Rosa's DopplerBench

Time bar (total: 10.7s)

analyze99.0ms (0.9%)

Memory
-26.5MiB live, 93.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
65.6%65.5%34.3%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
82%81.9%17.9%0.1%0%0%0%12
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample944.0ms (8.8%)

Memory
57.0MiB live, 955.2MiB allocated
Samples
693.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 366.0ms
ival-mult: 119.0ms (32.5% of total)
ival-neg: 97.0ms (26.5% of total)
ival-add: 90.0ms (24.6% of total)
ival-div: 51.0ms (13.9% of total)
ival-true: 6.0ms (1.6% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess281.0ms (2.6%)

Memory
-40.1MiB live, 177.2MiB allocated
Algorithm
egg-herbie
Rules
2 064×accelerator-lowering-fma.f32
2 064×accelerator-lowering-fma.f64
1 622×times-frac
1 078×unsub-neg
880×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035121
1185117
2662115
32314115
45738115
57969115
0812
12912
27512
319112
433912
552912
694812
7174212
8218912
9270512
10325012
11338412
12364512
13368912
14371112
15374912
16382712
17385112
18386312
19386512
20386512
0386512
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
Outputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
Call 2
Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u))))
(/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u)))
(/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u)))
(neg (/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u)))))
(neg (/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u))))
(neg (/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u))))
(/ (* (neg t1) u) (* (+ t1 v) (+ t1 v)))
(/ (* (neg u) v) (* (+ u t1) (+ u t1)))
(/ (* (neg v) t1) (* (+ v u) (+ v u)))
Outputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(/ (/ (* t1 (neg v)) (+ t1 u)) (+ t1 u))
(/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u))))
(* (/ v (- t1 u)) (/ t1 (- u t1)))
(/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u)))
(/ (/ (* t1 v) (+ t1 u)) (+ t1 u))
(/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u)))
(* (/ v (- t1 u)) (/ t1 (- t1 u)))
(neg (/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u)))))
(* (/ v (- t1 u)) (/ t1 (- t1 u)))
(neg (/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u))))
(/ (/ (* t1 (neg v)) (+ t1 u)) (+ t1 u))
(neg (/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u))))
(* (/ v (- t1 u)) (/ t1 (- u t1)))
(/ (* (neg t1) u) (* (+ t1 v) (+ t1 v)))
(* (neg t1) (/ (/ u (+ t1 v)) (+ t1 v)))
(/ (* (neg u) v) (* (+ u t1) (+ u t1)))
(* (neg u) (/ (/ v (+ t1 u)) (+ t1 u)))
(/ (* (neg v) t1) (* (+ v u) (+ v u)))
(* (neg t1) (/ (/ v (+ v u)) (+ v u)))
Symmetry

(negabs v)

explain101.0ms (0.9%)

Memory
1.4MiB live, 199.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
790-0-(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
00-0-t1
00-0-(*.f64 (neg.f64 t1) v)
00-0-(neg.f64 t1)
00-0-v
00-0-(*.f64 (+.f64 t1 u) (+.f64 t1 u))
00-0-(+.f64 t1 u)
00-0-u
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))o/o270
(*.f64 (neg.f64 t1) v)overflow34
(*.f64 (+.f64 t1 u) (+.f64 t1 u))overflow109
/.f64(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))n/o210
(*.f64 (+.f64 t1 u) (+.f64 t1 u))overflow109
/.f64(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))u/n110
(*.f64 (neg.f64 t1) v)underflow35
/.f64(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))u/u80
(*.f64 (neg.f64 t1) v)underflow35
(*.f64 (+.f64 t1 u) (+.f64 t1 u))underflow17
/.f64(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))o/n70
(*.f64 (neg.f64 t1) v)overflow34
/.f64(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))n/u50
(*.f64 (+.f64 t1 u) (+.f64 t1 u))underflow17
Confusion
Predicted +Predicted -
+790
-0177
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7900
-00177
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0177
179
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 96 to 36 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (38.5% of total)
ival-div: 3.0ms (19.2% of total)
ival-add: 3.0ms (19.2% of total)
ival-neg: 2.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify180.0ms (1.7%)

Memory
6.5MiB live, 162.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
cost-diff0
(neg.f64 t1)
cost-diff0
(*.f64 (neg.f64 t1) v)
cost-diff0
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Rules
2 064×accelerator-lowering-fma.f32
2 064×accelerator-lowering-fma.f64
880×*-lowering-*.f32
880×*-lowering-*.f64
572×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
12931
27531
319131
433931
552931
694831
7174231
8218931
9270531
10325031
11338431
12364531
13368931
14371131
15374931
16382731
17385131
18386331
19386531
20386531
0386531
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(* (neg t1) v)
(neg t1)
t1
v
(* (+ t1 u) (+ t1 u))
(+ t1 u)
u
Outputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* (neg t1) v)
(*.f64 t1 (neg.f64 v))
(neg t1)
(neg.f64 t1)
t1
v
(* (+ t1 u) (+ t1 u))
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
(+ t1 u)
(+.f64 t1 u)
u

localize25.0ms (0.2%)

Memory
16.6MiB live, 54.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (neg.f64 t1) v)
accuracy100.0%
(neg.f64 t1)
accuracy100.0%
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
accuracy70.5%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Samples
15.0ms256×0valid
Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (39.9% of total)
ival-div: 2.0ms (26.6% of total)
ival-add: 1.0ms (13.3% of total)
ival-neg: 1.0ms (13.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-9.8MiB live, 28.2MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))>
#<alt (* (neg t1) v)>
#<alt (neg t1)>
#<alt (* (+ t1 u) (+ t1 u))>
Outputs
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (pow u 2)>
#<alt (+ (* 2 (* t1 u)) (pow u 2))>
#<alt (+ (* t1 (+ t1 (* 2 u))) (pow u 2))>
#<alt (+ (* t1 (+ t1 (* 2 u))) (pow u 2))>
#<alt (pow t1 2)>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))>
#<alt (* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))>
#<alt (pow t1 2)>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))>
#<alt (* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))>
#<alt (pow t1 2)>
#<alt (+ (* 2 (* t1 u)) (pow t1 2))>
#<alt (+ (* u (+ u (* 2 t1))) (pow t1 2))>
#<alt (+ (* u (+ u (* 2 t1))) (pow t1 2))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (+ 1 (* 2 (/ t1 u))))>
#<alt (* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))>
#<alt (* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (+ 1 (* 2 (/ t1 u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))>
Calls

24 calls:

TimeVariablePointExpression
3.0ms
v
@0
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
1.0ms
t1
@inf
(* (+ t1 u) (+ t1 u))
1.0ms
u
@0
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
1.0ms
t1
@inf
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
1.0ms
t1
@0
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite286.0ms (2.7%)

Memory
0.8MiB live, 630.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 320×*-lowering-*.f32
5 320×*-lowering-*.f64
2 808×/-lowering-/.f32
2 808×/-lowering-/.f64
2 706×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
15221
239121
3509121
0838821
Stop Event
iter limit
node limit
Counts
4 → 473
Calls
Call 1
Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(* (neg t1) v)
(neg t1)
(* (+ t1 u) (+ t1 u))
Outputs
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64)) (neg.f64 (/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(+.f64 (*.f64 (/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) (*.f64 t1 t1)) (*.f64 (/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) (*.f64 u (-.f64 u t1))))
(+.f64 (*.f64 (/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) (*.f64 u (-.f64 u t1))) (*.f64 (/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) (*.f64 t1 t1)))
(+.f64 (*.f64 (/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) t1) (*.f64 (/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (neg.f64 u)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (neg.f64 (/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(+.f64 (*.f64 (*.f64 t1 t1) (/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))))) (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))))))
(+.f64 (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))))) (*.f64 (*.f64 t1 t1) (/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))))))
(+.f64 (*.f64 t1 (/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u))))) (*.f64 (neg.f64 u) (/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 t1 (neg.f64 v)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
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(*.f64 (pow.f64 (neg.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 t1 u))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 t1 u) (-.f64 u t1)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 u t1)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 t1 u) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 t1 u) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 t1 u) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))) (fma.f64 t1 (*.f64 (*.f64 t1 t1) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 u (-.f64 u t1)))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 u (-.f64 u t1)) (-.f64 (*.f64 u (-.f64 u t1)) (*.f64 t1 t1)) (*.f64 t1 (*.f64 t1 (*.f64 t1 t1)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (*.f64 (fma.f64 t1 (+.f64 t1 u) (*.f64 u u)) (-.f64 t1 u))) #s(literal 2 binary64)) (pow.f64 (fma.f64 t1 (+.f64 t1 u) (*.f64 u u)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1)))) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) (-.f64 t1 u))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 t1 u) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 t1 (+.f64 t1 u)) (*.f64 (*.f64 t1 (+.f64 t1 u)) (*.f64 t1 (+.f64 t1 u))) (*.f64 (*.f64 u (+.f64 t1 u)) (*.f64 (+.f64 t1 u) (*.f64 u (*.f64 u (+.f64 t1 u)))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t1 (*.f64 (+.f64 t1 u) (*.f64 t1 (+.f64 t1 u))) (*.f64 (*.f64 u (+.f64 t1 u)) (-.f64 (*.f64 u (+.f64 t1 u)) (*.f64 t1 (+.f64 t1 u)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1)))))
(*.f64 (pow.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(*.f64 (pow.f64 (exp.f64 (log.f64 (+.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (+.f64 t1 u))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 t1 (*.f64 (*.f64 t1 t1) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 u (-.f64 u t1)))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 u (-.f64 u t1)) (-.f64 (*.f64 u (-.f64 u t1)) (*.f64 t1 t1)) (*.f64 t1 (*.f64 t1 (*.f64 t1 t1)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (+.f64 t1 u))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (fma.f64 t1 (+.f64 t1 u) (*.f64 u u)) (-.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (fma.f64 t1 (+.f64 t1 u) (*.f64 u u)) #s(literal 1 binary64)))

simplify425.0ms (4%)

Memory
-1.6MiB live, 852.1MiB allocated
Algorithm
egg-herbie
Rules
17 384×accelerator-lowering-fma.f32
17 384×accelerator-lowering-fma.f64
4 660×*-lowering-*.f32
4 660×*-lowering-*.f64
3 660×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251167
16901110
223001022
372921018
08297976
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(pow u 2)
(+ (* 2 (* t1 u)) (pow u 2))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(pow t1 2)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(pow t1 2)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(pow t1 2)
(+ (* 2 (* t1 u)) (pow t1 2))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(pow u 2)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(pow u 2)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
Outputs
(* -1 (/ (* t1 v) (pow u 2)))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(*.f64 t1 (-.f64 (/.f64 (*.f64 v (*.f64 t1 #s(literal 2 binary64))) (*.f64 u (*.f64 u u))) (/.f64 v (*.f64 u u))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(*.f64 t1 (fma.f64 t1 (fma.f64 v (/.f64 #s(literal 2 binary64) (*.f64 u (*.f64 u u))) (/.f64 (*.f64 t1 (*.f64 v #s(literal -3 binary64))) (pow.f64 u #s(literal 4 binary64)))) (/.f64 v (*.f64 u (neg.f64 u)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(*.f64 t1 (fma.f64 t1 (fma.f64 t1 (fma.f64 t1 (fma.f64 #s(literal 6 binary64) (/.f64 v (*.f64 u (pow.f64 u #s(literal 4 binary64)))) (/.f64 (*.f64 v #s(literal -2 binary64)) (pow.f64 u #s(literal 5 binary64)))) (/.f64 (*.f64 v #s(literal -3 binary64)) (pow.f64 u #s(literal 4 binary64)))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 u (*.f64 u u)))) (/.f64 v (*.f64 u (neg.f64 u)))))
(* -1 (/ v t1))
(/.f64 (neg.f64 v) t1)
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 v (*.f64 u u)) t1) #s(literal -3 binary64) (*.f64 v (*.f64 u #s(literal 2 binary64)))) t1) v) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 t1 t1)) (*.f64 u (fma.f64 (/.f64 (*.f64 v (*.f64 u u)) t1) #s(literal -3 binary64) (/.f64 (*.f64 v (*.f64 u u)) t1))) (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 v (*.f64 u u)) t1) #s(literal -3 binary64) (*.f64 v (*.f64 u #s(literal 2 binary64)))) t1) v)) t1)
(* -1 (/ v t1))
(/.f64 (neg.f64 v) t1)
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 v (*.f64 u u)) t1) #s(literal -3 binary64) (*.f64 v (*.f64 u #s(literal 2 binary64)))) t1) v) t1)
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))
(/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 v (*.f64 u #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 u (fma.f64 (/.f64 (*.f64 v (*.f64 u u)) t1) #s(literal -3 binary64) (/.f64 (*.f64 v (*.f64 u u)) t1))) (*.f64 #s(literal 3 binary64) (*.f64 v (*.f64 u u)))) t1)) t1)) v) t1)
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v t1))
(/.f64 (neg.f64 v) t1)
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(fma.f64 v (/.f64 (*.f64 (*.f64 u u) #s(literal -3 binary64)) (*.f64 t1 (*.f64 t1 t1))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
(fma.f64 (*.f64 u u) (fma.f64 u (fma.f64 #s(literal 6 binary64) (/.f64 v (*.f64 t1 (*.f64 t1 (*.f64 t1 t1)))) (/.f64 (*.f64 v #s(literal -2 binary64)) (*.f64 t1 (*.f64 t1 (*.f64 t1 t1))))) (/.f64 (*.f64 v #s(literal -3 binary64)) (*.f64 t1 (*.f64 t1 t1)))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)))
(* -1 (/ (* t1 v) (pow u 2)))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t1 (*.f64 t1 v)) u) (*.f64 t1 (neg.f64 v))) (*.f64 u u))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/.f64 (-.f64 (fma.f64 (/.f64 v (*.f64 u u)) (*.f64 (*.f64 t1 (*.f64 t1 t1)) #s(literal -3 binary64)) (/.f64 (*.f64 v (*.f64 #s(literal 2 binary64) (*.f64 t1 t1))) u)) (*.f64 t1 v)) (*.f64 u u))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 u u)) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 t1 (*.f64 t1 (*.f64 t1 (*.f64 t1 v)))) u) (/.f64 (*.f64 t1 (*.f64 t1 (*.f64 t1 (*.f64 t1 v)))) u)) (-.f64 (fma.f64 (/.f64 v (*.f64 u u)) (*.f64 (*.f64 t1 (*.f64 t1 t1)) #s(literal -3 binary64)) (/.f64 (*.f64 v (*.f64 #s(literal 2 binary64) (*.f64 t1 t1))) u)) (*.f64 t1 v))) (*.f64 u u))
(* -1 (/ (* t1 v) (pow u 2)))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t1 (*.f64 t1 v)) u) (*.f64 t1 (neg.f64 v))) (*.f64 u u))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))
(neg.f64 (/.f64 (fma.f64 t1 v (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 t1 (*.f64 t1 (*.f64 t1 v))) u) (*.f64 #s(literal -2 binary64) (*.f64 t1 (*.f64 t1 v)))) u)) (*.f64 u u)))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))
(neg.f64 (/.f64 (fma.f64 t1 v (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 t1 (*.f64 t1 v))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 t1 (*.f64 v (*.f64 (*.f64 t1 (*.f64 t1 t1)) #s(literal -3 binary64))) (*.f64 t1 (*.f64 t1 (*.f64 t1 (*.f64 t1 v))))) u) (*.f64 v (*.f64 (*.f64 t1 (*.f64 t1 t1)) #s(literal -3 binary64)))) u)) u)) (*.f64 u u)))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 (* t1 v))
(*.f64 t1 (neg.f64 v))
(* -1 t1)
(neg.f64 t1)
(* -1 t1)
(neg.f64 t1)
(* -1 t1)
(neg.f64 t1)
(* -1 t1)
(neg.f64 t1)
(* -1 t1)
(neg.f64 t1)
(* -1 t1)
(neg.f64 t1)
(* -1 t1)
(neg.f64 t1)
(* -1 t1)
(neg.f64 t1)
(* -1 t1)
(neg.f64 t1)
(* -1 t1)
(neg.f64 t1)
(* -1 t1)
(neg.f64 t1)
(* -1 t1)
(neg.f64 t1)
(pow u 2)
(*.f64 u u)
(+ (* 2 (* t1 u)) (pow u 2))
(*.f64 u (fma.f64 t1 #s(literal 2 binary64) u))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(fma.f64 u (fma.f64 t1 #s(literal 2 binary64) u) (*.f64 t1 t1))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(fma.f64 u (fma.f64 t1 #s(literal 2 binary64) u) (*.f64 t1 t1))
(pow t1 2)
(*.f64 t1 t1)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(*.f64 t1 (*.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(*.f64 (*.f64 t1 t1) (fma.f64 (/.f64 u t1) (+.f64 #s(literal 2 binary64) (/.f64 u t1)) #s(literal 1 binary64)))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(*.f64 (*.f64 t1 t1) (fma.f64 (/.f64 u t1) (+.f64 #s(literal 2 binary64) (/.f64 u t1)) #s(literal 1 binary64)))
(pow t1 2)
(*.f64 t1 t1)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(*.f64 t1 (*.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64))))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(*.f64 t1 (fma.f64 t1 (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) (neg.f64 t1)) t1))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(*.f64 t1 (fma.f64 t1 (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) (neg.f64 t1)) t1))
(pow t1 2)
(*.f64 t1 t1)
(+ (* 2 (* t1 u)) (pow t1 2))
(*.f64 t1 (fma.f64 u #s(literal 2 binary64) t1))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(fma.f64 u (fma.f64 t1 #s(literal 2 binary64) u) (*.f64 t1 t1))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(fma.f64 u (fma.f64 t1 #s(literal 2 binary64) u) (*.f64 t1 t1))
(pow u 2)
(*.f64 u u)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(*.f64 u (fma.f64 u (/.f64 (*.f64 t1 #s(literal 2 binary64)) u) u))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(*.f64 (*.f64 u u) (fma.f64 (/.f64 t1 u) (+.f64 #s(literal 2 binary64) (/.f64 t1 u)) #s(literal 1 binary64)))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(*.f64 (*.f64 u u) (fma.f64 (/.f64 t1 u) (+.f64 #s(literal 2 binary64) (/.f64 t1 u)) #s(literal 1 binary64)))
(pow u 2)
(*.f64 u u)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(*.f64 u (fma.f64 u (/.f64 (*.f64 t1 #s(literal 2 binary64)) u) u))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(*.f64 u (fma.f64 u (/.f64 (*.f64 t1 (-.f64 #s(literal -2 binary64) (/.f64 t1 u))) (neg.f64 u)) u))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(*.f64 u (fma.f64 u (/.f64 (*.f64 t1 (-.f64 #s(literal -2 binary64) (/.f64 t1 u))) (neg.f64 u)) u))

eval62.0ms (0.6%)

Memory
8.5MiB live, 161.9MiB allocated
Compiler

Compiled 13 719 to 1 492 computations (89.1% saved)

prune168.0ms (1.6%)

Memory
-16.1MiB live, 183.9MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New55811569
Fresh000
Picked011
Done000
Total55812570
Accuracy
100.0%
Counts
570 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u)))
97.6%
(/.f64 (*.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (neg.f64 v)) (neg.f64 (+.f64 t1 u)))
70.2%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
42.0%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
38.6%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 t1 t1))
58.4%
(/.f64 (neg.f64 v) t1)
84.2%
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
98.5%
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
75.1%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
98.1%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (*.f64 t1 (/.f64 v (+.f64 t1 u))))
43.1%
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
71.7%
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
Compiler

Compiled 313 to 180 computations (42.5% saved)

simplify235.0ms (2.2%)

Memory
14.4MiB live, 405.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 t1 u)
cost-diff0
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))
cost-diff0
(neg.f64 t1)
cost-diff384
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
cost-diff0
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
cost-diff0
(neg.f64 t1)
cost-diff0
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
cost-diff0
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
cost-diff0
(*.f64 t1 t1)
cost-diff0
(neg.f64 t1)
cost-diff0
(*.f64 (neg.f64 t1) v)
cost-diff640
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 t1 t1))
cost-diff0
(neg.f64 v)
cost-diff0
(/.f64 (neg.f64 v) t1)
cost-diff0
(+.f64 t1 u)
cost-diff0
(neg.f64 v)
cost-diff0
(/.f64 (neg.f64 v) (+.f64 t1 u))
cost-diff384
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
Rules
6 368×accelerator-lowering-fma.f32
6 368×accelerator-lowering-fma.f64
4 068×*-lowering-*.f32
4 068×*-lowering-*.f64
1 568×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019125
161125
2182125
3433125
4951125
53387125
66468125
08175125
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (neg v) (+ t1 u)) (/ t1 (+ t1 u)))
(/ (neg v) (+ t1 u))
(neg v)
v
(+ t1 u)
t1
u
(/ t1 (+ t1 u))
(/ (neg v) t1)
(neg v)
v
t1
(/ (* (neg t1) v) (* t1 t1))
(* (neg t1) v)
(neg t1)
t1
v
(* t1 t1)
(* (/ (neg t1) (* (+ t1 u) (+ t1 u))) v)
(/ (neg t1) (* (+ t1 u) (+ t1 u)))
(neg t1)
t1
(* (+ t1 u) (+ t1 u))
(+ t1 u)
u
v
(/ (neg t1) (* (+ t1 u) (/ (+ t1 u) v)))
(neg t1)
t1
(* (+ t1 u) (/ (+ t1 u) v))
(+ t1 u)
u
(/ (+ t1 u) v)
v
Outputs
(* (/ (neg v) (+ t1 u)) (/ t1 (+ t1 u)))
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(/ (neg v) (+ t1 u))
(/.f64 v (-.f64 (neg.f64 t1) u))
(neg v)
(neg.f64 v)
v
(+ t1 u)
(+.f64 t1 u)
t1
u
(/ t1 (+ t1 u))
(/.f64 t1 (+.f64 t1 u))
(/ (neg v) t1)
(/.f64 v (neg.f64 t1))
(neg v)
(neg.f64 v)
v
t1
(/ (* (neg t1) v) (* t1 t1))
(/.f64 v (neg.f64 t1))
(* (neg t1) v)
(*.f64 v (neg.f64 t1))
(neg t1)
(neg.f64 t1)
t1
v
(* t1 t1)
(*.f64 t1 t1)
(* (/ (neg t1) (* (+ t1 u) (+ t1 u))) v)
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(/ (neg t1) (* (+ t1 u) (+ t1 u)))
(neg.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(neg t1)
(neg.f64 t1)
t1
(* (+ t1 u) (+ t1 u))
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
(+ t1 u)
(+.f64 t1 u)
u
v
(/ (neg t1) (* (+ t1 u) (/ (+ t1 u) v)))
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(neg t1)
(neg.f64 t1)
t1
(* (+ t1 u) (/ (+ t1 u) v))
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v)
(+ t1 u)
(+.f64 t1 u)
u
(/ (+ t1 u) v)
(/.f64 (+.f64 t1 u) v)
v

localize71.0ms (0.7%)

Memory
11.1MiB live, 127.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 t1 u)
accuracy100.0%
(neg.f64 t1)
accuracy99.8%
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))
accuracy84.2%
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
accuracy100.0%
(neg.f64 t1)
accuracy100.0%
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
accuracy95.2%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
accuracy71.6%
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
accuracy100.0%
(*.f64 (neg.f64 t1) v)
accuracy100.0%
(*.f64 t1 t1)
accuracy100.0%
(neg.f64 t1)
accuracy61.3%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 t1 t1))
accuracy100.0%
(/.f64 (neg.f64 v) t1)
accuracy100.0%
(neg.f64 v)
accuracy100.0%
(neg.f64 v)
accuracy100.0%
(/.f64 (neg.f64 v) (+.f64 t1 u))
accuracy100.0%
(/.f64 t1 (+.f64 t1 u))
accuracy98.5%
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
Samples
44.0ms256×0valid
Compiler

Compiled 131 to 21 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 11.0ms (42.1% of total)
ival-mult: 11.0ms (42.1% of total)
ival-neg: 2.0ms (7.7% of total)
ival-add: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
7.9MiB live, 45.9MiB allocated
Counts
15 → 384
Calls
Call 1
Inputs
#<alt (* (/ (neg v) (+ t1 u)) (/ t1 (+ t1 u)))>
#<alt (/ (neg v) (+ t1 u))>
#<alt (neg v)>
#<alt (+ t1 u)>
#<alt (/ (neg v) t1)>
#<alt (/ (* (neg t1) v) (* t1 t1))>
#<alt (* (neg t1) v)>
#<alt (neg t1)>
#<alt (* t1 t1)>
#<alt (* (/ (neg t1) (* (+ t1 u) (+ t1 u))) v)>
#<alt (/ (neg t1) (* (+ t1 u) (+ t1 u)))>
#<alt (* (+ t1 u) (+ t1 u))>
#<alt (/ (neg t1) (* (+ t1 u) (/ (+ t1 u) v)))>
#<alt (* (+ t1 u) (/ (+ t1 u) v))>
#<alt (/ t1 (+ t1 u))>
Outputs
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))>
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#<alt (/ (pow u 2) v)>
#<alt (+ (* 2 (/ (* t1 u) v)) (/ (pow u 2) v))>
#<alt (+ (* t1 (+ (* 2 (/ u v)) (/ t1 v))) (/ (pow u 2) v))>
#<alt (+ (* t1 (+ (* 2 (/ u v)) (/ t1 v))) (/ (pow u 2) v))>
#<alt (/ (pow t1 2) v)>
#<alt (* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (/ 1 v)))>
#<alt (* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (+ (/ 1 v) (/ (pow u 2) (* (pow t1 2) v)))))>
#<alt (* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (+ (/ 1 v) (/ (pow u 2) (* (pow t1 2) v)))))>
#<alt (/ (pow t1 2) v)>
#<alt (* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (/ 1 v)))>
#<alt (* (pow t1 2) (+ (* -1 (/ (+ (* -2 (/ u v)) (* -1 (/ (pow u 2) (* t1 v)))) t1)) (/ 1 v)))>
#<alt (* (pow t1 2) (+ (* -1 (/ (+ (* -2 (/ u v)) (* -1 (/ (pow u 2) (* t1 v)))) t1)) (/ 1 v)))>
#<alt (/ (pow t1 2) v)>
#<alt (+ (* 2 (/ (* t1 u) v)) (/ (pow t1 2) v))>
#<alt (+ (* u (+ (* 2 (/ t1 v)) (/ u v))) (/ (pow t1 2) v))>
#<alt (+ (* u (+ (* 2 (/ t1 v)) (/ u v))) (/ (pow t1 2) v))>
#<alt (/ (pow u 2) v)>
#<alt (* (pow u 2) (+ (* 2 (/ t1 (* u v))) (/ 1 v)))>
#<alt (* (pow u 2) (+ (* 2 (/ t1 (* u v))) (+ (/ 1 v) (/ (pow t1 2) (* (pow u 2) v)))))>
#<alt (* (pow u 2) (+ (* 2 (/ t1 (* u v))) (+ (/ 1 v) (/ (pow t1 2) (* (pow u 2) v)))))>
#<alt (/ (pow u 2) v)>
#<alt (* (pow u 2) (+ (* 2 (/ t1 (* u v))) (/ 1 v)))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v)))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v)))>
#<alt (/ (pow (+ t1 u) 2) v)>
#<alt (/ (pow (+ t1 u) 2) v)>
#<alt (/ (pow (+ t1 u) 2) v)>
#<alt (/ (pow (+ t1 u) 2) v)>
#<alt (/ (pow (+ t1 u) 2) v)>
#<alt (/ (pow (+ t1 u) 2) v)>
#<alt (/ (pow (+ t1 u) 2) v)>
#<alt (/ (pow (+ t1 u) 2) v)>
#<alt (/ (pow (+ t1 u) 2) v)>
#<alt (/ (pow (+ t1 u) 2) v)>
#<alt (/ (pow (+ t1 u) 2) v)>
#<alt (/ (pow (+ t1 u) 2) v)>
#<alt (/ t1 u)>
#<alt (* t1 (+ (* -1 (/ t1 (pow u 2))) (/ 1 u)))>
#<alt (* t1 (+ (* t1 (- (/ t1 (pow u 3)) (/ 1 (pow u 2)))) (/ 1 u)))>
#<alt (* t1 (+ (* t1 (- (* t1 (+ (* -1 (/ t1 (pow u 4))) (/ 1 (pow u 3)))) (/ 1 (pow u 2)))) (/ 1 u)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ u t1)))>
#<alt (- (+ 1 (/ (pow u 2) (pow t1 2))) (/ u t1))>
#<alt (- (+ 1 (* -1 (/ (pow u 3) (pow t1 3)))) (+ (* -1 (/ (pow u 2) (pow t1 2))) (/ u t1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ u t1)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow u 2) t1)) (* -1 u)) t1)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow u 3) t1)) (* -1 (pow u 2))) t1)) (* -1 u)) t1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ u t1)))>
#<alt (+ 1 (* u (- (/ u (pow t1 2)) (/ 1 t1))))>
#<alt (+ 1 (* u (- (* u (+ (* -1 (/ u (pow t1 3))) (/ 1 (pow t1 2)))) (/ 1 t1))))>
#<alt (/ t1 u)>
#<alt (/ (+ t1 (* -1 (/ (pow t1 2) u))) u)>
#<alt (/ (- (+ t1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u)) u)>
#<alt (/ (- (+ t1 (* -1 (/ (pow t1 4) (pow u 3)))) (+ (* -1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u))) u)>
#<alt (/ t1 u)>
#<alt (* -1 (/ (+ (* -1 t1) (/ (pow t1 2) u)) u))>
#<alt (* -1 (/ (+ (* -1 t1) (* -1 (/ (- (/ (pow t1 3) u) (pow t1 2)) u))) u))>
#<alt (* -1 (/ (+ (* -1 t1) (* -1 (/ (- (* -1 (/ (- (/ (pow t1 4) u) (pow t1 3)) u)) (pow t1 2)) u))) u))>
Calls

96 calls:

TimeVariablePointExpression
3.0ms
t1
@inf
(/ (neg t1) (* (+ t1 u) (+ t1 u)))
2.0ms
u
@-inf
(/ (neg t1) (* (+ t1 u) (/ (+ t1 u) v)))
1.0ms
u
@-inf
(/ (neg t1) (* (+ t1 u) (+ t1 u)))
1.0ms
v
@0
(/ (neg v) (+ t1 u))
1.0ms
v
@inf
(/ (neg v) (+ t1 u))

rewrite382.0ms (3.6%)

Memory
-6.3MiB live, 556.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 428×*-lowering-*.f32
5 428×*-lowering-*.f64
4 676×/-lowering-/.f32
4 676×/-lowering-/.f64
2 846×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01983
111983
291883
0839383
Stop Event
iter limit
node limit
Counts
15 → 1 660
Calls
Call 1
Inputs
(* (/ (neg v) (+ t1 u)) (/ t1 (+ t1 u)))
(/ (neg v) (+ t1 u))
(neg v)
(+ t1 u)
(/ (neg v) t1)
(/ (* (neg t1) v) (* t1 t1))
(* (neg t1) v)
(neg t1)
(* t1 t1)
(* (/ (neg t1) (* (+ t1 u) (+ t1 u))) v)
(/ (neg t1) (* (+ t1 u) (+ t1 u)))
(* (+ t1 u) (+ t1 u))
(/ (neg t1) (* (+ t1 u) (/ (+ t1 u) v)))
(* (+ t1 u) (/ (+ t1 u) v))
(/ t1 (+ t1 u))
Outputs
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64)) (neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(+.f64 (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 t1 t1)) (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 u (-.f64 u t1))))
(+.f64 (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 u (-.f64 u t1))) (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 t1 t1)))
(+.f64 (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) t1) (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (neg.f64 u)))
(+.f64 (*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64)) (neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(+.f64 (*.f64 (*.f64 t1 t1) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))))
(+.f64 (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) (*.f64 (*.f64 t1 t1) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))))
(+.f64 (*.f64 t1 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (*.f64 (neg.f64 u) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v t1)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (/.f64 (-.f64 (neg.f64 t1) u) t1))) (/.f64 (neg.f64 v) (*.f64 (+.f64 t1 u) (/.f64 (-.f64 (neg.f64 t1) u) t1))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 (neg.f64 t1) u) v)) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(fma.f64 t1 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (neg.f64 u) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))))
(fma.f64 (*.f64 t1 t1) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))))
(fma.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 (*.f64 t1 t1) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))))
(fma.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(fma.f64 #s(literal 0 binary64) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(fma.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(fma.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 t1 t1) (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 u (-.f64 u t1))))
(fma.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 u (-.f64 u t1)) (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 t1 t1)))
(fma.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) t1 (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (neg.f64 u)))
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(neg.f64 (/.f64 (neg.f64 v) (*.f64 (+.f64 t1 u) (/.f64 (-.f64 (neg.f64 t1) u) t1))))
(/.f64 v (*.f64 (+.f64 t1 u) (/.f64 (-.f64 (neg.f64 t1) u) t1)))
(/.f64 (neg.f64 v) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1))
(/.f64 t1 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (neg.f64 v)))
(/.f64 (/.f64 v (-.f64 (neg.f64 t1) u)) (/.f64 (+.f64 t1 u) t1))
(/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (neg.f64 t1) u) v))
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
(/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (neg.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) #s(literal 1 binary64))
(/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v t1))))
(/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (-.f64 (neg.f64 t1) u) t1))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (*.f64 (+.f64 t1 u) (/.f64 #s(literal -1 binary64) (*.f64 v t1))))
(/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) t1))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v t1)))
(/.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) v))
(/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (+.f64 t1 u))
(/.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (/.f64 (+.f64 t1 u) v))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 (/.f64 (+.f64 t1 u) v) t1))
(/.f64 (/.f64 (*.f64 v t1) (+.f64 t1 u)) (-.f64 (neg.f64 t1) u))
(/.f64 (neg.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 #s(literal 1 binary64) t1))
(/.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1))))
(/.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))) (*.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) t1)) (*.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)) (*.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (/.f64 t1 (+.f64 t1 u)))) (*.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (/.f64 (+.f64 t1 u) v)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (neg.f64 v))) (*.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (neg.f64 t1))) (*.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (neg.f64 v))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v t1))) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))) (*.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v t1))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 t1 u)) (*.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (/.f64 (*.f64 v t1) (+.f64 t1 u)))) (*.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (+.f64 t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))))
(/.f64 (/.f64 (neg.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(/.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal -1 binary64)) (/.f64 (+.f64 t1 u) v))
(/.f64 (*.f64 (/.f64 v (-.f64 (neg.f64 t1) u)) #s(literal -1 binary64)) (/.f64 (-.f64 (neg.f64 t1) u) t1))
(/.f64 (*.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) #s(literal 1 binary64)) (+.f64 t1 u))
(/.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 (neg.f64 t1))) t1)
(/.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (neg.f64 (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 t1 t1 #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 t1 (*.f64 (*.f64 t1 t1) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 u (-.f64 u t1)))))) (fma.f64 t1 (*.f64 t1 (*.f64 t1 t1)) (*.f64 (*.f64 u (-.f64 u t1)) (-.f64 (*.f64 u (-.f64 u t1)) (*.f64 t1 t1)))))
(/.f64 (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))
(/.f64 (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (+.f64 t1 u))
(/.f64 (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))) (-.f64 t1 u))) (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))))
(/.f64 (*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (neg.f64 (*.f64 v (*.f64 v v)))) (fma.f64 v v #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (neg.f64 (*.f64 v v))) v)
(/.f64 (*.f64 (neg.f64 (*.f64 v (*.f64 v v))) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (fma.f64 v v #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 v v)) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) v)
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(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) v) (*.f64 (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))) (-.f64 t1 u))) (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))))
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(+.f64 (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) (*.f64 (*.f64 t1 t1) (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))))
(+.f64 (*.f64 t1 (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (*.f64 (neg.f64 u) (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 t1 u) t1)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 t1 (+.f64 t1 u))))
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(fma.f64 (*.f64 t1 t1) (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))))
(fma.f64 (*.f64 u (-.f64 u t1)) (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 (*.f64 t1 t1) (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))))
(fma.f64 (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 t1 t1) (*.f64 (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 u (-.f64 u t1))))
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(fma.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) t1 (*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (neg.f64 u)))
(neg.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))))
(/.f64 t1 (+.f64 t1 u))
(/.f64 (neg.f64 t1) (-.f64 (neg.f64 t1) u))
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(/.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(/.f64 (*.f64 t1 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))
(/.f64 (*.f64 t1 (-.f64 t1 u)) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 t1 u)) (*.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 t1) u)) (*.f64 t1 (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (neg.f64 t1) u) t1)) (*.f64 (-.f64 (neg.f64 t1) u) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (neg.f64 (/.f64 t1 (+.f64 t1 u))) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 t1 (+.f64 t1 u)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (neg.f64 (/.f64 t1 (+.f64 t1 u))))) (neg.f64 (/.f64 t1 (+.f64 t1 u))))
(/.f64 (*.f64 (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 t1 (*.f64 (*.f64 t1 t1) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 u (-.f64 u t1)))))) (fma.f64 t1 (*.f64 t1 (*.f64 t1 t1)) (*.f64 (*.f64 u (-.f64 u t1)) (-.f64 (*.f64 u (-.f64 u t1)) (*.f64 t1 t1)))))
(/.f64 (*.f64 (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))
(/.f64 (*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (+.f64 t1 u))
(/.f64 (*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))) (-.f64 t1 u))) (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))))
(/.f64 (*.f64 (*.f64 t1 (neg.f64 t1)) (/.f64 #s(literal -1 binary64) (+.f64 t1 u))) t1)
(/.f64 (*.f64 (neg.f64 (*.f64 t1 (*.f64 t1 t1))) (/.f64 #s(literal -1 binary64) (+.f64 t1 u))) (fma.f64 t1 t1 #s(literal 0 binary64)))
(pow.f64 (/.f64 (+.f64 t1 u) t1) #s(literal -1 binary64))
(*.f64 t1 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)))
(*.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal 1 binary64))
(*.f64 (neg.f64 t1) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
(*.f64 (neg.f64 t1) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 t1 (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) t1)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (pow.f64 (/.f64 #s(literal 1 binary64) t1) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t1 (+.f64 t1 u))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (neg.f64 t1))
(*.f64 (/.f64 (neg.f64 t1) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (neg.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1))))
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (neg.f64 (-.f64 t1 u)))
(*.f64 (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))
(*.f64 (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 u u (*.f64 t1 (-.f64 t1 u))))
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(*.f64 (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)) #s(literal 1 binary64)))
(*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (-.f64 t1 u))
(*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)) t1))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 t1 (-.f64 t1 u)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 t1 (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (-.f64 t1 u) t1))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) #s(literal -1 binary64)) (neg.f64 t1))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 t1 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (-.f64 t1 u))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t1) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (-.f64 t1 u))
(*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 u t1))) (-.f64 u t1))

simplify383.0ms (3.6%)

Memory
-19.4MiB live, 657.4MiB allocated
Algorithm
egg-herbie
Rules
8 458×accelerator-lowering-fma.f32
8 458×accelerator-lowering-fma.f64
5 540×*-lowering-*.f32
5 540×*-lowering-*.f64
2 816×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05974754
118404503
255934445
081494276
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v u))
(+ (* -1 (/ v u)) (/ (* t1 v) (pow u 2)))
(+ (* -1 (/ v u)) (* t1 (+ (* -1 (/ (* t1 v) (pow u 3))) (/ v (pow u 2)))))
(+ (* -1 (/ v u)) (* t1 (+ (* t1 (+ (* -1 (/ v (pow u 3))) (/ (* t1 v) (pow u 4)))) (/ v (pow u 2)))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (/ (* u v) t1)) t1)
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (+ (/ (* u v) t1) (/ (* (pow u 3) v) (pow t1 3))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -1 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))
(* -1 (/ v t1))
(+ (* -1 (/ v t1)) (/ (* u v) (pow t1 2)))
(+ (* -1 (/ v t1)) (* u (+ (* -1 (/ (* u v) (pow t1 3))) (/ v (pow t1 2)))))
(+ (* -1 (/ v t1)) (* u (+ (* u (+ (* -1 (/ v (pow t1 3))) (/ (* u v) (pow t1 4)))) (/ v (pow t1 2)))))
(* -1 (/ v u))
(/ (+ (* -1 v) (/ (* t1 v) u)) u)
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (+ (/ (* t1 v) u) (/ (* (pow t1 3) v) (pow u 3))))) u)
(* -1 (/ v u))
(* -1 (/ (+ v (* -1 (/ (* t1 v) u))) u))
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u))) u))
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow t1 3) v) u)) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
u
(+ t1 u)
(+ t1 u)
(+ t1 u)
t1
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
t1
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
t1
(+ t1 u)
(+ t1 u)
(+ t1 u)
u
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
u
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
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(* -1 (* t1 v))
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(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
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(* -1 (* t1 v))
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(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 t1)
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(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
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(* -1 t1)
(* -1 t1)
(* -1 t1)
(pow t1 2)
(pow t1 2)
(pow t1 2)
(pow t1 2)
(pow t1 2)
(pow t1 2)
(pow t1 2)
(pow t1 2)
(pow t1 2)
(pow t1 2)
(pow t1 2)
(pow t1 2)
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ v t1))
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(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(* -1 (/ (* t1 v) (pow u 2)))
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(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ t1 (pow u 2)))
(* t1 (- (* 2 (/ t1 (pow u 3))) (/ 1 (pow u 2))))
(* t1 (- (* t1 (+ (* -3 (/ t1 (pow u 4))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2))))
(* t1 (- (* t1 (+ (* t1 (- (* 4 (/ t1 (pow u 5))) (* 3 (/ 1 (pow u 4))))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2))))
(/ -1 t1)
(/ (- (* 2 (/ u t1)) 1) t1)
(/ (- (* -1 (/ (+ (* -1 (pow u 2)) (* 4 (pow u 2))) (pow t1 2))) (+ 1 (* -2 (/ u t1)))) t1)
(/ (- (* -1 (/ (+ (* -2 (* u (+ (* -1 (pow u 2)) (* 4 (pow u 2))))) (* 2 (pow u 3))) (pow t1 3))) (+ 1 (+ (* -2 (/ u t1)) (+ (* -1 (/ (pow u 2) (pow t1 2))) (* 4 (/ (pow u 2) (pow t1 2))))))) t1)
(/ -1 t1)
(* -1 (/ (+ 1 (* -2 (/ u t1))) t1))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow u 2) t1)) (/ (pow u 2) t1)) (* -2 u)) t1))) t1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (pow u 2)) (pow u 2))) t1)) (* 2 (/ (pow u 3) t1))) (+ (* -4 (pow u 2)) (pow u 2))) t1)) (* -2 u)) t1))) t1))
(/ -1 t1)
(- (* 2 (/ u (pow t1 2))) (/ 1 t1))
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(- (* u (+ (* u (- (* 4 (/ u (pow t1 4))) (* 3 (/ 1 (pow t1 3))))) (* 2 (/ 1 (pow t1 2))))) (/ 1 t1))
(* -1 (/ t1 (pow u 2)))
(/ (+ (* -1 t1) (* 2 (/ (pow t1 2) u))) (pow u 2))
(/ (+ (* -4 (/ (pow t1 3) (pow u 2))) (+ (* -1 t1) (+ (* 2 (/ (pow t1 2) u)) (/ (pow t1 3) (pow u 2))))) (pow u 2))
(/ (+ (* -4 (/ (pow t1 3) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (pow t1 3)) (pow t1 3))) (pow u 3))) (+ (* -2 (/ (pow t1 4) (pow u 3))) (+ (* -1 t1) (+ (* 2 (/ (pow t1 2) u)) (/ (pow t1 3) (pow u 2))))))) (pow u 2))
(* -1 (/ t1 (pow u 2)))
(/ (+ (* -1 t1) (* 2 (/ (pow t1 2) u))) (pow u 2))
(/ (+ (* -1 t1) (* -1 (/ (+ (* -2 (pow t1 2)) (* -1 (/ (+ (* -4 (pow t1 3)) (pow t1 3)) u))) u))) (pow u 2))
(/ (+ (* -1 t1) (* -1 (/ (+ (* -2 (pow t1 2)) (* -1 (/ (+ (* -4 (pow t1 3)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (pow t1 3)) (pow t1 3)))) (* 2 (pow t1 4))) u)) (pow t1 3))) u))) u))) (pow u 2))
(pow u 2)
(+ (* 2 (* t1 u)) (pow u 2))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(pow t1 2)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(pow t1 2)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(pow t1 2)
(+ (* 2 (* t1 u)) (pow t1 2))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(pow u 2)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(pow u 2)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ v t1))
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(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
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(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
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(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/ (pow u 2) v)
(+ (* 2 (/ (* t1 u) v)) (/ (pow u 2) v))
(+ (* t1 (+ (* 2 (/ u v)) (/ t1 v))) (/ (pow u 2) v))
(+ (* t1 (+ (* 2 (/ u v)) (/ t1 v))) (/ (pow u 2) v))
(/ (pow t1 2) v)
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (/ 1 v)))
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (+ (/ 1 v) (/ (pow u 2) (* (pow t1 2) v)))))
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (+ (/ 1 v) (/ (pow u 2) (* (pow t1 2) v)))))
(/ (pow t1 2) v)
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (/ 1 v)))
(* (pow t1 2) (+ (* -1 (/ (+ (* -2 (/ u v)) (* -1 (/ (pow u 2) (* t1 v)))) t1)) (/ 1 v)))
(* (pow t1 2) (+ (* -1 (/ (+ (* -2 (/ u v)) (* -1 (/ (pow u 2) (* t1 v)))) t1)) (/ 1 v)))
(/ (pow t1 2) v)
(+ (* 2 (/ (* t1 u) v)) (/ (pow t1 2) v))
(+ (* u (+ (* 2 (/ t1 v)) (/ u v))) (/ (pow t1 2) v))
(+ (* u (+ (* 2 (/ t1 v)) (/ u v))) (/ (pow t1 2) v))
(/ (pow u 2) v)
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (/ 1 v)))
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (+ (/ 1 v) (/ (pow t1 2) (* (pow u 2) v)))))
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (+ (/ 1 v) (/ (pow t1 2) (* (pow u 2) v)))))
(/ (pow u 2) v)
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (/ 1 v)))
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v)))
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v)))
(/ (pow (+ t1 u) 2) v)
(/ (pow (+ t1 u) 2) v)
(/ (pow (+ t1 u) 2) v)
(/ (pow (+ t1 u) 2) v)
(/ (pow (+ t1 u) 2) v)
(/ (pow (+ t1 u) 2) v)
(/ (pow (+ t1 u) 2) v)
(/ (pow (+ t1 u) 2) v)
(/ (pow (+ t1 u) 2) v)
(/ (pow (+ t1 u) 2) v)
(/ (pow (+ t1 u) 2) v)
(/ (pow (+ t1 u) 2) v)
(/ t1 u)
(* t1 (+ (* -1 (/ t1 (pow u 2))) (/ 1 u)))
(* t1 (+ (* t1 (- (/ t1 (pow u 3)) (/ 1 (pow u 2)))) (/ 1 u)))
(* t1 (+ (* t1 (- (* t1 (+ (* -1 (/ t1 (pow u 4))) (/ 1 (pow u 3)))) (/ 1 (pow u 2)))) (/ 1 u)))
1
(+ 1 (* -1 (/ u t1)))
(- (+ 1 (/ (pow u 2) (pow t1 2))) (/ u t1))
(- (+ 1 (* -1 (/ (pow u 3) (pow t1 3)))) (+ (* -1 (/ (pow u 2) (pow t1 2))) (/ u t1)))
1
(+ 1 (* -1 (/ u t1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow u 2) t1)) (* -1 u)) t1)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow u 3) t1)) (* -1 (pow u 2))) t1)) (* -1 u)) t1)))
1
(+ 1 (* -1 (/ u t1)))
(+ 1 (* u (- (/ u (pow t1 2)) (/ 1 t1))))
(+ 1 (* u (- (* u (+ (* -1 (/ u (pow t1 3))) (/ 1 (pow t1 2)))) (/ 1 t1))))
(/ t1 u)
(/ (+ t1 (* -1 (/ (pow t1 2) u))) u)
(/ (- (+ t1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u)) u)
(/ (- (+ t1 (* -1 (/ (pow t1 4) (pow u 3)))) (+ (* -1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u))) u)
(/ t1 u)
(* -1 (/ (+ (* -1 t1) (/ (pow t1 2) u)) u))
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (/ (pow t1 3) u) (pow t1 2)) u))) u))
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (* -1 (/ (- (/ (pow t1 4) u) (pow t1 3)) u)) (pow t1 2)) u))) u))
Outputs
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (neg.f64 (+.f64 t1 u))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (neg.f64 (+.f64 t1 u))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (neg.f64 (+.f64 t1 u))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (neg.f64 (+.f64 t1 u))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (neg.f64 (+.f64 t1 u))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (neg.f64 (+.f64 t1 u))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (neg.f64 (+.f64 t1 u))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (neg.f64 (+.f64 t1 u))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (neg.f64 (+.f64 t1 u))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (neg.f64 (+.f64 t1 u))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (neg.f64 (+.f64 t1 u))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (neg.f64 (+.f64 t1 u))))
(* -1 (/ (* t1 v) (pow u 2)))
(neg.f64 (*.f64 v (/.f64 t1 (*.f64 u u))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(*.f64 t1 (fma.f64 t1 (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 u (*.f64 u u)))) (/.f64 v (*.f64 u (neg.f64 u)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(*.f64 t1 (fma.f64 t1 (fma.f64 t1 (/.f64 (*.f64 #s(literal -3 binary64) v) (pow.f64 u #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 u (*.f64 u u))))) (/.f64 v (*.f64 u (neg.f64 u)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(*.f64 t1 (fma.f64 t1 (fma.f64 t1 (fma.f64 (*.f64 t1 #s(literal -2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 v (pow.f64 u #s(literal 4 binary64))) u) (/.f64 v (pow.f64 u #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3 binary64) v) (pow.f64 u #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 u (*.f64 u u))))) (/.f64 v (*.f64 u (neg.f64 u)))))
(* -1 (/ v t1))
(neg.f64 (/.f64 v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(neg.f64 (/.f64 (fma.f64 u (*.f64 (/.f64 v t1) #s(literal -2 binary64)) v) t1))
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
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(/.f64 (+.f64 t1 (/.f64 (fma.f64 t1 (neg.f64 t1) (/.f64 (*.f64 t1 (*.f64 t1 t1)) u)) u)) u)
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (* -1 (/ (- (/ (pow t1 4) u) (pow t1 3)) u)) (pow t1 2)) u))) u))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t1 (*.f64 t1 (*.f64 t1 t1))) u) (*.f64 t1 (*.f64 t1 t1))) u) (*.f64 t1 t1)) u) t1) (neg.f64 u))

eval552.0ms (5.1%)

Memory
42.2MiB live, 684.0MiB allocated
Compiler

Compiled 59 968 to 5 307 computations (91.2% saved)

prune325.0ms (3%)

Memory
-9.0MiB live, 724.6MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New2 809132 822
Fresh336
Picked325
Done011
Total2 815192 834
Accuracy
100.0%
Counts
2 834 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u)))
70.2%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
42.0%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
58.4%
(/.f64 (neg.f64 v) t1)
43.4%
(/.f64 (neg.f64 t1) (/.f64 (*.f64 u u) v))
50.1%
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 u v)))
54.8%
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 t1 v)))
58.3%
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
56.9%
(*.f64 (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) v)
95.1%
(*.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (-.f64 (neg.f64 t1) u)) v)
79.9%
(*.f64 (/.f64 (*.f64 v t1) (+.f64 t1 u)) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
50.7%
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 u))
65.8%
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) #s(literal 1 binary64))
75.1%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
42.7%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
50.0%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) t1)) v)
42.3%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
58.2%
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
43.1%
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
Compiler

Compiled 427 to 267 computations (37.5% saved)

simplify645.0ms (6%)

Memory
6.9MiB live, 674.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 2 binary64) t1)
cost-diff0
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
cost-diff0
(/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1)
cost-diff0
(*.f64 (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) v)
cost-diff0
(*.f64 u u)
cost-diff0
(/.f64 (*.f64 u u) v)
cost-diff0
(neg.f64 t1)
cost-diff384
(/.f64 (neg.f64 t1) (/.f64 (*.f64 u u) v))
cost-diff0
(*.f64 u u)
cost-diff0
(neg.f64 t1)
cost-diff0
(/.f64 (neg.f64 t1) (*.f64 u u))
cost-diff0
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
cost-diff0
(/.f64 #s(literal -1 binary64) t1)
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
cost-diff0
(+.f64 t1 u)
cost-diff0
(/.f64 v (+.f64 t1 u))
cost-diff0
(*.f64 (/.f64 v (+.f64 t1 u)) t1)
cost-diff384
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u)))
Rules
18 336×accelerator-lowering-fma.f32
18 336×accelerator-lowering-fma.f64
3 020×*-lowering-*.f32
3 020×*-lowering-*.f64
2 260×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023123
159122
2158122
3373122
4747122
51657122
63461122
75256122
86019122
96178122
106317122
116460122
126754122
136881122
147099122
157211122
167261122
177291122
187309122
197345122
207409122
217409122
08349119
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* (/ v (+ t1 u)) t1) (neg (+ t1 u)))
(* (/ v (+ t1 u)) t1)
(/ v (+ t1 u))
v
(+ t1 u)
t1
u
(neg (+ t1 u))
(* (/ -1 t1) v)
(/ -1 t1)
-1
t1
v
(* (/ (neg t1) (* u u)) v)
(/ (neg t1) (* u u))
(neg t1)
t1
(* u u)
u
v
(/ (neg t1) (/ (* u u) v))
(neg t1)
t1
(/ (* u u) v)
(* u u)
u
v
(* (/ (+ (* u (/ 2 t1)) -1) t1) v)
(/ (+ (* u (/ 2 t1)) -1) t1)
(+ (* u (/ 2 t1)) -1)
u
(/ 2 t1)
2
t1
-1
v
Outputs
(/ (* (/ v (+ t1 u)) t1) (neg (+ t1 u)))
(/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* (/ v (+ t1 u)) t1)
(/.f64 (*.f64 v t1) (+.f64 t1 u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
v
(+ t1 u)
(+.f64 t1 u)
t1
u
(neg (+ t1 u))
(-.f64 (neg.f64 t1) u)
(* (/ -1 t1) v)
(/.f64 v (neg.f64 t1))
(/ -1 t1)
(/.f64 #s(literal -1 binary64) t1)
-1
#s(literal -1 binary64)
t1
v
(* (/ (neg t1) (* u u)) v)
(/.f64 (*.f64 v t1) (*.f64 u (neg.f64 u)))
(/ (neg t1) (* u u))
(/.f64 t1 (*.f64 u (neg.f64 u)))
(neg t1)
(neg.f64 t1)
t1
(* u u)
(*.f64 u u)
u
v
(/ (neg t1) (/ (* u u) v))
(/.f64 (*.f64 v t1) (*.f64 u (neg.f64 u)))
(neg t1)
(neg.f64 t1)
t1
(/ (* u u) v)
(*.f64 u (/.f64 u v))
(* u u)
(*.f64 u u)
u
v
(* (/ (+ (* u (/ 2 t1)) -1) t1) v)
(/.f64 (fma.f64 v (/.f64 (+.f64 u u) t1) (neg.f64 v)) t1)
(/ (+ (* u (/ 2 t1)) -1) t1)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 u u) t1)) t1)
(+ (* u (/ 2 t1)) -1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 u u) t1))
u
(/ 2 t1)
(/.f64 #s(literal 2 binary64) t1)
2
#s(literal 2 binary64)
t1
-1
#s(literal -1 binary64)
v

localize127.0ms (1.2%)

Memory
-31.9MiB live, 133.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 2 binary64) t1)
accuracy99.9%
(/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1)
accuracy99.8%
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
accuracy96.8%
(*.f64 (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) v)
accuracy100.0%
(*.f64 u u)
accuracy100.0%
(neg.f64 t1)
accuracy89.3%
(/.f64 (neg.f64 t1) (/.f64 (*.f64 u u) v))
accuracy88.3%
(/.f64 (*.f64 u u) v)
accuracy100.0%
(*.f64 u u)
accuracy100.0%
(neg.f64 t1)
accuracy89.0%
(/.f64 (neg.f64 t1) (*.f64 u u))
accuracy86.4%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
accuracy100.0%
(/.f64 #s(literal -1 binary64) t1)
accuracy99.7%
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
accuracy100.0%
(neg.f64 (+.f64 t1 u))
accuracy100.0%
(/.f64 v (+.f64 t1 u))
accuracy98.7%
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u)))
accuracy85.9%
(*.f64 (/.f64 v (+.f64 t1 u)) t1)
Samples
100.0ms256×0valid
Compiler

Compiled 122 to 25 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 28.0ms (67.2% of total)
ival-mult: 9.0ms (21.6% of total)
ival-add: 3.0ms (7.2% of total)
ival-neg: 2.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-1.9MiB live, 73.7MiB allocated
Counts
17 → 432
Calls
Call 1
Inputs
#<alt (/ (* (/ v (+ t1 u)) t1) (neg (+ t1 u)))>
#<alt (* (/ v (+ t1 u)) t1)>
#<alt (/ v (+ t1 u))>
#<alt (+ t1 u)>
#<alt (* (/ -1 t1) v)>
#<alt (/ -1 t1)>
#<alt (* (/ (neg t1) (* u u)) v)>
#<alt (/ (neg t1) (* u u))>
#<alt (neg t1)>
#<alt (* u u)>
#<alt (/ (neg t1) (/ (* u u) v))>
#<alt (/ (* u u) v)>
#<alt (* (/ (+ (* u (/ 2 t1)) -1) t1) v)>
#<alt (/ (+ (* u (/ 2 t1)) -1) t1)>
#<alt (+ (* u (/ 2 t1)) -1)>
#<alt (/ 2 t1)>
#<alt (neg (+ t1 u))>
Outputs
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow u 2) v)) (* 4 (* (pow u 2) v))) t1)) (* 2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow u 2) v)) (+ (* -1 (/ (+ (* -2 (* (pow u 3) v)) (* 2 (* u (+ (* -1 (* (pow u 2) v)) (* 4 (* (pow u 2) v)))))) t1)) (* 4 (* (pow u 2) v)))) t1)) (* 2 (* u v))) t1))) t1))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (+ (* -1 (/ (* (pow t1 3) v) u)) (* 4 (/ (* (pow t1 3) v) u))) (* 2 (* (pow t1 2) v))) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow t1 4) v) u)) (* 2 (/ (* t1 (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u))) (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u)) (* 2 (* (pow t1 2) v))) u))) (pow u 2))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) u)>
#<alt (* t1 (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u)))>
#<alt (* t1 (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u)))>
#<alt (* t1 (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u)))>
#<alt v>
#<alt (+ v (* -1 (/ (* u v) t1)))>
#<alt (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))>
#<alt (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)))>
#<alt v>
#<alt (+ v (* -1 (/ (* u v) t1)))>
#<alt (+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1)))>
#<alt (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1)))>
#<alt v>
#<alt (+ v (* -1 (/ (* u v) t1)))>
#<alt (+ v (* u (- (/ (* u v) (pow t1 2)) (/ v t1))))>
#<alt (+ v (* u (- (* u (- (* -1 (/ (* u v) (pow t1 3))) (* -1 (/ v (pow t1 2))))) (/ v t1))))>
#<alt (/ (* t1 v) u)>
#<alt (/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u)>
#<alt (/ (- (+ (* t1 v) (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u)) u)>
#<alt (/ (- (+ (* -1 (/ (* (pow t1 4) v) (pow u 3))) (* t1 v)) (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u))) u)>
#<alt (/ (* t1 v) u)>
#<alt (* -1 (/ (+ (* -1 (* t1 v)) (/ (* (pow t1 2) v) u)) u))>
#<alt (* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u))) u))>
#<alt (* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 4) v) u) (* (pow t1 3) v)) u)) (* (pow t1 2) v)) u))) u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v u)>
#<alt (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u))>
#<alt (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u))>
#<alt (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u))>
#<alt (/ v t1)>
#<alt (/ (+ v (* -1 (/ (* u v) t1))) t1)>
#<alt (/ (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) t1)>
#<alt (/ (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)>
#<alt (/ v t1)>
#<alt (* -1 (/ (+ (* -1 v) (/ (* u v) t1)) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1))) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 3) v) t1) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))>
#<alt (/ v t1)>
#<alt (+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (+ (* u (- (/ (* u v) (pow t1 3)) (/ v (pow t1 2)))) (/ v t1))>
#<alt (+ (* u (- (* u (- (* -1 (/ (* u v) (pow t1 4))) (* -1 (/ v (pow t1 3))))) (/ v (pow t1 2)))) (/ v t1))>
#<alt (/ v u)>
#<alt (/ (+ v (* -1 (/ (* t1 v) u))) u)>
#<alt (/ (- (+ v (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u)) u)>
#<alt (/ (- (+ v (* -1 (/ (* (pow t1 3) v) (pow u 3)))) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)>
#<alt (/ v u)>
#<alt (* -1 (/ (+ (* -1 v) (/ (* t1 v) u)) u))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow t1 2) v) u) (* t1 v)) u))) u))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))>
#<alt u>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt t1>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt t1>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt t1>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt u>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt u>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (/ (pow u 2) v)>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (* 2 (/ (* u v) (pow t1 2)))>
#<alt (* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2)))))>
#<alt (* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2)))))>
#<alt (* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2)))))>
#<alt (* 2 (/ (* u v) (pow t1 2)))>
#<alt (* -1 (* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u)))))>
#<alt (* -1 (* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u)))))>
#<alt (* -1 (* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u)))))>
#<alt (* 2 (/ (* u v) (pow t1 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (* u v))) (pow t1 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (* u v))) (pow t1 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (* u v))) (pow t1 2))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ -1 t1)>
#<alt (- (* 2 (/ u (pow t1 2))) (/ 1 t1))>
#<alt (- (* 2 (/ u (pow t1 2))) (/ 1 t1))>
#<alt (- (* 2 (/ u (pow t1 2))) (/ 1 t1))>
#<alt (* 2 (/ u (pow t1 2)))>
#<alt (* u (- (* 2 (/ 1 (pow t1 2))) (/ 1 (* t1 u))))>
#<alt (* u (- (* 2 (/ 1 (pow t1 2))) (/ 1 (* t1 u))))>
#<alt (* u (- (* 2 (/ 1 (pow t1 2))) (/ 1 (* t1 u))))>
#<alt (* 2 (/ u (pow t1 2)))>
#<alt (* -1 (* u (- (/ 1 (* t1 u)) (* 2 (/ 1 (pow t1 2))))))>
#<alt (* -1 (* u (- (/ 1 (* t1 u)) (* 2 (/ 1 (pow t1 2))))))>
#<alt (* -1 (* u (- (/ 1 (* t1 u)) (* 2 (/ 1 (pow t1 2))))))>
#<alt (* 2 (/ u (pow t1 2)))>
#<alt (/ (+ (* -1 t1) (* 2 u)) (pow t1 2))>
#<alt (/ (+ (* -1 t1) (* 2 u)) (pow t1 2))>
#<alt (/ (+ (* -1 t1) (* 2 u)) (pow t1 2))>
#<alt (/ -1 t1)>
#<alt (/ (- (* 2 (/ u t1)) 1) t1)>
#<alt (/ (- (* 2 (/ u t1)) 1) t1)>
#<alt (/ (- (* 2 (/ u t1)) 1) t1)>
#<alt (/ -1 t1)>
#<alt (* -1 (/ (+ 1 (* -2 (/ u t1))) t1))>
#<alt (* -1 (/ (+ 1 (* -2 (/ u t1))) t1))>
#<alt (* -1 (/ (+ 1 (* -2 (/ u t1))) t1))>
#<alt -1>
#<alt (- (* 2 (/ u t1)) 1)>
#<alt (- (* 2 (/ u t1)) 1)>
#<alt (- (* 2 (/ u t1)) 1)>
#<alt (* 2 (/ u t1))>
#<alt (* u (- (* 2 (/ 1 t1)) (/ 1 u)))>
#<alt (* u (- (* 2 (/ 1 t1)) (/ 1 u)))>
#<alt (* u (- (* 2 (/ 1 t1)) (/ 1 u)))>
#<alt (* 2 (/ u t1))>
#<alt (* -1 (* u (- (/ 1 u) (* 2 (/ 1 t1)))))>
#<alt (* -1 (* u (- (/ 1 u) (* 2 (/ 1 t1)))))>
#<alt (* -1 (* u (- (/ 1 u) (* 2 (/ 1 t1)))))>
#<alt (* 2 (/ u t1))>
#<alt (/ (+ (* -1 t1) (* 2 u)) t1)>
#<alt (/ (+ (* -1 t1) (* 2 u)) t1)>
#<alt (/ (+ (* -1 t1) (* 2 u)) t1)>
#<alt -1>
#<alt (- (* 2 (/ u t1)) 1)>
#<alt (- (* 2 (/ u t1)) 1)>
#<alt (- (* 2 (/ u t1)) 1)>
#<alt -1>
#<alt (- (* 2 (/ u t1)) 1)>
#<alt (- (* 2 (/ u t1)) 1)>
#<alt (- (* 2 (/ u t1)) 1)>
#<alt (/ 2 t1)>
#<alt (/ 2 t1)>
#<alt (/ 2 t1)>
#<alt (/ 2 t1)>
#<alt (/ 2 t1)>
#<alt (/ 2 t1)>
#<alt (/ 2 t1)>
#<alt (/ 2 t1)>
#<alt (/ 2 t1)>
#<alt (/ 2 t1)>
#<alt (/ 2 t1)>
#<alt (/ 2 t1)>
#<alt (* -1 u)>
#<alt (- (* -1 t1) u)>
#<alt (- (* -1 t1) u)>
#<alt (- (* -1 t1) u)>
#<alt (* -1 t1)>
#<alt (* t1 (- (* -1 (/ u t1)) 1))>
#<alt (* t1 (- (* -1 (/ u t1)) 1))>
#<alt (* t1 (- (* -1 (/ u t1)) 1))>
#<alt (* -1 t1)>
#<alt (* -1 (* t1 (+ 1 (/ u t1))))>
#<alt (* -1 (* t1 (+ 1 (/ u t1))))>
#<alt (* -1 (* t1 (+ 1 (/ u t1))))>
#<alt (* -1 t1)>
#<alt (- (* -1 u) t1)>
#<alt (- (* -1 u) t1)>
#<alt (- (* -1 u) t1)>
#<alt (* -1 u)>
#<alt (* u (- (* -1 (/ t1 u)) 1))>
#<alt (* u (- (* -1 (/ t1 u)) 1))>
#<alt (* u (- (* -1 (/ t1 u)) 1))>
#<alt (* -1 u)>
#<alt (* -1 (* u (+ 1 (/ t1 u))))>
#<alt (* -1 (* u (+ 1 (/ t1 u))))>
#<alt (* -1 (* u (+ 1 (/ t1 u))))>
Calls

108 calls:

TimeVariablePointExpression
5.0ms
t1
@-inf
(* (/ (+ (* u (/ 2 t1)) -1) t1) v)
2.0ms
t1
@inf
(/ (neg t1) (* u u))
1.0ms
v
@0
(* (/ (+ (* u (/ 2 t1)) -1) t1) v)
1.0ms
u
@0
(* (/ (neg t1) (* u u)) v)
1.0ms
t1
@0
(* (/ (neg t1) (* u u)) v)

rewrite388.0ms (3.6%)

Memory
22.4MiB live, 616.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 588×*-lowering-*.f32
5 588×*-lowering-*.f64
4 826×/-lowering-/.f32
4 826×/-lowering-/.f64
3 790×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023101
1133100
294298
0872095
Stop Event
iter limit
node limit
Counts
17 → 1 205
Calls
Call 1
Inputs
(/ (* (/ v (+ t1 u)) t1) (neg (+ t1 u)))
(* (/ v (+ t1 u)) t1)
(/ v (+ t1 u))
(+ t1 u)
(* (/ -1 t1) v)
(/ -1 t1)
(* (/ (neg t1) (* u u)) v)
(/ (neg t1) (* u u))
(neg t1)
(* u u)
(/ (neg t1) (/ (* u u) v))
(/ (* u u) v)
(* (/ (+ (* u (/ 2 t1)) -1) t1) v)
(/ (+ (* u (/ 2 t1)) -1) t1)
(+ (* u (/ 2 t1)) -1)
(/ 2 t1)
(neg (+ t1 u))
Outputs
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 v t1))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 t1 u)) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v))) (/.f64 (neg.f64 t1) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v))))
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(neg.f64 (/.f64 (neg.f64 t1) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v))))
(/.f64 t1 (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v)))
(/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (-.f64 (neg.f64 t1) u) t1))
(/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (-.f64 (neg.f64 t1) u))
(/.f64 (neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) (*.f64 v t1))))
(/.f64 (neg.f64 t1) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v))
(/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (+.f64 t1 u))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 v t1)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v (neg.f64 t1))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 (+.f64 t1 u) (*.f64 v t1)))
(/.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal -1 binary64))
(/.f64 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (/.f64 (+.f64 t1 u) v))
(/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) t1))
(/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (neg.f64 t1) u) v))
(/.f64 (/.f64 v (-.f64 (neg.f64 t1) u)) (/.f64 (+.f64 t1 u) t1))
(/.f64 (/.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) v))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(/.f64 (*.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) #s(literal 1 binary64)) (+.f64 t1 u))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (*.f64 v t1)) (+.f64 t1 u))
(/.f64 (*.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) #s(literal 1 binary64)) (/.f64 (+.f64 t1 u) v))
(/.f64 (*.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) #s(literal -1 binary64)) (-.f64 (neg.f64 t1) u))
(/.f64 (*.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) #s(literal -1 binary64)) (/.f64 (-.f64 (neg.f64 t1) u) v))
(/.f64 (*.f64 (neg.f64 (*.f64 t1 (*.f64 t1 t1))) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (fma.f64 t1 t1 #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 t1 t1)) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) t1)
(/.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1)))))
(/.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(pow.f64 (/.f64 (neg.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 v t1)) #s(literal -1 binary64))
(*.f64 v (/.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (+.f64 t1 u)))
(*.f64 t1 (neg.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 t1 (+.f64 t1 u))))
(*.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
(*.f64 (neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 (neg.f64 t1) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 (neg.f64 t1) (pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) #s(literal -1 binary64)))
(*.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (/.f64 #s(literal 1 binary64) (+.f64 t1 u)))
(*.f64 (neg.f64 v) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (neg.f64 (/.f64 t1 (+.f64 t1 u)))))
(*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (*.f64 t1 (/.f64 v (+.f64 t1 u))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))))
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(*.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 t1) u)))
(*.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(*.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1)))))
(*.f64 (neg.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(*.f64 (neg.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 t1 u) (+.f64 t1 u) #s(literal 0 binary64))))
(*.f64 (neg.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal 1 binary64) (+.f64 t1 u)))
(*.f64 (/.f64 (neg.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (fma.f64 t1 (*.f64 (*.f64 t1 t1) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 u (-.f64 u t1)))))) (fma.f64 t1 (*.f64 t1 (*.f64 t1 t1)) (*.f64 (*.f64 u (-.f64 u t1)) (-.f64 (*.f64 u (-.f64 u t1)) (*.f64 t1 t1)))))
(*.f64 (/.f64 (neg.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))
(*.f64 (/.f64 (neg.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (+.f64 t1 u))
(*.f64 (/.f64 (neg.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))) (-.f64 t1 u))) (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))))

simplify516.0ms (4.8%)

Memory
-2.4MiB live, 829.6MiB allocated
Algorithm
egg-herbie
Rules
16 068×accelerator-lowering-fma.f32
16 068×accelerator-lowering-fma.f64
5 062×*-lowering-*.f32
5 062×*-lowering-*.f64
4 736×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04043792
112733653
239213500
083053395
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
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(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
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u
(+ t1 u)
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(* -1 (* u (- (/ 1 u) (* 2 (/ 1 t1)))))
(* -1 (* u (- (/ 1 u) (* 2 (/ 1 t1)))))
(* -1 (* u (- (/ 1 u) (* 2 (/ 1 t1)))))
(* 2 (/ u t1))
(/ (+ (* -1 t1) (* 2 u)) t1)
(/ (+ (* -1 t1) (* 2 u)) t1)
(/ (+ (* -1 t1) (* 2 u)) t1)
-1
(- (* 2 (/ u t1)) 1)
(- (* 2 (/ u t1)) 1)
(- (* 2 (/ u t1)) 1)
-1
(- (* 2 (/ u t1)) 1)
(- (* 2 (/ u t1)) 1)
(- (* 2 (/ u t1)) 1)
(/ 2 t1)
(/ 2 t1)
(/ 2 t1)
(/ 2 t1)
(/ 2 t1)
(/ 2 t1)
(/ 2 t1)
(/ 2 t1)
(/ 2 t1)
(/ 2 t1)
(/ 2 t1)
(/ 2 t1)
(* -1 u)
(- (* -1 t1) u)
(- (* -1 t1) u)
(- (* -1 t1) u)
(* -1 t1)
(* t1 (- (* -1 (/ u t1)) 1))
(* t1 (- (* -1 (/ u t1)) 1))
(* t1 (- (* -1 (/ u t1)) 1))
(* -1 t1)
(* -1 (* t1 (+ 1 (/ u t1))))
(* -1 (* t1 (+ 1 (/ u t1))))
(* -1 (* t1 (+ 1 (/ u t1))))
(* -1 t1)
(- (* -1 u) t1)
(- (* -1 u) t1)
(- (* -1 u) t1)
(* -1 u)
(* u (- (* -1 (/ t1 u)) 1))
(* u (- (* -1 (/ t1 u)) 1))
(* u (- (* -1 (/ t1 u)) 1))
(* -1 u)
(* -1 (* u (+ 1 (/ t1 u))))
(* -1 (* u (+ 1 (/ t1 u))))
(* -1 (* u (+ 1 (/ t1 u))))
Outputs
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u)))
(* -1 (/ (* t1 v) (pow u 2)))
(/.f64 (*.f64 t1 v) (*.f64 u (neg.f64 u)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(*.f64 t1 (-.f64 (/.f64 (*.f64 (*.f64 t1 v) #s(literal 2 binary64)) (*.f64 u (*.f64 u u))) (/.f64 v (*.f64 u u))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(*.f64 t1 (fma.f64 t1 (fma.f64 t1 (/.f64 (*.f64 #s(literal -3 binary64) v) (pow.f64 u #s(literal 4 binary64))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 u (*.f64 u u)))) (/.f64 v (*.f64 u (neg.f64 u)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(*.f64 t1 (fma.f64 t1 (fma.f64 t1 (fma.f64 (*.f64 t1 #s(literal -2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 v (pow.f64 u #s(literal 4 binary64))) u) (/.f64 v (pow.f64 u #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3 binary64) v) (pow.f64 u #s(literal 4 binary64)))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 u (*.f64 u u)))) (/.f64 v (*.f64 u (neg.f64 u)))))
(* -1 (/ v t1))
(/.f64 v (neg.f64 t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(*.f64 (/.f64 v t1) (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)))
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/.f64 (+.f64 (fma.f64 u (*.f64 (/.f64 v t1) #s(literal 2 binary64)) (neg.f64 v)) (*.f64 (/.f64 v (*.f64 t1 t1)) (*.f64 #s(literal -3 binary64) (*.f64 u u)))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 u (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 v (*.f64 u u)) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u u) (/.f64 v (*.f64 t1 (*.f64 t1 t1)))))) (+.f64 (fma.f64 u (*.f64 (/.f64 v t1) #s(literal 2 binary64)) (neg.f64 v)) (*.f64 (/.f64 v (*.f64 t1 t1)) (*.f64 #s(literal -3 binary64) (*.f64 u u))))) t1)
(* -1 (/ v t1))
(/.f64 v (neg.f64 t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 v (/.f64 u t1)) v) t1))
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow u 2) v)) (* 4 (* (pow u 2) v))) t1)) (* 2 (* u v))) t1))) t1))
(/.f64 (-.f64 v (/.f64 (fma.f64 v (*.f64 u #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 v (*.f64 u u)) #s(literal -3 binary64)) t1)) t1)) (neg.f64 t1))
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow u 2) v)) (+ (* -1 (/ (+ (* -2 (* (pow u 3) v)) (* 2 (* u (+ (* -1 (* (pow u 2) v)) (* 4 (* (pow u 2) v)))))) t1)) (* 4 (* (pow u 2) v)))) t1)) (* 2 (* u v))) t1))) t1))
(/.f64 (-.f64 v (/.f64 (-.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal 3 binary64))) (/.f64 (fma.f64 v (*.f64 (*.f64 u (*.f64 u u)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v (*.f64 u (*.f64 u u))) #s(literal 3 binary64)))) t1)) t1)) t1)) (neg.f64 t1))
(* -1 (/ v t1))
(/.f64 v (neg.f64 t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(*.f64 (/.f64 v t1) (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(fma.f64 u (*.f64 #s(literal -3 binary64) (*.f64 u (/.f64 v (*.f64 t1 (*.f64 t1 t1))))) (*.f64 (/.f64 v t1) (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
(fma.f64 (*.f64 u u) (fma.f64 u (fma.f64 #s(literal -2 binary64) (/.f64 v (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1)) (/.f64 (*.f64 #s(literal 6 binary64) (/.f64 v (*.f64 t1 (*.f64 t1 t1)))) t1)) (/.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 (/.f64 v t1) (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))))
(* -1 (/ (* t1 v) (pow u 2)))
(/.f64 (*.f64 t1 v) (*.f64 u (neg.f64 u)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 #s(literal 2 binary64) (*.f64 t1 t1))) u) (*.f64 t1 v)) (*.f64 u u))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t1 (*.f64 t1 v)) u) (fma.f64 t1 (neg.f64 v) (*.f64 (/.f64 v (*.f64 u u)) (*.f64 #s(literal -3 binary64) (*.f64 t1 (*.f64 t1 t1)))))) (*.f64 u u))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 u u)) (fma.f64 v (/.f64 (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1) u) (/.f64 (*.f64 t1 (*.f64 (*.f64 v (*.f64 t1 (*.f64 t1 t1))) #s(literal -3 binary64))) u)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t1 (*.f64 t1 v)) u) (fma.f64 t1 (neg.f64 v) (*.f64 (/.f64 v (*.f64 u u)) (*.f64 #s(literal -3 binary64) (*.f64 t1 (*.f64 t1 t1))))))) (*.f64 u u))
(* -1 (/ (* t1 v) (pow u 2)))
(/.f64 (*.f64 t1 v) (*.f64 u (neg.f64 u)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 #s(literal 2 binary64) (*.f64 t1 t1))) u) (*.f64 t1 v)) (*.f64 u u))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (+ (* -1 (/ (* (pow t1 3) v) u)) (* 4 (/ (* (pow t1 3) v) u))) (* 2 (* (pow t1 2) v))) u))) (pow u 2))
(neg.f64 (/.f64 (fma.f64 t1 v (/.f64 (fma.f64 v (*.f64 #s(literal -2 binary64) (*.f64 t1 t1)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 v (*.f64 t1 (*.f64 t1 t1)))) u)) u)) (*.f64 u u)))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow t1 4) v) u)) (* 2 (/ (* t1 (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u))) (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u)) (* 2 (* (pow t1 2) v))) u))) (pow u 2))
(neg.f64 (/.f64 (fma.f64 t1 v (/.f64 (-.f64 (*.f64 v (*.f64 #s(literal -2 binary64) (*.f64 t1 t1))) (/.f64 (fma.f64 t1 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 v (*.f64 t1 (*.f64 t1 t1)))) u) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 t1 (*.f64 v (*.f64 t1 (*.f64 t1 t1)))) u) (*.f64 (*.f64 v (*.f64 t1 (*.f64 t1 t1))) #s(literal -3 binary64)))) u)) u)) (*.f64 u u)))
(/ (* t1 v) (+ t1 u))
(*.f64 v (/.f64 t1 (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 v (/.f64 t1 (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 v (/.f64 t1 (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 v (/.f64 t1 (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 v (/.f64 t1 (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 v (/.f64 t1 (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 v (/.f64 t1 (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 v (/.f64 t1 (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 v (/.f64 t1 (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 v (/.f64 t1 (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 v (/.f64 t1 (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 v (/.f64 t1 (+.f64 t1 u)))
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(* t1 (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u)))
(/.f64 (*.f64 t1 (fma.f64 t1 (/.f64 v (neg.f64 u)) v)) u)
(* t1 (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u)))
(*.f64 t1 (fma.f64 t1 (*.f64 (/.f64 v (*.f64 u u)) (+.f64 #s(literal -1 binary64) (/.f64 t1 u))) (/.f64 v u)))
(* t1 (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u)))
(*.f64 t1 (fma.f64 t1 (fma.f64 t1 (/.f64 (*.f64 t1 (neg.f64 v)) (pow.f64 u #s(literal 4 binary64))) (*.f64 (/.f64 v (*.f64 u u)) (+.f64 #s(literal -1 binary64) (/.f64 t1 u)))) (/.f64 v u)))
v
(+ v (* -1 (/ (* u v) t1)))
(-.f64 v (*.f64 v (/.f64 u t1)))
(- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))
(fma.f64 u (/.f64 (-.f64 (*.f64 v (/.f64 u t1)) v) t1) v)
(- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)))
(+.f64 v (/.f64 (neg.f64 (fma.f64 v u (/.f64 (*.f64 u (*.f64 v (-.f64 (/.f64 (*.f64 u u) t1) u))) t1))) t1))
v
(+ v (* -1 (/ (* u v) t1)))
(-.f64 v (*.f64 v (/.f64 u t1)))
(+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1)))
(fma.f64 u (/.f64 (-.f64 (*.f64 v (/.f64 u t1)) v) t1) v)
(+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1)))
(-.f64 v (/.f64 (fma.f64 v u (/.f64 (*.f64 u (*.f64 u (-.f64 v (*.f64 v (/.f64 u t1))))) (neg.f64 t1))) t1))
v
(+ v (* -1 (/ (* u v) t1)))
(-.f64 v (*.f64 v (/.f64 u t1)))
(+ v (* u (- (/ (* u v) (pow t1 2)) (/ v t1))))
(fma.f64 u (/.f64 (-.f64 (*.f64 v (/.f64 u t1)) v) t1) v)
(+ v (* u (- (* u (- (* -1 (/ (* u v) (pow t1 3))) (* -1 (/ v (pow t1 2))))) (/ v t1))))
(fma.f64 u (fma.f64 (neg.f64 u) (*.f64 (/.f64 v (*.f64 t1 t1)) (+.f64 #s(literal -1 binary64) (/.f64 u t1))) (/.f64 v (neg.f64 t1))) v)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u)
(/.f64 (*.f64 t1 (fma.f64 t1 (/.f64 v (neg.f64 u)) v)) u)
(/ (- (+ (* t1 v) (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u)) u)
(/.f64 (fma.f64 t1 (/.f64 (*.f64 t1 (fma.f64 t1 (/.f64 v u) (neg.f64 v))) u) (*.f64 t1 v)) u)
(/ (- (+ (* -1 (/ (* (pow t1 4) v) (pow u 3))) (* t1 v)) (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u))) u)
(/.f64 (fma.f64 v (-.f64 t1 (/.f64 (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1) (*.f64 u (*.f64 u u)))) (*.f64 (*.f64 t1 t1) (/.f64 (fma.f64 t1 (/.f64 v u) (neg.f64 v)) u))) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(* -1 (/ (+ (* -1 (* t1 v)) (/ (* (pow t1 2) v) u)) u))
(/.f64 (*.f64 t1 (fma.f64 t1 (/.f64 v u) (neg.f64 v))) (neg.f64 u))
(* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u))) u))
(/.f64 (fma.f64 t1 (/.f64 (*.f64 t1 (fma.f64 t1 (/.f64 v u) (neg.f64 v))) u) (*.f64 t1 v)) u)
(* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 4) v) u) (* (pow t1 3) v)) u)) (* (pow t1 2) v)) u))) u))
(/.f64 (fma.f64 v (-.f64 t1 (/.f64 (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1) (*.f64 u (*.f64 u u)))) (*.f64 (*.f64 t1 t1) (/.f64 (fma.f64 t1 (/.f64 v u) (neg.f64 v)) u))) u)
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
(/ v u)
(/.f64 v u)
(+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u))
(/.f64 (fma.f64 t1 (/.f64 v (neg.f64 u)) v) u)
(+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u))
(fma.f64 t1 (*.f64 (/.f64 v (*.f64 u u)) (+.f64 #s(literal -1 binary64) (/.f64 t1 u))) (/.f64 v u))
(+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u))
(fma.f64 t1 (fma.f64 t1 (/.f64 (*.f64 t1 (neg.f64 v)) (pow.f64 u #s(literal 4 binary64))) (*.f64 (/.f64 v (*.f64 u u)) (+.f64 #s(literal -1 binary64) (/.f64 t1 u)))) (/.f64 v u))
(/ v t1)
(/.f64 v t1)
(/ (+ v (* -1 (/ (* u v) t1))) t1)
(/.f64 (-.f64 v (*.f64 v (/.f64 u t1))) t1)
(/ (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) t1)
(/.f64 (fma.f64 u (/.f64 (-.f64 (*.f64 v (/.f64 u t1)) v) t1) v) t1)
(/ (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)
(/.f64 (+.f64 v (/.f64 (neg.f64 (fma.f64 v u (/.f64 (*.f64 u (*.f64 v (-.f64 (/.f64 (*.f64 u u) t1) u))) t1))) t1)) t1)
(/ v t1)
(/.f64 v t1)
(* -1 (/ (+ (* -1 v) (/ (* u v) t1)) t1))
(/.f64 (-.f64 v (*.f64 v (/.f64 u t1))) t1)
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1))) t1))
(/.f64 (fma.f64 u (/.f64 (-.f64 (*.f64 v (/.f64 u t1)) v) t1) v) t1)
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 3) v) t1) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))
(/.f64 (+.f64 v (/.f64 (neg.f64 (fma.f64 v u (/.f64 (*.f64 u (*.f64 v (-.f64 (/.f64 (*.f64 u u) t1) u))) t1))) t1)) t1)
(/ v t1)
(/.f64 v t1)
(+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1))
(/.f64 (-.f64 v (*.f64 v (/.f64 u t1))) t1)
(+ (* u (- (/ (* u v) (pow t1 3)) (/ v (pow t1 2)))) (/ v t1))
(fma.f64 u (*.f64 (/.f64 v (*.f64 t1 t1)) (+.f64 #s(literal -1 binary64) (/.f64 u t1))) (/.f64 v t1))
(+ (* u (- (* u (- (* -1 (/ (* u v) (pow t1 4))) (* -1 (/ v (pow t1 3))))) (/ v (pow t1 2)))) (/ v t1))
(fma.f64 u (fma.f64 u (/.f64 (*.f64 v u) (neg.f64 (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1))) (*.f64 (/.f64 v (*.f64 t1 t1)) (+.f64 #s(literal -1 binary64) (/.f64 u t1)))) (/.f64 v t1))
(/ v u)
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(neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 v (/.f64 u t1)) v) t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 v (/.f64 u t1)) v) t1))
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/.f64 (*.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/.f64 (*.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/.f64 (*.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/.f64 (*.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/.f64 (*.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/.f64 (*.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/.f64 (*.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/.f64 (*.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/.f64 (*.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/.f64 (*.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/.f64 (*.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/.f64 (*.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))) t1)
(/ -1 t1)
(/.f64 #s(literal -1 binary64) t1)
(- (* 2 (/ u (pow t1 2))) (/ 1 t1))
(/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1)
(- (* 2 (/ u (pow t1 2))) (/ 1 t1))
(/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1)
(- (* 2 (/ u (pow t1 2))) (/ 1 t1))
(/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1)
(* 2 (/ u (pow t1 2)))
(/.f64 (*.f64 u #s(literal 2 binary64)) (*.f64 t1 t1))
(* u (- (* 2 (/ 1 (pow t1 2))) (/ 1 (* t1 u))))
(*.f64 u (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 t1 t1)) (/.f64 #s(literal -1 binary64) (*.f64 t1 u))))
(* u (- (* 2 (/ 1 (pow t1 2))) (/ 1 (* t1 u))))
(*.f64 u (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 t1 t1)) (/.f64 #s(literal -1 binary64) (*.f64 t1 u))))
(* u (- (* 2 (/ 1 (pow t1 2))) (/ 1 (* t1 u))))
(*.f64 u (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 t1 t1)) (/.f64 #s(literal -1 binary64) (*.f64 t1 u))))
(* 2 (/ u (pow t1 2)))
(/.f64 (*.f64 u #s(literal 2 binary64)) (*.f64 t1 t1))
(* -1 (* u (- (/ 1 (* t1 u)) (* 2 (/ 1 (pow t1 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t1 u)) (/.f64 #s(literal -2 binary64) (*.f64 t1 t1))) (neg.f64 u))
(* -1 (* u (- (/ 1 (* t1 u)) (* 2 (/ 1 (pow t1 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t1 u)) (/.f64 #s(literal -2 binary64) (*.f64 t1 t1))) (neg.f64 u))
(* -1 (* u (- (/ 1 (* t1 u)) (* 2 (/ 1 (pow t1 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t1 u)) (/.f64 #s(literal -2 binary64) (*.f64 t1 t1))) (neg.f64 u))
(* 2 (/ u (pow t1 2)))
(/.f64 (*.f64 u #s(literal 2 binary64)) (*.f64 t1 t1))
(/ (+ (* -1 t1) (* 2 u)) (pow t1 2))
(/.f64 (-.f64 (*.f64 u #s(literal 2 binary64)) t1) (*.f64 t1 t1))
(/ (+ (* -1 t1) (* 2 u)) (pow t1 2))
(/.f64 (-.f64 (*.f64 u #s(literal 2 binary64)) t1) (*.f64 t1 t1))
(/ (+ (* -1 t1) (* 2 u)) (pow t1 2))
(/.f64 (-.f64 (*.f64 u #s(literal 2 binary64)) t1) (*.f64 t1 t1))
(/ -1 t1)
(/.f64 #s(literal -1 binary64) t1)
(/ (- (* 2 (/ u t1)) 1) t1)
(/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1)
(/ (- (* 2 (/ u t1)) 1) t1)
(/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1)
(/ (- (* 2 (/ u t1)) 1) t1)
(/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1)
(/ -1 t1)
(/.f64 #s(literal -1 binary64) t1)
(* -1 (/ (+ 1 (* -2 (/ u t1))) t1))
(neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 u t1) #s(literal 1 binary64)) t1))
(* -1 (/ (+ 1 (* -2 (/ u t1))) t1))
(neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 u t1) #s(literal 1 binary64)) t1))
(* -1 (/ (+ 1 (* -2 (/ u t1))) t1))
(neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 u t1) #s(literal 1 binary64)) t1))
-1
#s(literal -1 binary64)
(- (* 2 (/ u t1)) 1)
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
(- (* 2 (/ u t1)) 1)
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
(- (* 2 (/ u t1)) 1)
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
(* 2 (/ u t1))
(/.f64 (*.f64 u #s(literal 2 binary64)) t1)
(* u (- (* 2 (/ 1 t1)) (/ 1 u)))
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
(* u (- (* 2 (/ 1 t1)) (/ 1 u)))
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
(* u (- (* 2 (/ 1 t1)) (/ 1 u)))
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
(* 2 (/ u t1))
(/.f64 (*.f64 u #s(literal 2 binary64)) t1)
(* -1 (* u (- (/ 1 u) (* 2 (/ 1 t1)))))
(fma.f64 (neg.f64 u) (/.f64 #s(literal -2 binary64) t1) #s(literal -1 binary64))
(* -1 (* u (- (/ 1 u) (* 2 (/ 1 t1)))))
(fma.f64 (neg.f64 u) (/.f64 #s(literal -2 binary64) t1) #s(literal -1 binary64))
(* -1 (* u (- (/ 1 u) (* 2 (/ 1 t1)))))
(fma.f64 (neg.f64 u) (/.f64 #s(literal -2 binary64) t1) #s(literal -1 binary64))
(* 2 (/ u t1))
(/.f64 (*.f64 u #s(literal 2 binary64)) t1)
(/ (+ (* -1 t1) (* 2 u)) t1)
(/.f64 (-.f64 (*.f64 u #s(literal 2 binary64)) t1) t1)
(/ (+ (* -1 t1) (* 2 u)) t1)
(/.f64 (-.f64 (*.f64 u #s(literal 2 binary64)) t1) t1)
(/ (+ (* -1 t1) (* 2 u)) t1)
(/.f64 (-.f64 (*.f64 u #s(literal 2 binary64)) t1) t1)
-1
#s(literal -1 binary64)
(- (* 2 (/ u t1)) 1)
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
(- (* 2 (/ u t1)) 1)
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
(- (* 2 (/ u t1)) 1)
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 (/ u t1)) 1)
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
(- (* 2 (/ u t1)) 1)
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
(- (* 2 (/ u t1)) 1)
(fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64))
(/ 2 t1)
(/.f64 #s(literal 2 binary64) t1)
(/ 2 t1)
(/.f64 #s(literal 2 binary64) t1)
(/ 2 t1)
(/.f64 #s(literal 2 binary64) t1)
(/ 2 t1)
(/.f64 #s(literal 2 binary64) t1)
(/ 2 t1)
(/.f64 #s(literal 2 binary64) t1)
(/ 2 t1)
(/.f64 #s(literal 2 binary64) t1)
(/ 2 t1)
(/.f64 #s(literal 2 binary64) t1)
(/ 2 t1)
(/.f64 #s(literal 2 binary64) t1)
(/ 2 t1)
(/.f64 #s(literal 2 binary64) t1)
(/ 2 t1)
(/.f64 #s(literal 2 binary64) t1)
(/ 2 t1)
(/.f64 #s(literal 2 binary64) t1)
(/ 2 t1)
(/.f64 #s(literal 2 binary64) t1)
(* -1 u)
(neg.f64 u)
(- (* -1 t1) u)
(-.f64 (neg.f64 t1) u)
(- (* -1 t1) u)
(-.f64 (neg.f64 t1) u)
(- (* -1 t1) u)
(-.f64 (neg.f64 t1) u)
(* -1 t1)
(neg.f64 t1)
(* t1 (- (* -1 (/ u t1)) 1))
(neg.f64 (fma.f64 t1 (/.f64 u t1) t1))
(* t1 (- (* -1 (/ u t1)) 1))
(neg.f64 (fma.f64 t1 (/.f64 u t1) t1))
(* t1 (- (* -1 (/ u t1)) 1))
(neg.f64 (fma.f64 t1 (/.f64 u t1) t1))
(* -1 t1)
(neg.f64 t1)
(* -1 (* t1 (+ 1 (/ u t1))))
(neg.f64 (fma.f64 t1 (/.f64 u t1) t1))
(* -1 (* t1 (+ 1 (/ u t1))))
(neg.f64 (fma.f64 t1 (/.f64 u t1) t1))
(* -1 (* t1 (+ 1 (/ u t1))))
(neg.f64 (fma.f64 t1 (/.f64 u t1) t1))
(* -1 t1)
(neg.f64 t1)
(- (* -1 u) t1)
(-.f64 (neg.f64 t1) u)
(- (* -1 u) t1)
(-.f64 (neg.f64 t1) u)
(- (* -1 u) t1)
(-.f64 (neg.f64 t1) u)
(* -1 u)
(neg.f64 u)
(* u (- (* -1 (/ t1 u)) 1))
(neg.f64 (fma.f64 u (/.f64 t1 u) u))
(* u (- (* -1 (/ t1 u)) 1))
(neg.f64 (fma.f64 u (/.f64 t1 u) u))
(* u (- (* -1 (/ t1 u)) 1))
(neg.f64 (fma.f64 u (/.f64 t1 u) u))
(* -1 u)
(neg.f64 u)
(* -1 (* u (+ 1 (/ t1 u))))
(neg.f64 (fma.f64 u (/.f64 t1 u) u))
(* -1 (* u (+ 1 (/ t1 u))))
(neg.f64 (fma.f64 u (/.f64 t1 u) u))
(* -1 (* u (+ 1 (/ t1 u))))
(neg.f64 (fma.f64 u (/.f64 t1 u) u))

eval219.0ms (2%)

Memory
31.0MiB live, 453.6MiB allocated
Compiler

Compiled 32 748 to 3 738 computations (88.6% saved)

prune422.0ms (3.9%)

Memory
-7.7MiB live, 460.7MiB allocated
Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New1 85061 856
Fresh5611
Picked055
Done033
Total1 855201 875
Accuracy
100.0%
Counts
1 875 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u)))
49.1%
(/.f64 (*.f64 (/.f64 v u) (neg.f64 t1)) u)
47.8%
(/.f64 (*.f64 (/.f64 t1 u) (neg.f64 v)) u)
70.2%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
42.0%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
58.4%
(/.f64 (neg.f64 v) t1)
43.4%
(/.f64 (neg.f64 t1) (/.f64 (*.f64 u u) v))
50.1%
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 u v)))
54.8%
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 t1 v)))
65.8%
(/.f64 v (neg.f64 (+.f64 t1 u)))
58.3%
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
56.9%
(*.f64 (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) v)
75.1%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
42.7%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
50.0%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) t1)) v)
42.3%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
43.1%
(*.f64 (/.f64 v (*.f64 u (neg.f64 u))) t1)
49.2%
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
45.8%
(*.f64 (/.f64 #s(literal -1 binary64) u) (/.f64 (*.f64 v t1) u))
58.2%
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
Compiler

Compiled 367 to 232 computations (36.8% saved)

simplify361.0ms (3.4%)

Memory
-23.1MiB live, 137.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 v)
cost-diff0
(/.f64 t1 u)
cost-diff0
(*.f64 (/.f64 t1 u) (neg.f64 v))
cost-diff384
(/.f64 (*.f64 (/.f64 t1 u) (neg.f64 v)) u)
cost-diff0
(*.f64 (+.f64 t1 u) u)
cost-diff0
(neg.f64 t1)
cost-diff0
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u))
cost-diff0
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
cost-diff0
(*.f64 u u)
cost-diff0
(neg.f64 t1)
cost-diff0
(*.f64 (neg.f64 t1) v)
cost-diff0
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
cost-diff0
(/.f64 t1 v)
cost-diff576
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
cost-diff0
(+.f64 t1 u)
cost-diff0
(neg.f64 (+.f64 t1 u))
cost-diff0
(/.f64 v (neg.f64 (+.f64 t1 u)))
Rules
1 576×accelerator-lowering-fma.f32
1 576×accelerator-lowering-fma.f64
1 312×*-lowering-*.f32
1 312×*-lowering-*.f64
1 018×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020100
15899
217399
339599
467699
5137099
6232799
7268199
8277299
9280899
10281899
11284799
12301499
13314999
14323199
15332999
16344999
17353799
18365899
19373499
20373899
21381899
22399899
23436299
24436299
25440299
26440299
0440299
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ v (neg (+ t1 u)))
v
(neg (+ t1 u))
(+ t1 u)
t1
u
(/ -1 (/ t1 v))
-1
(/ t1 v)
t1
v
(/ (* (neg t1) v) (* u u))
(* (neg t1) v)
(neg t1)
t1
v
(* u u)
u
(* (/ (neg t1) (* (+ t1 u) u)) v)
(/ (neg t1) (* (+ t1 u) u))
(neg t1)
t1
(* (+ t1 u) u)
(+ t1 u)
u
v
(/ (* (/ t1 u) (neg v)) u)
(* (/ t1 u) (neg v))
(/ t1 u)
t1
u
(neg v)
v
Outputs
(/ v (neg (+ t1 u)))
(/.f64 v (-.f64 (neg.f64 t1) u))
v
(neg (+ t1 u))
(-.f64 (neg.f64 t1) u)
(+ t1 u)
(+.f64 t1 u)
t1
u
(/ -1 (/ t1 v))
(/.f64 v (neg.f64 t1))
-1
#s(literal -1 binary64)
(/ t1 v)
(/.f64 t1 v)
t1
v
(/ (* (neg t1) v) (* u u))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(* (neg t1) v)
(*.f64 v (neg.f64 t1))
(neg t1)
(neg.f64 t1)
t1
v
(* u u)
(*.f64 u u)
u
(* (/ (neg t1) (* (+ t1 u) u)) v)
(*.f64 v (/.f64 t1 (*.f64 u (-.f64 (neg.f64 t1) u))))
(/ (neg t1) (* (+ t1 u) u))
(/.f64 t1 (*.f64 u (-.f64 (neg.f64 t1) u)))
(neg t1)
(neg.f64 t1)
t1
(* (+ t1 u) u)
(*.f64 u (+.f64 t1 u))
(+ t1 u)
(+.f64 t1 u)
u
v
(/ (* (/ t1 u) (neg v)) u)
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(* (/ t1 u) (neg v))
(*.f64 v (/.f64 t1 (neg.f64 u)))
(/ t1 u)
(/.f64 t1 u)
t1
u
(neg v)
(neg.f64 v)
v

localize99.0ms (0.9%)

Memory
-8.6MiB live, 68.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 t1 u)
accuracy100.0%
(neg.f64 v)
accuracy97.5%
(/.f64 (*.f64 (/.f64 t1 u) (neg.f64 v)) u)
accuracy92.7%
(*.f64 (/.f64 t1 u) (neg.f64 v))
accuracy100.0%
(neg.f64 t1)
accuracy100.0%
(*.f64 (+.f64 t1 u) u)
accuracy95.1%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
accuracy83.1%
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u))
accuracy100.0%
(*.f64 (neg.f64 t1) v)
accuracy100.0%
(*.f64 u u)
accuracy100.0%
(neg.f64 t1)
accuracy79.4%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
accuracy100.0%
(/.f64 t1 v)
accuracy99.2%
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
accuracy100.0%
(+.f64 t1 u)
accuracy100.0%
(neg.f64 (+.f64 t1 u))
accuracy100.0%
(/.f64 v (neg.f64 (+.f64 t1 u)))
Samples
76.0ms256×0valid
Compiler

Compiled 102 to 22 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-neg: 23.0ms (52.3% of total)
ival-div: 11.0ms (25% of total)
ival-mult: 8.0ms (18.2% of total)
ival-add: 2.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
-10.2MiB live, 30.1MiB allocated
Counts
16 → 408
Calls
Call 1
Inputs
#<alt (/ v (neg (+ t1 u)))>
#<alt (neg (+ t1 u))>
#<alt (+ t1 u)>
#<alt (/ -1 (/ t1 v))>
#<alt (/ t1 v)>
#<alt (/ (* (neg t1) v) (* u u))>
#<alt (* (neg t1) v)>
#<alt (neg t1)>
#<alt (* u u)>
#<alt (* (/ (neg t1) (* (+ t1 u) u)) v)>
#<alt (/ (neg t1) (* (+ t1 u) u))>
#<alt (* (+ t1 u) u)>
#<alt (/ (* (/ t1 u) (neg v)) u)>
#<alt (* (/ t1 u) (neg v))>
#<alt (/ t1 u)>
#<alt (neg v)>
Outputs
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v u))>
#<alt (+ (* -1 (/ v u)) (/ (* t1 v) (pow u 2)))>
#<alt (+ (* -1 (/ v u)) (* t1 (+ (* -1 (/ (* t1 v) (pow u 3))) (/ v (pow u 2)))))>
#<alt (+ (* -1 (/ v u)) (* t1 (+ (* t1 (+ (* -1 (/ v (pow u 3))) (/ (* t1 v) (pow u 4)))) (/ v (pow u 2)))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (/ (* u v) t1)) t1)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (+ (/ (* u v) t1) (/ (* (pow u 3) v) (pow t1 3))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (* (pow u 2) v) t1)) (* -1 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow u 3) v) t1)) (* -1 (* (pow u 2) v))) t1)) (* -1 (* u v))) t1))) t1))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (/ (* u v) (pow t1 2)))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* -1 (/ (* u v) (pow t1 3))) (/ v (pow t1 2)))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* u (+ (* -1 (/ v (pow t1 3))) (/ (* u v) (pow t1 4)))) (/ v (pow t1 2)))))>
#<alt (* -1 (/ v u))>
#<alt (/ (+ (* -1 v) (/ (* t1 v) u)) u)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (+ (/ (* t1 v) u) (/ (* (pow t1 3) v) (pow u 3))))) u)>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ (+ v (* -1 (/ (* t1 v) u))) u))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (* (pow t1 2) v) u)) (* -1 (* t1 v))) u))) u))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t1 3) v) u)) (* -1 (* (pow t1 2) v))) u)) (* -1 (* t1 v))) u))) u))>
#<alt (* -1 u)>
#<alt (- (* -1 t1) u)>
#<alt (- (* -1 t1) u)>
#<alt (- (* -1 t1) u)>
#<alt (* -1 t1)>
#<alt (* t1 (- (* -1 (/ u t1)) 1))>
#<alt (* t1 (- (* -1 (/ u t1)) 1))>
#<alt (* t1 (- (* -1 (/ u t1)) 1))>
#<alt (* -1 t1)>
#<alt (* -1 (* t1 (+ 1 (/ u t1))))>
#<alt (* -1 (* t1 (+ 1 (/ u t1))))>
#<alt (* -1 (* t1 (+ 1 (/ u t1))))>
#<alt (* -1 t1)>
#<alt (- (* -1 u) t1)>
#<alt (- (* -1 u) t1)>
#<alt (- (* -1 u) t1)>
#<alt (* -1 u)>
#<alt (* u (- (* -1 (/ t1 u)) 1))>
#<alt (* u (- (* -1 (/ t1 u)) 1))>
#<alt (* u (- (* -1 (/ t1 u)) 1))>
#<alt (* -1 u)>
#<alt (* -1 (* u (+ 1 (/ t1 u))))>
#<alt (* -1 (* u (+ 1 (/ t1 u))))>
#<alt (* -1 (* u (+ 1 (/ t1 u))))>
#<alt u>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt t1>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt t1>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt t1>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt u>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt u>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (/ (* t1 v) (pow u 3))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* -1 (/ (* t1 v) (pow u 4))) (/ v (pow u 3))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* t1 (+ (* -1 (/ v (pow u 4))) (/ (* t1 v) (pow u 5)))) (/ v (pow u 3))))))>
#<alt (* -1 (/ v u))>
#<alt (+ (* -1 (/ v u)) (/ v t1))>
#<alt (+ (* -1 (/ v u)) (+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1)))>
#<alt (+ (* -1 (/ v u)) (+ (* -1 (/ (* u v) (pow t1 2))) (+ (/ v t1) (/ (* (pow u 2) v) (pow t1 3)))))>
#<alt (* -1 (/ v u))>
#<alt (+ (* -1 (/ v u)) (/ v t1))>
#<alt (+ (* -1 (/ v u)) (* -1 (/ (- (/ (* u v) t1) v) t1)))>
#<alt (+ (* -1 (/ v u)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1)) v) t1)))>
#<alt (* -1 (/ v u))>
#<alt (/ (+ (* -1 v) (/ (* u v) t1)) u)>
#<alt (/ (+ (* -1 v) (* u (+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1)))) u)>
#<alt (/ (+ (* -1 v) (* u (+ (* u (+ (* -1 (/ v (pow t1 2))) (/ (* u v) (pow t1 3)))) (/ v t1)))) u)>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (/ (* (pow t1 2) v) u)) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (+ (/ (* (pow t1 2) v) u) (/ (* (pow t1 4) v) (pow u 3))))) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (/ (* (pow t1 2) v) u)) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 4) v) u) (* (pow t1 3) v)) u)) (* (pow t1 2) v)) u))) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (* u (+ t1 u))))>
#<alt (* -1 (/ (* t1 v) (* u (+ t1 u))))>
#<alt (* -1 (/ (* t1 v) (* u (+ t1 u))))>
#<alt (* -1 (/ (* t1 v) (* u (+ t1 u))))>
#<alt (* -1 (/ (* t1 v) (* u (+ t1 u))))>
#<alt (* -1 (/ (* t1 v) (* u (+ t1 u))))>
#<alt (* -1 (/ (* t1 v) (* u (+ t1 u))))>
#<alt (* -1 (/ (* t1 v) (* u (+ t1 u))))>
#<alt (* -1 (/ (* t1 v) (* u (+ t1 u))))>
#<alt (* -1 (/ (* t1 v) (* u (+ t1 u))))>
#<alt (* -1 (/ (* t1 v) (* u (+ t1 u))))>
#<alt (* -1 (/ (* t1 v) (* u (+ t1 u))))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* t1 (- (/ t1 (pow u 3)) (/ 1 (pow u 2))))>
#<alt (* t1 (- (* t1 (+ (* -1 (/ t1 (pow u 4))) (/ 1 (pow u 3)))) (/ 1 (pow u 2))))>
#<alt (* t1 (- (* t1 (+ (* t1 (- (/ t1 (pow u 5)) (/ 1 (pow u 4)))) (/ 1 (pow u 3)))) (/ 1 (pow u 2))))>
#<alt (/ -1 u)>
#<alt (- (/ 1 t1) (/ 1 u))>
#<alt (- (+ (* -1 (/ u (pow t1 2))) (/ 1 t1)) (/ 1 u))>
#<alt (- (+ (/ 1 t1) (/ (pow u 2) (pow t1 3))) (+ (/ 1 u) (/ u (pow t1 2))))>
#<alt (/ -1 u)>
#<alt (- (/ 1 t1) (/ 1 u))>
#<alt (- (* -1 (/ (- (/ u t1) 1) t1)) (/ 1 u))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ (pow u 2) t1) u) t1)) 1) t1)) (/ 1 u))>
#<alt (/ -1 u)>
#<alt (/ (- (/ u t1) 1) u)>
#<alt (/ (- (* u (+ (* -1 (/ u (pow t1 2))) (/ 1 t1))) 1) u)>
#<alt (/ (- (* u (+ (* u (- (/ u (pow t1 3)) (/ 1 (pow t1 2)))) (/ 1 t1))) 1) u)>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (/ (+ (* -1 t1) (/ (pow t1 2) u)) (pow u 2))>
#<alt (/ (+ (* -1 t1) (+ (* -1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u))) (pow u 2))>
#<alt (/ (+ (* -1 t1) (+ (* -1 (/ (pow t1 3) (pow u 2))) (+ (/ (pow t1 2) u) (/ (pow t1 4) (pow u 3))))) (pow u 2))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (/ (+ (* -1 t1) (/ (pow t1 2) u)) (pow u 2))>
#<alt (/ (+ (* -1 t1) (* -1 (/ (- (/ (pow t1 3) u) (pow t1 2)) u))) (pow u 2))>
#<alt (/ (+ (* -1 t1) (* -1 (/ (- (* -1 (/ (- (/ (pow t1 4) u) (pow t1 3)) u)) (pow t1 2)) u))) (pow u 2))>
#<alt (pow u 2)>
#<alt (+ (* t1 u) (pow u 2))>
#<alt (+ (* t1 u) (pow u 2))>
#<alt (+ (* t1 u) (pow u 2))>
#<alt (* t1 u)>
#<alt (* t1 (+ u (/ (pow u 2) t1)))>
#<alt (* t1 (+ u (/ (pow u 2) t1)))>
#<alt (* t1 (+ u (/ (pow u 2) t1)))>
#<alt (* t1 u)>
#<alt (* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))>
#<alt (* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))>
#<alt (* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))>
#<alt (* t1 u)>
#<alt (* u (+ t1 u))>
#<alt (* u (+ t1 u))>
#<alt (* u (+ t1 u))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (+ 1 (/ t1 u)))>
#<alt (* (pow u 2) (+ 1 (/ t1 u)))>
#<alt (* (pow u 2) (+ 1 (/ t1 u)))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (+ 1 (/ t1 u)))>
#<alt (* (pow u 2) (+ 1 (/ t1 u)))>
#<alt (* (pow u 2) (+ 1 (/ t1 u)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<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)>
Calls

102 calls:

TimeVariablePointExpression
1.0ms
t1
@-inf
(/ (neg t1) (* (+ t1 u) u))
1.0ms
v
@0
(* (/ (neg t1) (* (+ t1 u) u)) v)
1.0ms
v
@inf
(* (/ (neg t1) (* (+ t1 u) u)) v)
1.0ms
u
@inf
(* (/ t1 u) (neg v))
1.0ms
v
@0
(* (/ t1 u) (neg v))

rewrite535.0ms (5%)

Memory
48.8MiB live, 426.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 858×*-lowering-*.f32
3 858×*-lowering-*.f64
3 512×/-lowering-/.f32
3 512×/-lowering-/.f64
1 648×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02080
111579
277379
3713379
0817579
Stop Event
iter limit
node limit
Counts
16 → 1 087
Calls
Call 1
Inputs
(/ v (neg (+ t1 u)))
(neg (+ t1 u))
(+ t1 u)
(/ -1 (/ t1 v))
(/ t1 v)
(/ (* (neg t1) v) (* u u))
(* (neg t1) v)
(neg t1)
(* u u)
(* (/ (neg t1) (* (+ t1 u) u)) v)
(/ (neg t1) (* (+ t1 u) u))
(* (+ t1 u) u)
(/ (* (/ t1 u) (neg v)) u)
(* (/ t1 u) (neg v))
(/ t1 u)
(neg v)
Outputs
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 v (+.f64 t1 u))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 (+.f64 t1 u) v))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u)))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(/.f64 v (-.f64 (neg.f64 t1) u))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
(/.f64 (neg.f64 v) (+.f64 t1 u))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 t1 u) v)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) v))
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 v (*.f64 v v))) (*.f64 (+.f64 t1 u) (*.f64 v v)))
(/.f64 (neg.f64 (*.f64 v v)) (*.f64 (+.f64 t1 u) v))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
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(/.f64 (*.f64 (neg.f64 (*.f64 t1 (*.f64 t1 t1))) #s(literal 1 binary64)) (*.f64 (*.f64 t1 t1) (neg.f64 u)))
(/.f64 (*.f64 (neg.f64 (*.f64 t1 t1)) #s(literal 1 binary64)) (*.f64 t1 (neg.f64 u)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 t1 (neg.f64 u)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 t1 (neg.f64 u)) (/.f64 t1 (neg.f64 u)) (*.f64 #s(literal 0 binary64) (/.f64 t1 (neg.f64 u))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 t1 (neg.f64 u)) (/.f64 t1 (neg.f64 u)))) (/.f64 t1 (neg.f64 u)))
(/.f64 (*.f64 (neg.f64 (*.f64 t1 (*.f64 t1 t1))) (/.f64 #s(literal -1 binary64) u)) (*.f64 t1 t1))
(/.f64 (*.f64 (neg.f64 (*.f64 t1 t1)) (/.f64 #s(literal -1 binary64) u)) t1)
(pow.f64 (/.f64 u t1) #s(literal -1 binary64))
(*.f64 t1 (/.f64 #s(literal 1 binary64) u))
(*.f64 #s(literal -1 binary64) (/.f64 t1 (neg.f64 u)))
(*.f64 (neg.f64 t1) (/.f64 #s(literal -1 binary64) u))
(*.f64 (/.f64 t1 u) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 t1 u))
(*.f64 (/.f64 t1 (neg.f64 u)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) u) t1)
(*.f64 (/.f64 #s(literal 1 binary64) u) (pow.f64 (/.f64 #s(literal 1 binary64) t1) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) u) (neg.f64 t1))
(*.f64 (pow.f64 (/.f64 u t1) #s(literal -1/2 binary64)) (pow.f64 (/.f64 u t1) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) u) #s(literal -1 binary64)) (neg.f64 t1))
(+.f64 (neg.f64 v) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 v))
(-.f64 #s(literal 0 binary64) v)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 v v) v))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 v v)) (/.f64 (*.f64 v (*.f64 v v)) (*.f64 v v)))
(fma.f64 v #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) v #s(literal 0 binary64))
(fma.f64 (neg.f64 v) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 v) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 v (*.f64 v v))) (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 v v)) (/.f64 #s(literal 1 binary64) v) #s(literal 0 binary64))
(neg.f64 v)
(/.f64 v #s(literal -1 binary64))
(/.f64 (neg.f64 v) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (neg.f64 (*.f64 v (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 v (neg.f64 (*.f64 v v))))
(/.f64 (neg.f64 (*.f64 v (*.f64 v v))) (*.f64 v v))
(/.f64 (neg.f64 (*.f64 v v)) v)
(/.f64 (*.f64 (neg.f64 (*.f64 v (*.f64 v v))) #s(literal 1 binary64)) (*.f64 v v))
(/.f64 (*.f64 (neg.f64 (*.f64 v v)) #s(literal 1 binary64)) v)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v (*.f64 v v)))) (*.f64 v v))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v v))) v)
(/.f64 (neg.f64 (neg.f64 (*.f64 v (*.f64 v v)))) (neg.f64 (*.f64 v v)))
(/.f64 (neg.f64 (neg.f64 (*.f64 v v))) (neg.f64 v))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 v) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 v) (neg.f64 v)) (*.f64 #s(literal 0 binary64) (neg.f64 v)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 v) (neg.f64 v))) v)
(*.f64 v #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) v)
(*.f64 (neg.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 v))
(*.f64 (neg.f64 (*.f64 v (*.f64 v v))) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (neg.f64 (*.f64 v v)) (/.f64 #s(literal 1 binary64) v))

simplify706.0ms (6.6%)

Memory
-3.1MiB live, 716.7MiB allocated
Algorithm
egg-herbie
Rules
12 452×accelerator-lowering-fma.f32
12 452×accelerator-lowering-fma.f64
3 920×*-lowering-*.f32
3 920×*-lowering-*.f64
2 996×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03312897
110032814
228472696
375962692
080452658
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v u))
(+ (* -1 (/ v u)) (/ (* t1 v) (pow u 2)))
(+ (* -1 (/ v u)) (* t1 (+ (* -1 (/ (* t1 v) (pow u 3))) (/ v (pow u 2)))))
(+ (* -1 (/ v u)) (* t1 (+ (* t1 (+ (* -1 (/ v (pow u 3))) (/ (* t1 v) (pow u 4)))) (/ v (pow u 2)))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (/ (* u v) t1)) t1)
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (+ (/ (* u v) t1) (/ (* (pow u 3) v) (pow t1 3))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -1 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (* (pow u 2) v) t1)) (* -1 (* u v))) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow u 3) v) t1)) (* -1 (* (pow u 2) v))) t1)) (* -1 (* u v))) t1))) t1))
(* -1 (/ v t1))
(+ (* -1 (/ v t1)) (/ (* u v) (pow t1 2)))
(+ (* -1 (/ v t1)) (* u (+ (* -1 (/ (* u v) (pow t1 3))) (/ v (pow t1 2)))))
(+ (* -1 (/ v t1)) (* u (+ (* u (+ (* -1 (/ v (pow t1 3))) (/ (* u v) (pow t1 4)))) (/ v (pow t1 2)))))
(* -1 (/ v u))
(/ (+ (* -1 v) (/ (* t1 v) u)) u)
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (+ (/ (* t1 v) u) (/ (* (pow t1 3) v) (pow u 3))))) u)
(* -1 (/ v u))
(* -1 (/ (+ v (* -1 (/ (* t1 v) u))) u))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (* (pow t1 2) v) u)) (* -1 (* t1 v))) u))) u))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t1 3) v) u)) (* -1 (* (pow t1 2) v))) u)) (* -1 (* t1 v))) u))) u))
(* -1 u)
(- (* -1 t1) u)
(- (* -1 t1) u)
(- (* -1 t1) u)
(* -1 t1)
(* t1 (- (* -1 (/ u t1)) 1))
(* t1 (- (* -1 (/ u t1)) 1))
(* t1 (- (* -1 (/ u t1)) 1))
(* -1 t1)
(* -1 (* t1 (+ 1 (/ u t1))))
(* -1 (* t1 (+ 1 (/ u t1))))
(* -1 (* t1 (+ 1 (/ u t1))))
(* -1 t1)
(- (* -1 u) t1)
(- (* -1 u) t1)
(- (* -1 u) t1)
(* -1 u)
(* u (- (* -1 (/ t1 u)) 1))
(* u (- (* -1 (/ t1 u)) 1))
(* u (- (* -1 (/ t1 u)) 1))
(* -1 u)
(* -1 (* u (+ 1 (/ t1 u))))
(* -1 (* u (+ 1 (/ t1 u))))
(* -1 (* u (+ 1 (/ t1 u))))
u
(+ t1 u)
(+ t1 u)
(+ t1 u)
t1
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
t1
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
t1
(+ t1 u)
(+ t1 u)
(+ t1 u)
u
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
u
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
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(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(/ t1 v)
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (+ (* -1 (/ v (pow u 2))) (/ (* t1 v) (pow u 3))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* -1 (/ (* t1 v) (pow u 4))) (/ v (pow u 3))))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* t1 (+ (* -1 (/ v (pow u 4))) (/ (* t1 v) (pow u 5)))) (/ v (pow u 3))))))
(* -1 (/ v u))
(+ (* -1 (/ v u)) (/ v t1))
(+ (* -1 (/ v u)) (+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1)))
(+ (* -1 (/ v u)) (+ (* -1 (/ (* u v) (pow t1 2))) (+ (/ v t1) (/ (* (pow u 2) v) (pow t1 3)))))
(* -1 (/ v u))
(+ (* -1 (/ v u)) (/ v t1))
(+ (* -1 (/ v u)) (* -1 (/ (- (/ (* u v) t1) v) t1)))
(+ (* -1 (/ v u)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1)) v) t1)))
(* -1 (/ v u))
(/ (+ (* -1 v) (/ (* u v) t1)) u)
(/ (+ (* -1 v) (* u (+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1)))) u)
(/ (+ (* -1 v) (* u (+ (* u (+ (* -1 (/ v (pow t1 2))) (/ (* u v) (pow t1 3)))) (/ v t1)))) u)
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (/ (* (pow t1 2) v) u)) (pow u 2))
(/ (+ (* -1 (* t1 v)) (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (+ (/ (* (pow t1 2) v) u) (/ (* (pow t1 4) v) (pow u 3))))) (pow u 2))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (/ (* (pow t1 2) v) u)) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 4) v) u) (* (pow t1 3) v)) u)) (* (pow t1 2) v)) u))) (pow u 2))
(* -1 (/ (* t1 v) (* u (+ t1 u))))
(* -1 (/ (* t1 v) (* u (+ t1 u))))
(* -1 (/ (* t1 v) (* u (+ t1 u))))
(* -1 (/ (* t1 v) (* u (+ t1 u))))
(* -1 (/ (* t1 v) (* u (+ t1 u))))
(* -1 (/ (* t1 v) (* u (+ t1 u))))
(* -1 (/ (* t1 v) (* u (+ t1 u))))
(* -1 (/ (* t1 v) (* u (+ t1 u))))
(* -1 (/ (* t1 v) (* u (+ t1 u))))
(* -1 (/ (* t1 v) (* u (+ t1 u))))
(* -1 (/ (* t1 v) (* u (+ t1 u))))
(* -1 (/ (* t1 v) (* u (+ t1 u))))
(* -1 (/ t1 (pow u 2)))
(* t1 (- (/ t1 (pow u 3)) (/ 1 (pow u 2))))
(* t1 (- (* t1 (+ (* -1 (/ t1 (pow u 4))) (/ 1 (pow u 3)))) (/ 1 (pow u 2))))
(* t1 (- (* t1 (+ (* t1 (- (/ t1 (pow u 5)) (/ 1 (pow u 4)))) (/ 1 (pow u 3)))) (/ 1 (pow u 2))))
(/ -1 u)
(- (/ 1 t1) (/ 1 u))
(- (+ (* -1 (/ u (pow t1 2))) (/ 1 t1)) (/ 1 u))
(- (+ (/ 1 t1) (/ (pow u 2) (pow t1 3))) (+ (/ 1 u) (/ u (pow t1 2))))
(/ -1 u)
(- (/ 1 t1) (/ 1 u))
(- (* -1 (/ (- (/ u t1) 1) t1)) (/ 1 u))
(- (* -1 (/ (- (* -1 (/ (- (/ (pow u 2) t1) u) t1)) 1) t1)) (/ 1 u))
(/ -1 u)
(/ (- (/ u t1) 1) u)
(/ (- (* u (+ (* -1 (/ u (pow t1 2))) (/ 1 t1))) 1) u)
(/ (- (* u (+ (* u (- (/ u (pow t1 3)) (/ 1 (pow t1 2)))) (/ 1 t1))) 1) u)
(* -1 (/ t1 (pow u 2)))
(/ (+ (* -1 t1) (/ (pow t1 2) u)) (pow u 2))
(/ (+ (* -1 t1) (+ (* -1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u))) (pow u 2))
(/ (+ (* -1 t1) (+ (* -1 (/ (pow t1 3) (pow u 2))) (+ (/ (pow t1 2) u) (/ (pow t1 4) (pow u 3))))) (pow u 2))
(* -1 (/ t1 (pow u 2)))
(/ (+ (* -1 t1) (/ (pow t1 2) u)) (pow u 2))
(/ (+ (* -1 t1) (* -1 (/ (- (/ (pow t1 3) u) (pow t1 2)) u))) (pow u 2))
(/ (+ (* -1 t1) (* -1 (/ (- (* -1 (/ (- (/ (pow t1 4) u) (pow t1 3)) u)) (pow t1 2)) u))) (pow u 2))
(pow u 2)
(+ (* t1 u) (pow u 2))
(+ (* t1 u) (pow u 2))
(+ (* t1 u) (pow u 2))
(* t1 u)
(* t1 (+ u (/ (pow u 2) t1)))
(* t1 (+ u (/ (pow u 2) t1)))
(* t1 (+ u (/ (pow u 2) t1)))
(* t1 u)
(* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))
(* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))
(* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))
(* t1 u)
(* u (+ t1 u))
(* u (+ t1 u))
(* u (+ t1 u))
(pow u 2)
(* (pow u 2) (+ 1 (/ t1 u)))
(* (pow u 2) (+ 1 (/ t1 u)))
(* (pow u 2) (+ 1 (/ t1 u)))
(pow u 2)
(* (pow u 2) (+ 1 (/ t1 u)))
(* (pow u 2) (+ 1 (/ t1 u)))
(* (pow u 2) (+ 1 (/ t1 u)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(* -1 (/ (* t1 v) u))
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
Outputs
(* -1 (/ v (+ t1 u)))
(/.f64 v (-.f64 (neg.f64 u) t1))
(* -1 (/ v (+ t1 u)))
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(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u))) (pow u 2))
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(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 4) v) u) (* (pow t1 3) v)) u)) (* (pow t1 2) v)) u))) (pow u 2))
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(/.f64 (*.f64 v t1) (*.f64 u (-.f64 (neg.f64 u) t1)))
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(/.f64 (*.f64 v t1) (*.f64 u (-.f64 (neg.f64 u) t1)))
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(/.f64 (*.f64 v t1) (*.f64 u (-.f64 (neg.f64 u) t1)))
(* -1 (/ (* t1 v) (* u (+ t1 u))))
(/.f64 (*.f64 v t1) (*.f64 u (-.f64 (neg.f64 u) t1)))
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(- (+ (/ 1 t1) (/ (pow u 2) (pow t1 3))) (+ (/ 1 u) (/ u (pow t1 2))))
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(/ -1 u)
(/.f64 #s(literal -1 binary64) u)
(- (/ 1 t1) (/ 1 u))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 u t1)) u)
(- (* -1 (/ (- (/ u t1) 1) t1)) (/ 1 u))
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(- (* -1 (/ (- (* -1 (/ (- (/ (pow u 2) t1) u) t1)) 1) t1)) (/ 1 u))
(-.f64 (/.f64 #s(literal -1 binary64) u) (/.f64 (fma.f64 u (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 u t1)) t1) #s(literal -1 binary64)) t1))
(/ -1 u)
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(/ (- (* u (+ (* -1 (/ u (pow t1 2))) (/ 1 t1))) 1) u)
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(/ (- (* u (+ (* u (- (/ u (pow t1 3)) (/ 1 (pow t1 2)))) (/ 1 t1))) 1) u)
(fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 u (*.f64 t1 t1)) (+.f64 #s(literal -1 binary64) (/.f64 u t1)) (/.f64 #s(literal 1 binary64) t1)) (/.f64 #s(literal -1 binary64) u))
(* -1 (/ t1 (pow u 2)))
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(/ (+ (* -1 t1) (+ (* -1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u))) (pow u 2))
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(/ (+ (* -1 t1) (+ (* -1 (/ (pow t1 3) (pow u 2))) (+ (/ (pow t1 2) u) (/ (pow t1 4) (pow u 3))))) (pow u 2))
(/.f64 (-.f64 (/.f64 (fma.f64 t1 t1 (/.f64 (-.f64 (/.f64 (pow.f64 t1 #s(literal 4 binary64)) u) (*.f64 t1 (*.f64 t1 t1))) u)) u) t1) (*.f64 u u))
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(/ (+ (* -1 t1) (* -1 (/ (- (/ (pow t1 3) u) (pow t1 2)) u))) (pow u 2))
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(/.f64 (-.f64 (/.f64 (fma.f64 t1 t1 (/.f64 (-.f64 (/.f64 (pow.f64 t1 #s(literal 4 binary64)) u) (*.f64 t1 (*.f64 t1 t1))) u)) u) t1) (*.f64 u u))
(pow u 2)
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(+ (* t1 u) (pow u 2))
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(* t1 u)
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(* t1 u)
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(* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))
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(* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))
(*.f64 t1 (fma.f64 u (/.f64 u t1) u))
(* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))
(*.f64 t1 (fma.f64 u (/.f64 u t1) u))
(* t1 u)
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(*.f64 u (+.f64 t1 u))
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(*.f64 u (+.f64 t1 u))
(pow u 2)
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(pow u 2)
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(* -1 (/ (* t1 v) (pow u 2)))
(neg.f64 (*.f64 t1 (/.f64 v (*.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(neg.f64 (*.f64 t1 (/.f64 v (*.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(neg.f64 (*.f64 t1 (/.f64 v (*.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(neg.f64 (*.f64 t1 (/.f64 v (*.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
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(* -1 (/ (* t1 v) (pow u 2)))
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(* -1 (/ (* t1 v) (pow u 2)))
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(* -1 (/ (* t1 v) u))
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(/.f64 (*.f64 v (neg.f64 t1)) u)
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(/.f64 (*.f64 v (neg.f64 t1)) u)
(* -1 (/ (* t1 v) u))
(/.f64 (*.f64 v (neg.f64 t1)) u)
(* -1 (/ (* t1 v) u))
(/.f64 (*.f64 v (neg.f64 t1)) u)
(* -1 (/ (* t1 v) u))
(/.f64 (*.f64 v (neg.f64 t1)) u)
(* -1 (/ (* t1 v) u))
(/.f64 (*.f64 v (neg.f64 t1)) u)
(* -1 (/ (* t1 v) u))
(/.f64 (*.f64 v (neg.f64 t1)) u)
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(/.f64 (*.f64 v (neg.f64 t1)) u)
(/ t1 u)
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(/ t1 u)
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(/ t1 u)
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(/ t1 u)
(/.f64 t1 u)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)

eval189.0ms (1.8%)

Memory
38.0MiB live, 453.8MiB allocated
Compiler

Compiled 23 306 to 3 117 computations (86.6% saved)

prune258.0ms (2.4%)

Memory
-24.9MiB live, 546.1MiB allocated
Pruning

24 alts after pruning (11 fresh and 13 done)

PrunedKeptTotal
New1 67081 678
Fresh437
Picked055
Done088
Total1 674241 698
Accuracy
100.0%
Counts
1 698 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(/.f64 (*.f64 (/.f64 (neg.f64 v) u) t1) u)
98.3%
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u)))
47.8%
(/.f64 (*.f64 (/.f64 t1 u) (neg.f64 v)) u)
70.2%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
42.0%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
58.4%
(/.f64 (neg.f64 v) t1)
43.4%
(/.f64 (neg.f64 t1) (/.f64 (*.f64 u u) v))
53.3%
(/.f64 (neg.f64 t1) (*.f64 (/.f64 (+.f64 t1 u) v) u))
65.8%
(/.f64 v (neg.f64 (+.f64 t1 u)))
17.1%
(/.f64 v (neg.f64 u))
65.7%
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
58.3%
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
56.9%
(*.f64 (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) v)
49.2%
(*.f64 (/.f64 (neg.f64 v) u) (/.f64 t1 u))
75.1%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
42.7%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
50.0%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) t1)) v)
42.3%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
43.1%
(*.f64 (/.f64 v (*.f64 u (neg.f64 u))) t1)
65.6%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
45.8%
(*.f64 (/.f64 #s(literal -1 binary64) u) (/.f64 (*.f64 v t1) u))
17.1%
(*.f64 (/.f64 #s(literal -1 binary64) u) v)
58.2%
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
43.1%
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 u u))))
Compiler

Compiled 620 to 268 computations (56.8% saved)

regimes49.0ms (0.5%)

Memory
14.1MiB live, 130.7MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
(/.f64 v (neg.f64 u))
(/.f64 (neg.f64 v) t1)
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 #s(literal -1 binary64) u) v)
(/.f64 v (neg.f64 (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(*.f64 (/.f64 v (*.f64 u (neg.f64 u))) t1)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 t1 t1))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 u u))))
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) t1)) v)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(*.f64 (/.f64 (neg.f64 v) u) (/.f64 t1 u))
(/.f64 (neg.f64 t1) (/.f64 (*.f64 u u) v))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (*.f64 (/.f64 t1 u) (neg.f64 v)) u)
(/.f64 (*.f64 (/.f64 v u) (neg.f64 t1)) u)
(/.f64 (*.f64 (/.f64 (neg.f64 v) u) t1) u)
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (/.f64 #s(literal -1 binary64) u) (/.f64 (*.f64 v t1) u))
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 u))
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 t1 v)))
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 u v)))
(/.f64 (neg.f64 t1) (*.f64 (/.f64 (+.f64 t1 u) v) u))
(*.f64 (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) v)
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
(*.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (-.f64 (neg.f64 t1) u)) v)
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (*.f64 t1 (/.f64 v (+.f64 t1 u))))
(*.f64 (/.f64 (*.f64 v t1) (+.f64 t1 u)) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
(/.f64 (*.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (neg.f64 v)) (neg.f64 (+.f64 t1 u)))
Outputs
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
Calls

4 calls:

13.0ms
u
12.0ms
t1
11.0ms
v
11.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Results
AccuracySegmentsBranch
98.5%1u
98.5%1v
98.5%1t1
98.5%1(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes40.0ms (0.4%)

Memory
-8.6MiB live, 105.8MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 v (neg.f64 u))
(/.f64 (neg.f64 v) t1)
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 #s(literal -1 binary64) u) v)
(/.f64 v (neg.f64 (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(*.f64 (/.f64 v (*.f64 u (neg.f64 u))) t1)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 t1 t1))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 u u))))
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) t1)) v)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(*.f64 (/.f64 (neg.f64 v) u) (/.f64 t1 u))
(/.f64 (neg.f64 t1) (/.f64 (*.f64 u u) v))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (*.f64 (/.f64 t1 u) (neg.f64 v)) u)
(/.f64 (*.f64 (/.f64 v u) (neg.f64 t1)) u)
(/.f64 (*.f64 (/.f64 (neg.f64 v) u) t1) u)
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (/.f64 #s(literal -1 binary64) u) (/.f64 (*.f64 v t1) u))
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 u))
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 t1 v)))
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 u v)))
(/.f64 (neg.f64 t1) (*.f64 (/.f64 (+.f64 t1 u) v) u))
(*.f64 (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) v)
Outputs
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(/.f64 (neg.f64 v) t1)
Calls

4 calls:

10.0ms
t1
10.0ms
u
9.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
9.0ms
v
Results
AccuracySegmentsBranch
86.8%5u
78.8%3v
88.2%3t1
86.8%2(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes33.0ms (0.3%)

Memory
-17.1MiB live, 50.8MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
(/.f64 v (neg.f64 u))
(/.f64 (neg.f64 v) t1)
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 #s(literal -1 binary64) u) v)
(/.f64 v (neg.f64 (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(*.f64 (/.f64 v (*.f64 u (neg.f64 u))) t1)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 t1 t1))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 u u))))
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) t1)) v)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
Outputs
(/.f64 v (neg.f64 (+.f64 t1 u)))
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
Calls

3 calls:

21.0ms
t1
6.0ms
u
5.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Results
AccuracySegmentsBranch
80.4%3u
81.7%3t1
70.9%3(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes13.0ms (0.1%)

Memory
-2.5MiB live, 35.1MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(/.f64 v (neg.f64 u))
(/.f64 (neg.f64 v) t1)
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 #s(literal -1 binary64) u) v)
(/.f64 v (neg.f64 (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(*.f64 (/.f64 v (*.f64 u (neg.f64 u))) t1)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 t1 t1))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 u u))))
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) t1)) v)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
Outputs
(/.f64 v (neg.f64 (+.f64 t1 u)))
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
Calls

2 calls:

7.0ms
t1
5.0ms
u
Results
AccuracySegmentsBranch
77.1%3u
79.5%3t1
Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Memory
-20.3MiB live, 17.3MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
(/.f64 v (neg.f64 u))
(/.f64 (neg.f64 v) t1)
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 #s(literal -1 binary64) u) v)
(/.f64 v (neg.f64 (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(*.f64 (/.f64 v (*.f64 u (neg.f64 u))) t1)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 t1 t1))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
Outputs
(/.f64 v (neg.f64 (+.f64 t1 u)))
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
(/.f64 v (neg.f64 (+.f64 t1 u)))
Calls

1 calls:

6.0ms
t1
Results
AccuracySegmentsBranch
79.5%3t1
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 v (neg.f64 u))
(/.f64 (neg.f64 v) t1)
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 #s(literal -1 binary64) u) v)
(/.f64 v (neg.f64 (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(*.f64 (/.f64 v (*.f64 u (neg.f64 u))) t1)
Outputs
(/.f64 v (neg.f64 (+.f64 t1 u)))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(/.f64 v (neg.f64 (+.f64 t1 u)))
Calls

1 calls:

4.0ms
t1
Results
AccuracySegmentsBranch
79.5%3t1
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory
12.3MiB live, 50.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 v (neg.f64 u))
(/.f64 (neg.f64 v) t1)
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 #s(literal -1 binary64) u) v)
(/.f64 v (neg.f64 (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
Outputs
(/.f64 v (neg.f64 (+.f64 t1 u)))
Calls

4 calls:

4.0ms
v
3.0ms
t1
3.0ms
u
3.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Results
AccuracySegmentsBranch
65.8%1(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
65.8%1u
65.8%1v
65.8%1t1
Compiler

Compiled 27 to 17 computations (37% saved)

regimes13.0ms (0.1%)

Memory
-6.8MiB live, 33.9MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(/.f64 v (neg.f64 u))
(/.f64 (neg.f64 v) t1)
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 #s(literal -1 binary64) u) v)
Outputs
(/.f64 v (neg.f64 u))
(/.f64 (neg.f64 v) t1)
(/.f64 v (neg.f64 u))
Calls

4 calls:

6.0ms
t1
2.0ms
u
2.0ms
v
2.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Results
AccuracySegmentsBranch
58.4%1v
64.0%3u
58.4%1t1
58.4%1(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes59.0ms (0.5%)

Memory
-20.8MiB live, 17.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 v (neg.f64 u))
Outputs
(/.f64 v (neg.f64 u))
Calls

4 calls:

1.0ms
u
1.0ms
t1
1.0ms
v
1.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Results
AccuracySegmentsBranch
17.1%1t1
17.1%1v
17.1%1(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
17.1%1u
Compiler

Compiled 27 to 17 computations (37% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3571412343450728e+228
3.743115306267622e+280
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch29.0ms (0.3%)

Memory
4.1MiB live, 42.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
6.834901691047606e-48
7.398754043299553e-47
9.0ms
-3.96679256899303e-85
-2.1116457170384466e-87
Samples
11.0ms208×0valid
Compiler

Compiled 310 to 215 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (33.5% of total)
ival-div: 1.0ms (16.7% of total)
ival-add: 1.0ms (16.7% of total)
ival-neg: 1.0ms (16.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory
27.6MiB live, 64.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
6.834901691047606e-48
7.398754043299553e-47
14.0ms
-5.1690054803378446e-138
-2.1059151498569206e-154
Samples
16.0ms256×0valid
Compiler

Compiled 376 to 260 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (53% of total)
ival-div: 2.0ms (21.2% of total)
ival-add: 1.0ms (10.6% of total)
ival-neg: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
-15.7MiB live, 62.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
6.834901691047606e-48
7.398754043299553e-47
18.0ms
-5.1690054803378446e-138
-2.1059151498569206e-154
Samples
18.0ms256×0valid
Compiler

Compiled 370 to 254 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (40.4% of total)
ival-div: 2.0ms (26.9% of total)
ival-add: 1.0ms (13.5% of total)
ival-neg: 1.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
17.3MiB live, 54.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
6.834901691047606e-48
7.398754043299553e-47
9.0ms
-3.96679256899303e-85
-2.1116457170384466e-87
Samples
11.0ms208×0valid
Compiler

Compiled 304 to 209 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (33.1% of total)
ival-div: 1.0ms (16.5% of total)
ival-add: 1.0ms (16.5% of total)
ival-neg: 1.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
0.6MiB live, 79.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
2.2746718238577276e+143
1.048828533601788e+145
12.0ms
-1.131343719671315e+139
-2.9194805370709194e+136
Samples
20.0ms240×0valid
Compiler

Compiled 258 to 194 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 7.0ms (49.4% of total)
ival-mult: 4.0ms (28.2% of total)
ival-add: 1.0ms (7.1% of total)
ival-neg: 1.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify20.0ms (0.2%)

Memory
18.9MiB live, 51.7MiB allocated
Algorithm
egg-herbie
Rules
68×*-commutative_binary64
52×neg-sub0_binary64
52×neg-mul-1_binary64
44×+-commutative_binary64
42×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063174
1104174
2156174
3217174
4252174
5265174
6268174
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
(if (<=.f64 (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 3999999999999999698036486089900987460714688801145561653494560763710683107498827604003469898337185271168408428861589190856069031923231191572294575411968033845076667896758702224567651107248692789948556922013653689480786996596047872 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) (/.f64 (neg.f64 v) t1))
(if (<=.f64 t1 #s(literal -3149641043687537/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (/.f64 v (neg.f64 (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 5759265950624221/822752278660603021077484591278675252491367932816789931674304512 binary64)) (*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u)) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))))
(if (<=.f64 t1 #s(literal -6703903964971299/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096 binary64)) (/.f64 v (neg.f64 (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 822752278660603/51422017416287688817342786954917203280710495801049370729644032 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))))
(if (<=.f64 t1 #s(literal -3251168171837857/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (/.f64 v (neg.f64 (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 5759265950624221/411376139330301510538742295639337626245683966408394965837152256 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v) (/.f64 v (neg.f64 (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -918645304408865/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) (/.f64 v (neg.f64 (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 5759265950624221/205688069665150755269371147819668813122841983204197482918576128 binary64)) (*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u)))) (/.f64 v (neg.f64 (+.f64 t1 u)))))
(/.f64 v (neg.f64 (+.f64 t1 u)))
(if (<=.f64 u #s(literal -1359999999999999945506129666781409624635040885333415931636043815069713036685032382778973103807007407471789760549385785248280143509023883264 binary64)) (/.f64 v (neg.f64 u)) (if (<=.f64 u #s(literal 5199999999999999776892536499883890411223248206823684445307383519108162737308559400526860191020430249475798276478521341420224378307981945560104960 binary64)) (/.f64 (neg.f64 v) t1) (/.f64 v (neg.f64 u))))
(/.f64 v (neg.f64 u))
Outputs
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
(*.f64 (/.f64 t1 (+.f64 t1 u)) (neg.f64 (/.f64 v (+.f64 t1 u))))
(if (<=.f64 (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 3999999999999999698036486089900987460714688801145561653494560763710683107498827604003469898337185271168408428861589190856069031923231191572294575411968033845076667896758702224567651107248692789948556922013653689480786996596047872 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) (/.f64 (neg.f64 v) t1))
(if (<=.f64 (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 3999999999999999698036486089900987460714688801145561653494560763710683107498827604003469898337185271168408428861589190856069031923231191572294575411968033845076667896758702224567651107248692789948556922013653689480786996596047872 binary64)) (*.f64 v (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (neg.f64 (/.f64 v t1)))
(if (<=.f64 t1 #s(literal -3149641043687537/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (/.f64 v (neg.f64 (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 5759265950624221/822752278660603021077484591278675252491367932816789931674304512 binary64)) (*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u)) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))))
(if (<=.f64 t1 #s(literal -3149641043687537/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 5759265950624221/822752278660603021077484591278675252491367932816789931674304512 binary64)) (*.f64 (/.f64 v u) (/.f64 t1 (neg.f64 u))) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))))
(if (<=.f64 t1 #s(literal -6703903964971299/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096 binary64)) (/.f64 v (neg.f64 (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 822752278660603/51422017416287688817342786954917203280710495801049370729644032 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))))
(if (<=.f64 t1 #s(literal -6703903964971299/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 822752278660603/51422017416287688817342786954917203280710495801049370729644032 binary64)) (*.f64 (neg.f64 v) (/.f64 t1 (*.f64 u u))) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))))
(if (<=.f64 t1 #s(literal -3251168171837857/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (/.f64 v (neg.f64 (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 5759265950624221/411376139330301510538742295639337626245683966408394965837152256 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v) (/.f64 v (neg.f64 (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -3251168171837857/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 5759265950624221/411376139330301510538742295639337626245683966408394965837152256 binary64)) (*.f64 (neg.f64 v) (/.f64 t1 (*.f64 u u))) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -918645304408865/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) (/.f64 v (neg.f64 (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 5759265950624221/205688069665150755269371147819668813122841983204197482918576128 binary64)) (*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u)))) (/.f64 v (neg.f64 (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -918645304408865/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 5759265950624221/205688069665150755269371147819668813122841983204197482918576128 binary64)) (*.f64 (neg.f64 t1) (/.f64 v (*.f64 u u))) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(/.f64 v (neg.f64 (+.f64 t1 u)))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(if (<=.f64 u #s(literal -1359999999999999945506129666781409624635040885333415931636043815069713036685032382778973103807007407471789760549385785248280143509023883264 binary64)) (/.f64 v (neg.f64 u)) (if (<=.f64 u #s(literal 5199999999999999776892536499883890411223248206823684445307383519108162737308559400526860191020430249475798276478521341420224378307981945560104960 binary64)) (/.f64 (neg.f64 v) t1) (/.f64 v (neg.f64 u))))
(if (<=.f64 u #s(literal -1359999999999999945506129666781409624635040885333415931636043815069713036685032382778973103807007407471789760549385785248280143509023883264 binary64)) (neg.f64 (/.f64 v u)) (if (<=.f64 u #s(literal 5199999999999999776892536499883890411223248206823684445307383519108162737308559400526860191020430249475798276478521341420224378307981945560104960 binary64)) (neg.f64 (/.f64 v t1)) (neg.f64 (/.f64 v u))))
(/.f64 v (neg.f64 u))
(neg.f64 (/.f64 v u))

soundness1.2s (10.9%)

Memory
-3.3MiB live, 1 031.6MiB allocated
Rules
17 384×accelerator-lowering-fma.f32
17 384×accelerator-lowering-fma.f64
16 068×accelerator-lowering-fma.f32
16 068×accelerator-lowering-fma.f64
12 452×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02080
111579
277379
3713379
0817579
02251167
16901110
223001022
372921018
08297976
0821
15221
239121
3509121
0838821
03312897
110032814
228472696
375962692
080452658
023101
1133100
294298
0872095
05974754
118404503
255934445
081494276
04043792
112733653
239213500
083053395
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 584 to 298 computations (49% saved)

preprocess100.0ms (0.9%)

Memory
-23.8MiB live, 216.2MiB allocated
Remove

(negabs v)

Compiler

Compiled 530 to 206 computations (61.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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