b parameter of renormalized beta distribution

Time bar (total: 7.8s)

analyze1.0ms (0%)

Algorithm
1×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)

sample968.0ms (12.4%)

Results
653.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 406.0ms
ival-mult: 118.0ms (29.1% of total)
ival-sub: 100.0ms (24.6% of total)
ival-<: 92.0ms (22.7% of total)
ival-div: 62.0ms (15.3% of total)
ival-and: 18.0ms (4.4% of total)
const: 13.0ms (3.2% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess197.0ms (2.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
02588
17175
224772
3104872
4584972
0813
11912
24812
313012
477012
5291612
6767612
0815512
Stop Event
1×iter limit
1×node limit
1×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))
(* (- 1 m) (fnmsub m (/ (+ m -1) v) 1))
(* (- (/ (* (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))
(* (- 1 m) (fnmsub (- 1 m) (/ m v) 1))
(neg (* (- (/ (* (neg m) (- 1 (neg m))) v) 1) (- 1 (neg m))))
(* (+ m 1) (fnmsub m (/ (- -1 m) v) -1))
(neg (* (- (/ (* m (- 1 m)) (neg v)) 1) (- 1 m)))
(* (- 1 m) (fnmsub m (/ (+ m -1) v) -1))
(* (- (/ (* v (- 1 v)) m) 1) (- 1 v))
(* (- 1 v) (+ -1 (/ (fnmadd v v v) m)))

explain74.0ms (0.9%)

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
42.0ms512×0valid
Compiler

Compiled 101 to 26 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (39.4% of total)
ival-sub: 6.0ms (33.7% of total)
ival-div: 4.0ms (22.5% of total)
const: 1.0ms (5.6% 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)

simplify134.0ms (1.7%)

Algorithm
1×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
313036
477036
5291636
6767636
0815536
Stop Event
1×iter limit
1×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

localize31.0ms (0.4%)

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))
✓accuracy99.9%
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
✓accuracy99.9%
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
Results
21.0ms256×0valid
Compiler

Compiled 43 to 9 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (46% of total)
ival-sub: 3.0ms (34.5% of total)
ival-div: 2.0ms (23% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (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
1.0ms
v
@0
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
1.0ms
m
@-inf
(- (/ (* m (- 1 m)) v) 1)
0.0ms
v
@inf
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
0.0ms
m
@inf
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
0.0ms
m
@0
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

rewrite482.0ms (6.2%)

Algorithm
1×batch-egg-rewrite
Rules
3444×*-lowering-*.f32
3444×*-lowering-*.f64
2524×/-lowering-/.f32
2524×/-lowering-/.f64
1166×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0837
14935
244535
3660533
0802233
Stop Event
1×iter limit
1×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 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #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 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)) (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #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 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64)) (*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64))))
(-.f64 (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #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 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)))
(fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)))
(fma.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)))
(fma.f64 (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #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 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (*.f64 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 m (+.f64 m #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (*.f64 v (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))))))) (*.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 v (*.f64 m (-.f64 #s(literal 1 binary64) m))))) (/.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 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (*.f64 v (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))))))) (+.f64 m #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (*.f64 v (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))))) (/.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 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (*.f64 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 v (-.f64 #s(literal 1 binary64) m))) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (*.f64 v (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))))))) (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (*.f64 v (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))))) (/.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 m (/.f64 v (-.f64 #s(literal 1 binary64) m)))) (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (*.f64 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 m (+.f64 m #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) (*.f64 m (*.f64 m m))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 m #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) (*.f64 m m)))))
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #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) (-.f64 #s(literal 1 binary64) m)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #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 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 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))))
(/.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 v (*.f64 m (-.f64 #s(literal 1 binary64) m))))) (/.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 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (*.f64 v (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))))))))
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(*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 m (-.f64 m #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 m #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) m)) v))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) m) v))
(*.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)))
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(+.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)))
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(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m)) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
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(/.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)))))
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(/.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))))
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(/.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)))))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)) #s(literal -1 binary64))
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(*.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)))))

simplify230.0ms (3%)

Algorithm
1×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
1333843
21004685
33734673
08183673
Stop Event
1×iter limit
1×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 (+.f64 #s(literal 1 binary64) (/.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) (/.f64 #s(literal 1 binary64) v)) (*.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 m (*.f64 m (*.f64 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 #s(literal 1 binary64) v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) m) v) m) (/.f64 #s(literal -2 binary64) (*.f64 m v))))))
(* (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 #s(literal 1 binary64) v) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) m) v) 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 m (*.f64 m (*.f64 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 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -1 binary64) m)) m) (/.f64 #s(literal -2 binary64) v)) m))))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.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 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v)) (+.f64 #s(literal -1 binary64) m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v)) (+.f64 #s(literal -1 binary64) m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v)) (+.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 (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v)) (+.f64 #s(literal -1 binary64) m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v)) (+.f64 #s(literal -1 binary64) m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v)) (+.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 14266 to 1317 computations (90.8% saved)

prune59.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New45110461
Fresh000
Picked101
Done000
Total45210462
Accuracy
100.0%
Counts
462 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64))))
55.3%
(/.f64 (*.f64 m (*.f64 m m)) v)
▶74.1%
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
24.0%
(+.f64 #s(literal -1 binary64) m)
▶78.4%
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
99.9%
(*.f64 (-.f64 (/.f64 (-.f64 m (*.f64 m m)) v) #s(literal 1 binary64)) (-.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))
▶44.1%
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
78.3%
(*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v))
▶21.3%
#s(literal -1 binary64)
Compiler

Compiled 220 to 132 computations (40% saved)

simplify173.0ms (2.2%)

Algorithm
1×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
2112108
3392104
41514104
55916104
08386104
Stop Event
1×iter limit
1×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 m #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v (+.f64 m #s(literal -1 binary64))))))
(- (/ 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

localize70.0ms (0.9%)

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))
✓accuracy99.9%
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
✓accuracy99.9%
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
✓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 m (/.f64 v (-.f64 #s(literal 1 binary64) m)))
✓accuracy99.9%
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Results
47.0ms256×0valid
Compiler

Compiled 114 to 18 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 9.0ms (40.8% of total)
ival-mult: 6.0ms (27.2% of total)
ival-sub: 4.0ms (18.2% of total)
ival-add: 2.0ms (9.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (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
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
@-inf
(/ v (- 1 m))
0.0ms
v
@0
(/ v (- 1 m))

rewrite343.0ms (4.4%)

Algorithm
1×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
2117884
0841584
Stop Event
1×iter limit
1×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 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (/.f64 m v)) (-.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 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (/.f64 m v)) (-.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 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (/.f64 m v)) (-.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 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (/.f64 m v)) (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64))) (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (/.f64 m v)) (-.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 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) (/.f64 m v)) (-.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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(*.f64 (-.f64 #s(literal 1 binary64) m) m)

simplify225.0ms (2.9%)

Algorithm
1×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
16072171
217831859
368481859
081061859
Stop Event
1×iter limit
1×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 #s(literal -1 binary64) (+.f64 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 #s(literal 1 binary64) v) (+.f64 (/.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 m (*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 (+.f64 (/.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) (*.f64 m v)) (+.f64 (/.f64 #s(literal 1 binary64) m) (/.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 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 (-.f64 #s(literal 0 binary64) (*.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 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 (*.f64 m 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 (-.f64 #s(literal 0 binary64) (*.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 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 (*.f64 m 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 (*.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 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) (*.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)
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(* (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))

eval175.0ms (2.3%)

Compiler

Compiled 30251 to 2998 computations (90.1% saved)

prune140.0ms (1.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1366121378
Fresh415
Picked325
Done000
Total1373151388
Accuracy
100.0%
Counts
1388 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.3%
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m)))
▶22.6%
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
55.3%
(/.f64 (*.f64 m (*.f64 m m)) v)
▶52.6%
(/.f64 m v)
52.6%
(+.f64 m (/.f64 m v))
74.1%
(+.f64 #s(literal -1 binary64) (/.f64 m v))
74.0%
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 #s(literal 1 binary64) (/.f64 v m))))
▶78.4%
(*.f64 (/.f64 (+.f64 m (*.f64 (-.f64 #s(literal 0 binary64) m) m)) v) (-.f64 #s(literal 1 binary64) m))
✓78.4%
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
22.6%
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
78.3%
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)) m)))
23.2%
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
78.3%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal 1 binary64) v))
▶55.3%
(*.f64 m (/.f64 (*.f64 m m) v))
✓21.3%
#s(literal -1 binary64)
Compiler

Compiled 290 to 178 computations (38.6% saved)

simplify135.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 v m)
✓cost-diff0
(/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m))
✓cost-diff0
(-.f64 #s(literal 1 binary64) m)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m)))
✓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 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 (-.f64 #s(literal 0 binary64) m) m)
✓cost-diff128
(+.f64 m (*.f64 (-.f64 #s(literal 0 binary64) m) m))
✓cost-diff128
(/.f64 (+.f64 m (*.f64 (-.f64 #s(literal 0 binary64) m) m)) v)
✓cost-diff128
(*.f64 (/.f64 (+.f64 m (*.f64 (-.f64 #s(literal 0 binary64) m) m)) v) (-.f64 #s(literal 1 binary64) m))
Rules
1556×fma-define
1446×*-lowering-*.f32
1446×*-lowering-*.f64
1212×--lowering--.f32
1212×--lowering--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019109
146101
212394
338394
4200394
5581994
6760394
0816994
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (+ m (* (- 0 m) m)) v) (- 1 m))
(/ (+ m (* (- 0 m) m)) v)
(+ m (* (- 0 m) m))
m
(* (- 0 m) m)
(- 0 m)
0
v
(- 1 m)
1
(/ m v)
m
v
(* m (/ (* m m) v))
m
(/ (* m m) v)
(* m m)
v
(/ (* m (- 1 m)) v)
(* m (- 1 m))
m
(- 1 m)
1
v
(/ (- 1 m) (/ (/ v m) (- 1 m)))
(- 1 m)
1
m
(/ (/ v m) (- 1 m))
(/ v m)
v
Outputs
(* (/ (+ m (* (- 0 m) m)) v) (- 1 m))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (-.f64 #s(literal 1 binary64) m)))
(/ (+ m (* (- 0 m) m)) v)
(/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m)))
(+ m (* (- 0 m) m))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
m
(* (- 0 m) m)
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(- 0 m)
(-.f64 #s(literal 0 binary64) m)
0
#s(literal 0 binary64)
v
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
1
#s(literal 1 binary64)
(/ m v)
(/.f64 m v)
m
v
(* m (/ (* m m) v))
(*.f64 m (/.f64 m (/.f64 v m)))
m
(/ (* m m) v)
(/.f64 m (/.f64 v m))
(* m m)
(*.f64 m m)
v
(/ (* 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
(/ (- 1 m) (/ (/ v m) (- 1 m)))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (-.f64 #s(literal 1 binary64) m)))
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
1
#s(literal 1 binary64)
m
(/ (/ v m) (- 1 m))
(/.f64 (/.f64 v (-.f64 #s(literal 1 binary64) m)) m)
(/ v m)
(/.f64 v m)
v

localize77.0ms (1%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 v m)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) m)
✓accuracy100.0%
(/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m))
✓accuracy99.7%
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) m)
✓accuracy100.0%
(*.f64 m (-.f64 #s(literal 1 binary64) m))
✓accuracy99.9%
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
✓accuracy100.0%
(*.f64 m m)
✓accuracy99.9%
(*.f64 m (/.f64 (*.f64 m m) v))
✓accuracy86.6%
(/.f64 (*.f64 m m) v)
✓accuracy100.0%
(/.f64 m v)
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 0 binary64) m) m)
✓accuracy100.0%
(+.f64 m (*.f64 (-.f64 #s(literal 0 binary64) m) m))
✓accuracy99.9%
(*.f64 (/.f64 (+.f64 m (*.f64 (-.f64 #s(literal 0 binary64) m) m)) v) (-.f64 #s(literal 1 binary64) m))
✓accuracy99.9%
(/.f64 (+.f64 m (*.f64 (-.f64 #s(literal 0 binary64) m) m)) v)
Results
53.0ms256×0valid
Compiler

Compiled 114 to 20 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 12.0ms (43.2% of total)
ival-mult: 11.0ms (39.6% of total)
ival-sub: 3.0ms (10.8% of total)
ival-add: 1.0ms (3.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series16.0ms (0.2%)

Counts
14 → 276
Calls
Call 1
Inputs
#<alt (* (/ (+ m (* (- 0 m) m)) v) (- 1 m))>
#<alt (/ (+ m (* (- 0 m) m)) v)>
#<alt (+ m (* (- 0 m) m))>
#<alt (* (- 0 m) m)>
#<alt (/ m v)>
#<alt (* m (/ (* m m) v))>
#<alt (/ (* m m) v)>
#<alt (* m m)>
#<alt (/ (* m (- 1 m)) v)>
#<alt (* m (- 1 m))>
#<alt (- 1 m)>
#<alt (/ (- 1 m) (/ (/ v m) (- 1 m)))>
#<alt (/ (/ v m) (- 1 m))>
#<alt (/ v 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 (* -1 (pow m 2))) (- 1 m)) v)>
#<alt (/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)>
#<alt (/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)>
#<alt (/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)>
#<alt (/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)>
#<alt (/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)>
#<alt (/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)>
#<alt (/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)>
#<alt (/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)>
#<alt (/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)>
#<alt (/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)>
#<alt (/ (* (+ m (* -1 (pow m 2))) (- 1 m)) 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 (pow m 2))) v)>
#<alt (/ (+ m (* -1 (pow m 2))) v)>
#<alt (/ (+ m (* -1 (pow m 2))) v)>
#<alt (/ (+ m (* -1 (pow m 2))) v)>
#<alt (/ (+ m (* -1 (pow m 2))) v)>
#<alt (/ (+ m (* -1 (pow m 2))) v)>
#<alt (/ (+ m (* -1 (pow m 2))) v)>
#<alt (/ (+ m (* -1 (pow m 2))) v)>
#<alt (/ (+ m (* -1 (pow m 2))) v)>
#<alt (/ (+ m (* -1 (pow m 2))) v)>
#<alt (/ (+ m (* -1 (pow m 2))) v)>
#<alt (/ (+ m (* -1 (pow m 2))) 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 (pow m 2))>
#<alt (* -1 (pow m 2))>
#<alt (* -1 (pow m 2))>
#<alt (* -1 (pow m 2))>
#<alt (* -1 (pow m 2))>
#<alt (* -1 (pow m 2))>
#<alt (* -1 (pow m 2))>
#<alt (* -1 (pow m 2))>
#<alt (* -1 (pow m 2))>
#<alt (* -1 (pow m 2))>
#<alt (* -1 (pow m 2))>
#<alt (* -1 (pow m 2))>
#<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 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))))>
#<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 (/ v (* m (- 1 m)))>
#<alt (/ v (* m (- 1 m)))>
#<alt (/ v (* m (- 1 m)))>
#<alt (/ v (* m (- 1 m)))>
#<alt (/ v (* m (- 1 m)))>
#<alt (/ v (* m (- 1 m)))>
#<alt (/ v (* m (- 1 m)))>
#<alt (/ v (* m (- 1 m)))>
#<alt (/ v (* m (- 1 m)))>
#<alt (/ v (* m (- 1 m)))>
#<alt (/ v (* m (- 1 m)))>
#<alt (/ v (* m (- 1 m)))>
#<alt (/ v m)>
#<alt (/ (+ v (* m v)) m)>
#<alt (/ (+ v (* m (- (* m v) (* -1 v)))) m)>
#<alt (/ (+ v (* m (- (* m (- (* m v) (* -1 v))) (* -1 v)))) m)>
#<alt (* -1 (/ v (pow m 2)))>
#<alt (/ (+ (* -1 v) (* -1 (/ v m))) (pow m 2))>
#<alt (/ (- (+ (* -1 v) (* -1 (/ v (pow m 2)))) (/ v m)) (pow m 2))>
#<alt (/ (- (+ (* -1 v) (* -1 (/ v (pow m 3)))) (+ (/ v m) (/ v (pow m 2)))) (pow m 2))>
#<alt (* -1 (/ v (pow m 2)))>
#<alt (/ (+ (* -1 v) (* -1 (/ v m))) (pow m 2))>
#<alt (/ (+ (* -1 v) (* -1 (/ (+ v (/ v m)) m))) (pow m 2))>
#<alt (/ (+ (* -1 v) (* -1 (/ (+ v (* -1 (/ (+ (* -1 v) (* -1 (/ v m))) m))) m))) (pow m 2))>
#<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)>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
v
@-inf
(* (/ (+ m (* (- 0 m) m)) v) (- 1 m))
1.0ms
v
@0
(* (/ (+ m (* (- 0 m) m)) v) (- 1 m))
1.0ms
v
@0
(* m (/ (* m m) v))
0.0ms
v
@inf
(* (/ (+ m (* (- 0 m) m)) v) (- 1 m))
0.0ms
v
@0
(/ (/ v m) (- 1 m))

rewrite311.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
3594×/-lowering-/.f32
3594×/-lowering-/.f64
3400×*-lowering-*.f32
3400×*-lowering-*.f64
1806×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01987
111479
2100070
0905770
Stop Event
1×iter limit
1×node limit
Counts
14 → 1568
Calls
Call 1
Inputs
(* (/ (+ m (* (- 0 m) m)) v) (- 1 m))
(/ (+ m (* (- 0 m) m)) v)
(+ m (* (- 0 m) m))
(* (- 0 m) m)
(/ m v)
(* m (/ (* m m) v))
(/ (* m m) v)
(* m m)
(/ (* m (- 1 m)) v)
(* m (- 1 m))
(- 1 m)
(/ (- 1 m) (/ (/ v m) (- 1 m)))
(/ (/ v m) (- 1 m))
(/ v m)
Outputs
(+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (-.f64 #s(literal 1 binary64) m))) (fma.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) (/.f64 m v) (/.f64 m (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))))))
(+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (-.f64 #s(literal 1 binary64) m))) (fma.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 m (/.f64 v m)) (/.f64 m (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))))))
(+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(+.f64 (/.f64 m (/.f64 v (-.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 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (*.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64)))))))
(+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (*.f64 #s(literal 1 binary64) (/.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 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m (-.f64 #s(literal 0 binary64) m))))
(+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (*.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (*.f64 (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal -1 binary64) m)) #s(literal 1 binary64)))
(+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (*.f64 (*.f64 m (-.f64 #s(literal 0 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v)))
(+.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))
(+.f64 (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal -1 binary64) m)) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))
(+.f64 (fma.f64 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))) (fma.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) m (*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) m)))
(+.f64 (fma.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v) (neg.f64 (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m)))))) (fma.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))) (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))))))
(+.f64 (fma.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal -1 binary64) m))) (fma.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) m (*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) m)))
(+.f64 (fma.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 #s(literal 1 binary64) v) (neg.f64 (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m)))))) (fma.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))) (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal -1 binary64) m))) (fma.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) m (*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) m)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (neg.f64 (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m)))))) (fma.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))) (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))))))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v) (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal -1 binary64) m))) (fma.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) m (*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) m)))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v) (neg.f64 (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m)))))) (fma.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))) (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))))))
(+.f64 (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal -1 binary64) m))) (fma.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) m (*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) m)))
(+.f64 (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) (neg.f64 (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m)))))) (fma.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))) (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))))))
(+.f64 (fma.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) v) (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal -1 binary64) m))) (fma.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) m (*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) m)))
(+.f64 (fma.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) v) (neg.f64 (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m)))))) (fma.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))) (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal -1 binary64) m))) (fma.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) m (*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) m)))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (-.f64 #s(literal 1 binary64) m)) (neg.f64 (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m)))))) (fma.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))) (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))))))
(+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal -1 binary64) m))) (fma.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) m (*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) m)))
(+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m (neg.f64 (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m)))))) (fma.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))) (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 m v)) (+.f64 m #s(literal -1 binary64)) (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal -1 binary64) m))) (fma.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) m (*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) m)))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 m v)) (+.f64 m #s(literal -1 binary64)) (neg.f64 (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m)))))) (fma.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))) (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))))))
(+.f64 (fma.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) v) (-.f64 #s(literal 0 binary64) m) (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal -1 binary64) m))) (fma.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) m (*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) m)))
(+.f64 (fma.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) v) (-.f64 #s(literal 0 binary64) m) (neg.f64 (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m)))))) (fma.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))) (*.f64 (+.f64 m #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))))))
(+.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal 0 binary64)) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (-.f64 #s(literal 1 binary64) m))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m (-.f64 #s(literal 0 binary64) m))) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))
(+.f64 (*.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) m))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m)))) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (-.f64 #s(literal 1 binary64) m))))
(+.f64 (*.f64 (*.f64 m (-.f64 #s(literal 0 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v)) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))
(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)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(-.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 m (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (/.f64 (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (/.f64 (/.f64 (*.f64 m m) (+.f64 m #s(literal 1 binary64))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))) (/.f64 (*.f64 m (*.f64 m m)) (*.f64 (/.f64 v (*.f64 m (-.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 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (+.f64 m #s(literal 1 binary64)))) (/.f64 (*.f64 m m) (*.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (+.f64 m #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))) (/.f64 (*.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) m) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))))
(-.f64 (/.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m)))) (/.f64 v (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))) (/.f64 (*.f64 v m) (/.f64 v (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))))
(-.f64 (/.f64 (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m)))) (/.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))) (/.f64 (neg.f64 (*.f64 v m)) (/.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))))))
(-.f64 (/.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))))) (+.f64 (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (+.f64 (/.f64 (/.f64 m (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) m)) (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) m))))) (/.f64 (*.f64 (/.f64 m (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (/.f64 (/.f64 m (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) m))) (+.f64 (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (+.f64 (/.f64 (/.f64 m (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) m)) (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) m))))))
(-.f64 (/.f64 (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (*.f64 (/.f64 m v) (+.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))))) (/.f64 (/.f64 (/.f64 m (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) m)) (*.f64 (/.f64 m v) (+.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))))))
(fma.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 #s(literal 1 binary64) v) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) v) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal 1 binary64) (/.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal -1 binary64) m)))
(fma.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 m v)) (+.f64 m #s(literal -1 binary64)) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) v) (-.f64 #s(literal 0 binary64) m) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(neg.f64 (*.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) (-.f64 #s(literal 1 binary64) m)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64)))))))
(neg.f64 (+.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) (/.f64 m (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))))))
(neg.f64 (/.f64 (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v m)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m))))
(neg.f64 (/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 0 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)))))
(neg.f64 (/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (+.f64 m #s(literal -1 binary64))) v))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 0 binary64) (/.f64 v m))))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 v (-.f64 #s(literal 1 binary64) m)))
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(*.f64 (/.f64 #s(literal 1 binary64) m) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 v m)))
(*.f64 (/.f64 v (*.f64 m (*.f64 m m))) (*.f64 m m))
(*.f64 (/.f64 #s(literal -1 binary64) m) (-.f64 #s(literal 0 binary64) v))
(*.f64 (/.f64 #s(literal -1 binary64) m) (pow.f64 (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) (/.f64 v (/.f64 #s(literal 1 binary64) m)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) m))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) m))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 m (*.f64 m m)))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 m m))))
(*.f64 (pow.f64 (/.f64 m v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 m v) #s(literal -1/2 binary64)))

simplify215.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
3002×*-lowering-*.f32
3002×*-lowering-*.f64
1760×fnmsub-define
1752×+-lowering-+.f64
1752×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01071834
13211578
28861562
335141556
084791556
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
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 (* -1 (pow m 2))) (- 1 m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) 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 (pow m 2))) v)
(/ (+ m (* -1 (pow m 2))) v)
(/ (+ m (* -1 (pow m 2))) v)
(/ (+ m (* -1 (pow m 2))) v)
(/ (+ m (* -1 (pow m 2))) v)
(/ (+ m (* -1 (pow m 2))) v)
(/ (+ m (* -1 (pow m 2))) v)
(/ (+ m (* -1 (pow m 2))) v)
(/ (+ m (* -1 (pow m 2))) v)
(/ (+ m (* -1 (pow m 2))) v)
(/ (+ m (* -1 (pow m 2))) v)
(/ (+ m (* -1 (pow m 2))) 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 (pow m 2))
(* -1 (pow m 2))
(* -1 (pow m 2))
(* -1 (pow m 2))
(* -1 (pow m 2))
(* -1 (pow m 2))
(* -1 (pow m 2))
(* -1 (pow m 2))
(* -1 (pow m 2))
(* -1 (pow m 2))
(* -1 (pow m 2))
(* -1 (pow m 2))
(/ 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)
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))))
(/ 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)
(/ 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)
(/ (+ v (* m v)) m)
(/ (+ v (* m (- (* m v) (* -1 v)))) m)
(/ (+ v (* m (- (* m (- (* m v) (* -1 v))) (* -1 v)))) m)
(* -1 (/ v (pow m 2)))
(/ (+ (* -1 v) (* -1 (/ v m))) (pow m 2))
(/ (- (+ (* -1 v) (* -1 (/ v (pow m 2)))) (/ v m)) (pow m 2))
(/ (- (+ (* -1 v) (* -1 (/ v (pow m 3)))) (+ (/ v m) (/ v (pow m 2)))) (pow m 2))
(* -1 (/ v (pow m 2)))
(/ (+ (* -1 v) (* -1 (/ v m))) (pow m 2))
(/ (+ (* -1 v) (* -1 (/ (+ v (/ v m)) m))) (pow m 2))
(/ (+ (* -1 v) (* -1 (/ (+ v (* -1 (/ (+ (* -1 v) (* -1 (/ v m))) m))) m))) (pow m 2))
(/ 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)
Outputs
(/ m v)
(/.f64 m v)
(* m (+ (* -2 (/ m v)) (/ 1 v)))
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal -2 binary64) m)))))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.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))) (/ 2 (* m v))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal -2 binary64) v)) m)))
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal -2 binary64) v)) 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 v)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal -2 binary64) v)) m)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 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 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal -2 binary64) v)) m)))
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* (+ m (* -1 (pow m 2))) (- 1 m)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) 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 (pow m 2))) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (+ m (* -1 (pow m 2))) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (+ m (* -1 (pow m 2))) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (+ m (* -1 (pow m 2))) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (+ m (* -1 (pow m 2))) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (+ m (* -1 (pow m 2))) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (+ m (* -1 (pow m 2))) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (+ m (* -1 (pow m 2))) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (+ m (* -1 (pow m 2))) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (+ m (* -1 (pow m 2))) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (+ m (* -1 (pow m 2))) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (+ m (* -1 (pow m 2))) 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 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m m))
(* -1 (pow m 2))
(-.f64 #s(literal 0 binary64) (*.f64 m 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)
(/ (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 (*.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)
(/ m v)
(/.f64 m v)
(* m (+ (* -2 (/ m v)) (/ 1 v)))
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal -2 binary64) m)))))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.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))) (/ 2 (* m v))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal -2 binary64) v)) m)))
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal -2 binary64) v)) 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 v)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal -2 binary64) v)) m)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 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 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal -2 binary64) v)) m)))
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/ v (* m (- 1 m)))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
(/ v (* m (- 1 m)))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
(/ v (* m (- 1 m)))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
(/ v (* m (- 1 m)))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
(/ v (* m (- 1 m)))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
(/ v (* m (- 1 m)))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
(/ v (* m (- 1 m)))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
(/ v (* m (- 1 m)))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
(/ v (* m (- 1 m)))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
(/ v (* m (- 1 m)))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
(/ v (* m (- 1 m)))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
(/ v (* m (- 1 m)))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
(/ v m)
(/.f64 v m)
(/ (+ v (* m v)) m)
(*.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) m)))
(/ (+ v (* m (- (* m v) (* -1 v)))) m)
(/.f64 (*.f64 v (+.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) #s(literal 1 binary64))) m)
(/ (+ v (* m (- (* m (- (* m v) (* -1 v))) (* -1 v)))) m)
(/.f64 (+.f64 v (*.f64 m (*.f64 v (+.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) #s(literal 1 binary64))))) m)
(* -1 (/ v (pow m 2)))
(-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 m m)))
(/ (+ (* -1 v) (* -1 (/ v m))) (pow m 2))
(/.f64 (*.f64 v (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) m))) (*.f64 m m))
(/ (- (+ (* -1 v) (* -1 (/ v (pow m 2)))) (/ v m)) (pow m 2))
(/.f64 (-.f64 (/.f64 (*.f64 v (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) m))) m) v) (*.f64 m m))
(/ (- (+ (* -1 v) (* -1 (/ v (pow m 3)))) (+ (/ v m) (/ v (pow m 2)))) (pow m 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 v (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) m))) m) v) m) v) (*.f64 m m))
(* -1 (/ v (pow m 2)))
(-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 m m)))
(/ (+ (* -1 v) (* -1 (/ v m))) (pow m 2))
(/.f64 (*.f64 v (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) m))) (*.f64 m m))
(/ (+ (* -1 v) (* -1 (/ (+ v (/ v m)) m))) (pow m 2))
(/.f64 (-.f64 (/.f64 (*.f64 v (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) m))) m) v) (*.f64 m m))
(/ (+ (* -1 v) (* -1 (/ (+ v (* -1 (/ (+ (* -1 v) (* -1 (/ v m))) m))) m))) (pow m 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 v (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) m))) m) v) m) v) (*.f64 m 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)
(/ v m)
(/.f64 v m)

eval233.0ms (3%)

Compiler

Compiled 45161 to 3278 computations (92.7% saved)

prune189.0ms (2.4%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New204772054
Fresh358
Picked145
Done112
Total2052172069
Accuracy
100.0%
Counts
2069 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓78.3%
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m)))
78.4%
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)) (/.f64 m v)))
✓22.6%
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
55.3%
(/.f64 (*.f64 m (*.f64 m m)) v)
▶55.3%
(/.f64 m (/.f64 v (*.f64 m m)))
✓52.6%
(/.f64 m v)
52.5%
(/.f64 #s(literal 1 binary64) (/.f64 v m))
▶52.6%
(+.f64 m (/.f64 m v))
74.1%
(+.f64 #s(literal -1 binary64) (/.f64 m v))
▶78.4%
(*.f64 (/.f64 (-.f64 m (*.f64 m m)) v) (-.f64 #s(literal 1 binary64) m))
22.5%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m)
▶22.6%
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
▶52.5%
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
23.2%
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
55.3%
(*.f64 (*.f64 m (*.f64 m m)) (/.f64 #s(literal 1 binary64) v))
✓55.3%
(*.f64 m (/.f64 (*.f64 m m) v))
✓21.3%
#s(literal -1 binary64)
Compiler

Compiled 267 to 168 computations (37.1% saved)

simplify130.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 m m)
✓cost-diff0
(/.f64 v (*.f64 m m))
✓cost-diff0
(/.f64 m (/.f64 v (*.f64 m m)))
✓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 v)
✓cost-diff0
(+.f64 m (/.f64 m v))
✓cost-diff0
(/.f64 #s(literal 1 binary64) v)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
✓cost-diff0
(*.f64 m m)
✓cost-diff0
(-.f64 m (*.f64 m m))
✓cost-diff0
(/.f64 (-.f64 m (*.f64 m m)) v)
✓cost-diff0
(*.f64 (/.f64 (-.f64 m (*.f64 m m)) v) (-.f64 #s(literal 1 binary64) m))
Rules
1788×sum3-define
1638×*-lowering-*.f32
1638×*-lowering-*.f64
1542×fma-lowering-fma.f32
1542×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01586
13983
28777
331177
495277
5396477
0808477
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (- m (* m m)) v) (- 1 m))
(/ (- m (* m m)) v)
(- m (* m m))
m
(* m m)
v
(- 1 m)
1
(* (/ 1 v) m)
(/ 1 v)
1
v
m
(+ m (/ m v))
m
(/ m v)
v
(* (/ m v) (- 1 m))
(/ m v)
m
v
(- 1 m)
1
(/ m (/ v (* m m)))
m
(/ v (* m m))
v
(* m m)
Outputs
(* (/ (- m (* m m)) v) (- 1 m))
(*.f64 m (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (-.f64 #s(literal 1 binary64) m) v)))
(/ (- m (* m m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(- m (* m m))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
m
(* m m)
(*.f64 m m)
v
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
1
#s(literal 1 binary64)
(* (/ 1 v) m)
(/.f64 m v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
v
m
(+ m (/ m v))
(+.f64 m (/.f64 m v))
m
(/ m v)
(/.f64 m v)
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 (/ v (* m m)))
(/.f64 m (/.f64 v (*.f64 m m)))
m
(/ v (* m m))
(/.f64 v (*.f64 m m))
v
(* m m)
(*.f64 m m)

localize71.0ms (0.9%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 m m)
✓accuracy99.9%
(/.f64 m (/.f64 v (*.f64 m m)))
✓accuracy86.7%
(/.f64 v (*.f64 m m))
✓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 v)
✓accuracy100.0%
(+.f64 m (/.f64 m v))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) v)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
✓accuracy100.0%
(*.f64 m m)
✓accuracy100.0%
(-.f64 m (*.f64 m m))
✓accuracy99.9%
(*.f64 (/.f64 (-.f64 m (*.f64 m m)) v) (-.f64 #s(literal 1 binary64) m))
✓accuracy99.9%
(/.f64 (-.f64 m (*.f64 m m)) v)
Results
51.0ms256×0valid
Compiler

Compiled 89 to 16 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 8.0ms (40.7% of total)
ival-mult: 7.0ms (35.6% of total)
ival-sub: 3.0ms (15.3% of total)
ival-add: 1.0ms (5.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
12 → 240
Calls
Call 1
Inputs
#<alt (* (/ (- m (* m m)) v) (- 1 m))>
#<alt (/ (- m (* m m)) v)>
#<alt (- m (* m m))>
#<alt (* m m)>
#<alt (* (/ 1 v) m)>
#<alt (/ 1 v)>
#<alt (+ m (/ m v))>
#<alt (/ m v)>
#<alt (* (/ m v) (- 1 m))>
#<alt (- 1 m)>
#<alt (/ m (/ v (* m m)))>
#<alt (/ v (* m 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 (/ (* (- 1 m) (- m (pow m 2))) v)>
#<alt (/ (* (- 1 m) (- m (pow m 2))) v)>
#<alt (/ (* (- 1 m) (- m (pow m 2))) v)>
#<alt (/ (* (- 1 m) (- m (pow m 2))) v)>
#<alt (/ (* (- 1 m) (- m (pow m 2))) v)>
#<alt (/ (* (- 1 m) (- m (pow m 2))) v)>
#<alt (/ (* (- 1 m) (- m (pow m 2))) v)>
#<alt (/ (* (- 1 m) (- m (pow m 2))) v)>
#<alt (/ (* (- 1 m) (- m (pow m 2))) v)>
#<alt (/ (* (- 1 m) (- m (pow m 2))) v)>
#<alt (/ (* (- 1 m) (- m (pow m 2))) v)>
#<alt (/ (* (- 1 m) (- m (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 (pow m 2)) v)>
#<alt (/ (- m (pow m 2)) v)>
#<alt (/ (- m (pow m 2)) v)>
#<alt (/ (- m (pow m 2)) v)>
#<alt (/ (- m (pow m 2)) v)>
#<alt (/ (- m (pow m 2)) v)>
#<alt (/ (- m (pow m 2)) v)>
#<alt (/ (- m (pow m 2)) v)>
#<alt (/ (- m (pow m 2)) v)>
#<alt (/ (- m (pow m 2)) v)>
#<alt (/ (- m (pow m 2)) v)>
#<alt (/ (- m (pow m 2)) 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 (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 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 (+ 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 (/ 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 (/ (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 (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
#<alt (/ v (pow m 2))>
Calls

60 calls:

TimeVariablePointExpression
6.0ms
v
@0
(* (/ (- m (* m m)) v) (- 1 m))
0.0ms
v
@inf
(* (/ (- m (* m m)) v) (- 1 m))
0.0ms
v
@-inf
(/ v (* m m))
0.0ms
v
@-inf
(* (/ (- m (* m m)) v) (- 1 m))
0.0ms
v
@0
(/ v (* m m))

rewrite322.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
4518×*-lowering-*.f32
4518×*-lowering-*.f64
3966×/-lowering-/.f32
3966×/-lowering-/.f64
1646×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561
19759
292355
0910455
Stop Event
1×iter limit
1×node limit
Counts
12 → 1005
Calls
Call 1
Inputs
(* (/ (- m (* m m)) v) (- 1 m))
(/ (- m (* m m)) v)
(- m (* m m))
(* m m)
(* (/ 1 v) m)
(/ 1 v)
(+ m (/ m v))
(/ m v)
(* (/ m v) (- 1 m))
(- 1 m)
(/ m (/ v (* m m)))
(/ v (* m m))
Outputs
(+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (*.f64 (/.f64 m v) (*.f64 m (-.f64 m #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 v m)))
(+.f64 (/.f64 m v) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))) (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 v m))))
(+.f64 (*.f64 (/.f64 m v) (*.f64 m (-.f64 m #s(literal 1 binary64)))) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))
(+.f64 (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 v m)) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (/.f64 m (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))))
(-.f64 (/.f64 m v) (-.f64 (/.f64 m (/.f64 v m)) (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 v m))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (/.f64 (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (/.f64 (/.f64 (*.f64 m m) (+.f64 m #s(literal 1 binary64))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))))
(fma.f64 m (*.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) m)) (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 v m)))
(fma.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v) (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 v m)))
(fma.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 #s(literal 1 binary64) v) (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 v m)))
(fma.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64) (*.f64 (/.f64 m v) (*.f64 m (-.f64 m #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 v m)))
(fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v) (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 v m)))
(fma.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 v m)))
(fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 v m)))
(fma.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) v) (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 v m)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (/.f64 v m)))
(neg.f64 (*.f64 (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) v) (-.f64 #s(literal 1 binary64) m)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) v)))
(neg.f64 (*.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) (/.f64 #s(literal -1 binary64) v)))
(neg.f64 (/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 0 binary64) v)))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 m #s(literal 1 binary64)))) v))
(/.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)))
(/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (+.f64 m #s(literal 1 binary64))) (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) (*.f64 m m)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (+.f64 m #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 m m))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (*.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 m #s(literal 1 binary64)))) (*.f64 (*.f64 m (-.f64 m #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 m m)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) v) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (*.f64 m (-.f64 #s(literal 1 binary64) m)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) v)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (*.f64 m (-.f64 m #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 m #s(literal 1 binary64)) v) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (*.f64 m (-.f64 #s(literal 1 binary64) m)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)) (-.f64 #s(literal 1 binary64) (*.f64 m m))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (+.f64 m #s(literal 1 binary64)) v)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (*.f64 m (-.f64 m #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 m (-.f64 #s(literal 1 binary64) m)) v) (-.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 m (-.f64 #s(literal 1 binary64) m)) v) (-.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 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))))))
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (*.f64 (/.f64 v (*.f64 m (-.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 (*.f64 m m))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #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 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (+.f64 m #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))
(/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 1 binary64) m)) v)
(/.f64 (*.f64 (*.f64 m (-.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))))))
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(/.f64 (/.f64 m v) (/.f64 #s(literal 1 binary64) (*.f64 m m)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 m (*.f64 m m)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) (-.f64 #s(literal 0 binary64) (/.f64 v m)))
(/.f64 (-.f64 #s(literal 0 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 m m))))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 0 binary64) (*.f64 m m))) (-.f64 #s(literal 0 binary64) v))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 m v)) (/.f64 #s(literal -1 binary64) (*.f64 m m)))
(/.f64 (*.f64 (*.f64 m m) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v m)))
(/.f64 (neg.f64 (*.f64 m (-.f64 #s(literal 0 binary64) (*.f64 m m)))) v)
(pow.f64 (/.f64 v (*.f64 m (*.f64 m m))) #s(literal -1 binary64))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 m v))
(*.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v (*.f64 m m))))
(*.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 m (*.f64 m m)))
(*.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) m) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 m (/.f64 #s(literal 1 binary64) (*.f64 m m))))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (*.f64 m m) (/.f64 #s(literal 1 binary64) m)))
(*.f64 (/.f64 m v) (*.f64 m m))
(*.f64 (/.f64 m v) (/.f64 m (/.f64 #s(literal 1 binary64) m)))
(*.f64 (/.f64 m (/.f64 v (*.f64 m m))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 m (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 m m)))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 m (*.f64 m m))))
(*.f64 (-.f64 #s(literal 0 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))))
(*.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (/.f64 m (/.f64 v m)) (pow.f64 (/.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)))
(*.f64 (*.f64 m (*.f64 m m)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))) (-.f64 #s(literal 0 binary64) m))
(*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 m (-.f64 #s(literal 0 binary64) (*.f64 m m))))
(*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 m (/.f64 #s(literal -1 binary64) (*.f64 m m))))
(*.f64 (*.f64 m (-.f64 #s(literal 0 binary64) (*.f64 m m))) (/.f64 #s(literal -1 binary64) v))
(*.f64 (pow.f64 v #s(literal -1/2 binary64)) (*.f64 (pow.f64 v #s(literal -1/2 binary64)) (*.f64 m (*.f64 m m))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 m v)) (-.f64 #s(literal 0 binary64) (*.f64 m m)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 m v)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 m m))))
(*.f64 (/.f64 m (/.f64 #s(literal 1 binary64) (*.f64 m m))) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) (/.f64 m (/.f64 #s(literal 1 binary64) (*.f64 m m))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) m) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))))
(*.f64 (/.f64 (pow.f64 m #s(literal 3/2 binary64)) v) (/.f64 (pow.f64 m #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 v (*.f64 m (*.f64 m m))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 v (*.f64 m (*.f64 m m))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 v #s(literal -1/2 binary64)) (pow.f64 m #s(literal 3/2 binary64))) (*.f64 (pow.f64 v #s(literal -1/2 binary64)) (pow.f64 m #s(literal 3/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 m #s(literal 3/2 binary64))) (pow.f64 m #s(literal 3/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 m v)) #s(literal -1 binary64)) (*.f64 m m))
(exp.f64 (*.f64 (log.f64 (/.f64 m (/.f64 v m))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 m m))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 m m))) (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 m m))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 m m))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 m m))) #s(literal 1 binary64)))
(/.f64 v (*.f64 m m))
(/.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v m)))
(/.f64 (/.f64 v (*.f64 m m)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 #s(literal 0 binary64) (*.f64 m m)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 m m))) #s(literal -1 binary64))
(/.f64 (/.f64 v m) m)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) (/.f64 #s(literal 1 binary64) v))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 v m)) (-.f64 #s(literal 0 binary64) m))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)) (-.f64 #s(literal 0 binary64) (*.f64 m m)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 v m))) (-.f64 #s(literal 0 binary64) m))
(pow.f64 (/.f64 v (*.f64 m m)) #s(literal 1 binary64))
(pow.f64 (/.f64 m (/.f64 v m)) #s(literal -1 binary64))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 m m)))
(*.f64 #s(literal 1 binary64) (/.f64 v (*.f64 m m)))
(*.f64 (/.f64 v (*.f64 m m)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 m m))))
(*.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 #s(literal -1 binary64) (*.f64 m m)))
(*.f64 (/.f64 v m) (/.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 v m) (/.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) v)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 v m)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) m)))
(*.f64 (/.f64 #s(literal 1 binary64) m) (/.f64 v m))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 m m)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)) (/.f64 #s(literal -1 binary64) (*.f64 m m)))
(*.f64 (/.f64 #s(literal -1 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 v m)))
(*.f64 (pow.f64 (/.f64 m (/.f64 v m)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 m (/.f64 v m)) #s(literal -1/2 binary64)))

simplify191.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
2564×*-lowering-*.f32
2564×*-lowering-*.f64
1670×--lowering--.f32
1670×--lowering--.f64
1650×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0711328
12061223
25331154
317901147
465761147
080721147
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
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))))
(/ (* (- 1 m) (- m (pow m 2))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/ (* (- 1 m) (- m (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 (pow m 2)) v)
(/ (- m (pow m 2)) v)
(/ (- m (pow m 2)) v)
(/ (- m (pow m 2)) v)
(/ (- m (pow m 2)) v)
(/ (- m (pow m 2)) v)
(/ (- m (pow m 2)) v)
(/ (- m (pow m 2)) v)
(/ (- m (pow m 2)) v)
(/ (- m (pow m 2)) v)
(/ (- m (pow m 2)) v)
(/ (- m (pow m 2)) 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))
(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 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 (+ 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)
(/ 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))))
(/ (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)
(/ 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))
Outputs
(/ m v)
(/.f64 m v)
(* m (+ (* -2 (/ m v)) (/ 1 v)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) m) v)
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64)))))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64)))))
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m #s(literal -2 binary64)))
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64)))))
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64)))))
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m #s(literal -2 binary64)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64)))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64)))))
(/ (* (- 1 m) (- m (pow m 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(/ (* (- 1 m) (- m (pow m 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.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 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) (*.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 (pow m 2)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (- m (pow m 2)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (- m (pow m 2)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (- m (pow m 2)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (- m (pow m 2)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (- m (pow m 2)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (- m (pow m 2)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (- m (pow m 2)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (- m (pow m 2)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (- m (pow m 2)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (- m (pow m 2)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (- m (pow m 2)) 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))
(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 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 (+ 1 (/ 1 v)))
(+.f64 m (/.f64 m v))
(* m (+ 1 (/ 1 v)))
(+.f64 m (/.f64 m v))
(* m (+ 1 (/ 1 v)))
(+.f64 m (/.f64 m v))
(* m (+ 1 (/ 1 v)))
(+.f64 m (/.f64 m v))
(* m (+ 1 (/ 1 v)))
(+.f64 m (/.f64 m v))
(* m (+ 1 (/ 1 v)))
(+.f64 m (/.f64 m v))
(* m (+ 1 (/ 1 v)))
(+.f64 m (/.f64 m v))
(* m (+ 1 (/ 1 v)))
(+.f64 m (/.f64 m v))
(* m (+ 1 (/ 1 v)))
(+.f64 m (/.f64 m v))
(* m (+ 1 (/ 1 v)))
(+.f64 m (/.f64 m v))
(* m (+ 1 (/ 1 v)))
(+.f64 m (/.f64 m v))
(* m (+ 1 (/ 1 v)))
(+.f64 m (/.f64 m v))
(/ m v)
(/.f64 m v)
(/ (+ m (* m v)) v)
(/.f64 (*.f64 m (+.f64 v #s(literal 1 binary64))) v)
(/ (+ m (* m v)) v)
(/.f64 (*.f64 m (+.f64 v #s(literal 1 binary64))) v)
(/ (+ m (* m v)) v)
(/.f64 (*.f64 m (+.f64 v #s(literal 1 binary64))) v)
m
(+ m (/ m v))
(+.f64 m (/.f64 m v))
(+ m (/ m v))
(+.f64 m (/.f64 m v))
(+ m (/ m v))
(+.f64 m (/.f64 m v))
m
(+ m (/ m v))
(+.f64 m (/.f64 m v))
(+ m (/ m v))
(+.f64 m (/.f64 m v))
(+ m (/ m v))
(+.f64 m (/.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)
(/ 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 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) (*.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)
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)
(/ (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)
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))
(/ v (pow m 2))
(/.f64 v (*.f64 m m))

eval170.0ms (2.2%)

Compiler

Compiled 24409 to 2155 computations (91.2% saved)

prune157.0ms (2%)

Pruning

19 alts after pruning (9 fresh and 10 done)

PrunedKeptTotal
New136741371
Fresh257
Picked055
Done055
Total1369191388
Accuracy
100.0%
Counts
1388 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓78.3%
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m)))
78.4%
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)) (/.f64 m v)))
23.2%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) m) v)
✓22.6%
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
55.3%
(/.f64 (*.f64 m (*.f64 m m)) v)
✓55.3%
(/.f64 m (/.f64 v (*.f64 m m)))
55.3%
(/.f64 m (/.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v m))))
✓52.6%
(/.f64 m v)
52.5%
(/.f64 #s(literal 1 binary64) (/.f64 v m))
✓52.6%
(+.f64 m (/.f64 m v))
74.1%
(+.f64 #s(literal -1 binary64) (/.f64 m v))
✓78.4%
(*.f64 (/.f64 (-.f64 m (*.f64 m m)) v) (-.f64 #s(literal 1 binary64) m))
22.5%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m)
55.1%
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m #s(literal -2 binary64)))
✓22.6%
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
✓52.5%
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
✓55.3%
(*.f64 m (/.f64 (*.f64 m m) v))
4.6%
m
✓21.3%
#s(literal -1 binary64)
Compiler

Compiled 461 to 180 computations (61% saved)

regimes52.0ms (0.7%)

Counts
34 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
m
(+.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 m) v))
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) 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 (*.f64 m (*.f64 m m)) (/.f64 #s(literal 1 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 (*.f64 m m) v) (+.f64 m #s(literal -2 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 #s(literal 1 binary64) (/.f64 v m))))
(/.f64 m (/.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v m))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) m) v)
(*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 (-.f64 m (*.f64 m m)) v) (-.f64 #s(literal 1 binary64) m))
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 v m) (-.f64 #s(literal 1 binary64) m)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) (/.f64 #s(literal 1 binary64) v))
(*.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 (-.f64 m (*.f64 m m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 (+.f64 m (*.f64 (-.f64 #s(literal 0 binary64) m) m)) v) (-.f64 #s(literal 1 binary64) m))
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)) (/.f64 m v)))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)) m)))
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64))))
Outputs
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Calls

3 calls:

31.0ms
(*.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
10.0ms
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)

regimes18.0ms (0.2%)

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

2 calls:

9.0ms
m
8.0ms
v
Results
AccuracySegmentsBranch
99.9%2m
81.9%3v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
23 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
m
(+.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 m) v))
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) 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 (*.f64 m (*.f64 m m)) (/.f64 #s(literal 1 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 (*.f64 m m) v) (+.f64 m #s(literal -2 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 #s(literal 1 binary64) (/.f64 v m))))
(/.f64 m (/.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v m))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) m) v)
(*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v))
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) v))
Calls

1 calls:

7.0ms
m
Results
AccuracySegmentsBranch
99.9%2m
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

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

1 calls:

7.0ms
m
Results
AccuracySegmentsBranch
98.1%2m
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

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

1 calls:

7.0ms
m
Results
AccuracySegmentsBranch
97.5%2m
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
m
(+.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 m) v))
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) 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 (*.f64 m (*.f64 m m)) (/.f64 #s(literal 1 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 (*.f64 m (*.f64 m m)) v)
Calls

1 calls:

5.0ms
m
Results
AccuracySegmentsBranch
97.5%2m
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
m
(+.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 m) v))
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m)
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(/.f64 m (/.f64 v (*.f64 m m)))
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(*.f64 m (/.f64 (*.f64 m m) v))
Calls

1 calls:

4.0ms
m
Results
AccuracySegmentsBranch
97.5%2m
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
m
(+.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
74.1%1v
74.1%1m
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
m
(+.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:

4.0ms
v
2.0ms
m
Results
AccuracySegmentsBranch
66.4%2m
56.6%2v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
m
(+.f64 #s(literal -1 binary64) m)
Outputs
(+.f64 #s(literal -1 binary64) m)
Calls

2 calls:

2.0ms
m
2.0ms
v
Results
AccuracySegmentsBranch
24.0%1v
24.0%1m
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

2 calls:

2.0ms
m
1.0ms
v
Results
AccuracySegmentsBranch
24.3%2m
21.3%1v
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
m
1.0ms
v
Results
AccuracySegmentsBranch
21.3%1v
21.3%1m
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch9.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
6.0ms
2.461533642367438e-49
2.31038359339474e-46
Results
4.0ms64×0valid
Compiler

Compiled 108 to 68 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (47.7% of total)
ival-mult: 1.0ms (47.7% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
4.0ms
4.623241336103454e-24
5.845882635938198e-24
Results
3.0ms48×0valid
Compiler

Compiled 86 to 54 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (65.3% of total)
ival-mult: 1.0ms (65.3% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.01514160131969598
2.653109504740817
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 (54.2% of total)
ival-div: 1.0ms (27.1% of total)
ival-sub: 1.0ms (27.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.01514160131969598
2.653109504740817
Results
11.0ms112×0valid
Compiler

Compiled 174 to 110 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 5.0ms (63.8% of total)
ival-mult: 2.0ms (25.5% of total)
ival-div: 1.0ms (12.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
2.653109504740817
12.215663070411797
Results
6.0ms96×0valid
Compiler

Compiled 128 to 84 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (30.8% of total)
ival-sub: 1.0ms (30.8% of total)
ival-mult: 1.0ms (30.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
2.653109504740817
12.215663070411797
Results
6.0ms96×0valid
Compiler

Compiled 128 to 84 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (31.2% of total)
ival-sub: 1.0ms (31.2% of total)
ival-mult: 1.0ms (31.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.6471736736593654e-175
4.75846260690271e-171
Results
11.0ms128×0valid
Compiler

Compiled 100 to 76 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 5.0ms (64.8% of total)
ival-mult: 2.0ms (25.9% of total)
ival-div: 1.0ms (13% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
2.461533642367438e-49
2.31038359339474e-46
Results
7.0ms128×0valid
Compiler

Compiled 84 to 68 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (49.1% of total)
ival-div: 1.0ms (24.6% of total)
ival-sub: 1.0ms (24.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
16×+-commutative_binary64
10×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048150
167150
274150
383150
484150
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(if (<=.f64 m #s(literal 5142201741628769/51422017416287688817342786954917203280710495801049370729644032 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m)))
(if (<=.f64 m #s(literal 1973637728141443/340282366920938463463374607431768211456 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) 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 (/.f64 (*.f64 m m) v) (+.f64 m #s(literal -2 binary64))))
(if (<=.f64 m #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (/.f64 (*.f64 m (*.f64 m m)) v))
(if (<=.f64 m #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (/.f64 (*.f64 m (*.f64 m m)) v))
(if (<=.f64 m #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(if (<=.f64 m #s(literal 8242690568946349/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) #s(literal -1 binary64) (/.f64 m v))
(+.f64 #s(literal -1 binary64) m)
(if (<=.f64 m #s(literal 167121556602935/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(literal -1 binary64) m)
#s(literal -1 binary64)
Outputs
(*.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)))
(if (<=.f64 m #s(literal 5142201741628769/51422017416287688817342786954917203280710495801049370729644032 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m)))
(if (<=.f64 m #s(literal 5142201741628769/51422017416287688817342786954917203280710495801049370729644032 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))
(if (<=.f64 m #s(literal 1973637728141443/340282366920938463463374607431768211456 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) 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 (/.f64 (*.f64 m m) v) (+.f64 m #s(literal -2 binary64))))
(if (<=.f64 m #s(literal 3602879701896397/2251799813685248 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 m v))) (*.f64 (/.f64 (*.f64 m m) v) (+.f64 m #s(literal -2 binary64))))
(if (<=.f64 m #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (/.f64 (*.f64 m (*.f64 m m)) v))
(if (<=.f64 m #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 m v))) (/.f64 (*.f64 m (*.f64 m m)) v))
(if (<=.f64 m #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (/.f64 (*.f64 m (*.f64 m m)) v))
(if (<=.f64 m #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(if (<=.f64 m #s(literal 8242690568946349/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) #s(literal -1 binary64) (/.f64 m v))
(+.f64 #s(literal -1 binary64) m)
(+.f64 m #s(literal -1 binary64))
(if (<=.f64 m #s(literal 167121556602935/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(literal -1 binary64) m)
#s(literal -1 binary64)

soundness1.9s (24.1%)

Rules
5168×*-lowering-*.f32
5168×*-lowering-*.f64
4202×/-lowering-/.f32
4202×/-lowering-/.f64
3594×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0711328
12061223
25331154
317901147
465761147
080721147
0107878
1333843
21004685
33734673
08183673
01987
111479
2100070
0905770
01932308
16072171
217831859
368481859
081061859
0837
14935
244535
3660533
0802233
01789
111286
2117884
0841584
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 405 to 212 computations (47.7% saved)

preprocess77.0ms (1%)

Compiler

Compiled 334 to 110 computations (67.1% saved)

end0.0ms (0%)

Profiling

Loading profile data...