b parameter of renormalized beta distribution

Time bar (total: 8.8s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%12.5%87.5%0%0%0%0
100%12.5%0%87.5%0%0%0%1
Compiler

Compiled 25 to 16 computations (36% saved)

sample780.0ms (8.8%)

Memory
27.7MiB live, 1 037.7MiB allocated
Samples
537.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 335.0ms
ival-mult: 101.0ms (30.1% of total)
ival-sub: 89.0ms (26.6% of total)
ival-div: 57.0ms (17% of total)
ival-<: 56.0ms (16.7% of total)
ival-and: 16.0ms (4.8% of total)
exact: 13.0ms (3.9% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess395.0ms (4.5%)

Memory
-2.2MiB live, 412.5MiB allocated
Algorithm
egg-herbie
Rules
12 370×accelerator-lowering-fma.f32
12 370×accelerator-lowering-fma.f64
2 256×unsub-neg
1 908×*-lowering-*.f32
1 908×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02588
17183
223778
392878
4384378
5713678
0813
11913
24613
311313
436913
5150413
6424613
7717513
0807112
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
Outputs
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v)) #s(literal -1 binary64)))
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) (+ (* m (/ (- 1 m) v)) -1))
(* (- (/ (* (neg m) (- 1 (neg m))) v) 1) (- 1 (neg m)))
(* (+ m 1) (+ (/ (* m (- -1 m)) v) -1))
(* (- (/ (* m (- 1 m)) (neg v)) 1) (- 1 m))
(* (+ 1 (* m (/ (- 1 m) v))) (+ m -1))
(neg (* (- (/ (* (neg m) (- 1 (neg m))) v) 1) (- 1 (neg m))))
(* (+ m 1) (+ 1 (/ (+ m (* m m)) v)))
(neg (* (- (/ (* m (- 1 m)) (neg v)) 1) (- 1 m)))
(* (- 1 m) (+ 1 (* m (/ (- 1 m) v))))
(* (- (/ (* v (- 1 v)) m) 1) (- 1 v))
(* (- 1 v) (+ (* (- 1 v) (/ v m)) -1))

explain94.0ms (1.1%)

Memory
6.4MiB live, 164.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
00-0-(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
00-0-v
00-0-(-.f64 #s(literal 1 binary64) m)
00-0-#s(literal 1 binary64)
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
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
33.0ms512×0valid
Compiler

Compiled 114 to 36 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (36.6% of total)
ival-sub: 5.0ms (30.5% of total)
ival-div: 4.0ms (24.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory
-37.4MiB live, 1.3MiB allocated
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)

simplify284.0ms (3.2%)

Memory
42.1MiB live, 396.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 m (-.f64 #s(literal 1 binary64) m))
cost-diff0
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
cost-diff0
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Rules
12 370×accelerator-lowering-fma.f32
12 370×accelerator-lowering-fma.f64
2 256×unsub-neg
1 908×*-lowering-*.f32
1 908×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0840
11940
24640
311340
436940
5150440
6424640
7717540
0807138
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
(- (/ (* m (- 1 m)) v) 1)
(/ (* m (- 1 m)) v)
(* m (- 1 m))
m
(- 1 m)
1
v
Outputs
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v)) #s(literal -1 binary64)))
(- (/ (* m (- 1 m)) v) 1)
(+.f64 (*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v)) #s(literal -1 binary64))
(/ (* m (- 1 m)) v)
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v))
(* 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

localize26.0ms (0.3%)

Memory
-3.0MiB live, 35.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 m (-.f64 #s(literal 1 binary64) m))
accuracy100.0%
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
accuracy99.9%
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
accuracy99.9%
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Samples
15.0ms256×0valid
Compiler

Compiled 42 to 10 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (37.7% of total)
ival-mult: 3.0ms (37.7% of total)
ival-div: 2.0ms (25.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-29.4MiB live, 10.7MiB allocated
Counts
4 → 84
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))>
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))>
Calls

21 calls:

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

rewrite271.0ms (3.1%)

Memory
35.9MiB live, 346.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 124×accelerator-lowering-fma.f32
4 124×accelerator-lowering-fma.f64
3 344×*-lowering-*.f32
3 344×*-lowering-*.f64
2 254×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
14934
243134
3616834
0891530
Stop Event
iter limit
node limit
Counts
4 → 503
Calls
Call 1
Inputs
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
(- (/ (* m (- 1 m)) v) 1)
(/ (* m (- 1 m)) v)
(* m (- 1 m))
Outputs
(+.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)) (/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)) (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)))
(+.f64 (/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(fma.f64 m (*.f64 (/.f64 (+.f64 m #s(literal 1 binary64)) v) (+.f64 m #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(fma.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(fma.f64 (+.f64 m #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(fma.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (/.f64 (+.f64 m #s(literal 1 binary64)) v) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(fma.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) v) (+.f64 m #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) (+.f64 m #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(fma.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)))
(fma.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m) (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))) (/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v)) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(fma.f64 (+.f64 (/.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) (/.f64 (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64)))) (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64))))))) (*.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)))
(fma.f64 (+.f64 (/.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) (/.f64 (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64)))) (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64))))))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)))
(fma.f64 (+.f64 (/.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) (/.f64 (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64)))) (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64))))))) (-.f64 #s(literal 0 binary64) m)) (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (+.f64 m #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) m) (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 m #s(literal 1 binary64)) (/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v)) (*.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) m)))
(fma.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64))) (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64)))) (/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v)) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 v (*.f64 m (+.f64 m #s(literal 1 binary64))))))
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(*.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) m)) (+.f64 m #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) m) (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) m) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)) #s(literal 1 binary64)) m)
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64))) m)
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (-.f64 #s(literal 1 binary64) (*.f64 m m))) (+.f64 m #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (*.f64 m (+.f64 m #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (-.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (*.f64 m (+.f64 m #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))))

simplify394.0ms (4.5%)

Memory
18.4MiB live, 483.5MiB allocated
Algorithm
egg-herbie
Rules
14 946×accelerator-lowering-fma.f32
14 946×accelerator-lowering-fma.f64
3 534×*-lowering-*.f32
3 534×*-lowering-*.f64
2 844×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103963
1292919
2846886
33050708
08168683
Stop Event
iter limit
node limit
Counts
84 → 84
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))
Outputs
-1
#s(literal -1 binary64)
(- (* m (+ 1 (/ 1 v))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(+.f64 (+.f64 #s(literal -1 binary64) m) (*.f64 (/.f64 m v) (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64)))))
(- (* 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 (/.f64 m v) (+.f64 m #s(literal -2 binary64))))))
(/ (pow m 3) v)
(*.f64 m (*.f64 m (/.f64 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 1 binary64) (/.f64 #s(literal 2 binary64) m))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) m))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) m) (/.f64 #s(literal 1 binary64) (*.f64 m m)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(*.f64 m (*.f64 m (*.f64 m (+.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) m) (/.f64 (/.f64 #s(literal -2 binary64) m) v)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) m)) (*.f64 m m)))))))
(/ (pow m 3) v)
(*.f64 m (*.f64 m (/.f64 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 1 binary64) (/.f64 #s(literal 2 binary64) m))))
(* -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 (*.f64 m (*.f64 m m)) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) m))) m) (/.f64 #s(literal -2 binary64) v)) m)))
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))
(* -1 (- 1 m))
(+.f64 #s(literal -1 binary64) m)
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))
(* -1 (- 1 m))
(+.f64 #s(literal -1 binary64) m)
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))
-1
#s(literal -1 binary64)
(- (/ m v) 1)
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.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 m (/.f64 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 m (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (/.f64 #s(literal -1 binary64) m)))
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(*.f64 m (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (/.f64 #s(literal -1 binary64) m)))
(* -1 (/ (pow m 2) v))
(-.f64 #s(literal 0 binary64) (*.f64 m (/.f64 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 m (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (/.f64 #s(literal -1 binary64) m)))
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(*.f64 m (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (/.f64 #s(literal -1 binary64) m)))
(/ (* m (- 1 m)) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))
(/ (+ (* -1 v) (* m (- 1 m))) v)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v))
(/ (+ (* -1 v) (* m (- 1 m))) v)
(+.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))
-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 m (/.f64 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 m (/.f64 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))

eval69.0ms (0.8%)

Memory
-5.3MiB live, 107.5MiB allocated
Compiler

Compiled 17 220 to 1 690 computations (90.2% saved)

prune73.0ms (0.8%)

Memory
9.7MiB live, 128.3MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New57611587
Fresh000
Picked101
Done000
Total57711588
Accuracy
100.0%
Counts
588 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64))))
75.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
69.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (*.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))))
71.5%
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
99.9%
(+.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64))))))
26.7%
(+.f64 #s(literal -1 binary64) m)
75.5%
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
44.4%
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
44.3%
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 m #s(literal 1 binary64)) v) m) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
54.4%
(*.f64 m (*.f64 m (/.f64 m v)))
24.3%
#s(literal -1 binary64)
Compiler

Compiled 286 to 172 computations (39.9% saved)

simplify352.0ms (4%)

Memory
7.1MiB live, 402.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 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 m (-.f64 #s(literal 1 binary64) m)))
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
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 m (*.f64 m (/.f64 m v)))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))
cost-diff0
(*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64)))))
cost-diff128
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64))))
cost-diff128
(+.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64))))))
Rules
16 044×accelerator-lowering-fma.f32
16 044×accelerator-lowering-fma.f64
2 968×*-lowering-*.f32
2 968×*-lowering-*.f64
1 996×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021143
159143
2169141
3446137
41065137
52463135
65238133
77157133
08170127
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ -1 (* m (+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2)))))
-1
(* m (+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2))))
m
(+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2)))
(+ 1 (/ 1 v))
1
(/ 1 v)
v
(* (/ m v) (+ m -2))
(/ m v)
(+ m -2)
-2
-1
(* m (* m (/ m v)))
m
(* m (/ m v))
(/ m v)
v
(* (- (/ m v) 1) (- 1 m))
(- (/ m v) 1)
(/ m v)
m
v
1
(- 1 m)
(/ (* (- 1 m) (* m (- 1 m))) v)
(* (- 1 m) (* m (- 1 m)))
(- 1 m)
1
m
(* m (- 1 m))
v
Outputs
(+ -1 (* m (+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2)))))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)))
-1
#s(literal -1 binary64)
(* m (+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2))))
(*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (-.f64 #s(literal 2 binary64) m))) v)))
m
(+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (-.f64 #s(literal 2 binary64) m))) v))
(+ 1 (/ 1 v))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))
1
#s(literal 1 binary64)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
v
(* (/ m v) (+ m -2))
(*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))
(/ m v)
(/.f64 m v)
(+ m -2)
(+.f64 m #s(literal -2 binary64))
-2
#s(literal -2 binary64)
-1
#s(literal -1 binary64)
(* m (* m (/ m v)))
(*.f64 m (*.f64 m (/.f64 m v)))
m
(* m (/ m v))
(*.f64 m (/.f64 m v))
(/ m v)
(/.f64 m v)
v
(* (- (/ m v) 1) (- 1 m))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 m v)) (-.f64 #s(literal 1 binary64) m))
(- (/ 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)
(/ (* (- 1 m) (* m (- 1 m))) v)
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (-.f64 #s(literal 2 binary64) m)))) v)
(* (- 1 m) (* m (- 1 m)))
(*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (-.f64 #s(literal 2 binary64) m))))
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
1
#s(literal 1 binary64)
m
(* m (- 1 m))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
v

localize66.0ms (0.7%)

Memory
9.6MiB live, 86.7MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) m)
accuracy100.0%
(*.f64 m (-.f64 #s(literal 1 binary64) m))
accuracy100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
accuracy99.9%
(*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m)))
accuracy100.0%
(/.f64 m v)
accuracy100.0%
(-.f64 #s(literal 1 binary64) m)
accuracy100.0%
(-.f64 (/.f64 m v) #s(literal 1 binary64))
accuracy99.9%
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
accuracy100.0%
(/.f64 m v)
accuracy99.9%
(*.f64 m (*.f64 m (/.f64 m v)))
accuracy99.8%
(*.f64 m (/.f64 m v))
accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64))))))
accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64))))
accuracy99.9%
(*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64)))
accuracy99.7%
(*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64)))))
Samples
37.0ms256×0valid
Compiler

Compiled 145 to 23 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 10.0ms (43.2% of total)
ival-div: 5.0ms (21.6% of total)
ival-add: 4.0ms (17.3% of total)
ival-sub: 2.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
-10.6MiB live, 27.8MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#<alt (+ -1 (* m (+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2)))))>
#<alt (+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2)))>
#<alt (* m (+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2))))>
#<alt (+ 1 (/ 1 v))>
#<alt (* m (* m (/ m v)))>
#<alt (* m (/ m v))>
#<alt (/ m v)>
#<alt (* (- (/ m v) 1) (- 1 m))>
#<alt (- (/ m v) 1)>
#<alt (- 1 m)>
#<alt (/ (* (- 1 m) (* m (- 1 m))) v)>
#<alt (* (- 1 m) (* m (- 1 m)))>
#<alt (* m (- 1 m))>
#<alt (* (/ m v) (+ m -2))>
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 (+ 1 (/ 1 v))) (/ 1 m)) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))>
#<alt (/ (* m (+ 1 (* m (- m 2)))) v)>
#<alt (/ (+ (* m (+ 1 (* m (- m 2)))) (* v (- m 1))) v)>
#<alt (/ (+ (* m (+ 1 (* m (- m 2)))) (* v (- m 1))) v)>
#<alt (/ (+ (* m (+ 1 (* m (- m 2)))) (* v (- m 1))) v)>
#<alt (- m 1)>
#<alt (- (+ m (/ (* m (+ 1 (* m (- m 2)))) v)) 1)>
#<alt (- (+ m (/ (* m (+ 1 (* m (- m 2)))) v)) 1)>
#<alt (- (+ m (/ (* m (+ 1 (* m (- m 2)))) v)) 1)>
#<alt (- m 1)>
#<alt (- (+ m (* -1 (/ (* m (- (* -1 (* m (- m 2))) 1)) v))) 1)>
#<alt (- (+ m (* -1 (/ (* m (- (* -1 (* m (- m 2))) 1)) v))) 1)>
#<alt (- (+ m (* -1 (/ (* m (- (* -1 (* m (- m 2))) 1)) v))) 1)>
#<alt (/ (+ 1 (* m (- m 2))) v)>
#<alt (/ (+ 1 (+ v (* m (- m 2)))) v)>
#<alt (/ (+ 1 (+ v (* m (- m 2)))) v)>
#<alt (/ (+ 1 (+ v (* m (- m 2)))) v)>
#<alt 1>
#<alt (+ 1 (+ (/ 1 v) (/ (* m (- m 2)) v)))>
#<alt (+ 1 (+ (/ 1 v) (/ (* m (- m 2)) v)))>
#<alt (+ 1 (+ (/ 1 v) (/ (* m (- m 2)) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 (* m (- m 2))) 1) v)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (* m (- m 2))) 1) v)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (* m (- m 2))) 1) v)))>
#<alt (+ 1 (/ 1 v))>
#<alt (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))>
#<alt (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))>
#<alt (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))>
#<alt (/ (pow m 2) v)>
#<alt (* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (* (pow m 2) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))>
#<alt (* (pow m 2) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))>
#<alt (/ (pow m 2) v)>
#<alt (* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (/ 1 v)) m)) (* 2 (/ 1 v))) m)) (/ 1 v)))>
#<alt (* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (/ 1 v)) m)) (* 2 (/ 1 v))) m)) (/ 1 v)))>
#<alt (* m (+ 1 (/ 1 v)))>
#<alt (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v))))>
#<alt (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v))))>
#<alt (* m (+ 1 (+ (* 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)) (/ 1 (pow m 2)))) (/ 2 (* m v))))>
#<alt (* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 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 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))>
#<alt (/ (* m (+ 1 (* m (- m 2)))) v)>
#<alt (/ (+ (* m v) (* m (+ 1 (* m (- m 2))))) v)>
#<alt (/ (+ (* m v) (* m (+ 1 (* m (- m 2))))) v)>
#<alt (/ (+ (* m v) (* m (+ 1 (* m (- m 2))))) v)>
#<alt m>
#<alt (+ m (/ (* m (+ 1 (* m (- m 2)))) v))>
#<alt (+ m (/ (* m (+ 1 (* m (- m 2)))) v))>
#<alt (+ m (/ (* m (+ 1 (* m (- m 2)))) v))>
#<alt m>
#<alt (+ m (* -1 (/ (* m (- (* -1 (* m (- m 2))) 1)) v)))>
#<alt (+ m (* -1 (/ (* m (- (* -1 (* m (- m 2))) 1)) v)))>
#<alt (+ m (* -1 (/ (* m (- (* -1 (* m (- m 2))) 1)) v)))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 v) v)>
#<alt (/ (+ 1 v) v)>
#<alt (/ (+ 1 v) v)>
#<alt 1>
#<alt (+ 1 (/ 1 v))>
#<alt (+ 1 (/ 1 v))>
#<alt (+ 1 (/ 1 v))>
#<alt 1>
#<alt (+ 1 (/ 1 v))>
#<alt (+ 1 (/ 1 v))>
#<alt (+ 1 (/ 1 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 (/ 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>
#<alt (* m (+ 1 (* -2 m)))>
#<alt (* m (+ 1 (* m (- m 2))))>
#<alt (* m (+ 1 (* m (- m 2))))>
#<alt (pow m 3)>
#<alt (* (pow m 3) (- 1 (* 2 (/ 1 m))))>
#<alt (* (pow m 3) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))>
#<alt (* (pow m 3) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))>
#<alt (pow m 3)>
#<alt (* -1 (* (pow m 3) (- (* 2 (/ 1 m)) 1)))>
#<alt (* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 m) 2) m)) 1)))>
#<alt (* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 m) 2) m)) 1)))>
#<alt 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 (* -2 (/ m v))>
#<alt (* m (- (/ m v) (* 2 (/ 1 v))))>
#<alt (* m (- (/ m v) (* 2 (/ 1 v))))>
#<alt (* m (- (/ m v) (* 2 (/ 1 v))))>
#<alt (/ (pow m 2) v)>
#<alt (* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (/ (pow m 2) v)>
#<alt (* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (/ (* m (- m 2)) v)>
#<alt (/ (* m (- m 2)) v)>
#<alt (/ (* m (- m 2)) v)>
#<alt (/ (* m (- m 2)) v)>
#<alt (/ (* m (- m 2)) v)>
#<alt (/ (* m (- m 2)) v)>
#<alt (/ (* m (- m 2)) v)>
#<alt (/ (* m (- m 2)) v)>
#<alt (/ (* m (- m 2)) v)>
#<alt (/ (* m (- m 2)) v)>
#<alt (/ (* m (- m 2)) v)>
#<alt (/ (* m (- m 2)) v)>
Calls

72 calls:

TimeVariablePointExpression
3.0ms
v
@inf
(+ -1 (* m (+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2)))))
2.0ms
m
@0
(/ (* (- 1 m) (* m (- 1 m))) v)
1.0ms
v
@0
(+ -1 (* m (+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2)))))
1.0ms
v
@0
(/ (* (- 1 m) (* m (- 1 m))) v)
1.0ms
v
@0
(* m (* m (/ m v)))

rewrite620.0ms (7%)

Memory
14.7MiB live, 483.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 786×*-lowering-*.f32
5 786×*-lowering-*.f64
4 678×/-lowering-/.f32
4 678×/-lowering-/.f64
2 872×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021114
1142112
21413108
08537104
Stop Event
iter limit
node limit
Counts
14 → 788
Calls
Call 1
Inputs
(+ -1 (* m (+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2)))))
(+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2)))
(* m (+ (+ 1 (/ 1 v)) (* (/ m v) (+ m -2))))
(+ 1 (/ 1 v))
(* m (* m (/ m v)))
(* m (/ m v))
(/ m v)
(* (- (/ m v) 1) (- 1 m))
(- (/ m v) 1)
(- 1 m)
(/ (* (- 1 m) (* m (- 1 m))) v)
(* (- 1 m) (* m (- 1 m)))
(* m (- 1 m))
(* (/ m v) (+ m -2))
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))))
(+.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) #s(literal -1 binary64))
(+.f64 (+.f64 m (/.f64 m v)) (+.f64 (/.f64 (*.f64 m (*.f64 m (+.f64 m #s(literal -2 binary64)))) v) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v))) (/.f64 (*.f64 m (*.f64 m (+.f64 m #s(literal -2 binary64)))) v))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))))) (/.f64 (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))) (-.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))))))
(fma.f64 m (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 (*.f64 m (*.f64 m (+.f64 m #s(literal -2 binary64)))) v) #s(literal -1 binary64)))
(fma.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) m (+.f64 (/.f64 (*.f64 m (*.f64 m (+.f64 m #s(literal -2 binary64)))) v) #s(literal -1 binary64)))
(fma.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) m #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) (-.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) (-.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))))) (+.f64 (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) m) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))))) (-.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) (-.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))))))
(/.f64 (-.f64 (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))) #s(literal 1 binary64)) (-.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))) (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))) (-.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) (-.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) (-.f64 (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))) #s(literal -1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))
(+.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))
(+.f64 (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(+.f64 (/.f64 m (/.f64 v m)) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 v m)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) #s(literal 1 binary64))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 m (/.f64 v m))) (/.f64 #s(literal -2 binary64) (/.f64 v m)))
(+.f64 (+.f64 (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))) v))) (/.f64 (/.f64 (*.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) (*.f64 m (+.f64 m #s(literal -2 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))) v))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))
(fma.f64 m (/.f64 m v) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 v m)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))))
(fma.f64 m (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 m #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(fma.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))
(fma.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))
(fma.f64 (/.f64 m v) m (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 v m)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))))
(fma.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(fma.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(fma.f64 (*.f64 m m) (/.f64 #s(literal 1 binary64) v) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 v m)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) v))) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)))
(fma.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(fma.f64 (pow.f64 v #s(literal -1/2 binary64)) (pow.f64 v #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))) (*.f64 (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)) (-.f64 (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))) (/.f64 (*.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) (*.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) (*.f64 m (+.f64 m #s(literal -2 binary64))))) (*.f64 v (*.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))) v)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))) v)))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))) (/.f64 (*.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) (*.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) (*.f64 m (+.f64 m #s(literal -2 binary64))))) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))) (*.f64 (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)) (-.f64 (/.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 v m)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))))))
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(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 v m)) (*.f64 (/.f64 v m) m)) (*.f64 (/.f64 v m) (/.f64 v m)))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 v (*.f64 m m))) (*.f64 (/.f64 v m) #s(literal 1 binary64))) (*.f64 (/.f64 v m) (/.f64 v (*.f64 m m))))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) v) (*.f64 (/.f64 v m) (*.f64 m m))) (*.f64 (/.f64 v m) v))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) v)) (*.f64 (/.f64 v m) (*.f64 m (-.f64 #s(literal 0 binary64) m)))) (*.f64 (/.f64 v m) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) v)) (*.f64 (/.f64 v m) (*.f64 (-.f64 #s(literal 0 binary64) m) m))) (*.f64 (/.f64 v m) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) v)) (*.f64 (/.f64 v m) (neg.f64 (*.f64 m m)))) (*.f64 (/.f64 v m) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (+.f64 (*.f64 (*.f64 m #s(literal -2 binary64)) (/.f64 v m)) (*.f64 v m)) (*.f64 v (/.f64 v m)))
(/.f64 (+.f64 (*.f64 (*.f64 m #s(literal -2 binary64)) (/.f64 v (*.f64 m m))) v) (*.f64 v (/.f64 v (*.f64 m m))))
(/.f64 (+.f64 (*.f64 (*.f64 m #s(literal -2 binary64)) v) (*.f64 v (*.f64 m m))) (*.f64 v v))
(/.f64 (+.f64 (*.f64 (*.f64 m #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) v)) (*.f64 v (*.f64 m (-.f64 #s(literal 0 binary64) m)))) (*.f64 v (-.f64 #s(literal 0 binary64) v)))
(/.f64 (+.f64 (*.f64 (*.f64 m #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) v)) (*.f64 v (*.f64 (-.f64 #s(literal 0 binary64) m) m))) (*.f64 v (-.f64 #s(literal 0 binary64) v)))
(/.f64 (+.f64 (*.f64 (*.f64 m #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) v)) (*.f64 v (neg.f64 (*.f64 m m)))) (*.f64 v (-.f64 #s(literal 0 binary64) v)))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -2 binary64)) (/.f64 v m)) (*.f64 (-.f64 #s(literal 0 binary64) v) m)) (*.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 v m)))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -2 binary64)) (/.f64 v (*.f64 m m))) (*.f64 (-.f64 #s(literal 0 binary64) v) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 v (*.f64 m m))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -2 binary64)) v) (*.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 m m))) (*.f64 (-.f64 #s(literal 0 binary64) v) v))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) v)) (*.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 m (-.f64 #s(literal 0 binary64) m)))) (*.f64 v v))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) v)) (*.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (-.f64 #s(literal 0 binary64) m) m))) (*.f64 v v))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) v)) (*.f64 (-.f64 #s(literal 0 binary64) v) (neg.f64 (*.f64 m m)))) (*.f64 v v))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) m)) (/.f64 v m)) (*.f64 (-.f64 #s(literal 0 binary64) v) m)) (*.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 v m)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) m)) (/.f64 v (*.f64 m m))) (*.f64 (-.f64 #s(literal 0 binary64) v) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 v (*.f64 m m))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) m)) v) (*.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 m m))) (*.f64 (-.f64 #s(literal 0 binary64) v) v))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) m)) (-.f64 #s(literal 0 binary64) v)) (*.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 m (-.f64 #s(literal 0 binary64) m)))) (*.f64 v v))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) m)) (-.f64 #s(literal 0 binary64) v)) (*.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (-.f64 #s(literal 0 binary64) m) m))) (*.f64 v v))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) m)) (-.f64 #s(literal 0 binary64) v)) (*.f64 (-.f64 #s(literal 0 binary64) v) (neg.f64 (*.f64 m m)))) (*.f64 v v))
(pow.f64 (/.f64 v (*.f64 m (+.f64 m #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 m (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 m #s(literal -2 binary64))))
(*.f64 m (/.f64 (+.f64 m #s(literal -2 binary64)) v))
(*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64)))
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(*.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) v))

simplify336.0ms (3.8%)

Memory
-14.9MiB live, 415.1MiB allocated
Algorithm
egg-herbie
Rules
9 882×accelerator-lowering-fma.f32
9 882×accelerator-lowering-fma.f64
4 478×*-lowering-*.f32
4 478×*-lowering-*.f64
2 298×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01802487
15122353
214872301
350322232
081782137
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ 1 (/ 1 v))) (/ 1 m)) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(/ (* m (+ 1 (* m (- m 2)))) v)
(/ (+ (* m (+ 1 (* m (- m 2)))) (* v (- m 1))) v)
(/ (+ (* m (+ 1 (* m (- m 2)))) (* v (- m 1))) v)
(/ (+ (* m (+ 1 (* m (- m 2)))) (* v (- m 1))) v)
(- m 1)
(- (+ m (/ (* m (+ 1 (* m (- m 2)))) v)) 1)
(- (+ m (/ (* m (+ 1 (* m (- m 2)))) v)) 1)
(- (+ m (/ (* m (+ 1 (* m (- m 2)))) v)) 1)
(- m 1)
(- (+ m (* -1 (/ (* m (- (* -1 (* m (- m 2))) 1)) v))) 1)
(- (+ m (* -1 (/ (* m (- (* -1 (* m (- m 2))) 1)) v))) 1)
(- (+ m (* -1 (/ (* m (- (* -1 (* m (- m 2))) 1)) v))) 1)
(/ (+ 1 (* m (- m 2))) v)
(/ (+ 1 (+ v (* m (- m 2)))) v)
(/ (+ 1 (+ v (* m (- m 2)))) v)
(/ (+ 1 (+ v (* m (- m 2)))) v)
1
(+ 1 (+ (/ 1 v) (/ (* m (- m 2)) v)))
(+ 1 (+ (/ 1 v) (/ (* m (- m 2)) v)))
(+ 1 (+ (/ 1 v) (/ (* m (- m 2)) v)))
1
(+ 1 (* -1 (/ (- (* -1 (* m (- m 2))) 1) v)))
(+ 1 (* -1 (/ (- (* -1 (* m (- m 2))) 1) v)))
(+ 1 (* -1 (/ (- (* -1 (* m (- m 2))) 1) v)))
(+ 1 (/ 1 v))
(+ 1 (+ (* -2 (/ m v)) (/ 1 v)))
(+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(/ (pow m 2) v)
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 2) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(* (pow m 2) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(/ (pow m 2) v)
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (/ 1 v)) m)) (* 2 (/ 1 v))) m)) (/ 1 v)))
(* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (/ 1 v)) m)) (* 2 (/ 1 v))) m)) (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v))))
(* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v))))
(* m (+ 1 (+ (* 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)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 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 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(/ (* m (+ 1 (* m (- m 2)))) v)
(/ (+ (* m v) (* m (+ 1 (* m (- m 2))))) v)
(/ (+ (* m v) (* m (+ 1 (* m (- m 2))))) v)
(/ (+ (* m v) (* m (+ 1 (* m (- m 2))))) v)
m
(+ m (/ (* m (+ 1 (* m (- m 2)))) v))
(+ m (/ (* m (+ 1 (* m (- m 2)))) v))
(+ m (/ (* m (+ 1 (* m (- m 2)))) v))
m
(+ m (* -1 (/ (* m (- (* -1 (* m (- m 2))) 1)) v)))
(+ m (* -1 (/ (* m (- (* -1 (* m (- m 2))) 1)) v)))
(+ m (* -1 (/ (* m (- (* -1 (* m (- m 2))) 1)) v)))
(/ 1 v)
(/ (+ 1 v) v)
(/ (+ 1 v) v)
(/ (+ 1 v) v)
1
(+ 1 (/ 1 v))
(+ 1 (/ 1 v))
(+ 1 (/ 1 v))
1
(+ 1 (/ 1 v))
(+ 1 (/ 1 v))
(+ 1 (/ 1 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)
(/ 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
(* m (+ 1 (* -2 m)))
(* m (+ 1 (* m (- m 2))))
(* m (+ 1 (* m (- m 2))))
(pow m 3)
(* (pow m 3) (- 1 (* 2 (/ 1 m))))
(* (pow m 3) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(* (pow m 3) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(pow m 3)
(* -1 (* (pow m 3) (- (* 2 (/ 1 m)) 1)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 m) 2) m)) 1)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 m) 2) m)) 1)))
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))
(* -2 (/ m v))
(* m (- (/ m v) (* 2 (/ 1 v))))
(* m (- (/ m v) (* 2 (/ 1 v))))
(* m (- (/ m v) (* 2 (/ 1 v))))
(/ (pow m 2) v)
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(/ (pow m 2) v)
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(/ (* m (- m 2)) v)
(/ (* m (- m 2)) v)
(/ (* m (- m 2)) v)
(/ (* m (- m 2)) v)
(/ (* m (- m 2)) v)
(/ (* m (- m 2)) v)
(/ (* m (- m 2)) v)
(/ (* m (- m 2)) v)
(/ (* m (- m 2)) v)
(/ (* m (- m 2)) v)
(/ (* m (- m 2)) v)
(/ (* m (- m 2)) v)
Outputs
-1
#s(literal -1 binary64)
(- (* m (+ 1 (/ 1 v))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(+.f64 (+.f64 #s(literal -1 binary64) m) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 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) (*.f64 m (+.f64 m #s(literal -2 binary64)))) v))))
(/ (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 1 binary64) (/.f64 #s(literal -2 binary64) m))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(*.f64 m (+.f64 (/.f64 (*.f64 m m) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 m (*.f64 m m)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) m) m)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m v)) (/.f64 #s(literal -2 binary64) v)) m) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) m) m) m))))
(/ (pow m 3) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(*.f64 (*.f64 m (*.f64 m m)) (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) m))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 m (+.f64 (/.f64 (*.f64 m m) v) (*.f64 m (+.f64 (/.f64 #s(literal -2 binary64) v) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) m)))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ 1 (/ 1 v))) (/ 1 m)) 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 (/.f64 #s(literal 1 binary64) m) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v))) m)) m)))
(/ (* m (+ 1 (* m (- m 2)))) v)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))) (/.f64 m v))
(/ (+ (* m (+ 1 (* m (- m 2)))) (* v (- m 1))) v)
(/.f64 (-.f64 (*.f64 m (-.f64 (+.f64 #s(literal 1 binary64) v) (*.f64 m (-.f64 #s(literal 2 binary64) m)))) v) v)
(/ (+ (* m (+ 1 (* m (- m 2)))) (* v (- m 1))) v)
(/.f64 (-.f64 (*.f64 m (-.f64 (+.f64 #s(literal 1 binary64) v) (*.f64 m (-.f64 #s(literal 2 binary64) m)))) v) v)
(/ (+ (* m (+ 1 (* m (- m 2)))) (* v (- m 1))) v)
(/.f64 (-.f64 (*.f64 m (-.f64 (+.f64 #s(literal 1 binary64) v) (*.f64 m (-.f64 #s(literal 2 binary64) m)))) v) v)
(- m 1)
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#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 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 m v))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))) (/.f64 m v))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))) (/.f64 m v))
(/ (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 1 binary64) (/.f64 #s(literal -2 binary64) 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 #s(literal 1 binary64) (*.f64 m v)) (/.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 #s(literal 1 binary64) (*.f64 m v)) (/.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 1 binary64) (/.f64 #s(literal -2 binary64) 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 #s(literal 1 binary64) (*.f64 m v)) (/.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 #s(literal 1 binary64) (*.f64 m v)) (/.f64 #s(literal -2 binary64) v)) m)))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
m
(* m (+ 1 (* -2 m)))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))))
(* m (+ 1 (* m (- m 2))))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))))
(* m (+ 1 (* m (- m 2))))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal -2 binary64)))))
(pow m 3)
(*.f64 m (*.f64 m m))
(* (pow m 3) (- 1 (* 2 (/ 1 m))))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) m)))
(* (pow m 3) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) m)))))
(* (pow m 3) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) m)))))
(pow m 3)
(*.f64 m (*.f64 m m))
(* -1 (* (pow m 3) (- (* 2 (/ 1 m)) 1)))
(*.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) m)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 m) 2) m)) 1)))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) m)))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 m) 2) m)) 1)))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) m)))))
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))
(* -2 (/ m v))
(/.f64 (*.f64 m #s(literal -2 binary64)) v)
(* m (- (/ m v) (* 2 (/ 1 v))))
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(* m (- (/ m v) (* 2 (/ 1 v))))
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(* m (- (/ m v) (* 2 (/ 1 v))))
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) m))) (*.f64 m m))
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) m))) (*.f64 m m))
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) m))) (*.f64 m m))
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) m))) (*.f64 m m))
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) m))) (*.f64 m m))
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) m))) (*.f64 m m))
(/ (* m (- m 2)) v)
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(/ (* m (- m 2)) v)
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(/ (* m (- m 2)) v)
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(/ (* m (- m 2)) v)
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(/ (* m (- m 2)) v)
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(/ (* m (- m 2)) v)
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(/ (* m (- m 2)) v)
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(/ (* m (- m 2)) v)
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(/ (* m (- m 2)) v)
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(/ (* m (- m 2)) v)
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(/ (* m (- m 2)) v)
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))
(/ (* m (- m 2)) v)
(*.f64 (+.f64 m #s(literal -2 binary64)) (/.f64 m v))

eval147.0ms (1.7%)

Memory
47.7MiB live, 232.6MiB allocated
Compiler

Compiled 40 293 to 4 403 computations (89.1% saved)

prune126.0ms (1.4%)

Memory
-31.0MiB live, 207.0MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1 216101 226
Fresh516
Picked325
Done000
Total1 224131 237
Accuracy
100.0%
Counts
1 237 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
20.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)
54.3%
(/.f64 (*.f64 m (*.f64 m m)) v)
47.1%
(/.f64 m v)
75.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m)))
71.5%
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
71.4%
(+.f64 #s(literal -1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))))
54.3%
(*.f64 (/.f64 m (/.f64 v m)) m)
54.4%
(*.f64 (/.f64 m v) (*.f64 m m))
20.5%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 m v))
75.5%
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
54.3%
(*.f64 m (/.f64 (*.f64 m m) v))
24.3%
#s(literal -1 binary64)
Compiler

Compiled 234 to 142 computations (39.3% saved)

simplify271.0ms (3.1%)

Memory
23.7MiB live, 265.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) m)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) m) m)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)
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 m m)
cost-diff0
(/.f64 m v)
cost-diff0
(*.f64 (/.f64 m v) (*.f64 m m))
cost-diff0
(/.f64 m v)
cost-diff0
(*.f64 m (-.f64 #s(literal 1 binary64) m))
cost-diff0
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
cost-diff0
(/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m)))
Rules
6 996×accelerator-lowering-fma.f32
6 996×accelerator-lowering-fma.f64
2 070×*-lowering-*.f32
2 070×*-lowering-*.f64
1 438×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01698
13796
28494
320594
481794
5200894
6427894
7610094
8745694
9776894
10790994
11793894
12798994
0810292
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ (/ v (* m (- 1 m))) (- 1 m)))
1
(/ (/ v (* m (- 1 m))) (- 1 m))
(/ v (* m (- 1 m)))
v
(* m (- 1 m))
m
(- 1 m)
(/ m v)
m
v
(* (/ m v) (* m m))
(/ m v)
m
v
(* m m)
(+ -1 (+ m (/ m v)))
-1
(+ m (/ m v))
m
(/ m v)
v
(/ (* (- 1 m) m) v)
(* (- 1 m) m)
(- 1 m)
1
m
v
Outputs
(/ 1 (/ (/ v (* m (- 1 m))) (- 1 m)))
(/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) (*.f64 m (-.f64 #s(literal 2 binary64) m)))))
1
#s(literal 1 binary64)
(/ (/ v (* m (- 1 m))) (- 1 m))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m (-.f64 #s(literal 2 binary64) m)))))
(/ v (* m (- 1 m)))
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
v
(* m (- 1 m))
(*.f64 m (-.f64 #s(literal 1 binary64) m))
m
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
(/ m v)
(/.f64 m v)
m
v
(* (/ m v) (* m m))
(*.f64 m (/.f64 (*.f64 m m) v))
(/ m v)
(/.f64 m v)
m
v
(* m m)
(*.f64 m m)
(+ -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
(/ (* (- 1 m) m) v)
(/.f64 m (/.f64 v (-.f64 #s(literal 1 binary64) m)))
(* (- 1 m) m)
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
1
#s(literal 1 binary64)
m
v

localize60.0ms (0.7%)

Memory
8.0MiB live, 82.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) m)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) m) m)
accuracy99.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)
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 m v)
accuracy100.0%
(*.f64 m m)
accuracy98.6%
(*.f64 (/.f64 m v) (*.f64 m m))
accuracy100.0%
(/.f64 m v)
accuracy100.0%
(*.f64 m (-.f64 #s(literal 1 binary64) m))
accuracy99.9%
(/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))
accuracy99.9%
(/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m)))
Samples
35.0ms256×0valid
Compiler

Compiled 100 to 18 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 8.0ms (44.4% of total)
ival-mult: 6.0ms (33.3% of total)
ival-sub: 2.0ms (11.1% of total)
ival-add: 2.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-24.7MiB live, 12.8MiB allocated
Counts
12 → 240
Calls
Call 1
Inputs
#<alt (/ 1 (/ (/ v (* m (- 1 m))) (- 1 m)))>
#<alt (/ (/ v (* m (- 1 m))) (- 1 m))>
#<alt (/ v (* m (- 1 m)))>
#<alt (* m (- 1 m))>
#<alt (/ m v)>
#<alt (* (/ m v) (* m m))>
#<alt (* m m)>
#<alt (+ -1 (+ m (/ m v)))>
#<alt (+ m (/ m v))>
#<alt (/ (* (- 1 m) m) v)>
#<alt (* (- 1 m) m)>
#<alt (- 1 m)>
Outputs
#<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 (+ (* -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 (/ v (* m (pow (- 1 m) 2)))>
#<alt (/ v (* m (pow (- 1 m) 2)))>
#<alt (/ v (* m (pow (- 1 m) 2)))>
#<alt (/ v (* m (pow (- 1 m) 2)))>
#<alt (/ v (* m (pow (- 1 m) 2)))>
#<alt (/ v (* m (pow (- 1 m) 2)))>
#<alt (/ v (* m (pow (- 1 m) 2)))>
#<alt (/ v (* m (pow (- 1 m) 2)))>
#<alt (/ v (* m (pow (- 1 m) 2)))>
#<alt (/ v (* m (pow (- 1 m) 2)))>
#<alt (/ v (* m (pow (- 1 m) 2)))>
#<alt (/ v (* m (pow (- 1 m) 2)))>
#<alt (/ v m)>
#<alt (/ (+ v (* 2 (* m v))) m)>
#<alt (/ (+ v (* m (- (* -1 (* m (+ v (* -4 v)))) (* -2 v)))) m)>
#<alt (/ (+ v (* m (- (* m (- (* -1 (* m (+ (* 2 v) (* 2 (+ v (* -4 v)))))) (+ v (* -4 v)))) (* -2 v)))) m)>
#<alt (/ v (pow m 3))>
#<alt (/ (+ v (* 2 (/ v m))) (pow m 3))>
#<alt (/ (- (+ v (* -1 (/ (+ v (* -4 v)) (pow m 2)))) (* -2 (/ v m))) (pow m 3))>
#<alt (/ (- (+ v (* -1 (/ (+ (* 2 v) (* 2 (+ v (* -4 v)))) (pow m 3)))) (+ (* -4 (/ v (pow m 2))) (+ (* -2 (/ v m)) (/ v (pow m 2))))) (pow m 3))>
#<alt (/ v (pow m 3))>
#<alt (* -1 (/ (+ (* -2 (/ v m)) (* -1 v)) (pow m 3)))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -1 (/ (+ v (* -4 v)) m)) (* 2 v)) m))) (pow m 3)))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -1 (/ (+ v (+ (* -4 v) (* -1 (/ (+ (* -2 v) (* -2 (+ v (* -4 v)))) m)))) m)) (* 2 v)) m))) (pow m 3)))>
#<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 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 (/ 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)>
#<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 -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 (+ (* -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

60 calls:

TimeVariablePointExpression
5.0ms
v
@0
(+ -1 (+ m (/ m v)))
1.0ms
v
@-inf
(/ (/ v (* m (- 1 m))) (- 1 m))
0.0ms
v
@0
(/ v (* m (- 1 m)))
0.0ms
v
@0
(/ (/ v (* m (- 1 m))) (- 1 m))
0.0ms
m
@inf
(/ (/ v (* m (- 1 m))) (- 1 m))

rewrite390.0ms (4.4%)

Memory
37.6MiB live, 515.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 562×accelerator-lowering-fma.f32
6 562×accelerator-lowering-fma.f64
5 000×*-lowering-*.f32
5 000×*-lowering-*.f64
4 510×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01674
110572
283768
0891668
Stop Event
iter limit
node limit
Counts
12 → 1 257
Calls
Call 1
Inputs
(/ 1 (/ (/ v (* m (- 1 m))) (- 1 m)))
(/ (/ v (* m (- 1 m))) (- 1 m))
(/ v (* m (- 1 m)))
(* m (- 1 m))
(/ m v)
(* (/ m v) (* m m))
(* m m)
(+ -1 (+ m (/ m v)))
(+ m (/ m v))
(/ (* (- 1 m) m) v)
(* (- 1 m) m)
(- 1 m)
Outputs
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) (*.f64 m m))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)) (*.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v)))
(+.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)))
(+.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v) m))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)) (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 m v)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)) (/.f64 (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 m v)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) (/.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 #s(literal 1 binary64) m)))) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m)) (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (/.f64 (/.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) 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 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 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (/.f64 (*.f64 m (*.f64 m m)) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) (*.f64 m (-.f64 #s(literal 1 binary64) m)))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) m)) (*.f64 m (-.f64 #s(literal 1 binary64) m)))) (/.f64 (*.f64 m m) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) m)) (*.f64 m (-.f64 #s(literal 1 binary64) m)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) (*.f64 m m))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)) (*.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v)))
(fma.f64 #s(literal 1 binary64) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v 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 m (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) (*.f64 m m))))
(fma.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v)))
(fma.f64 m (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) m)) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)))
(fma.f64 m (*.f64 (+.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 m (*.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) v)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) (*.f64 m m))))
(fma.f64 m (*.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) v)) (*.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 m (*.f64 (+.f64 m #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) v)) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v)))
(fma.f64 m (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) #s(literal 1 binary64)) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 m (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) (*.f64 m m))))
(fma.f64 m (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) #s(literal 1 binary64)) (*.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 m (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) #s(literal 1 binary64)) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v)))
(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 #s(literal 1 binary64) m) (/.f64 m v) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) (*.f64 m m))))
(fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v) (*.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v)))
(fma.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v m))) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)))
(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 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) (*.f64 m m))))
(fma.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 #s(literal 1 binary64) v) (*.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 #s(literal 1 binary64) v) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v)))
(fma.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (-.f64 #s(literal 0 binary64) (/.f64 m v)) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)))
(fma.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) (*.f64 m m))))
(fma.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) (*.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v)))
(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 v) (-.f64 #s(literal 1 binary64) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) (*.f64 m m))))
(fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) (*.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v)))
(fma.f64 (/.f64 m v) (*.f64 m (+.f64 m #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) (/.f64 m v)) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) (*.f64 m m))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v) (*.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v)))
(fma.f64 (-.f64 #s(literal 0 binary64) m) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)) (/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m)))
(fma.f64 (-.f64 #s(literal 0 binary64) m) (/.f64 (+.f64 m #s(literal -1 binary64)) v) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) m) (/.f64 (+.f64 m #s(literal -1 binary64)) v) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) (*.f64 m m))))
(fma.f64 (-.f64 #s(literal 0 binary64) m) (/.f64 (+.f64 m #s(literal -1 binary64)) v) (*.f64 (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) m) (/.f64 (+.f64 m #s(literal -1 binary64)) v) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -1 binary64))) v)))
(fma.f64 (-.f64 #s(literal 0 binary64) m) (*.f64 (/.f64 #s(literal -1 binary64) v) (-.f64 #s(literal 1 binary64) m)) (/.f64 m (/.f64 v (*.f64 m (+.f64 m #s(literal -1 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) m) (*.f64 (/.f64 #s(literal -1 binary64) v) (-.f64 #s(literal 1 binary64) m)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (-.f64 #s(literal 0 binary64) (*.f64 m m))))
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) m)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) m) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) (neg.f64 (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m)) (neg.f64 (/.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) m))))
(fma.f64 m #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) m #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) m) #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (+.f64 m #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)))
(/.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 m #s(literal -1 binary64))))
(/.f64 (+.f64 m #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (+.f64 #s(literal 1 binary64) m))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (neg.f64 (-.f64 #s(literal -1 binary64) m)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m)) (-.f64 #s(literal -1 binary64) m))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))) (*.f64 m (*.f64 m m)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m)) (*.f64 (+.f64 #s(literal 1 binary64) m) (*.f64 m m))) (*.f64 (+.f64 #s(literal 1 binary64) m) (+.f64 #s(literal 1 binary64) m)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m))) (+.f64 #s(literal 1 binary64) m))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m))) (neg.f64 (-.f64 #s(literal -1 binary64) m)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 m (*.f64 m m))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))) (+.f64 (*.f64 (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) m)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m))) (+.f64 (*.f64 (/.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) m)) (/.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) m))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m)) (/.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) m))))))
(/.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 #s(literal 1 binary64) m)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))) (*.f64 (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) (/.f64 (*.f64 m (*.f64 m m)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m))) (*.f64 (/.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) m)) (/.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) m)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m)) (/.f64 (*.f64 m m) (+.f64 #s(literal 1 binary64) m))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 m m))) (-.f64 #s(literal -1 binary64) m))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) m))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) (*.f64 (*.f64 m m) (*.f64 m (*.f64 m (*.f64 m m)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m (*.f64 m m)) (+.f64 (*.f64 m (*.f64 m m)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (*.f64 m (*.f64 m (*.f64 m m))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))) (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (*.f64 m (*.f64 m (*.f64 m m))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 m m) (+.f64 (*.f64 m m) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m (*.f64 m m)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m))) (+.f64 #s(literal 1 binary64) (*.f64 m m)))
(pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m))
(*.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 m #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) m)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) m)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 m m))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) m)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) m)) #s(literal -1/2 binary64)))

simplify436.0ms (4.9%)

Memory
5.9MiB live, 469.5MiB allocated
Algorithm
egg-herbie
Rules
13 188×accelerator-lowering-fma.f32
13 188×accelerator-lowering-fma.f64
4 552×*-lowering-*.f32
4 552×*-lowering-*.f64
1 974×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861742
15441580
216071544
364731544
084941516
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ (* 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 (+ (* -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))))
(/ 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 (* 2 (* m v))) m)
(/ (+ v (* m (- (* -1 (* m (+ v (* -4 v)))) (* -2 v)))) m)
(/ (+ v (* m (- (* m (- (* -1 (* m (+ (* 2 v) (* 2 (+ v (* -4 v)))))) (+ v (* -4 v)))) (* -2 v)))) m)
(/ v (pow m 3))
(/ (+ v (* 2 (/ v m))) (pow m 3))
(/ (- (+ v (* -1 (/ (+ v (* -4 v)) (pow m 2)))) (* -2 (/ v m))) (pow m 3))
(/ (- (+ v (* -1 (/ (+ (* 2 v) (* 2 (+ v (* -4 v)))) (pow m 3)))) (+ (* -4 (/ v (pow m 2))) (+ (* -2 (/ v m)) (/ v (pow m 2))))) (pow m 3))
(/ v (pow m 3))
(* -1 (/ (+ (* -2 (/ v m)) (* -1 v)) (pow m 3)))
(* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -1 (/ (+ v (* -4 v)) m)) (* 2 v)) m))) (pow m 3)))
(* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -1 (/ (+ v (+ (* -4 v) (* -1 (/ (+ (* -2 v) (* -2 (+ v (* -4 v)))) m)))) m)) (* 2 v)) m))) (pow m 3)))
(/ 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))
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))
(/ 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)
(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)
-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 (+ (* -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
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
(*.f64 m (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v))
(/ (* m (pow (- 1 m) 2)) v)
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(/.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)

eval227.0ms (2.6%)

Memory
-13.1MiB live, 377.7MiB allocated
Compiler

Compiled 32 545 to 3 528 computations (89.2% saved)

prune189.0ms (2.1%)

Memory
21.5MiB live, 390.8MiB allocated
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New1 72981 737
Fresh336
Picked235
Done022
Total1 734161 750
Accuracy
100.0%
Counts
1 750 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.0%
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m))
75.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
20.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)
54.3%
(/.f64 (*.f64 m (*.f64 m m)) v)
47.1%
(/.f64 m v)
54.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v m) (*.f64 m m)))
47.1%
(/.f64 #s(literal 1 binary64) (/.f64 v m))
47.1%
(+.f64 m (/.f64 m v))
71.5%
(+.f64 #s(literal -1 binary64) (/.f64 m v))
54.3%
(*.f64 (/.f64 m (/.f64 v m)) m)
54.4%
(*.f64 (/.f64 m v) (*.f64 m m))
47.0%
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
20.5%
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
75.5%
(*.f64 m (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v))
54.3%
(*.f64 m (/.f64 (*.f64 m m) v))
24.3%
#s(literal -1 binary64)
Compiler

Compiled 237 to 148 computations (37.6% saved)

simplify435.0ms (4.9%)

Memory
-8.2MiB live, 224.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 m m)
cost-diff0
(*.f64 m (*.f64 m m))
cost-diff0
(/.f64 (*.f64 m (*.f64 m 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 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 #s(literal 1 binary64) m)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v)
cost-diff0
(*.f64 m (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v))
Rules
6 584×accelerator-lowering-fma.f32
6 584×accelerator-lowering-fma.f64
2 566×unsub-neg
1 792×*-lowering-*.f32
1 792×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01684
13480
25980
318280
442980
5129880
6293680
7546780
8625480
9645280
10654280
11655180
12655180
13659180
14659180
15706380
16726380
17727580
18727780
19727780
20727780
0727777
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* m (/ (* (- 1 m) (- 1 m)) v))
m
(/ (* (- 1 m) (- 1 m)) v)
(* (- 1 m) (- 1 m))
(- 1 m)
1
v
(* (/ 1 v) m)
(/ 1 v)
1
v
m
(+ m (/ m v))
m
(/ m v)
v
(* m (/ (* m m) v))
m
(/ (* m m) v)
(* m m)
v
(/ (* m (* m m)) v)
(* m (* m m))
m
(* m m)
v
Outputs
(* m (/ (* (- 1 m) (- 1 m)) v))
(*.f64 m (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v))
m
(/ (* (- 1 m) (- 1 m)) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v)
(* (- 1 m) (- 1 m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))
(- 1 m)
(-.f64 #s(literal 1 binary64) m)
1
#s(literal 1 binary64)
v
(* (/ 1 v) m)
(/.f64 m v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
v
m
(+ m (/ m v))
(+.f64 m (/.f64 m v))
m
(/ m v)
(/.f64 m v)
v
(* m (/ (* m m) v))
(/.f64 (*.f64 m (*.f64 m m)) v)
m
(/ (* m m) v)
(/.f64 (*.f64 m m) v)
(* m m)
(*.f64 m m)
v
(/ (* m (* m m)) v)
(/.f64 (*.f64 m (*.f64 m m)) v)
(* m (* m m))
(*.f64 m (*.f64 m m))
m
(* m m)
(*.f64 m m)
v

localize53.0ms (0.6%)

Memory
-7.6MiB live, 72.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 m m)
accuracy99.8%
(*.f64 m (*.f64 m m))
accuracy95.6%
(/.f64 (*.f64 m (*.f64 m m)) v)
accuracy100.0%
(*.f64 m m)
accuracy99.9%
(*.f64 m (/.f64 (*.f64 m m) v))
accuracy88.5%
(/.f64 (*.f64 m m) v)
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 #s(literal 1 binary64) m)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m))
accuracy100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v)
accuracy99.7%
(*.f64 m (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v))
Samples
34.0ms256×0valid
Compiler

Compiled 90 to 18 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 8.0ms (38.7% of total)
ival-mult: 8.0ms (38.7% of total)
ival-sub: 3.0ms (14.5% of total)
ival-add: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.5MiB live, 8.6MiB allocated
Counts
13 → 252
Calls
Call 1
Inputs
#<alt (* m (/ (* (- 1 m) (- 1 m)) v))>
#<alt (/ (* (- 1 m) (- 1 m)) v)>
#<alt (* (- 1 m) (- 1 m))>
#<alt (- 1 m)>
#<alt (* (/ 1 v) m)>
#<alt (/ 1 v)>
#<alt (+ m (/ m v))>
#<alt (/ m v)>
#<alt (* m (/ (* m m) v))>
#<alt (/ (* m m) v)>
#<alt (* m m)>
#<alt (/ (* m (* m m)) v)>
#<alt (* m (* 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 (/ (* 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 (/ 1 v)>
#<alt (+ (* -2 (/ m v)) (/ 1 v))>
#<alt (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v))>
#<alt (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v))>
#<alt (/ (pow m 2) v)>
#<alt (* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (* (pow m 2) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))>
#<alt (* (pow m 2) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))>
#<alt (/ (pow m 2) v)>
#<alt (* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))>
#<alt (* (pow m 2) (+ (* -1 (/ (- (* 2 (/ 1 v)) (/ 1 (* m v))) m)) (/ 1 v)))>
#<alt (* (pow m 2) (+ (* -1 (/ (- (* 2 (/ 1 v)) (/ 1 (* m v))) m)) (/ 1 v)))>
#<alt (/ (pow (- 1 m) 2) v)>
#<alt (/ (pow (- 1 m) 2) v)>
#<alt (/ (pow (- 1 m) 2) v)>
#<alt (/ (pow (- 1 m) 2) v)>
#<alt (/ (pow (- 1 m) 2) v)>
#<alt (/ (pow (- 1 m) 2) v)>
#<alt (/ (pow (- 1 m) 2) v)>
#<alt (/ (pow (- 1 m) 2) v)>
#<alt (/ (pow (- 1 m) 2) v)>
#<alt (/ (pow (- 1 m) 2) v)>
#<alt (/ (pow (- 1 m) 2) v)>
#<alt (/ (pow (- 1 m) 2) v)>
#<alt 1>
#<alt (+ 1 (* -2 m))>
#<alt (+ 1 (* m (- m 2)))>
#<alt (+ 1 (* m (- m 2)))>
#<alt (pow m 2)>
#<alt (* (pow m 2) (- 1 (* 2 (/ 1 m))))>
#<alt (* (pow m 2) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))>
#<alt (* (pow m 2) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))>
#<alt (pow m 2)>
#<alt (* (pow m 2) (- 1 (* 2 (/ 1 m))))>
#<alt (* (pow m 2) (+ 1 (* -1 (/ (- 2 (/ 1 m)) m))))>
#<alt (* (pow m 2) (+ 1 (* -1 (/ (- 2 (/ 1 m)) m))))>
#<alt 1>
#<alt (+ 1 (* -1 m))>
#<alt (+ 1 (* -1 m))>
#<alt (+ 1 (* -1 m))>
#<alt (* -1 m)>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* m (- (/ 1 m) 1))>
#<alt (* -1 m)>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (* -1 (* m (- 1 (/ 1 m))))>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ m v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (* m (+ 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 (/ (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 (/ (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 3)>
#<alt (pow m 3)>
#<alt (pow m 3)>
#<alt (pow m 3)>
#<alt (pow m 3)>
#<alt (pow m 3)>
#<alt (pow m 3)>
#<alt (pow m 3)>
#<alt (pow m 3)>
#<alt (pow m 3)>
#<alt (pow m 3)>
#<alt (pow m 3)>
Calls

63 calls:

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

rewrite291.0ms (3.3%)

Memory
23.1MiB live, 327.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 820×accelerator-lowering-fma.f32
3 820×accelerator-lowering-fma.f64
3 136×*-lowering-*.f32
3 136×*-lowering-*.f64
2 272×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01659
18259
257059
3613659
0909759
Stop Event
iter limit
node limit
Counts
13 → 866
Calls
Call 1
Inputs
(* m (/ (* (- 1 m) (- 1 m)) v))
(/ (* (- 1 m) (- 1 m)) v)
(* (- 1 m) (- 1 m))
(- 1 m)
(* (/ 1 v) m)
(/ 1 v)
(+ m (/ m v))
(/ m v)
(* m (/ (* m m) v))
(/ (* m m) v)
(* m m)
(/ (* m (* m m)) v)
(* m (* m m))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 v (*.f64 m (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 m (/.f64 v (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64))))))
(/.f64 m (/.f64 v (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 m (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (*.f64 m (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64))) (/.f64 v m))
(/.f64 (/.f64 m (/.f64 v (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (/.f64 m v) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (*.f64 m (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64)))))))
(/.f64 (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal -1 binary64))) (/.f64 v m))
(/.f64 (-.f64 #s(literal 0 binary64) m) (/.f64 v (*.f64 (+.f64 m #s(literal 1 binary64)) (+.f64 m #s(literal 1 binary64)))))
(/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) (/.f64 v (+.f64 m #s(literal -1 binary64))))
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(*.f64 (/.f64 m v) (-.f64 #s(literal 0 binary64) m))
(*.f64 (/.f64 m v) (/.f64 m #s(literal 1 binary64)))
(*.f64 (/.f64 m v) (/.f64 (-.f64 #s(literal 0 binary64) m) #s(literal 1 binary64)))
(*.f64 (*.f64 m m) (/.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal -1 binary64) (/.f64 m (/.f64 v m)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (-.f64 #s(literal 0 binary64) m) (/.f64 m v))
(*.f64 (pow.f64 v #s(literal -1/2 binary64)) (*.f64 (pow.f64 v #s(literal -1/2 binary64)) (*.f64 m m)))
(*.f64 (/.f64 m (/.f64 v m)) #s(literal 1 binary64))
(*.f64 (/.f64 m (/.f64 v m)) #s(literal -1 binary64))
(*.f64 (/.f64 (*.f64 m m) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 m #s(literal 1 binary64)) (/.f64 m v))
(*.f64 (/.f64 m #s(literal -1 binary64)) (/.f64 m v))
(*.f64 (/.f64 (*.f64 m m) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)) (/.f64 m v))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (pow.f64 (/.f64 v (*.f64 m m)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 v (*.f64 m m)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 v #s(literal -1/2 binary64)) m) (*.f64 (pow.f64 v #s(literal -1/2 binary64)) m))
(*.f64 (*.f64 m (pow.f64 v #s(literal -1/2 binary64))) (*.f64 m (pow.f64 v #s(literal -1/2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) (pow.f64 v #s(literal -1/2 binary64))) (pow.f64 v #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 m m) (pow.f64 v #s(literal -1/2 binary64))) (pow.f64 v #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 m)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 m)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) m)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 m))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 m) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 m))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 m m)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 m m)))
(pow.f64 m #s(literal 2 binary64))
(pow.f64 (*.f64 m m) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) m) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 m)) #s(literal 2 binary64))
(*.f64 m m)
(*.f64 #s(literal 1 binary64) (*.f64 m m))
(*.f64 (*.f64 m m) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 m m)))
(*.f64 (-.f64 #s(literal 0 binary64) m) (-.f64 #s(literal 0 binary64) m))
(*.f64 (exp.f64 (log.f64 m)) (exp.f64 (log.f64 m)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)) m)
(exp.f64 (*.f64 (log.f64 (/.f64 v (*.f64 m (*.f64 m m)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 3 binary64) (log.f64 m))))
(exp.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 m)) (log.f64 (/.f64 #s(literal 1 binary64) v))))
(-.f64 #s(literal 0 binary64) (/.f64 m (/.f64 v (*.f64 m m))))
(-.f64 (/.f64 #s(literal 0 binary64) v) (/.f64 m (/.f64 v (*.f64 m m))))
(neg.f64 (/.f64 m (/.f64 v (*.f64 m m))))
(/.f64 m (/.f64 v (*.f64 m m)))
(/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 m (*.f64 m m))))
(/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))
(/.f64 (/.f64 m v) (/.f64 #s(literal 1 binary64) (*.f64 m m)))
(/.f64 (*.f64 m m) (/.f64 v m))
(/.f64 (/.f64 m (/.f64 v (*.f64 m m))) #s(literal 1 binary64))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 #s(literal -1 binary64) (/.f64 v (*.f64 m (*.f64 m m))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) (/.f64 v m))
(/.f64 (-.f64 #s(literal 0 binary64) m) (/.f64 v (*.f64 m m)))
(/.f64 (/.f64 (*.f64 m (*.f64 m m)) #s(literal -1 binary64)) v)
(pow.f64 (/.f64 m (/.f64 v (*.f64 m m))) #s(literal 1 binary64))
(pow.f64 (/.f64 v (*.f64 m (*.f64 m m))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 m (/.f64 v (*.f64 m m))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal -1/2 binary64)) (pow.f64 m #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 m #s(literal 3/2 binary64)) (pow.f64 v #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.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) (/.f64 m (/.f64 #s(literal 1 binary64) (*.f64 m m))))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (*.f64 m (*.f64 m m)) #s(literal 1 binary64)))
(*.f64 (/.f64 m v) (*.f64 m m))
(*.f64 (/.f64 m v) (-.f64 #s(literal 0 binary64) (*.f64 m m)))
(*.f64 (/.f64 m v) (/.f64 (*.f64 m m) #s(literal 1 binary64)))
(*.f64 (/.f64 m v) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) #s(literal 1 binary64)))
(*.f64 (*.f64 m m) (/.f64 m v))
(*.f64 (/.f64 m (/.f64 v (*.f64 m m))) #s(literal 1 binary64))
(*.f64 (/.f64 m (/.f64 v (*.f64 m m))) #s(literal -1 binary64))
(*.f64 (*.f64 m (*.f64 m m)) (/.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal -1 binary64) (/.f64 m (/.f64 v (*.f64 m m))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) (/.f64 m v))
(*.f64 (-.f64 #s(literal 0 binary64) m) (/.f64 m (/.f64 v m)))
(*.f64 (pow.f64 v #s(literal -1/2 binary64)) (*.f64 (pow.f64 v #s(literal -1/2 binary64)) (*.f64 m (*.f64 m m))))
(*.f64 (pow.f64 m #s(literal 3/2 binary64)) (/.f64 (pow.f64 m #s(literal 3/2 binary64)) v))
(*.f64 (pow.f64 m #s(literal 3/2 binary64)) (*.f64 (pow.f64 m #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (/.f64 m (/.f64 v m)) (/.f64 m #s(literal 1 binary64)))
(*.f64 (/.f64 m (/.f64 v m)) (/.f64 (-.f64 #s(literal 0 binary64) m) #s(literal 1 binary64)))
(*.f64 (/.f64 m #s(literal 1 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 (/.f64 m #s(literal -1 binary64)) (/.f64 m (/.f64 v m)))
(*.f64 (/.f64 (*.f64 m m) #s(literal -1 binary64)) (/.f64 m v))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) #s(literal -1 binary64)) (/.f64 m v))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) m) #s(literal -1 binary64)) (/.f64 m (/.f64 v m)))
(*.f64 (/.f64 (*.f64 m (*.f64 m m)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 (*.f64 m (*.f64 m m)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 (pow.f64 m #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 m #s(literal 3/2 binary64)) v))
(*.f64 (pow.f64 (/.f64 m (/.f64 v (*.f64 m m))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 m (/.f64 v (*.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 (pow.f64 m #s(literal 3/2 binary64)) (pow.f64 v #s(literal -1/2 binary64))) (*.f64 (pow.f64 m #s(literal 3/2 binary64)) (pow.f64 v #s(literal -1/2 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 m (*.f64 m m)) (pow.f64 v #s(literal -1/2 binary64))) (pow.f64 v #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 m (*.f64 m m)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) m)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 m)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 m)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 m #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 m))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (log.f64 m))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 m) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 m) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 m (*.f64 m m)))
(neg.f64 (*.f64 m (*.f64 m m)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 m m) (*.f64 m (*.f64 m (*.f64 m m))))) (*.f64 m (*.f64 m m)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 m (*.f64 m m)) (*.f64 (*.f64 m m) (*.f64 m (*.f64 m (*.f64 m m)))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 m m) (*.f64 m (*.f64 m (*.f64 m m)))) (*.f64 #s(literal 0 binary64) (*.f64 m (*.f64 m m))))))
(pow.f64 m #s(literal 3 binary64))
(pow.f64 (*.f64 m m) #s(literal 3/2 binary64))
(pow.f64 (*.f64 m (*.f64 m m)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) m) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))) #s(literal -1 binary64))
(pow.f64 (pow.f64 m #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) m) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 m)) #s(literal 3 binary64))
(*.f64 m (*.f64 m m))
(*.f64 m (-.f64 #s(literal 0 binary64) (*.f64 m m)))
(*.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m)))
(*.f64 (*.f64 m m) m)
(*.f64 (*.f64 m m) (-.f64 #s(literal 0 binary64) m))
(*.f64 (*.f64 m (*.f64 m m)) #s(literal 1 binary64))
(*.f64 (*.f64 m (*.f64 m m)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 m (*.f64 m m)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) m)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 m m)) (-.f64 #s(literal 0 binary64) m))
(*.f64 (-.f64 #s(literal 0 binary64) m) (*.f64 m m))
(*.f64 (-.f64 #s(literal 0 binary64) m) (-.f64 #s(literal 0 binary64) (*.f64 m m)))
(*.f64 (pow.f64 m #s(literal 3/2 binary64)) (pow.f64 m #s(literal 3/2 binary64)))
(*.f64 (pow.f64 m #s(literal 3/2 binary64)) (neg.f64 (pow.f64 m #s(literal 3/2 binary64))))
(*.f64 (pow.f64 m #s(literal 3/2 binary64)) (*.f64 (pow.f64 m #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) m) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) m) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 m #s(literal 3/2 binary64))) (pow.f64 m #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 m #s(literal 3/2 binary64))) (pow.f64 m #s(literal 3/2 binary64)))

simplify310.0ms (3.5%)

Memory
-13.8MiB live, 451.8MiB allocated
Algorithm
egg-herbie
Rules
11 250×accelerator-lowering-fma.f32
11 250×accelerator-lowering-fma.f64
3 310×*-lowering-*.f32
3 310×*-lowering-*.f64
1 326×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831326
12291290
26161264
321551236
458081224
082041200
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(/ m v)
(* m (+ (* -2 (/ m v)) (/ 1 v)))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(* m (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 (* m v)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ 1 v)
(+ (* -2 (/ m v)) (/ 1 v))
(+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v))
(+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v))
(/ (pow m 2) v)
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 2) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(* (pow m 2) (- (+ (/ 1 v) (/ 1 (* (pow m 2) v))) (/ 2 (* m v))))
(/ (pow m 2) v)
(* (pow m 2) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 2) (+ (* -1 (/ (- (* 2 (/ 1 v)) (/ 1 (* m v))) m)) (/ 1 v)))
(* (pow m 2) (+ (* -1 (/ (- (* 2 (/ 1 v)) (/ 1 (* m v))) m)) (/ 1 v)))
(/ (pow (- 1 m) 2) v)
(/ (pow (- 1 m) 2) v)
(/ (pow (- 1 m) 2) v)
(/ (pow (- 1 m) 2) v)
(/ (pow (- 1 m) 2) v)
(/ (pow (- 1 m) 2) v)
(/ (pow (- 1 m) 2) v)
(/ (pow (- 1 m) 2) v)
(/ (pow (- 1 m) 2) v)
(/ (pow (- 1 m) 2) v)
(/ (pow (- 1 m) 2) v)
(/ (pow (- 1 m) 2) v)
1
(+ 1 (* -2 m))
(+ 1 (* m (- m 2)))
(+ 1 (* m (- m 2)))
(pow m 2)
(* (pow m 2) (- 1 (* 2 (/ 1 m))))
(* (pow m 2) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(* (pow m 2) (- (+ 1 (/ 1 (pow m 2))) (* 2 (/ 1 m))))
(pow m 2)
(* (pow m 2) (- 1 (* 2 (/ 1 m))))
(* (pow m 2) (+ 1 (* -1 (/ (- 2 (/ 1 m)) m))))
(* (pow m 2) (+ 1 (* -1 (/ (- 2 (/ 1 m)) m))))
1
(+ 1 (* -1 m))
(+ 1 (* -1 m))
(+ 1 (* -1 m))
(* -1 m)
(* m (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* -1 m)
(* -1 (* m (- 1 (/ 1 m))))
(* -1 (* m (- 1 (/ 1 m))))
(* -1 (* m (- 1 (/ 1 m))))
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(* m (+ 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)
(/ (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)
(/ (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 3)
(pow m 3)
(pow m 3)
(pow m 3)
(pow m 3)
(pow m 3)
(pow m 3)
(pow m 3)
(pow m 3)
(pow m 3)
(pow m 3)
(pow m 3)
Outputs
(/ m v)
(/.f64 m v)
(* m (+ (* -2 (/ m v)) (/ 1 v)))
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m
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(pow m 3)
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(pow m 3)
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(pow m 3)
(*.f64 m (*.f64 m m))
(pow m 3)
(*.f64 m (*.f64 m m))
(pow m 3)
(*.f64 m (*.f64 m m))
(pow m 3)
(*.f64 m (*.f64 m m))
(pow m 3)
(*.f64 m (*.f64 m m))
(pow m 3)
(*.f64 m (*.f64 m m))
(pow m 3)
(*.f64 m (*.f64 m m))
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(pow m 3)
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(pow m 3)
(*.f64 m (*.f64 m m))

eval191.0ms (2.2%)

Memory
30.1MiB live, 260.2MiB allocated
Compiler

Compiled 19 681 to 2 512 computations (87.2% saved)

prune132.0ms (1.5%)

Memory
-11.0MiB live, 265.3MiB allocated
Pruning

18 alts after pruning (8 fresh and 10 done)

PrunedKeptTotal
New1 25731 260
Fresh156
Picked055
Done055
Total1 258181 276
Accuracy
100.0%
Counts
1 276 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(/.f64 (/.f64 m v) (/.f64 #s(literal 1 binary64) (*.f64 m m)))
20.0%
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m))
75.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
20.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)
54.3%
(/.f64 (*.f64 m (*.f64 m m)) v)
47.1%
(/.f64 m v)
47.1%
(/.f64 #s(literal 1 binary64) (/.f64 v m))
47.1%
(+.f64 m (/.f64 m v))
71.5%
(+.f64 #s(literal -1 binary64) (/.f64 m v))
54.3%
(*.f64 (/.f64 m (/.f64 v m)) m)
54.4%
(*.f64 (/.f64 m v) (*.f64 m m))
47.0%
(*.f64 (/.f64 #s(literal 1 binary64) v) m)
20.5%
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
75.5%
(*.f64 m (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v))
54.5%
(*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v))
54.3%
(*.f64 m (/.f64 (*.f64 m m) v))
4.4%
m
24.3%
#s(literal -1 binary64)
Compiler

Compiled 443 to 176 computations (60.3% saved)

regimes30.0ms (0.3%)

Memory
9.9MiB live, 48.6MiB allocated
Counts
33 → 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 m (/.f64 m v)))
(*.f64 m (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (*.f64 m m))
(*.f64 (/.f64 m (/.f64 v m)) m)
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m))
(*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 m 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 #s(literal -1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v m) (*.f64 m m)))
(/.f64 (/.f64 m v) (/.f64 #s(literal 1 binary64) (*.f64 m m)))
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(*.f64 m (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.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 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 m #s(literal 1 binary64)) v) 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 #s(literal 1 binary64) (/.f64 (/.f64 v (*.f64 m (-.f64 #s(literal 1 binary64) m))) (-.f64 #s(literal 1 binary64) m)))
(/.f64 (+.f64 m #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (*.f64 (/.f64 m v) (+.f64 m #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 m #s(literal 1 binary64)))) (*.f64 (+.f64 (/.f64 (*.f64 m (+.f64 m #s(literal 1 binary64))) v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 m (*.f64 m m))))))
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Calls

3 calls:

10.0ms
m
9.0ms
v
8.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Results
AccuracySegmentsBranch
99.9%1m
99.9%1v
99.9%1(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
Compiler

Compiled 21 to 12 computations (42.9% saved)

regimes20.0ms (0.2%)

Memory
-9.8MiB live, 30.2MiB allocated
Counts
28 → 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 m (/.f64 m v)))
(*.f64 m (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (*.f64 m m))
(*.f64 (/.f64 m (/.f64 v m)) m)
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m))
(*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 m 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 #s(literal -1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v m) (*.f64 m m)))
(/.f64 (/.f64 m v) (/.f64 #s(literal 1 binary64) (*.f64 m m)))
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(*.f64 m (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.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 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 m #s(literal 1 binary64)) v) m) #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 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v)
Calls

2 calls:

10.0ms
m
8.0ms
v
Results
AccuracySegmentsBranch
100.0%2m
77.9%2v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
26 → 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 m (/.f64 m v)))
(*.f64 m (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (*.f64 m m))
(*.f64 (/.f64 m (/.f64 v m)) m)
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m))
(*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 m 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 #s(literal -1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v m) (*.f64 m m)))
(/.f64 (/.f64 m v) (/.f64 #s(literal 1 binary64) (*.f64 m m)))
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
(*.f64 m (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 #s(literal 1 binary64) m)) v))
(*.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) (-.f64 #s(literal 1 binary64) m))
Outputs
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v))
Calls

1 calls:

8.0ms
m
Results
AccuracySegmentsBranch
99.9%2m
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
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 m (/.f64 m v)))
(*.f64 m (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (*.f64 m m))
(*.f64 (/.f64 m (/.f64 v m)) m)
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m))
(*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 m 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 #s(literal -1 binary64) (*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v m) (*.f64 m m)))
(/.f64 (/.f64 m v) (/.f64 #s(literal 1 binary64) (*.f64 m m)))
Outputs
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v))
Calls

1 calls:

7.0ms
m
Results
AccuracySegmentsBranch
97.6%2m
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-26.7MiB live, 12.3MiB allocated
Counts
19 → 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 m (/.f64 m v)))
(*.f64 m (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (*.f64 m m))
(*.f64 (/.f64 m (/.f64 v m)) m)
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m))
(*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 m #s(literal -2 binary64))) (/.f64 m v))
(*.f64 (+.f64 (*.f64 m #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 m v))
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v))
Calls

1 calls:

7.0ms
m
Results
AccuracySegmentsBranch
97.6%2m
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
16 → 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 m (/.f64 m v)))
(*.f64 m (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (*.f64 m m))
(*.f64 (/.f64 m (/.f64 v m)) m)
(+.f64 #s(literal -1 binary64) (+.f64 m (/.f64 m v)))
(/.f64 (*.f64 m (*.f64 m m)) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)
(/.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 v m))
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(*.f64 (/.f64 m v) (*.f64 m m))
Calls

1 calls:

5.0ms
m
Results
AccuracySegmentsBranch
96.7%2m
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
10 → 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 m (/.f64 m v)))
(*.f64 m (/.f64 (*.f64 m m) v))
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(*.f64 m (*.f64 m (/.f64 m v)))
Calls

1 calls:

4.0ms
m
Results
AccuracySegmentsBranch
96.7%2m
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
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
71.5%1v
71.5%1m
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
-28.3MiB live, 10.8MiB allocated
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:

2.0ms
v
2.0ms
m
Results
AccuracySegmentsBranch
56.3%2v
60.0%2m
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
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
v
2.0ms
m
Results
AccuracySegmentsBranch
26.7%1v
26.7%1m
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated
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
26.9%2m
24.3%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
10.6MiB live, 10.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
m
1.0ms
v
Results
AccuracySegmentsBranch
24.3%1v
24.3%1m
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch14.0ms (0.2%)

Memory
-9.3MiB live, 29.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
1.1200274948114626e-16
4.2279281124831604e-7
Samples
7.0ms144×0valid
Compiler

Compiled 252 to 157 computations (37.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (47.4% of total)
ival-div: 1.0ms (23.7% of total)
ival-sub: 1.0ms (23.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.5%)

Memory
-40.8MiB live, 22.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
43.0ms
1.1200274948114626e-16
4.2279281124831604e-7
Samples
7.0ms144×0valid
Compiler

Compiled 252 to 157 computations (37.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 2.0ms (46.3% of total)
ival-mult: 2.0ms (46.3% of total)
ival-div: 1.0ms (23.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.3282967138155115
31.836944172864314
Samples
6.0ms112×0valid
Compiler

Compiled 186 to 125 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (29.4% of total)
ival-sub: 1.0ms (29.4% of total)
ival-mult: 1.0ms (29.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
-19.8MiB live, 17.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.3282967138155115
31.836944172864314
Samples
8.0ms112×0valid
Compiler

Compiled 158 to 111 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (29.1% of total)
ival-sub: 1.0ms (29.1% of total)
ival-mult: 1.0ms (29.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.3282967138155115
31.836944172864314
Samples
6.0ms112×0valid
Compiler

Compiled 144 to 97 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (30.4% of total)
ival-sub: 1.0ms (30.4% of total)
ival-mult: 1.0ms (30.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory
-20.2MiB live, 17.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.3282967138155115
31.836944172864314
Samples
8.0ms112×0valid
Compiler

Compiled 144 to 97 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (53.4% of total)
ival-div: 1.0ms (17.8% of total)
ival-mult: 1.0ms (17.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
23.2MiB live, 23.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
6.828573652852296e-179
6.862447811012394e-173
Samples
7.0ms144×0valid
Compiler

Compiled 108 to 85 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (47.7% of total)
ival-div: 1.0ms (23.9% of total)
ival-sub: 1.0ms (23.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
-17.5MiB live, 19.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
2.50752814012984e-26
1.3517959107492e-22
Samples
9.0ms128×0valid
Compiler

Compiled 82 to 69 computations (15.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 4.0ms (66% of total)
ival-div: 1.0ms (16.5% of total)
ival-mult: 1.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated
Algorithm
egg-herbie
Rules
24×*-commutative_binary64
16×+-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052156
173156
280156
389156
490156
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(if (<=.f64 m #s(literal 6591783121186793/2535301200456458802993406410752 binary64)) (*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v))
(if (<=.f64 m #s(literal 6845313241232439/2535301200456458802993406410752 binary64)) (*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v)))
(if (<=.f64 m #s(literal 3715469692580659/2251799813685248 binary64)) (*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v)))
(if (<=.f64 m #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v)))
(if (<=.f64 m #s(literal 3512807709348987/9007199254740992 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 (/.f64 m v) (*.f64 m m)))
(if (<=.f64 m #s(literal 3422735716801577/9007199254740992 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 m (*.f64 m (/.f64 m v))))
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(if (<=.f64 m #s(literal 6460487202687679/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912 binary64)) #s(literal -1 binary64) (/.f64 m v))
(+.f64 #s(literal -1 binary64) m)
(if (<=.f64 m #s(literal 4573395011417413/21778071482940061661655974875633165533184 binary64)) #s(literal -1 binary64) m)
#s(literal -1 binary64)
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal -1 binary64)))
(if (<=.f64 m #s(literal 6591783121186793/2535301200456458802993406410752 binary64)) (*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v))
(if (<=.f64 m #s(literal 6591783121186793/2535301200456458802993406410752 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 m v) #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 m (-.f64 #s(literal 1 binary64) m))) v))
(if (<=.f64 m #s(literal 6845313241232439/2535301200456458802993406410752 binary64)) (*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (*.f64 m (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) m) (+.f64 #s(literal -1 binary64) m)) v)))
(if (<=.f64 m #s(literal 6845313241232439/2535301200456458802993406410752 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 m v) #s(literal -1 binary64))) (*.f64 m (/.f64 (*.f64 (+.f64 m #s(literal -1 binary64)) (+.f64 m #s(literal -1 binary64))) v)))
(if (<=.f64 m #s(literal 3715469692580659/2251799813685248 binary64)) (*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v)))
(if (<=.f64 m #s(literal 3715469692580659/2251799813685248 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) m) (+.f64 (/.f64 m v) #s(literal -1 binary64))) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v)))
(if (<=.f64 m #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v)))
(if (<=.f64 m #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 (/.f64 m v) #s(literal -1 binary64)) (*.f64 m (/.f64 (*.f64 m (+.f64 m #s(literal -2 binary64))) v)))
(if (<=.f64 m #s(literal 3512807709348987/9007199254740992 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 (/.f64 m v) (*.f64 m m)))
(if (<=.f64 m #s(literal 3512807709348987/9007199254740992 binary64)) (+.f64 (/.f64 m v) #s(literal -1 binary64)) (*.f64 (/.f64 m v) (*.f64 m m)))
(if (<=.f64 m #s(literal 3422735716801577/9007199254740992 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 m v)) (*.f64 m (*.f64 m (/.f64 m v))))
(if (<=.f64 m #s(literal 3422735716801577/9007199254740992 binary64)) (+.f64 (/.f64 m v) #s(literal -1 binary64)) (*.f64 m (*.f64 m (/.f64 m v))))
(+.f64 #s(literal -1 binary64) (/.f64 m v))
(+.f64 (/.f64 m v) #s(literal -1 binary64))
(if (<=.f64 m #s(literal 6460487202687679/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912 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 4573395011417413/21778071482940061661655974875633165533184 binary64)) #s(literal -1 binary64) m)
#s(literal -1 binary64)

soundness1.4s (16.3%)

Memory
26.3MiB live, 924.5MiB allocated
Rules
14 946×accelerator-lowering-fma.f32
14 946×accelerator-lowering-fma.f64
13 188×accelerator-lowering-fma.f32
13 188×accelerator-lowering-fma.f64
11 250×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103963
1292919
2846886
33050708
08168683
01861742
15441580
216071544
364731544
084941516
01802487
15122353
214872301
350322232
081782137
0831326
12291290
26161264
321551236
458081224
082041200
021114
1142112
21413108
08537104
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 458 to 235 computations (48.7% saved)

preprocess67.0ms (0.8%)

Memory
7.7MiB live, 124.6MiB allocated
Compiler

Compiled 346 to 118 computations (65.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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