 (* -1 m)))>
#<alt (* m (+ 1 (* -1 m)))>
#<alt (* -1 (pow m 2))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* -1 (pow m 2))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt 1>
#<alt (+ 1 (* -1 m))>
#<alt (+ 1 (* -1 m))>
#<alt (+ 1 (* -1 m))>
#<alt (* -1 m)>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* -1 m)>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
v
@inf
(/ (* m (- 1 m)) v)
1.0ms
v
@0
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
1.0ms
m
@-inf
(- (/ (* m (- 1 m)) v) 1)
1.0ms
v
@inf
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
0.0ms
m
@inf
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

rewrite461.0ms (6.4%)

Algorithm
batch-egg-rewrite
Rules
3440×*-lowering-*.f32
3440×*-lowering-*.f64
2524×/-lowering-/.f32
2524×/-lowering-/.f64
1166×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0837
14935
244735
3662333
0809833
Stop Event
iter limit
node limit
Counts
5 → 305
Calls
Call 1
Inputs
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
(- (/ (* m (- 1 m)) v) 1)
(/ (* m (- 1 m)) v)
(* m (- 1 m))
(- 1 m)
Outputs
(+.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)))
(+.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)))
(-.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (*.f64 m (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64))))
(-.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) m))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (-.f64 #s(literal 1 binary64) m))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)))
(fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)))
(fma.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)))
(fma.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (+.f64 (/.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))))) (+.f64 m #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 m m)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))))) (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)) (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 m #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 m m)))))
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (+.f64 (/.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))))))
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)) #s(literal -1 binary64)) (/.f64 m v))
(*.f64 (pow.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) #s(literal -1/2 binary64)))
(+.f64 m (-.f64 #s(literal 0 binary64) (*.f64 m m)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) m)
(-.f64 m (*.f64 m m))
(-.f64 #s(literal 0 binary64) (*.f64 m (-.f64 m #s(literal 1 binary64))))
(fma.f64 m #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 m m)))
(fma.f64 #s(literal 1 binary64) m (-.f64 #s(literal 0 binary64) (*.f64 m m)))
(neg.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))))
(/.f64 m (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 m #s(literal 1 binary64)) (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (+.f64 m #s(literal 1 binary64)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m)))) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 m (*.f64 m m)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) #s(literal 3 binary64))) (+.f64 (*.f64 m m) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) (-.f64 #s(literal 0 binary64) (*.f64 m m))) (-.f64 #s(literal 0 binary64) (*.f64 m (*.f64 m m))))))
(/.f64 (-.f64 (*.f64 m m) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) (-.f64 #s(literal 0 binary64) (*.f64 m m)))) (*.f64 m (+.f64 m #s(literal 1 binary64))))
(/.f64 (*.f64 m (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(/.f64 (*.f64 m (+.f64 #s(literal -1 binary64) (*.f64 m m))) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) m) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m)) m) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 m (-.f64 #s(literal 1 binary64) m)))
(*.f64 (-.f64 #s(literal 1 binary64) m) m)
(*.f64 (-.f64 #s(literal 1 binary64) m) (neg.f64 (-.f64 #s(literal 0 binary64) m)))
(*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) m))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (/.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) m) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)))
(*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 m #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) m))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (/.f64 m (+.f64 m #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 0 binary64) m))
(*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))))
(*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) m)) (-.f64 #s(literal 1 binary64) m))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) m)
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (-.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (+.f64 #s(literal 1 binary64) (*.f64 m (-.f64 m #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (*.f64 m (+.f64 m #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (-.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (*.f64 m (+.f64 m #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) m))
(+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (neg.f64 (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 m m) (+.f64 m #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) m)
(-.f64 #s(literal 0 binary64) (-.f64 m #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) (/.f64 (*.f64 m m) (+.f64 m #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) m #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (+.f64 m #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m)) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) (*.f64 (*.f64 m (*.f64 m m)) (*.f64 m (*.f64 m m))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) (*.f64 m (*.f64 m m)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) (*.f64 m (*.f64 m m)))) (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) (*.f64 m m))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m (*.f64 m m)))) (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 m m))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (*.f64 m (*.f64 m m)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) (*.f64 (+.f64 m #s(literal 1 binary64)) (*.f64 m m))) (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 m m) (+.f64 m #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 (*.f64 m m) (+.f64 m #s(literal 1 binary64))) (/.f64 (*.f64 m m) (+.f64 m #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) (/.f64 (*.f64 m m) (+.f64 m #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 m m) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) m) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))) (*.f64 (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 m m) (+.f64 m #s(literal 1 binary64))) (/.f64 (*.f64 m m) (+.f64 m #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) (/.f64 (*.f64 m m) (+.f64 m #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) (*.f64 (*.f64 m (*.f64 m m)) (*.f64 m (*.f64 m m))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) (*.f64 m (*.f64 m m)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) (*.f64 m (*.f64 m m)))) (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) (*.f64 m m)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m (*.f64 m m)))) (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 m m)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 m m)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (-.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (*.f64 m (+.f64 m #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (-.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (*.f64 m (+.f64 m #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (+.f64 #s(literal 1 binary64) (*.f64 m (-.f64 m #s(literal 1 binary64)))))

simplify227.0ms (3.1%)

Algorithm
egg-herbie
Rules
3352×*-lowering-*.f32
3352×*-lowering-*.f64
1724×fnmadd-define
1548×+-lowering-+.f64
1548×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0107878
1333791
21006664
33739656
08186656
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(/ (* m (pow (- 1 m) 2)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
-1
(- (/ m v) 1)
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(/ (* m (- 1 m)) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
-1
(- (/ (* m (- 1 m)) v) 1)
(- (/ (* m (- 1 m)) v) 1)
(- (/ (* m (- 1 m)) v) 1)
-1
(- (/ (* m (- 1 m)) v) 1)
(- (/ (* m (- 1 m)) v) 1)
(- (/ (* m (- 1 m)) v) 1)
(/ m v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
m
(* m (+ 1 (* -1 m)))
(* m (+ 1 (* -1 m)))
(* m (+ 1 (* -1 m)))
(* -1 (pow m 2))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
(* -1 (pow m 2))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
1
(+ 1 (* -1 m))
(+ 1 (* -1 m))
(+ 1 (* -1 m))
(* -1 m)
(* m (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* -1 m)
(* -1 (* m (- 1 (/ 1 m))))
(* -1 (* m (- 1 (/ 1 m))))
(* -1 (* m (- 1 (/ 1 m))))
Outputs
-1
#s(literal -1 binary64)
(- (* m (+ 1 (/ 1 v))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (/.f64 #s(literal -2 binary64) v))))))
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal -2 binary64) m)))))))
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -2 binary64) (*.f64 m v))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -2 binary64) (*.f64 m v))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) m) (/.f64 #s(literal 1 binary64) (*.f64 m m)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) m)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 m v)) (/.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))))))
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -2 binary64) (*.f64 m v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (*.f64 m (*.f64 m m)) (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) v) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v)) m)) m)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 m (*.f64 (*.f64 m m) (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) v) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) m) (/.f64 #s(literal -1 binary64) v))) m)) m))))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 (/.f64 m v) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)) v)
(* -1 (- 1 m))
(+.f64 #s(literal -1 binary64) m)
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 (*.f64 (/.f64 m v) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) (+.f64 #s(literal -1 binary64) m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 (*.f64 (/.f64 m v) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) (+.f64 #s(literal -1 binary64) m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 (*.f64 (/.f64 m v) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) (+.f64 #s(literal -1 binary64) m))
(* -1 (- 1 m))
(+.f64 #s(literal -1 binary64) m)
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 (*.f64 (/.f64 m v) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) (+.f64 #s(literal -1 binary64) m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 (*.f64 (/.f64 m v) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) (+.f64 #s(literal -1 binary64) m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 (*.f64 (/.f64 m v) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) (+.f64 #s(literal -1 binary64) m))
-1
#s(literal -1 binary64)
(- (/ m v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))
(* -1 (/ (pow m 2) v))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(-.f64 (*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -1 binary64) m))) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(-.f64 (*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -1 binary64) m))) (/.f64 (*.f64 m m) v))
(* -1 (/ (pow m 2) v))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(-.f64 (*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -1 binary64) m))) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(-.f64 (*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -1 binary64) m))) (/.f64 (*.f64 m m) v))
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(/.f64 (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(/.f64 (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(/.f64 (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) v)
-1
#s(literal -1 binary64)
(- (/ (* m (- 1 m)) v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))
(- (/ (* m (- 1 m)) v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))
(- (/ (* m (- 1 m)) v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))
-1
#s(literal -1 binary64)
(- (/ (* m (- 1 m)) v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))
(- (/ (* m (- 1 m)) v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))
(- (/ (* m (- 1 m)) v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))
(/ m v)
(/.f64 m v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* -1 (/ (pow m 2) v))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* -1 (/ (pow m 2) v))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
m
(* m (+ 1 (* -1 m)))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* m (+ 1 (* -1 m)))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* m (+ 1 (* -1 m)))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
1
#s(literal 1 binary64)
(+ 1 (* -1 m))
(-.f64 #s(literal 1 binary64) m)
(+ 1 (* -1 m))
(-.f64 #s(literal 1 binary64) m)
(+ 1 (* -1 m))
(-.f64 #s(literal 1 binary64) m)
(* -1 m)
(-.f64 #s(literal 0 binary64) m)
(* m (- (/ 1 m) 1))
(-.f64 #s(literal 1 binary64) m)
(* m (- (/ 1 m) 1))
(-.f64 #s(literal 1 binary64) m)
(* m (- (/ 1 m) 1))
(-.f64 #s(literal 1 binary64) m)
(* -1 m)
(-.f64 #s(literal 0 binary64) m)
(* -1 (* m (- 1 (/ 1 m))))
(-.f64 #s(literal 1 binary64) m)
(* -1 (* m (- 1 (/ 1 m))))
(-.f64 #s(literal 1 binary64) m)
(* -1 (* m (- 1 (/ 1 m))))
(-.f64 #s(literal 1 binary64) m)

eval54.0ms (0.7%)

Compiler

Compiled 14267 to 1314 computations (90.8% saved)

prune57.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New44912461
Fresh000
Picked101
Done000
Total45012462
Accuracy
100.0%
Counts
462 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)))
99.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)) v)
97.9%
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (+.f64 m #s(literal 1 binary64)))
48.1%
(/.f64 (*.f64 m (*.f64 m m)) v)
77.7%
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
27.2%
(+.f64 #s(literal -1 binary64) m)
73.6%
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
73.6%
(*.f64 (/.f64 m v) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))
99.9%
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
51.4%
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
99.9%
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
24.9%
#s(literal -1 binary64)
Compiler

Compiled 292 to 172 computations (41.1% saved)

simplify180.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) m)
cost-diff0
(*.f64 m (-.f64 #s(literal 1 binary64) m))
cost-diff0
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
cost-diff0
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
cost-diff0
(-.f64 #s(literal 1 binary64) m)
cost-diff0
(/.f64 m v)
cost-diff0
(-.f64 (/.f64 m v) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
cost-diff0
(/.f64 m v)
cost-diff0
(+.f64 m (/.f64 m v))
cost-diff0
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
cost-diff0
(/.f64 v (-.f64 #s(literal 1 binary64) m))
cost-diff0
(/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m)))
cost-diff0
(-.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Rules
1996×*-lowering-*.f32
1996×*-lowering-*.f64
1856×fma-define
1596×--lowering--.f32
1596×--lowering--.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017111
137108
2112105
3393101
41513101
55920101
08386101
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
(- (/ m (/ v (- 1 m))) 1)
(/ m (/ v (- 1 m)))
m
(/ v (- 1 m))
v
(- 1 m)
1
-1
(+ -1 (+ m (/ m v)))
-1
(+ m (/ m v))
m
(/ m v)
v
(* (- (/ m v) 1) (- 1 m))
(- (/ m v) 1)
(/ m v)
m
v
1
(- 1 m)
(* (/ (* m (- 1 m)) v) (- 1 m))
(/ (* m (- 1 m)) v)
(* m (- 1 m))
m
(- 1 m)
1
v
Outputs
(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m)))))
(- (/ m (/ v (- 1 m))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))
(/ m (/ v (- 1 m)))
(/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m)))
m
(/ v (- 1 m))
(/.f64 v (-.f64 #s(literal 1 binary64) m))
v
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
(+ -1 (+ m (/ m v)))
(+.f64 m (+.f64 #s(literal -1 binary64) (/.f64 m v)))
-1
#s(literal -1 binary64)
(+ m (/ m v))
(+.f64 m (/.f64 m v))
m
(/ m v)
(/.f64 m v)
v
(* (- (/ m v) 1) (- 1 m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 m v)))
(- (/ m v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(/ m v)
(/.f64 m v)
m
v
1
#s(literal 1 binary64)
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
(* (/ (* m (- 1 m)) v) (- 1 m))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (-.f64 #s(literal 1 binary64) m)))
(/ (* m (- 1 m)) v)
(/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m)))
(* m (- 1 m))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
m
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
1
#s(literal 1 binary64)
v

localize118.0ms (1.6%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) m)
accuracy100.0%
(*.f64 m (-.f64 #s(literal 1 binary64) m))
accuracy100.0%
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
accuracy100.0%
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
accuracy100.0%
(/.f64 m v)
accuracy100.0%
(-.f64 (/.f64 m v) #s(literal 1 binary64))
accuracy100.0%
(-.f64 #s(literal 1 binary64) m)
accuracy99.9%
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
accuracy100.0%
(/.f64 m v)
accuracy100.0%
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
accuracy100.0%
(+.f64 m (/.f64 m v))
accuracy100.0%
(-.f64 #s(literal 1 binary64) m)
accuracy100.0%
(/.f64 v (-.f64 #s(literal 1 binary64) m))
accuracy100.0%
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
accuracy99.9%
(/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m)))
Results
94.0ms256×0valid
Compiler

Compiled 114 to 18 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sub: 14.0ms (40.9% of total)
ival-div: 7.0ms (20.4% of total)
ival-add: 6.0ms (17.5% of total)
ival-mult: 6.0ms (17.5% of total)
const: 1.0ms (2.9% of total)
backward-pass: 0.0ms (0% of total)

series16.0ms (0.2%)

Counts
13 → 288
Calls
Call 1
Inputs
#<alt (* (- (/ m (/ v (- 1 m))) 1) (- 1 m))>
#<alt (- (/ m (/ v (- 1 m))) 1)>
#<alt (/ m (/ v (- 1 m)))>
#<alt (/ v (- 1 m))>
#<alt (+ -1 (+ m (/ m v)))>
#<alt (+ m (/ m v))>
#<alt (/ m v)>
#<alt (* (- (/ m v) 1) (- 1 m))>
#<alt (- (/ m v) 1)>
#<alt (- 1 m)>
#<alt (* (/ (* m (- 1 m)) v) (- 1 m))>
#<alt (/ (* m (- 1 m)) v)>
#<alt (* m (- 1 m))>
Outputs
#<alt -1>
#<alt (- (* m (+ 1 (/ 1 v))) 1)>
#<alt (- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)>
#<alt (- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)>
#<alt (/ (pow m 3) v)>
#<alt (* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))>
#<alt (* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))>
#<alt (/ (pow m 3) v)>
#<alt (* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))>
#<alt (* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))>
#<alt (* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)>
#<alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)>
#<alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)>
#<alt (* -1 (- 1 m))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))>
#<alt (* -1 (- 1 m))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))>
#<alt -1>
#<alt (- (/ m v) 1)>
#<alt (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)>
#<alt (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))>
#<alt (* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (+ (* -1 v) (* m (- 1 m))) v)>
#<alt (/ (+ (* -1 v) (* m (- 1 m))) v)>
#<alt (/ (+ (* -1 v) (* m (- 1 m))) v)>
#<alt -1>
#<alt (- (/ (* m (- 1 m)) v) 1)>
#<alt (- (/ (* m (- 1 m)) v) 1)>
#<alt (- (/ (* m (- 1 m)) v) 1)>
#<alt -1>
#<alt (- (/ (* m (- 1 m)) v) 1)>
#<alt (- (/ (* m (- 1 m)) v) 1)>
#<alt (- (/ (* m (- 1 m)) v) 1)>
#<alt (/ m v)>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ v (- 1 m))>
#<alt (/ v (- 1 m))>
#<alt (/ v (- 1 m))>
#<alt (/ v (- 1 m))>
#<alt (/ v (- 1 m))>
#<alt (/ v (- 1 m))>
#<alt (/ v (- 1 m))>
#<alt (/ v (- 1 m))>
#<alt (/ v (- 1 m))>
#<alt (/ v (- 1 m))>
#<alt (/ v (- 1 m))>
#<alt (/ v (- 1 m))>
#<alt v>
#<alt (+ v (* m v))>
#<alt (+ v (* m (- (* m v) (* -1 v))))>
#<alt (+ v (* m (- (* m (- (* m v) (* -1 v))) (* -1 v))))>
#<alt (* -1 (/ v m))>
#<alt (/ (+ (* -1 v) (* -1 (/ v m))) m)>
#<alt (/ (- (+ (* -1 v) (* -1 (/ v (pow m 2)))) (/ v m)) m)>
#<alt (/ (- (+ (* -1 v) (* -1 (/ v (pow m 3)))) (+ (/ v m) (/ v (pow m 2)))) m)>
#<alt (* -1 (/ v m))>
#<alt (* -1 (/ (+ v (/ v m)) m))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v m)) v) m))) m))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (/ v m) (* -1 v)) m)) v) m))) m))>
#<alt -1>
#<alt (- (* m (+ 1 (/ 1 v))) 1)>
#<alt (- (* m (+ 1 (/ 1 v))) 1)>
#<alt (- (* m (+ 1 (/ 1 v))) 1)>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* m (- (+ 1 (/ 1 v)) (/ 1 m)))>
#<alt (* m (- (+ 1 (/ 1 v)) (/ 1 m)))>
#<alt (* m (- (+ 1 (/ 1 v)) (/ 1 m)))>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))>
#<alt (* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))>
#<alt (* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))>
#<alt (/ m v)>
#<alt (/ (+ m (* v (- m 1))) v)>
#<alt (/ (+ m (* v (- m 1))) v)>
#<alt (/ (+ m (* v (- m 1))) v)>
#<alt (- m 1)>
#<alt (- (+ m (/ m v)) 1)>
#<alt (- (+ m (/ m v)) 1)>
#<alt (- (+ m (/ m v)) 1)>
#<alt (- m 1)>
#<alt (- (+ m (/ m v)) 1)>
#<alt (- (+ m (/ m v)) 1)>
#<alt (- (+ m (/ m v)) 1)>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (/ m v)>
#<alt (/ (+ m (* m v)) v)>
#<alt (/ (+ m (* m v)) v)>
#<alt (/ (+ m (* m v)) v)>
#<alt m>
#<alt (+ m (/ m v))>
#<alt (+ m (/ m v))>
#<alt (+ m (/ m v))>
#<alt m>
#<alt (+ m (/ m v))>
#<alt (+ m (/ m v))>
#<alt (+ m (/ m v))>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt -1>
#<alt (- (* m (+ 1 (/ 1 v))) 1)>
#<alt (- (* m (+ 1 (+ (* -1 (/ m v)) (/ 1 v)))) 1)>
#<alt (- (* m (+ 1 (+ (* -1 (/ m v)) (/ 1 v)))) 1)>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (+ (/ 1 m) (/ 1 (* m v))) (/ 1 v)))>
#<alt (* (pow m 2) (- (+ (/ 1 m) (/ 1 (* m v))) (+ (/ 1 v) (/ 1 (pow m 2)))))>
#<alt (* (pow m 2) (- (+ (/ 1 m) (/ 1 (* m v))) (+ (/ 1 v) (/ 1 (pow m 2)))))>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (+ (/ 1 m) (/ 1 (* m v))) (/ 1 v)))>
#<alt (* (pow m 2) (- (* -1 (/ (+ (* -1 (+ 1 (/ 1 v))) (/ 1 m)) m)) (/ 1 v)))>
#<alt (* (pow m 2) (- (* -1 (/ (+ (* -1 (+ 1 (/ 1 v))) (/ 1 m)) m)) (/ 1 v)))>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (+ (* -1 (* v (- 1 m))) (* m (- 1 m))) v)>
#<alt (/ (+ (* -1 (* v (- 1 m))) (* m (- 1 m))) v)>
#<alt (/ (+ (* -1 (* v (- 1 m))) (* m (- 1 m))) v)>
#<alt (* -1 (- 1 m))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (- 1 m)) v))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (- 1 m)) v))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (- 1 m)) v))>
#<alt (* -1 (- 1 m))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (- 1 m)) v))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (- 1 m)) v))>
#<alt (+ (* -1 (- 1 m)) (/ (* m (- 1 m)) v))>
#<alt -1>
#<alt (- (/ m v) 1)>
#<alt (- (/ m v) 1)>
#<alt (- (/ m v) 1)>
#<alt (/ m v)>
#<alt (* m (- (/ 1 v) (/ 1 m)))>
#<alt (* m (- (/ 1 v) (/ 1 m)))>
#<alt (* m (- (/ 1 v) (/ 1 m)))>
#<alt (/ m v)>
#<alt (* -1 (* m (- (/ 1 m) (/ 1 v))))>
#<alt (* -1 (* m (- (/ 1 m) (/ 1 v))))>
#<alt (* -1 (* m (- (/ 1 m) (/ 1 v))))>
#<alt (/ m v)>
#<alt (/ (+ m (* -1 v)) v)>
#<alt (/ (+ m (* -1 v)) v)>
#<alt (/ (+ m (* -1 v)) v)>
#<alt -1>
#<alt (- (/ m v) 1)>
#<alt (- (/ m v) 1)>
#<alt (- (/ m v) 1)>
#<alt -1>
#<alt (- (/ m v) 1)>
#<alt (- (/ m v) 1)>
#<alt (- (/ m v) 1)>
#<alt 1>
#<alt (+ 1 (* -1 m))>
#<alt (+ 1 (* -1 m))>
#<alt (+ 1 (* -1 m))>
#<alt (* -1 m)>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* -1 m)>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (/ m v)>
#<alt (* m (+ (* -2 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))>
#<alt (* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))>
#<alt (/ (pow m 3) v)>
#<alt (* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))>
#<alt (* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))>
#<alt (/ (pow m 3) v)>
#<alt (* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))>
#<alt (* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))>
#<alt (* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ m v)>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt m>
#<alt (* m (+ 1 (* -1 m)))>
#<alt (* m (+ 1 (* -1 m)))>
#<alt (* m (+ 1 (* -1 m)))>
#<alt (* -1 (pow m 2))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* -1 (pow m 2))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
Calls

72 calls:

TimeVariablePointExpression
4.0ms
v
@-inf
(/ v (- 1 m))
1.0ms
m
@inf
(+ -1 (+ m (/ m v)))
1.0ms
v
@0
(* (/ (* m (- 1 m)) v) (- 1 m))
1.0ms
v
@inf
(* (/ (* m (- 1 m)) v) (- 1 m))
0.0ms
v
@0
(/ v (- 1 m))

rewrite330.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
5168×*-lowering-*.f32
5168×*-lowering-*.f64
4202×/-lowering-/.f32
4202×/-lowering-/.f64
1562×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01789
111286
2118283
0845283
Stop Event
iter limit
node limit
Counts
13 → 885
Calls
Call 1
Inputs
(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
(- (/ m (/ v (- 1 m))) 1)
(/ m (/ v (- 1 m)))
(/ v (- 1 m))
(+ -1 (+ m (/ m v)))
(+ m (/ m v))
(/ m v)
(* (- (/ m v) 1) (- 1 m))
(- (/ m v) 1)
(- 1 m)
(* (/ (* m (- 1 m)) v) (- 1 m))
(/ (* m (- 1 m)) v)
(* m (- 1 m))
Outputs
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m))) (*.f64 (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)))
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) m) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) #s(literal -1 binary64))))
(fma.f64 m (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)))
(fma.f64 m (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 1 binary64) m)) (*.f64 (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) m) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)))
(fma.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (*.f64 (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (-.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)))
(fma.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)))
(fma.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)))
(fma.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (+.f64 (/.f64 (*.f64 m (*.f64 m m)) (/.f64 (*.f64 v (*.f64 v v)) (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))))) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (+.f64 (/.f64 (*.f64 m (*.f64 m m)) (/.f64 (*.f64 v (*.f64 v v)) (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))))) #s(literal -1 binary64))) (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64))) (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)))))
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simplify247.0ms (3.4%)

Algorithm
egg-herbie
Rules
3408×*-lowering-*.f32
3408×*-lowering-*.f64
2078×+-lowering-+.f64
2078×+-lowering-+.f32
2044×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01932308
16072075
217851820
368521820
081111820
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(/ (* m (pow (- 1 m) 2)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
-1
(- (/ m v) 1)
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(/ (* m (- 1 m)) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
-1
(- (/ (* m (- 1 m)) v) 1)
(- (/ (* m (- 1 m)) v) 1)
(- (/ (* m (- 1 m)) v) 1)
-1
(- (/ (* m (- 1 m)) v) 1)
(- (/ (* m (- 1 m)) v) 1)
(- (/ (* m (- 1 m)) v) 1)
(/ m v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ v (- 1 m))
(/ v (- 1 m))
(/ v (- 1 m))
(/ v (- 1 m))
(/ v (- 1 m))
(/ v (- 1 m))
(/ v (- 1 m))
(/ v (- 1 m))
(/ v (- 1 m))
(/ v (- 1 m))
(/ v (- 1 m))
(/ v (- 1 m))
v
(+ v (* m v))
(+ v (* m (- (* m v) (* -1 v))))
(+ v (* m (- (* m (- (* m v) (* -1 v))) (* -1 v))))
(* -1 (/ v m))
(/ (+ (* -1 v) (* -1 (/ v m))) m)
(/ (- (+ (* -1 v) (* -1 (/ v (pow m 2)))) (/ v m)) m)
(/ (- (+ (* -1 v) (* -1 (/ v (pow m 3)))) (+ (/ v m) (/ v (pow m 2)))) m)
(* -1 (/ v m))
(* -1 (/ (+ v (/ v m)) m))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v m)) v) m))) m))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (/ v m) (* -1 v)) m)) v) m))) m))
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (/ 1 v))) 1)
(* m (+ 1 (/ 1 v)))
(* m (- (+ 1 (/ 1 v)) (/ 1 m)))
(* m (- (+ 1 (/ 1 v)) (/ 1 m)))
(* m (- (+ 1 (/ 1 v)) (/ 1 m)))
(* m (+ 1 (/ 1 v)))
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(/ m v)
(/ (+ m (* v (- m 1))) v)
(/ (+ m (* v (- m 1))) v)
(/ (+ m (* v (- m 1))) v)
(- m 1)
(- (+ m (/ m v)) 1)
(- (+ m (/ m v)) 1)
(- (+ m (/ m v)) 1)
(- m 1)
(- (+ m (/ m v)) 1)
(- (+ m (/ m v)) 1)
(- (+ m (/ m v)) 1)
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(/ m v)
(/ (+ m (* m v)) v)
(/ (+ m (* m v)) v)
(/ (+ m (* m v)) v)
m
(+ m (/ m v))
(+ m (/ m v))
(+ m (/ m v))
m
(+ m (/ m v))
(+ m (/ m v))
(+ m (/ m v))
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (+ (* -1 (/ m v)) (/ 1 v)))) 1)
(- (* m (+ 1 (+ (* -1 (/ m v)) (/ 1 v)))) 1)
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (+ (/ 1 m) (/ 1 (* m v))) (/ 1 v)))
(* (pow m 2) (- (+ (/ 1 m) (/ 1 (* m v))) (+ (/ 1 v) (/ 1 (pow m 2)))))
(* (pow m 2) (- (+ (/ 1 m) (/ 1 (* m v))) (+ (/ 1 v) (/ 1 (pow m 2)))))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (+ (/ 1 m) (/ 1 (* m v))) (/ 1 v)))
(* (pow m 2) (- (* -1 (/ (+ (* -1 (+ 1 (/ 1 v))) (/ 1 m)) m)) (/ 1 v)))
(* (pow m 2) (- (* -1 (/ (+ (* -1 (+ 1 (/ 1 v))) (/ 1 m)) m)) (/ 1 v)))
(/ (* m (- 1 m)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (- 1 m))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (- 1 m))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (- 1 m))) v)
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (- 1 m)) v))
(+ (* -1 (- 1 m)) (/ (* m (- 1 m)) v))
(+ (* -1 (- 1 m)) (/ (* m (- 1 m)) v))
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (- 1 m)) v))
(+ (* -1 (- 1 m)) (/ (* m (- 1 m)) v))
(+ (* -1 (- 1 m)) (/ (* m (- 1 m)) v))
-1
(- (/ m v) 1)
(- (/ m v) 1)
(- (/ m v) 1)
(/ m v)
(* m (- (/ 1 v) (/ 1 m)))
(* m (- (/ 1 v) (/ 1 m)))
(* m (- (/ 1 v) (/ 1 m)))
(/ m v)
(* -1 (* m (- (/ 1 m) (/ 1 v))))
(* -1 (* m (- (/ 1 m) (/ 1 v))))
(* -1 (* m (- (/ 1 m) (/ 1 v))))
(/ m v)
(/ (+ m (* -1 v)) v)
(/ (+ m (* -1 v)) v)
(/ (+ m (* -1 v)) v)
-1
(- (/ m v) 1)
(- (/ m v) 1)
(- (/ m v) 1)
-1
(- (/ m v) 1)
(- (/ m v) 1)
(- (/ m v) 1)
1
(+ 1 (* -1 m))
(+ 1 (* -1 m))
(+ 1 (* -1 m))
(* -1 m)
(* m (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* -1 m)
(* -1 (* m (- 1 (/ 1 m))))
(* -1 (* m (- 1 (/ 1 m))))
(* -1 (* m (- 1 (/ 1 m))))
(/ m v)
(* m (+ (* -2 (/ m v)) (/ 1 v)))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ m v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
m
(* m (+ 1 (* -1 m)))
(* m (+ 1 (* -1 m)))
(* m (+ 1 (* -1 m)))
(* -1 (pow m 2))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
(* -1 (pow m 2))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
Outputs
-1
#s(literal -1 binary64)
(- (* m (+ 1 (/ 1 v))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(+.f64 (+.f64 #s(literal -1 binary64) m) (*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v)))
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 m #s(literal -2 binary64))))))))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 m (*.f64 m m)) (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 (/.f64 #s(literal 2 binary64) m) #s(literal -1 binary64)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(*.f64 m (*.f64 (*.f64 m m) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 m m))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m v)) (/.f64 #s(literal -2 binary64) v)) m))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(*.f64 m (*.f64 (*.f64 m m) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 m m))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m v)) (/.f64 #s(literal -2 binary64) v)) m)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 m m)) m))))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 m (*.f64 m m)) (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 (/.f64 #s(literal 2 binary64) m) #s(literal -1 binary64)))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m v)) (/.f64 #s(literal -2 binary64) v))) m)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) v) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) m) (/.f64 #s(literal -1 binary64) v))) m)) m)))
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)) v)
(* -1 (- 1 m))
(+.f64 #s(literal -1 binary64) m)
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)))
(* -1 (- 1 m))
(+.f64 #s(literal -1 binary64) m)
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)))
-1
#s(literal -1 binary64)
(- (/ m v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v)))
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v)))
(* -1 (/ (pow m 2) v))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(*.f64 m (*.f64 m (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -1 binary64) m)) m) (/.f64 #s(literal -1 binary64) v))))
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(*.f64 m (*.f64 m (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -1 binary64) m)) m) (/.f64 #s(literal -1 binary64) v))))
(* -1 (/ (pow m 2) v))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(*.f64 m (*.f64 m (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -1 binary64) m)) m) (/.f64 #s(literal -1 binary64) v))))
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(*.f64 m (*.f64 m (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -1 binary64) m)) m) (/.f64 #s(literal -1 binary64) v))))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (+ (* -1 v) (* m (- 1 m))) v)
(/.f64 (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(/.f64 (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(/.f64 (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) v)
-1
#s(literal -1 binary64)
(- (/ (* m (- 1 m)) v) 1)
(+.f64 #s(literal -1 binary64) (*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v)))
(- (/ (* m (- 1 m)) v) 1)
(+.f64 #s(literal -1 binary64) (*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v)))
(- (/ (* m (- 1 m)) v) 1)
(+.f64 #s(literal -1 binary64) (*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v)))
-1
#s(literal -1 binary64)
(- (/ (* m (- 1 m)) v) 1)
(+.f64 #s(literal -1 binary64) (*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v)))
(- (/ (* m (- 1 m)) v) 1)
(+.f64 #s(literal -1 binary64) (*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v)))
(- (/ (* m (- 1 m)) v) 1)
(+.f64 #s(literal -1 binary64) (*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v)))
(/ m v)
(/.f64 m v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* -1 (/ (pow m 2) v))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* -1 (/ (pow m 2) v))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
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(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))

eval159.0ms (2.2%)

Compiler

Compiled 30251 to 2992 computations (90.1% saved)

prune146.0ms (2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1368101378
Fresh617
Picked325
Done000
Total1377131390
Accuracy
100.0%
Counts
1390 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.6%
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
48.1%
(/.f64 (*.f64 m (*.f64 m m)) v)
51.4%
(/.f64 m v)
51.4%
(+.f64 m (/.f64 m v))
77.7%
(+.f64 #s(literal -1 binary64) (/.f64 m v))
73.6%
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
73.6%
(*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m))
25.2%
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
73.7%
(*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)))
25.6%
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
25.1%
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
48.1%
(*.f64 m (/.f64 (*.f64 m m) v))
24.9%
#s(literal -1 binary64)
Compiler

Compiled 226 to 136 computations (39.8% saved)

simplify117.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 m v)
cost-diff0
(*.f64 m #s(literal -2 binary64))
cost-diff0
(+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
cost-diff0
(-.f64 #s(literal 1 binary64) m)
cost-diff0
(/.f64 m v)
cost-diff0
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
cost-diff0
(*.f64 m m)
cost-diff0
(/.f64 (*.f64 m m) v)
cost-diff0
(*.f64 m (/.f64 (*.f64 m m) v))
cost-diff0
(/.f64 m v)
cost-diff0
(/.f64 m v)
cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 m v))
Rules
2808×sum5-define
2132×sum3-define
2038×fma-define
1348×fnmadd-define
1090×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01568
13467
26867
312366
427065
542865
673865
7131065
8422965
9581065
10760265
0802665
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ -1 (/ m v))
-1
(/ m v)
m
v
(/ m v)
m
v
(* m (/ (* m m) v))
m
(/ (* m m) v)
(* m m)
v
(* (/ m v) (- 1 m))
(/ m v)
m
v
(- 1 m)
1
(* (+ (* m -2) 1) (/ m v))
(+ (* m -2) 1)
(* m -2)
m
-2
1
(/ m v)
v
Outputs
(+ -1 (/ m v))
(+.f64 #s(literal -1 binary64) (/.f64 m v))
-1
#s(literal -1 binary64)
(/ m v)
(/.f64 m v)
m
v
(/ m v)
(/.f64 m v)
m
v
(* m (/ (* m m) v))
(*.f64 m (/.f64 (*.f64 m m) v))
m
(/ (* m m) v)
(/.f64 (*.f64 m m) v)
(* m m)
(*.f64 m m)
v
(* (/ m v) (- 1 m))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ m v)
(/.f64 m v)
m
v
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
1
#s(literal 1 binary64)
(* (+ (* m -2) 1) (/ m v))
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(+ (* m -2) 1)
(+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))
(* m -2)
(*.f64 m #s(literal -2 binary64))
m
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)
(/ m v)
(/.f64 m v)
v

localize81.0ms (1.1%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 m v)
accuracy100.0%
(+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy100.0%
(*.f64 m #s(literal -2 binary64))
accuracy99.9%
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
accuracy100.0%
(/.f64 m v)
accuracy100.0%
(-.f64 #s(literal 1 binary64) m)
accuracy99.9%
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
accuracy100.0%
(*.f64 m m)
accuracy99.9%
(*.f64 m (/.f64 (*.f64 m m) v))
accuracy84.3%
(/.f64 (*.f64 m m) v)
accuracy100.0%
(/.f64 m v)
accuracy100.0%
(/.f64 m v)
accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 m v))
Results
61.0ms256×0valid
Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 8.0ms (47.5% of total)
ival-div: 4.0ms (23.8% of total)
ival-add: 3.0ms (17.8% of total)
ival-sub: 1.0ms (5.9% of total)
const: 1.0ms (5.9% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts
10 → 192
Calls
Call 1
Inputs
#<alt (+ -1 (/ m v))>
#<alt (/ m v)>
#<alt (* m (/ (* m m) v))>
#<alt (/ (* m m) v)>
#<alt (* m m)>
#<alt (* (/ m v) (- 1 m))>
#<alt (- 1 m)>
#<alt (* (+ (* m -2) 1) (/ m v))>
#<alt (+ (* m -2) 1)>
#<alt (* m -2)>
Outputs
#<alt -1>
#<alt (- (/ m v) 1)>
#<alt (- (/ m v) 1)>
#<alt (- (/ m v) 1)>
#<alt (/ m v)>
#<alt (* m (- (/ 1 v) (/ 1 m)))>
#<alt (* m (- (/ 1 v) (/ 1 m)))>
#<alt (* m (- (/ 1 v) (/ 1 m)))>
#<alt (/ m v)>
#<alt (* -1 (* m (- (/ 1 m) (/ 1 v))))>
#<alt (* -1 (* m (- (/ 1 m) (/ 1 v))))>
#<alt (* -1 (* m (- (/ 1 m) (/ 1 v))))>
#<alt (/ m v)>
#<alt (/ (+ m (* -1 v)) v)>
#<alt (/ (+ m (* -1 v)) v)>
#<alt (/ (+ m (* -1 v)) v)>
#<alt -1>
#<alt (- (/ m v) 1)>
#<alt (- (/ m v) 1)>
#<alt (- (/ m v) 1)>
#<alt -1>
#<alt (- (/ m v) 1)>
#<alt (- (/ m v) 1)>
#<alt (- (/ m v) 1)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (pow m 2)>
#<alt (pow m 2)>
#<alt (pow m 2)>
#<alt (pow m 2)>
#<alt (pow m 2)>
#<alt (pow m 2)>
#<alt (pow m 2)>
#<alt (pow m 2)>
#<alt (pow m 2)>
#<alt (pow m 2)>
#<alt (pow m 2)>
#<alt (pow m 2)>
#<alt (/ m v)>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt 1>
#<alt (+ 1 (* -1 m))>
#<alt (+ 1 (* -1 m))>
#<alt (+ 1 (* -1 m))>
#<alt (* -1 m)>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* -1 m)>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (/ m v)>
#<alt (* m (+ (* -2 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* -2 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* -2 (/ m v)) (/ 1 v)))>
#<alt (* -2 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))>
#<alt (* -2 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))>
#<alt (/ (* m (+ 1 (* -2 m))) v)>
#<alt (/ (* m (+ 1 (* -2 m))) v)>
#<alt (/ (* m (+ 1 (* -2 m))) v)>
#<alt (/ (* m (+ 1 (* -2 m))) v)>
#<alt (/ (* m (+ 1 (* -2 m))) v)>
#<alt (/ (* m (+ 1 (* -2 m))) v)>
#<alt (/ (* m (+ 1 (* -2 m))) v)>
#<alt (/ (* m (+ 1 (* -2 m))) v)>
#<alt (/ (* m (+ 1 (* -2 m))) v)>
#<alt (/ (* m (+ 1 (* -2 m))) v)>
#<alt (/ (* m (+ 1 (* -2 m))) v)>
#<alt (/ (* m (+ 1 (* -2 m))) v)>
#<alt 1>
#<alt (+ 1 (* -2 m))>
#<alt (+ 1 (* -2 m))>
#<alt (+ 1 (* -2 m))>
#<alt (* -2 m)>
#<alt (* m (- (/ 1 m) 2))>
#<alt (* m (- (/ 1 m) 2))>
#<alt (* m (- (/ 1 m) 2))>
#<alt (* -2 m)>
#<alt (* -1 (* m (- 2 (/ 1 m))))>
#<alt (* -1 (* m (- 2 (/ 1 m))))>
#<alt (* -1 (* m (- 2 (/ 1 m))))>
#<alt (* -2 m)>
#<alt (* -2 m)>
#<alt (* -2 m)>
#<alt (* -2 m)>
#<alt (* -2 m)>
#<alt (* -2 m)>
#<alt (* -2 m)>
#<alt (* -2 m)>
#<alt (* -2 m)>
#<alt (* -2 m)>
#<alt (* -2 m)>
#<alt (* -2 m)>
Calls

48 calls:

TimeVariablePointExpression
3.0ms
v
@0
(/ (* m m) v)
1.0ms
v
@0
(* m (/ (* m m) v))
1.0ms
v
@0
(* (+ (* m -2) 1) (/ m v))
1.0ms
m
@0
(* m (/ (* m m) v))
1.0ms
v
@inf
(* (+ (* m -2) 1) (/ m v))

rewrite222.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
4040×*-lowering-*.f32
4040×*-lowering-*.f64
3786×/-lowering-/.f32
3786×/-lowering-/.f64
1834×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01545
18144
267743
0869043
Stop Event
iter limit
node limit
Counts
10 → 569
Calls
Call 1
Inputs
(+ -1 (/ m v))
(/ m v)
(* m (/ (* m m) v))
(/ (* m m) v)
(* m m)
(* (/ m v) (- 1 m))
(- 1 m)
(* (+ (* m -2) 1) (/ m v))
(+ (* m -2) 1)
(* m -2)
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(+.f64 (/.f64 m v) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 m v))) (neg.f64 (/.f64 (/.f64 (*.f64 m m) v) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 m v)) v))))
(-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 m v)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 m v))) (/.f64 (/.f64 (*.f64 m m) v) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 m v)) v)))
(-.f64 (/.f64 (/.f64 m (/.f64 v (/.f64 m v))) (+.f64 (/.f64 m v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 m v) #s(literal 1 binary64))))
(fma.f64 m (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 m v) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) m) (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) v) m #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 m (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 m v) #s(literal 1 binary64)) (/.f64 v m))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v (/.f64 m v)))) (+.f64 #s(literal 1 binary64) (/.f64 m v))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 m m) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 v (/.f64 m v))) v))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 m v) #s(literal 1 binary64)) (/.f64 v m)))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 m (/.f64 v (/.f64 m v)))) (-.f64 #s(literal -1 binary64) (/.f64 m v))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 m v)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 m v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 m v))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 m v) #s(literal 1 binary64)) (+.f64 (/.f64 m (/.f64 v (/.f64 m v))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 m (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 m v) #s(literal 1 binary64)) (/.f64 v m))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v (/.f64 m v)))) (-.f64 #s(literal -1 binary64) (/.f64 m v)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 m m) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 v (/.f64 m v))) v))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 m v) #s(literal 1 binary64)) (/.f64 v m)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 m (/.f64 v (/.f64 m v)))) (+.f64 #s(literal 1 binary64) (/.f64 m v)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 m (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v)) (*.f64 (/.f64 m (/.f64 v (/.f64 m v))) (/.f64 (/.f64 (*.f64 m m) v) (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 m v) #s(literal 1 binary64)) (/.f64 v m))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 m (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v)) (-.f64 (/.f64 m (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 m (/.f64 v (/.f64 m v))) (/.f64 (/.f64 (*.f64 m m) v) (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 m v) #s(literal 1 binary64)) (/.f64 v m))) (-.f64 #s(literal -1 binary64) (/.f64 m (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 m (/.f64 v (/.f64 m v))) (/.f64 (/.f64 (*.f64 m m) v) (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 m v)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 m (/.f64 v (/.f64 m v))) (+.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v (/.f64 m v))))))))
(/.f64 (+.f64 (/.f64 m (/.f64 v (/.f64 m v))) #s(literal -1 binary64)) (+.f64 (/.f64 m v) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 m m) v) (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 m v)) (+.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v (/.f64 m v))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 m v))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 m v)) (/.f64 m (/.f64 v (/.f64 m v))))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 m v)) (-.f64 #s(literal -1 binary64) (/.f64 m v))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 m (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v)) (*.f64 (/.f64 m (/.f64 v (/.f64 m v))) (/.f64 (/.f64 (*.f64 m m) v) (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 m (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v)) (-.f64 (/.f64 m (*.f64 (/.f64 v (/.f64 (*.f64 m m) v)) v)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 m v) #s(literal 1 binary64)) (/.f64 v m)))))
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 m (*.f64 m (*.f64 m m))) #s(literal 16 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 m #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 m #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (-.f64 (*.f64 m #s(literal 4 binary64)) #s(literal -2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) #s(literal -8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (-.f64 (*.f64 m #s(literal 4 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (-.f64 (*.f64 m #s(literal 4 binary64)) #s(literal -2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (-.f64 (*.f64 m #s(literal 4 binary64)) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) #s(literal -8 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) #s(literal -8 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 m m) (*.f64 m (*.f64 m (*.f64 m m)))) #s(literal 64 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))))))) (+.f64 (*.f64 (*.f64 m (*.f64 m (*.f64 m m))) #s(literal 16 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (*.f64 (*.f64 m m) #s(literal 4 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) #s(literal -8 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (-.f64 (*.f64 m #s(literal 4 binary64)) #s(literal -2 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64))) (*.f64 m #s(literal -2 binary64))))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64))) (*.f64 m #s(literal -2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64))) (+.f64 (*.f64 (*.f64 m (*.f64 m m)) #s(literal -8 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 (*.f64 m #s(literal 4 binary64)) #s(literal -2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (*.f64 m (*.f64 m m))))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 (*.f64 m #s(literal 4 binary64)) #s(literal -2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))))
(*.f64 m #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) m)
(*.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64))

simplify191.0ms (2.6%)

Algorithm
egg-herbie
Rules
3038×*-lowering-*.f32
3038×*-lowering-*.f64
1958×/-lowering-/.f32
1958×/-lowering-/.f64
1928×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057980
1152889
2341826
3861826
41798826
55074826
08580826
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
-1
(- (/ m v) 1)
(- (/ m v) 1)
(- (/ m v) 1)
(/ m v)
(* m (- (/ 1 v) (/ 1 m)))
(* m (- (/ 1 v) (/ 1 m)))
(* m (- (/ 1 v) (/ 1 m)))
(/ m v)
(* -1 (* m (- (/ 1 m) (/ 1 v))))
(* -1 (* m (- (/ 1 m) (/ 1 v))))
(* -1 (* m (- (/ 1 m) (/ 1 v))))
(/ m v)
(/ (+ m (* -1 v)) v)
(/ (+ m (* -1 v)) v)
(/ (+ m (* -1 v)) v)
-1
(- (/ m v) 1)
(- (/ m v) 1)
(- (/ m v) 1)
-1
(- (/ m v) 1)
(- (/ m v) 1)
(- (/ m v) 1)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(pow m 2)
(pow m 2)
(pow m 2)
(pow m 2)
(pow m 2)
(pow m 2)
(pow m 2)
(pow m 2)
(pow m 2)
(pow m 2)
(pow m 2)
(pow m 2)
(/ m v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
1
(+ 1 (* -1 m))
(+ 1 (* -1 m))
(+ 1 (* -1 m))
(* -1 m)
(* m (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* -1 m)
(* -1 (* m (- 1 (/ 1 m))))
(* -1 (* m (- 1 (/ 1 m))))
(* -1 (* m (- 1 (/ 1 m))))
(/ m v)
(* m (+ (* -2 (/ m v)) (/ 1 v)))
(* m (+ (* -2 (/ m v)) (/ 1 v)))
(* m (+ (* -2 (/ m v)) (/ 1 v)))
(* -2 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))
(* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))
(* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))
(* -2 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))
(* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))
(* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))
(/ (* m (+ 1 (* -2 m))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/ (* m (+ 1 (* -2 m))) v)
1
(+ 1 (* -2 m))
(+ 1 (* -2 m))
(+ 1 (* -2 m))
(* -2 m)
(* m (- (/ 1 m) 2))
(* m (- (/ 1 m) 2))
(* m (- (/ 1 m) 2))
(* -2 m)
(* -1 (* m (- 2 (/ 1 m))))
(* -1 (* m (- 2 (/ 1 m))))
(* -1 (* m (- 2 (/ 1 m))))
(* -2 m)
(* -2 m)
(* -2 m)
(* -2 m)
(* -2 m)
(* -2 m)
(* -2 m)
(* -2 m)
(* -2 m)
(* -2 m)
(* -2 m)
(* -2 m)
Outputs
-1
#s(literal -1 binary64)
(- (/ m v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(- (/ m v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(- (/ m v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(/ m v)
(/.f64 m v)
(* m (- (/ 1 v) (/ 1 m)))
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(* m (- (/ 1 v) (/ 1 m)))
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(* m (- (/ 1 v) (/ 1 m)))
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(/ m v)
(/.f64 m v)
(* -1 (* m (- (/ 1 m) (/ 1 v))))
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(* -1 (* m (- (/ 1 m) (/ 1 v))))
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(* -1 (* m (- (/ 1 m) (/ 1 v))))
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(/ m v)
(/.f64 m v)
(/ (+ m (* -1 v)) v)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(/ (+ m (* -1 v)) v)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(/ (+ m (* -1 v)) v)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
-1
#s(literal -1 binary64)
(- (/ m v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(- (/ m v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(- (/ m v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
-1
#s(literal -1 binary64)
(- (/ m v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(- (/ m v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(- (/ m v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(pow m 2)
(*.f64 m m)
(pow m 2)
(*.f64 m m)
(pow m 2)
(*.f64 m m)
(pow m 2)
(*.f64 m m)
(pow m 2)
(*.f64 m m)
(pow m 2)
(*.f64 m m)
(pow m 2)
(*.f64 m m)
(pow m 2)
(*.f64 m m)
(pow m 2)
(*.f64 m m)
(pow m 2)
(*.f64 m m)
(pow m 2)
(*.f64 m m)
(pow m 2)
(*.f64 m m)
(/ m v)
(/.f64 m v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* -1 (/ (pow m 2) v))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* -1 (/ (pow m 2) v))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
1
#s(literal 1 binary64)
(+ 1 (* -1 m))
(-.f64 #s(literal 1 binary64) m)
(+ 1 (* -1 m))
(-.f64 #s(literal 1 binary64) m)
(+ 1 (* -1 m))
(-.f64 #s(literal 1 binary64) m)
(* -1 m)
(-.f64 #s(literal 0 binary64) m)
(* m (- (/ 1 m) 1))
(-.f64 #s(literal 1 binary64) m)
(* m (- (/ 1 m) 1))
(-.f64 #s(literal 1 binary64) m)
(* m (- (/ 1 m) 1))
(-.f64 #s(literal 1 binary64) m)
(* -1 m)
(-.f64 #s(literal 0 binary64) m)
(* -1 (* m (- 1 (/ 1 m))))
(-.f64 #s(literal 1 binary64) m)
(* -1 (* m (- 1 (/ 1 m))))
(-.f64 #s(literal 1 binary64) m)
(* -1 (* m (- 1 (/ 1 m))))
(-.f64 #s(literal 1 binary64) m)
(/ m v)
(/.f64 m v)
(* m (+ (* -2 (/ m v)) (/ 1 v)))
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(* m (+ (* -2 (/ m v)) (/ 1 v)))
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(* m (+ (* -2 (/ m v)) (/ 1 v)))
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(* -2 (/ (pow m 2) v))
(/.f64 (*.f64 m (*.f64 m #s(literal -2 binary64))) v)
(* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(* -2 (/ (pow m 2) v))
(/.f64 (*.f64 m (*.f64 m #s(literal -2 binary64))) v)
(* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(* (pow m 2) (- (/ 1 (* m v)) (* 2 (/ 1 v))))
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/ (* m (+ 1 (* -2 m))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
1
#s(literal 1 binary64)
(+ 1 (* -2 m))
(+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))
(+ 1 (* -2 m))
(+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))
(+ 1 (* -2 m))
(+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))
(* -2 m)
(*.f64 m #s(literal -2 binary64))
(* m (- (/ 1 m) 2))
(+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))
(* m (- (/ 1 m) 2))
(+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))
(* m (- (/ 1 m) 2))
(+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))
(* -2 m)
(*.f64 m #s(literal -2 binary64))
(* -1 (* m (- 2 (/ 1 m))))
(+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))
(* -1 (* m (- 2 (/ 1 m))))
(+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))
(* -1 (* m (- 2 (/ 1 m))))
(+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))
(* -2 m)
(*.f64 m #s(literal -2 binary64))
(* -2 m)
(*.f64 m #s(literal -2 binary64))
(* -2 m)
(*.f64 m #s(literal -2 binary64))
(* -2 m)
(*.f64 m #s(literal -2 binary64))
(* -2 m)
(*.f64 m #s(literal -2 binary64))
(* -2 m)
(*.f64 m #s(literal -2 binary64))
(* -2 m)
(*.f64 m #s(literal -2 binary64))
(* -2 m)
(*.f64 m #s(literal -2 binary64))
(* -2 m)
(*.f64 m #s(literal -2 binary64))
(* -2 m)
(*.f64 m #s(literal -2 binary64))
(* -2 m)
(*.f64 m #s(literal -2 binary64))
(* -2 m)
(*.f64 m #s(literal -2 binary64))

eval104.0ms (1.4%)

Compiler

Compiled 13585 to 1483 computations (89.1% saved)

prune86.0ms (1.2%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New8948902
Fresh426
Picked235
Done022
Total90015915
Accuracy
100.0%
Counts
915 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 v m))
25.2%
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
25.6%
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
73.6%
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
48.1%
(/.f64 m (/.f64 v (*.f64 m m)))
51.4%
(/.f64 m v)
51.3%
(/.f64 #s(literal 1 binary64) (/.f64 v m))
51.4%
(+.f64 m (/.f64 m v))
77.7%
(+.f64 #s(literal -1 binary64) (/.f64 m v))
73.6%
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
51.3%
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
25.6%
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
48.1%
(*.f64 m (/.f64 m (/.f64 v m)))
48.2%
(*.f64 m (*.f64 (/.f64 m v) m))
24.9%
#s(literal -1 binary64)
Compiler

Compiled 223 to 142 computations (36.3% saved)

simplify122.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) m)
cost-diff0
(*.f64 m (-.f64 #s(literal 1 binary64) m))
cost-diff0
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
cost-diff0
(/.f64 v m)
cost-diff0
(/.f64 m (/.f64 v m))
cost-diff0
(*.f64 m (/.f64 m (/.f64 v m)))
cost-diff0
(/.f64 v m)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 v m))
cost-diff0
(/.f64 #s(literal 1 binary64) v)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
cost-diff0
(-.f64 #s(literal 1 binary64) m)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))
cost-diff0
(*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))
cost-diff0
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
Rules
1760×sum4-define
1720×sum5-define
1606×fnmadd-define
1290×*-lowering-*.f32
1290×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01578
13774
27474
320471
454371
5251071
0830471
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* m (* (- 1 m) (- 1 m))) v)
(* m (* (- 1 m) (- 1 m)))
m
(* (- 1 m) (- 1 m))
(- 1 m)
1
v
(* (/ 1 v) m)
(/ 1 v)
1
v
m
(/ 1 (/ v m))
1
(/ v m)
v
m
(* m (/ m (/ v m)))
m
(/ m (/ v m))
(/ v m)
v
(/ (* m (- 1 m)) v)
(* m (- 1 m))
m
(- 1 m)
1
v
Outputs
(/ (* m (* (- 1 m) (- 1 m))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) (/.f64 v m))
(* m (* (- 1 m) (- 1 m)))
(*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))
m
(* (- 1 m) (- 1 m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
1
#s(literal 1 binary64)
v
(* (/ 1 v) m)
(/.f64 m v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
v
m
(/ 1 (/ v m))
(/.f64 m v)
1
#s(literal 1 binary64)
(/ v m)
(/.f64 v m)
v
m
(* m (/ m (/ v m)))
(*.f64 m (/.f64 m (/.f64 v m)))
m
(/ m (/ v m))
(/.f64 m (/.f64 v m))
(/ v m)
(/.f64 v m)
v
(/ (* m (- 1 m)) v)
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m))
(* m (- 1 m))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
m
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
1
#s(literal 1 binary64)
v

localize93.0ms (1.3%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) m)
accuracy100.0%
(*.f64 m (-.f64 #s(literal 1 binary64) m))
accuracy100.0%
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
accuracy100.0%
(/.f64 v m)
accuracy99.9%
(*.f64 m (/.f64 m (/.f64 v m)))
accuracy99.8%
(/.f64 m (/.f64 v m))
accuracy100.0%
(/.f64 v m)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 v m))
accuracy100.0%
(/.f64 #s(literal 1 binary64) v)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
accuracy100.0%
(-.f64 #s(literal 1 binary64) m)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))
accuracy100.0%
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
accuracy99.9%
(*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))
Results
71.0ms256×0valid
Compiler

Compiled 93 to 16 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 10.0ms (48.8% of total)
ival-mult: 8.0ms (39% of total)
ival-sub: 2.0ms (9.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
12 → 228
Calls
Call 1
Inputs
#<alt (/ (* m (* (- 1 m) (- 1 m))) v)>
#<alt (* m (* (- 1 m) (- 1 m)))>
#<alt (* (- 1 m) (- 1 m))>
#<alt (- 1 m)>
#<alt (* (/ 1 v) m)>
#<alt (/ 1 v)>
#<alt (/ 1 (/ v m))>
#<alt (/ v m)>
#<alt (* m (/ m (/ v m)))>
#<alt (/ m (/ v m))>
#<alt (/ (* m (- 1 m)) v)>
#<alt (* m (- 1 m))>
Outputs
#<alt (/ m v)>
#<alt (* m (+ (* -2 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))>
#<alt (* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))>
#<alt (/ (pow m 3) v)>
#<alt (* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))>
#<alt (* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))>
#<alt (/ (pow m 3) v)>
#<alt (* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))>
#<alt (* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))>
#<alt (* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt (/ (* m (pow (- 1 m) 2)) v)>
#<alt m>
#<alt (* m (+ 1 (* -2 m)))>
#<alt (* m (+ 1 (* m (- m 2))))>
#<alt (* m (+ 1 (* m (- m 2))))>
#<alt (pow m 3)>
#<alt (* (pow m 3) (- 1 (* 2 (/ 1 m))))>
#<alt (* (pow m 3) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))>
#<alt (* (pow m 3) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))>
#<alt (pow m 3)>
#<alt (* -1 (* (pow m 3) (- (* 2 (/ 1 m)) 1)))>
#<alt (* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 m) 2) m)) 1)))>
#<alt (* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 m) 2) m)) 1)))>
#<alt 1>
#<alt (+ 1 (* -2 m))>
#<alt (+ 1 (* m (- m 2)))>
#<alt (+ 1 (* m (- m 2)))>
#<alt (pow m 2)>
#<alt (* (pow m 2) (- 1 (* 2 (/ 1 m))))>
#<alt (* (pow m 2) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))>
#<alt (* (pow m 2) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))>
#<alt (pow m 2)>
#<alt (* (pow m 2) (- 1 (* 2 (/ 1 m))))>
#<alt (* (pow m 2) (+ 1 (* -1 (/ (- 2 (/ 1 m)) m))))>
#<alt (* (pow m 2) (+ 1 (* -1 (/ (- 2 (/ 1 m)) m))))>
#<alt 1>
#<alt (+ 1 (* -1 m))>
#<alt (+ 1 (* -1 m))>
#<alt (+ 1 (* -1 m))>
#<alt (* -1 m)>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* -1 m)>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ v m)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 3) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ (pow m 2) v)>
#<alt (/ m v)>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* m (+ (* -1 (/ m v)) (/ 1 v)))>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* -1 (/ (pow m 2) v))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (/ (* m (- 1 m)) v)>
#<alt m>
#<alt (* m (+ 1 (* -1 m)))>
#<alt (* m (+ 1 (* -1 m)))>
#<alt (* m (+ 1 (* -1 m)))>
#<alt (* -1 (pow m 2))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* -1 (pow m 2))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
#<alt (* (pow m 2) (- (/ 1 m) 1))>
Calls

57 calls:

TimeVariablePointExpression
0.0ms
m
@-inf
(/ v m)
0.0ms
v
@-inf
(/ v m)
0.0ms
v
@0
(/ v m)
0.0ms
m
@0
(/ v m)
0.0ms
v
@inf
(/ v m)

rewrite230.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
2708×*-lowering-*.f32
2708×*-lowering-*.f64
2456×/-lowering-/.f32
2456×/-lowering-/.f64
1112×frac-times
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01558
18254
247853
3542451
0803251
Stop Event
iter limit
node limit
Counts
12 → 722
Calls
Call 1
Inputs
(/ (* m (* (- 1 m) (- 1 m))) v)
(* m (* (- 1 m) (- 1 m)))
(* (- 1 m) (- 1 m))
(- 1 m)
(* (/ 1 v) m)
(/ 1 v)
(/ 1 (/ v m))
(/ v m)
(* m (/ m (/ v m)))
(/ m (/ v m))
(/ (* m (- 1 m)) v)
(* m (- 1 m))
Outputs
(+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (*.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (*.f64 (*.f64 m (*.f64 m (+.f64 m #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) v)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 v m) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 #s(literal 1 binary64) m))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 v m)))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (/.f64 (+.f64 m #s(literal -1 binary64)) v))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) v)) (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (/.f64 (+.f64 m #s(literal -1 binary64)) v))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (/.f64 (+.f64 m #s(literal -1 binary64)) v))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (/.f64 (+.f64 m #s(literal -1 binary64)) v)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 v m) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))))
(/.f64 m (/.f64 v (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v m) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) (/.f64 v m))
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(/.f64 (/.f64 m (/.f64 v (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (-.f64 #s(literal 1 binary64) m)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (+.f64 m #s(literal -1 binary64))))
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 m #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) v))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal 1 binary64) m))
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m)))) (*.f64 v (+.f64 m #s(literal 1 binary64))))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (/.f64 v (-.f64 #s(literal 1 binary64) m))))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (*.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 v (-.f64 #s(literal 1 binary64) m))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 v m)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 v m))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m m))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 m #s(literal 1 binary64))) (/.f64 v m)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m m))) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 m #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 v m))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (-.f64 #s(literal 1 binary64) (*.f64 m m))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64))) (/.f64 v m)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (-.f64 #s(literal 1 binary64) (*.f64 m m))) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 v m))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (/.f64 v m)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 v m))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m m))) #s(literal 1 binary64)) (*.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 v m)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m m))) #s(literal -1 binary64)) (*.f64 (+.f64 m #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v m))))
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))))
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (*.f64 v (+.f64 m #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (*.f64 (+.f64 m #s(literal 1 binary64)) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))))
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (*.f64 (+.f64 m #s(literal 1 binary64)) (*.f64 v (+.f64 m #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) m) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) v))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (/.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) m)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (-.f64 #s(literal 0 binary64) m)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m m))) m) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 m #s(literal 1 binary64))) v))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (/.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 m #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) m)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (-.f64 #s(literal 0 binary64) m)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 m #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (-.f64 #s(literal 1 binary64) (*.f64 m m))) m) (*.f64 (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64))) v))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (/.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) m)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (-.f64 #s(literal 0 binary64) m)) (*.f64 (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) m) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (/.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) m)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (-.f64 #s(literal 0 binary64) m)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m m))) m) (*.f64 v (+.f64 m #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (/.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) m)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (-.f64 #s(literal 0 binary64) m)) (*.f64 (+.f64 m #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))) #s(literal 1 binary64)) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(/.f64 (*.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m)))) #s(literal 1 binary64)) (*.f64 v (+.f64 m #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m)))) #s(literal -1 binary64)) (*.f64 (+.f64 m #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))))) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))))) (*.f64 v (+.f64 m #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))))) (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))))) (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 m #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (-.f64 #s(literal 1 binary64) m)) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (+.f64 m #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (-.f64 #s(literal 1 binary64) m)) (*.f64 v (+.f64 m #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (+.f64 m #s(literal -1 binary64))) (*.f64 (+.f64 m #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v m)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) #s(literal 1 binary64)) (/.f64 v m))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))))) (+.f64 m #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (/.f64 m v)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (/.f64 m v)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (+.f64 m #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (/.f64 m v)) (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (/.f64 m v)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (/.f64 m v)) (+.f64 m #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))) (/.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m)))) (/.f64 #s(literal 1 binary64) v)) (+.f64 m #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (/.f64 (-.f64 #s(literal 1 binary64) m) v)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (/.f64 (-.f64 #s(literal 1 binary64) m) v)) (+.f64 m #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 m #s(literal -1 binary64)))) #s(literal -1 binary64)) v)
(pow.f64 (/.f64 (/.f64 v m) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v (-.f64 #s(literal 1 binary64) m))))
(*.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))))
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) (/.f64 m v))
(*.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 m (/.f64 v (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))))
(*.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64)))
(*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)))
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(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (*.f64 m (+.f64 m #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (-.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (*.f64 m (+.f64 m #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (-.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -1 binary64)))))

simplify178.0ms (2.4%)

Algorithm
egg-herbie
Rules
2826×*-lowering-*.f32
2826×*-lowering-*.f64
1740×/-lowering-/.f32
1740×/-lowering-/.f64
1310×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0951160
12891060
2812998
32838989
47294989
08064989
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(/ m v)
(* m (+ (* -2 (/ m v)) (/ 1 v)))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
m
(* m (+ 1 (* -2 m)))
(* m (+ 1 (* m (- m 2))))
(* m (+ 1 (* m (- m 2))))
(pow m 3)
(* (pow m 3) (- 1 (* 2 (/ 1 m))))
(* (pow m 3) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(* (pow m 3) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(pow m 3)
(* -1 (* (pow m 3) (- (* 2 (/ 1 m)) 1)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 m) 2) m)) 1)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 m) 2) m)) 1)))
1
(+ 1 (* -2 m))
(+ 1 (* m (- m 2)))
(+ 1 (* m (- m 2)))
(pow m 2)
(* (pow m 2) (- 1 (* 2 (/ 1 m))))
(* (pow m 2) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(* (pow m 2) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(pow m 2)
(* (pow m 2) (- 1 (* 2 (/ 1 m))))
(* (pow m 2) (+ 1 (* -1 (/ (- 2 (/ 1 m)) m))))
(* (pow m 2) (+ 1 (* -1 (/ (- 2 (/ 1 m)) m))))
1
(+ 1 (* -1 m))
(+ 1 (* -1 m))
(+ 1 (* -1 m))
(* -1 m)
(* m (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* -1 m)
(* -1 (* m (- 1 (/ 1 m))))
(* -1 (* m (- 1 (/ 1 m))))
(* -1 (* m (- 1 (/ 1 m))))
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ v m)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 3) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ m v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
m
(* m (+ 1 (* -1 m)))
(* m (+ 1 (* -1 m)))
(* m (+ 1 (* -1 m)))
(* -1 (pow m 2))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
(* -1 (pow m 2))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
Outputs
(/ m v)
(/.f64 m v)
(* m (+ (* -2 (/ m v)) (/ 1 v)))
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v)))
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))))
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))))
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
m
(* m (+ 1 (* -2 m)))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))))
(* m (+ 1 (* m (- m 2))))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))))
(* m (+ 1 (* m (- m 2))))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))))
(pow m 3)
(*.f64 m (*.f64 m m))
(* (pow m 3) (- 1 (* 2 (/ 1 m))))
(*.f64 (*.f64 m m) (+.f64 m #s(literal -2 binary64)))
(* (pow m 3) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))))
(* (pow m 3) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))))
(pow m 3)
(*.f64 m (*.f64 m m))
(* -1 (* (pow m 3) (- (* 2 (/ 1 m)) 1)))
(*.f64 (*.f64 m m) (+.f64 m #s(literal -2 binary64)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 m) 2) m)) 1)))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 m) 2) m)) 1)))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -2 m))
(+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))
(+ 1 (* m (- m 2)))
(+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64))))
(+ 1 (* m (- m 2)))
(+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64))))
(pow m 2)
(*.f64 m m)
(* (pow m 2) (- 1 (* 2 (/ 1 m))))
(*.f64 m (+.f64 m #s(literal -2 binary64)))
(* (pow m 2) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64))))
(* (pow m 2) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64))))
(pow m 2)
(*.f64 m m)
(* (pow m 2) (- 1 (* 2 (/ 1 m))))
(*.f64 m (+.f64 m #s(literal -2 binary64)))
(* (pow m 2) (+ 1 (* -1 (/ (- 2 (/ 1 m)) m))))
(+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64))))
(* (pow m 2) (+ 1 (* -1 (/ (- 2 (/ 1 m)) m))))
(+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 m))
(-.f64 #s(literal 1 binary64) m)
(+ 1 (* -1 m))
(-.f64 #s(literal 1 binary64) m)
(+ 1 (* -1 m))
(-.f64 #s(literal 1 binary64) m)
(* -1 m)
(-.f64 #s(literal 0 binary64) m)
(* m (- (/ 1 m) 1))
(-.f64 #s(literal 1 binary64) m)
(* m (- (/ 1 m) 1))
(-.f64 #s(literal 1 binary64) m)
(* m (- (/ 1 m) 1))
(-.f64 #s(literal 1 binary64) m)
(* -1 m)
(-.f64 #s(literal 0 binary64) m)
(* -1 (* m (- 1 (/ 1 m))))
(-.f64 #s(literal 1 binary64) m)
(* -1 (* m (- 1 (/ 1 m))))
(-.f64 #s(literal 1 binary64) m)
(* -1 (* m (- 1 (/ 1 m))))
(-.f64 #s(literal 1 binary64) m)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ v m)
(/.f64 v m)
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 3) v)
(*.f64 m (/.f64 (*.f64 m m) v))
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ m v)
(/.f64 m v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* -1 (/ (pow m 2) v))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* -1 (/ (pow m 2) v))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 m m) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
m
(* m (+ 1 (* -1 m)))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* m (+ 1 (* -1 m)))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* m (+ 1 (* -1 m)))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(* (pow m 2) (- (/ 1 m) 1))
(*.f64 m (-.f64 #s(literal 1 binary64) m))

eval152.0ms (2.1%)

Compiler

Compiled 18939 to 2312 computations (87.8% saved)

prune120.0ms (1.7%)

Pruning

17 alts after pruning (7 fresh and 10 done)

PrunedKeptTotal
New117721179
Fresh055
Picked055
Done055
Total1177171194
Accuracy
100.0%
Counts
1194 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 v m))
25.2%
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
25.6%
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
73.6%
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
47.9%
(/.f64 (*.f64 m (*.f64 m (+.f64 m #s(literal -2 binary64)))) v)
48.1%
(/.f64 m (/.f64 v (*.f64 m m)))
51.4%
(/.f64 m v)
51.3%
(/.f64 #s(literal 1 binary64) (/.f64 v m))
51.4%
(+.f64 m (/.f64 m v))
77.7%
(+.f64 #s(literal -1 binary64) (/.f64 m v))
73.6%
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
51.3%
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
25.6%
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
48.1%
(*.f64 m (/.f64 m (/.f64 v m)))
48.2%
(*.f64 m (*.f64 (/.f64 m v) m))
47.9%
(*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v)))
24.9%
#s(literal -1 binary64)
Compiler

Compiled 440 to 172 computations (60.9% saved)

regimes31.0ms (0.4%)

Counts
33 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(+.f64 #s(literal -1 binary64) m)
(/.f64 m v)
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(+.f64 m (/.f64 m v))
(/.f64 #s(literal 1 binary64) (/.f64 v m))
(*.f64 m (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(/.f64 m (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v)))
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(/.f64 (*.f64 m (*.f64 m (+.f64 m #s(literal -2 binary64)))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 v m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)))
(*.f64 (/.f64 m v) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))
(*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)) v)
(/.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (+.f64 m #s(literal 1 binary64)))
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Calls

3 calls:

10.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
10.0ms
v
9.0ms
m
Results
AccuracySegmentsBranch
99.9%1m
99.9%1v
99.9%1(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Compiler

Compiled 21 to 12 computations (42.9% saved)

regimes20.0ms (0.3%)

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

2 calls:

10.0ms
v
8.0ms
m
Results
AccuracySegmentsBranch
99.9%1m
99.9%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts
28 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(+.f64 #s(literal -1 binary64) m)
(/.f64 m v)
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(+.f64 m (/.f64 m v))
(/.f64 #s(literal 1 binary64) (/.f64 v m))
(*.f64 m (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(/.f64 m (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v)))
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(/.f64 (*.f64 m (*.f64 m (+.f64 m #s(literal -2 binary64)))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 v m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)))
(*.f64 (/.f64 m v) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))
(*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Outputs
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Calls

2 calls:

8.0ms
m
8.0ms
v
Results
AccuracySegmentsBranch
99.9%1m
99.9%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.3%)

Counts
27 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(+.f64 #s(literal -1 binary64) m)
(/.f64 m v)
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(+.f64 m (/.f64 m v))
(/.f64 #s(literal 1 binary64) (/.f64 v m))
(*.f64 m (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(/.f64 m (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v)))
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(/.f64 (*.f64 m (*.f64 m (+.f64 m #s(literal -2 binary64)))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 v m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)))
(*.f64 (/.f64 m v) (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)))
(*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
(/.f64 (*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))) v)
Outputs
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)))
Calls

2 calls:

9.0ms
v
8.0ms
m
Results
AccuracySegmentsBranch
100.0%2m
81.0%2v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
22 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(+.f64 #s(literal -1 binary64) m)
(/.f64 m v)
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(+.f64 m (/.f64 m v))
(/.f64 #s(literal 1 binary64) (/.f64 v m))
(*.f64 m (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(/.f64 m (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v)))
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(/.f64 (*.f64 m (*.f64 m (+.f64 m #s(literal -2 binary64)))) v)
(/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 v m))
Outputs
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v)))
Calls

1 calls:

7.0ms
m
Results
AccuracySegmentsBranch
98.1%2m
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
18 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(+.f64 #s(literal -1 binary64) m)
(/.f64 m v)
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(+.f64 m (/.f64 m v))
(/.f64 #s(literal 1 binary64) (/.f64 v m))
(*.f64 m (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(/.f64 m (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v)))
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v)))
Calls

1 calls:

6.0ms
m
Results
AccuracySegmentsBranch
98.0%2m
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(+.f64 #s(literal -1 binary64) m)
(/.f64 m v)
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(+.f64 m (/.f64 m v))
(/.f64 #s(literal 1 binary64) (/.f64 v m))
(*.f64 m (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(/.f64 m (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(*.f64 m (*.f64 (/.f64 m v) m))
Calls

1 calls:

6.0ms
m
Results
AccuracySegmentsBranch
97.4%2m
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(+.f64 #s(literal -1 binary64) m)
(/.f64 m v)
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(+.f64 m (/.f64 m v))
(/.f64 #s(literal 1 binary64) (/.f64 v m))
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 m v))
Calls

2 calls:

3.0ms
m
3.0ms
v
Results
AccuracySegmentsBranch
77.7%1v
77.7%1m
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(+.f64 #s(literal -1 binary64) m)
(/.f64 m v)
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
Outputs
#s(literal -1 binary64)
(/.f64 m v)
Calls

2 calls:

2.0ms
v
2.0ms
m
Results
AccuracySegmentsBranch
67.4%2m
56.3%2v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(+.f64 #s(literal -1 binary64) m)
Outputs
(+.f64 #s(literal -1 binary64) m)
Calls

2 calls:

2.0ms
m
2.0ms
v
Results
AccuracySegmentsBranch
27.2%1v
27.2%1m
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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
v
1.0ms
m
Results
AccuracySegmentsBranch
24.9%1m
24.9%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch11.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
1.3312722294618595e-16
1.343501598385159e-15
Results
6.0ms96×0valid
Compiler

Compiled 176 to 108 computations (38.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (31.5% of total)
ival-sub: 1.0ms (31.5% of total)
ival-mult: 1.0ms (31.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.06146326949689722
6.384246845922769
Results
7.0ms112×0valid
Compiler

Compiled 188 to 124 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (51% of total)
ival-div: 1.0ms (25.5% of total)
ival-sub: 1.0ms (25.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.06146326949689722
6.384246845922769
Results
7.0ms112×0valid
Compiler

Compiled 160 to 110 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (52% of total)
ival-div: 1.0ms (26% of total)
ival-sub: 1.0ms (26% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.06146326949689722
6.384246845922769
Results
9.0ms112×0valid
Compiler

Compiled 146 to 96 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (53.4% of total)
ival-div: 1.0ms (26.7% of total)
ival-sub: 1.0ms (26.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
2.8142040533476728e-171
1.0693027920557344e-169
Results
7.0ms112×0valid
Compiler

Compiled 90 to 68 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (27.6% of total)
ival-sub: 1.0ms (27.6% of total)
ival-mult: 1.0ms (27.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
28×*-commutative_binary64
20×+-commutative_binary64
14×sub-neg_binary64
mul-1-neg_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046136
171136
280136
391136
492136
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(if (<=.f64 m #s(literal 2636713248474717/5070602400912917605986812821504 binary64)) (*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v))))
(if (<=.f64 m #s(literal 3602879701896397/2251799813685248 binary64)) (*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))))
(if (<=.f64 m #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))))
(if (<=.f64 m #s(literal 3422735716801577/9007199254740992 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 m (*.f64 (/.f64 m v) m)))
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(if (<=.f64 m #s(literal 1550073118236453/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) #s(literal -1 binary64) (/.f64 m v))
(+.f64 #s(literal -1 binary64) m)
#s(literal -1 binary64)
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v)) #s(literal -1 binary64)))
(if (<=.f64 m #s(literal 2636713248474717/5070602400912917605986812821504 binary64)) (*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v))))
(if (<=.f64 m #s(literal 2636713248474717/5070602400912917605986812821504 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 m v) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v))))
(if (<=.f64 m #s(literal 3602879701896397/2251799813685248 binary64)) (*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))))
(if (<=.f64 m #s(literal 3602879701896397/2251799813685248 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 m v) #s(literal -1 binary64))) (*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))))
(if (<=.f64 m #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))))
(if (<=.f64 m #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 (/.f64 m v) #s(literal -1 binary64)) (*.f64 m (*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))))
(if (<=.f64 m #s(literal 3422735716801577/9007199254740992 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 m (*.f64 (/.f64 m v) m)))
(if (<=.f64 m #s(literal 3422735716801577/9007199254740992 binary64)) (+.f64 (/.f64 m v) #s(literal -1 binary64)) (*.f64 m (*.f64 m (/.f64 m v))))
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(+.f64 (/.f64 m v) #s(literal -1 binary64))
(if (<=.f64 m #s(literal 1550073118236453/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) #s(literal -1 binary64) (/.f64 m v))
(+.f64 #s(literal -1 binary64) m)
(+.f64 m #s(literal -1 binary64))
#s(literal -1 binary64)

soundness1.7s (23.7%)

Rules
5168×*-lowering-*.f32
5168×*-lowering-*.f64
4202×/-lowering-/.f32
4202×/-lowering-/.f64
4040×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01789
111286
2118283
0845283
0107878
1333791
21006664
33739656
08186656
0837
14935
244735
3662333
0809833
01932308
16072075
217851820
368521820
081111820
01545
18144
267743
0869043
0951160
12891060
2812998
32838989
47294989
08064989
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 367 to 184 computations (49.9% saved)

preprocess83.0ms (1.1%)

Compiler

Compiled 306 to 106 computations (65.4% saved)

end0.0ms (0%)

Profiling

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