Rosa's DopplerBench

Time bar (total: 10.6s)

analyze108.0ms (1%)

Memory
19.0MiB live, 134.4MiB 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)

sample802.0ms (7.5%)

Memory
-15.5MiB live, 1 318.0MiB allocated
Samples
580.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 335.0ms
ival-mult: 171.0ms (51.1% of total)
ival-div: 57.0ms (17% of total)
ival-add: 50.0ms (14.9% of total)
ival-neg: 47.0ms (14% of total)
ival-true: 6.0ms (1.8% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess240.0ms (2.3%)

Memory
-4.0MiB live, 192.2MiB 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)

explain83.0ms (0.8%)

Memory
-13.7MiB live, 156.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
740-0-(/.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))overflow104
/.f64(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))n/o220
(*.f64 (+.f64 t1 u) (+.f64 t1 u))overflow104
/.f64(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))u/n70
(*.f64 (neg.f64 t1) v)underflow29
/.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/u60
(*.f64 (+.f64 t1 u) (+.f64 t1 u))underflow16
/.f64(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))u/u50
(*.f64 (neg.f64 t1) v)underflow29
(*.f64 (+.f64 t1 u) (+.f64 t1 u))underflow16
Confusion
Predicted +Predicted -
+740
-0182
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7400
-00182
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0182
174
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
Compiler

Compiled 96 to 36 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (33.5% of total)
ival-div: 4.0ms (22.3% of total)
ival-add: 4.0ms (22.3% of total)
ival-neg: 2.0ms (11.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify178.0ms (1.7%)

Memory
-12.5MiB live, 144.0MiB 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
10.8MiB live, 48.3MiB 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))
accuracy73.4%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Samples
17.0ms256×0valid
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 (39.3% of total)
ival-div: 2.0ms (26.2% of total)
ival-add: 1.0ms (13.1% of total)
ival-neg: 1.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-13.4MiB live, 23.5MiB 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
1.0ms
t1
@inf
(* (+ t1 u) (+ t1 u))
1.0ms
u
@0
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
1.0ms
v
@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)))

rewrite290.0ms (2.7%)

Memory
48.9MiB live, 515.6MiB 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)))

simplify464.0ms (4.4%)

Memory
-38.7MiB live, 693.5MiB 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
11.2MiB live, 125.8MiB allocated
Compiler

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

prune80.0ms (0.8%)

Memory
13.8MiB live, 172.2MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New55811569
Fresh000
Picked101
Done000
Total55911570
Accuracy
100.0%
Counts
570 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u)))
44.6%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
37.9%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 t1 t1))
94.4%
(/.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 (neg.f64 (/.f64 (+.f64 t1 u) t1)) (+.f64 t1 u)))
97.9%
(/.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (/.f64 (+.f64 t1 u) v))
53.4%
(/.f64 (neg.f64 v) t1)
98.0%
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
76.6%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
73.1%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
45.9%
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
51.2%
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))
Compiler

Compiled 294 to 172 computations (41.5% saved)

simplify257.0ms (2.4%)

Memory
-8.3MiB live, 197.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 v t1)
cost-diff0
(fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v)
cost-diff128
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))
cost-diff384
(/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)
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
(/.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
4 778×accelerator-lowering-fma.f32
4 778×accelerator-lowering-fma.f64
3 306×*-lowering-*.f32
3 306×*-lowering-*.f64
1 604×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024136
176136
2216135
3532135
41294135
53870135
66562135
08065132
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))
(/ (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 (/ (+ (* (/ v t1) (* u -2)) v) t1))
(/ (+ (* (/ v t1) (* u -2)) v) t1)
(+ (* (/ v t1) (* u -2)) v)
(/ v t1)
v
t1
(* u -2)
u
-2
Outputs
(/ (* (/ v (+ t1 u)) t1) (neg (+ t1 u)))
(/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* (/ v (+ t1 u)) t1)
(*.f64 v (/.f64 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)
(/ (neg v) t1)
(/.f64 (neg.f64 v) t1)
(neg v)
(neg.f64 v)
v
t1
(/ (* (neg t1) v) (* t1 t1))
(/.f64 (neg.f64 v) 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)
(/.f64 (*.f64 v (neg.f64 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 (/ (+ (* (/ v t1) (* u -2)) v) t1))
(*.f64 (/.f64 v (*.f64 t1 t1)) (-.f64 (+.f64 u u) t1))
(/ (+ (* (/ v t1) (* u -2)) v) t1)
(*.f64 (/.f64 v (*.f64 t1 t1)) (-.f64 t1 (+.f64 u u)))
(+ (* (/ v t1) (* u -2)) v)
(fma.f64 u (/.f64 (*.f64 v #s(literal -2 binary64)) t1) v)
(/ v t1)
(/.f64 v t1)
v
t1
(* u -2)
(*.f64 u #s(literal -2 binary64))
u
-2
#s(literal -2 binary64)

localize86.0ms (0.8%)

Memory
-15.3MiB live, 175.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 u #s(literal -2 binary64))
accuracy100.0%
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))
accuracy98.1%
(/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)
accuracy94.3%
(fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v)
accuracy100.0%
(neg.f64 t1)
accuracy100.0%
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
accuracy94.5%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
accuracy74.1%
(/.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)
accuracy62.2%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 t1 t1))
accuracy100.0%
(/.f64 (neg.f64 v) t1)
accuracy100.0%
(neg.f64 v)
accuracy100.0%
(+.f64 t1 u)
accuracy100.0%
(neg.f64 (+.f64 t1 u))
accuracy99.4%
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u)))
accuracy86.8%
(*.f64 (/.f64 v (+.f64 t1 u)) t1)
Samples
51.0ms256×0valid
Compiler

Compiled 139 to 26 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 18.0ms (49.6% of total)
ival-mult: 11.0ms (30.3% of total)
ival-neg: 4.0ms (11% of total)
ival-add: 3.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory
10.9MiB live, 90.5MiB allocated
Counts
19 → 492
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 (/ (neg v) t1)>
#<alt (neg v)>
#<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 (/ (+ (* (/ v t1) (* u -2)) v) t1)>
#<alt (neg (/ (+ (* (/ v t1) (* u -2)) v) t1))>
#<alt (+ (* (/ v t1) (* u -2)) v)>
#<alt (/ v t1)>
#<alt (neg (+ t1 u))>
#<alt (* u -2)>
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))>
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#<alt (* -1 (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1))>
#<alt (/ v t1)>
#<alt (+ (* -2 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (+ (* -2 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (+ (* -2 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (* -2 (/ (* u v) (pow t1 2)))>
#<alt (* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u))))>
#<alt (* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u))))>
#<alt (* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u))))>
#<alt (* -2 (/ (* u v) (pow t1 2)))>
#<alt (* -1 (* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2))))))>
#<alt (* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1))))>
#<alt (* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1))))>
#<alt (* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1))))>
#<alt (* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1))))>
#<alt (* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1))))>
#<alt (* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1))))>
#<alt (* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1))))>
#<alt (* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1))))>
#<alt (* -1 (* v (- (/ 1 t1) (* 2 (/ u (pow t1 2))))))>
#<alt (* -1 (* v (- (/ 1 t1) (* 2 (/ u (pow t1 2))))))>
#<alt (* -1 (* v (- (/ 1 t1) (* 2 (/ u (pow t1 2))))))>
#<alt (* -1 (* v (- (/ 1 t1) (* 2 (/ u (pow t1 2))))))>
#<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 (/ (- (* 2 (/ (* u v) t1)) v) t1)>
#<alt (/ (- (* 2 (/ (* u v) t1)) v) t1)>
#<alt (/ (- (* 2 (/ (* u v) t1)) v) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1))>
#<alt (* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1))>
#<alt (* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1))>
#<alt (* -1 (/ v t1))>
#<alt (- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))>
#<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 (- (/ v (* t1 u)) (* 2 (/ v (pow t1 2))))))>
#<alt (* -1 (* u (- (/ v (* t1 u)) (* 2 (/ v (pow t1 2))))))>
#<alt (* -1 (* u (- (/ v (* t1 u)) (* 2 (/ v (pow t1 2))))))>
#<alt (* v (+ 1 (* -2 (/ u t1))))>
#<alt (* v (+ 1 (* -2 (/ u t1))))>
#<alt (* v (+ 1 (* -2 (/ u t1))))>
#<alt (* v (+ 1 (* -2 (/ u t1))))>
#<alt (* v (+ 1 (* -2 (/ u t1))))>
#<alt (* v (+ 1 (* -2 (/ u t1))))>
#<alt (* v (+ 1 (* -2 (/ u t1))))>
#<alt (* v (+ 1 (* -2 (/ u t1))))>
#<alt (* -1 (* v (- (* 2 (/ u t1)) 1)))>
#<alt (* -1 (* v (- (* 2 (/ u t1)) 1)))>
#<alt (* -1 (* v (- (* 2 (/ u t1)) 1)))>
#<alt (* -1 (* v (- (* 2 (/ u t1)) 1)))>
#<alt (* -2 (/ (* u v) t1))>
#<alt (/ (+ (* -2 (* u v)) (* t1 v)) t1)>
#<alt (/ (+ (* -2 (* u v)) (* t1 v)) t1)>
#<alt (/ (+ (* -2 (* u v)) (* t1 v)) t1)>
#<alt v>
#<alt (+ v (* -2 (/ (* u v) t1)))>
#<alt (+ v (* -2 (/ (* u v) t1)))>
#<alt (+ v (* -2 (/ (* u v) t1)))>
#<alt v>
#<alt (+ v (* -2 (/ (* u v) t1)))>
#<alt (+ v (* -2 (/ (* u v) t1)))>
#<alt (+ v (* -2 (/ (* u v) t1)))>
#<alt v>
#<alt (+ v (* -2 (/ (* u v) t1)))>
#<alt (+ v (* -2 (/ (* u v) t1)))>
#<alt (+ v (* -2 (/ (* u v) t1)))>
#<alt (* -2 (/ (* u v) t1))>
#<alt (* u (+ (* -2 (/ v t1)) (/ v u)))>
#<alt (* u (+ (* -2 (/ v t1)) (/ v u)))>
#<alt (* u (+ (* -2 (/ v t1)) (/ v u)))>
#<alt (* -2 (/ (* u v) t1))>
#<alt (* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1)))))>
#<alt (* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1)))))>
#<alt (* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1)))))>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v 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))))>
#<alt (* -2 u)>
#<alt (* -2 u)>
#<alt (* -2 u)>
#<alt (* -2 u)>
#<alt (* -2 u)>
#<alt (* -2 u)>
#<alt (* -2 u)>
#<alt (* -2 u)>
#<alt (* -2 u)>
#<alt (* -2 u)>
#<alt (* -2 u)>
#<alt (* -2 u)>
Calls

123 calls:

TimeVariablePointExpression
3.0ms
t1
@0
(/ (neg t1) (* (+ t1 u) (+ t1 u)))
2.0ms
t1
@inf
(/ (neg t1) (* (+ t1 u) (+ t1 u)))
1.0ms
v
@0
(/ (+ (* (/ v t1) (* u -2)) v) t1)
1.0ms
t1
@-inf
(/ (* (/ v (+ t1 u)) t1) (neg (+ t1 u)))
1.0ms
v
@0
(neg (/ (+ (* (/ v t1) (* u -2)) v) t1))

rewrite390.0ms (3.7%)

Memory
-0.9MiB live, 592.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 476×accelerator-lowering-fma.f32
5 476×accelerator-lowering-fma.f64
5 104×*-lowering-*.f32
5 104×*-lowering-*.f64
3 454×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024113
1144109
21116108
08443106
Stop Event
iter limit
node limit
Counts
19 → 1 284
Calls
Call 1
Inputs
(/ (* (/ v (+ t1 u)) t1) (neg (+ t1 u)))
(* (/ v (+ t1 u)) t1)
(/ v (+ t1 u))
(+ t1 u)
(/ (neg v) t1)
(neg v)
(/ (* (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))
(/ (+ (* (/ v t1) (* u -2)) v) t1)
(neg (/ (+ (* (/ v t1) (* u -2)) v) t1))
(+ (* (/ v t1) (* u -2)) v)
(/ v t1)
(neg (+ t1 u))
(* u -2)
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 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v (neg.f64 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 #s(literal -1 binary64) (/.f64 u t1)))) (/.f64 (neg.f64 v) (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))) (/.f64 (neg.f64 t1) (neg.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))))
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(neg.f64 (/.f64 (neg.f64 v) (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))))
(neg.f64 (/.f64 (neg.f64 t1) (neg.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (*.f64 t1 (/.f64 v (+.f64 t1 u)))))
(neg.f64 (*.f64 (/.f64 t1 (neg.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (neg.f64 v)))
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(/.f64 t1 (neg.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))))
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (-.f64 (neg.f64 t1) u))
(/.f64 (neg.f64 v) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1))
(/.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 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (+.f64 t1 u))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v (neg.f64 t1))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 t1 u) v) (/.f64 t1 (-.f64 (neg.f64 t1) u))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 (+.f64 t1 u) (*.f64 v t1)))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) (*.f64 v t1))))
(/.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (/.f64 (+.f64 t1 u) v))
(/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (neg.f64 t1) u) 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)))))
(pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v (neg.f64 t1))) #s(literal -1 binary64))
(*.f64 v (/.f64 t1 (neg.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 t1 (neg.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 t1 (/.f64 (neg.f64 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 t1 (-.f64 (neg.f64 t1) u)))
(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal -1 binary64)))
(*.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
(*.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) #s(literal -1 binary64)))
(*.f64 (neg.f64 v) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 (neg.f64 t1) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 (*.f64 v (neg.f64 t1)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 (/.f64 t1 (neg.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) v)
(*.f64 (*.f64 v t1) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (/.f64 #s(literal 1 binary64) (+.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 v (/.f64 (+.f64 t1 u) t1)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 (neg.f64 v) (/.f64 (+.f64 t1 u) t1)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 v (/.f64 #s(literal -1 binary64) t1)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (neg.f64 v))
(*.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal -1 binary64))
(*.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (/.f64 v (+.f64 t1 u)))
(*.f64 (/.f64 v (-.f64 (neg.f64 t1) u)) (/.f64 t1 (+.f64 t1 u)))
(*.f64 (/.f64 v (-.f64 (neg.f64 t1) u)) (/.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) #s(literal -1 binary64)))
(*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (-.f64 (neg.f64 t1) u)))
(*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (neg.f64 t1))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) t1)))
(*.f64 (/.f64 v (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (/.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))))
(*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(*.f64 (/.f64 (*.f64 v t1) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))))
(*.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(*.f64 (/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (neg.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1)))))
(*.f64 (/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (+.f64 (neg.f64 t1) u))
(*.f64 (/.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))))
(*.f64 (/.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(*.f64 (/.f64 (neg.f64 t1) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))))
(*.f64 (/.f64 t1 (fma.f64 t1 (neg.f64 t1) (*.f64 u u))) (/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(*.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 t1) u) v) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 t1 u) t1) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 t1 u) (*.f64 v (neg.f64 t1))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 t1 u)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) t1) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #s(literal -1 binary64)))
(*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 (/.f64 v (-.f64 (neg.f64 t1) u)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(*.f64 (/.f64 (/.f64 v (-.f64 (neg.f64 t1) u)) #s(literal -1 binary64)) (/.f64 t1 (-.f64 (neg.f64 t1) u)))
(*.f64 (/.f64 t1 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (/.f64 (/.f64 v (-.f64 (neg.f64 t1) u)) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))))
(*.f64 (/.f64 (*.f64 v t1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 (/.f64 (/.f64 (*.f64 v t1) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (+.f64 t1 u)) (/.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 v t1) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) #s(literal -1 binary64)) (/.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) (+.f64 t1 u)))
(*.f64 (/.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (+.f64 t1 u)) (/.f64 (-.f64 t1 u) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal -1 binary64)) (/.f64 (-.f64 t1 u) (+.f64 t1 u)))
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(*.f64 #s(literal -2 binary64) u)
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(*.f64 #s(literal 1 binary64) (*.f64 u #s(literal -2 binary64)))

simplify471.0ms (4.4%)

Memory
11.1MiB live, 759.3MiB allocated
Algorithm
egg-herbie
Rules
10 938×accelerator-lowering-fma.f32
10 938×accelerator-lowering-fma.f64
5 732×*-lowering-*.f32
5 732×*-lowering-*.f64
2 910×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06305002
120014802
261914729
082804502
Stop Event
iter limit
node limit
Counts
492 → 492
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)))
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(/ (- (* -1 (* t1 v)) (* -2 (* u v))) (pow t1 2))
(* -1 (/ v t1))
(/ (- (* 2 (/ (* u v) t1)) v) t1)
(/ (- (* 2 (/ (* u v) t1)) v) t1)
(/ (- (* 2 (/ (* u v) t1)) v) t1)
(* -1 (/ v t1))
(* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1))
(* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1))
(* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1))
(* -1 (/ v t1))
(- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))
(- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))
(- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))
(* 2 (/ (* u v) (pow t1 2)))
(* u (- (* -1 (/ v (* t1 u))) (* -2 (/ v (pow t1 2)))))
(* u (- (* -1 (/ v (* t1 u))) (* -2 (/ v (pow t1 2)))))
(* u (- (* -1 (/ v (* t1 u))) (* -2 (/ v (pow t1 2)))))
(* 2 (/ (* u v) (pow t1 2)))
(* -1 (* u (- (/ v (* t1 u)) (* 2 (/ v (pow t1 2))))))
(* -1 (* u (- (/ v (* t1 u)) (* 2 (/ v (pow t1 2))))))
(* -1 (* u (- (/ v (* t1 u)) (* 2 (/ v (pow t1 2))))))
(* v (+ 1 (* -2 (/ u t1))))
(* v (+ 1 (* -2 (/ u t1))))
(* v (+ 1 (* -2 (/ u t1))))
(* v (+ 1 (* -2 (/ u t1))))
(* v (+ 1 (* -2 (/ u t1))))
(* v (+ 1 (* -2 (/ u t1))))
(* v (+ 1 (* -2 (/ u t1))))
(* v (+ 1 (* -2 (/ u t1))))
(* -1 (* v (- (* 2 (/ u t1)) 1)))
(* -1 (* v (- (* 2 (/ u t1)) 1)))
(* -1 (* v (- (* 2 (/ u t1)) 1)))
(* -1 (* v (- (* 2 (/ u t1)) 1)))
(* -2 (/ (* u v) t1))
(/ (+ (* -2 (* u v)) (* t1 v)) t1)
(/ (+ (* -2 (* u v)) (* t1 v)) t1)
(/ (+ (* -2 (* u v)) (* t1 v)) t1)
v
(+ v (* -2 (/ (* u v) t1)))
(+ v (* -2 (/ (* u v) t1)))
(+ v (* -2 (/ (* u v) t1)))
v
(+ v (* -2 (/ (* u v) t1)))
(+ v (* -2 (/ (* u v) t1)))
(+ v (* -2 (/ (* u v) t1)))
v
(+ v (* -2 (/ (* u v) t1)))
(+ v (* -2 (/ (* u v) t1)))
(+ v (* -2 (/ (* u v) t1)))
(* -2 (/ (* u v) t1))
(* u (+ (* -2 (/ v t1)) (/ v u)))
(* u (+ (* -2 (/ v t1)) (/ v u)))
(* u (+ (* -2 (/ v t1)) (/ v u)))
(* -2 (/ (* u v) t1))
(* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1)))))
(* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1)))))
(* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ 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 t1)
(/ v 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))))
(* -2 u)
(* -2 u)
(* -2 u)
(* -2 u)
(* -2 u)
(* -2 u)
(* -2 u)
(* -2 u)
(* -2 u)
(* -2 u)
(* -2 u)
(* -2 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 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 (*.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 v (pow.f64 u #s(literal 4 binary64))) #s(literal -3 binary64) (*.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 v #s(literal 2 binary64)) (*.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)
(*.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1))
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/.f64 (fma.f64 (*.f64 u u) (*.f64 (/.f64 v (*.f64 t1 t1)) #s(literal -4 binary64)) (fma.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) (/.f64 (*.f64 v (*.f64 u u)) (*.f64 t1 t1)))) 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 u u) (*.f64 (/.f64 v (*.f64 t1 t1)) #s(literal -4 binary64)) (fma.f64 #s(literal -2 binary64) (fma.f64 u (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64))) (*.f64 t1 (*.f64 t1 t1))) (/.f64 (*.f64 v (*.f64 u (*.f64 u u))) (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 v (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) (/.f64 (*.f64 v (*.f64 u u)) (*.f64 t1 t1))))) t1)
(* -1 (/ v t1))
(neg.f64 (/.f64 v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(*.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) 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)) t1) #s(literal -3 binary64))) 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 u (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 (*.f64 u u) #s(literal 3 binary64)))) (*.f64 v (*.f64 (*.f64 u (*.f64 u u)) #s(literal -2 binary64)))) t1)) t1)) t1)) (neg.f64 t1))
(* -1 (/ v t1))
(neg.f64 (/.f64 v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(*.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(fma.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) (*.f64 u (*.f64 (*.f64 u #s(literal -3 binary64)) (/.f64 v (*.f64 t1 (*.f64 t1 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 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) (*.f64 (*.f64 u u) (fma.f64 u (fma.f64 #s(literal -2 binary64) (/.f64 v (*.f64 t1 (*.f64 t1 (*.f64 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))))))
(* -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 t1 (*.f64 t1 t1)) (*.f64 (/.f64 v (*.f64 u u)) #s(literal -4 binary64)) (fma.f64 (/.f64 v (*.f64 u u)) (*.f64 t1 (*.f64 t1 t1)) (*.f64 (*.f64 t1 t1) (*.f64 (/.f64 v u) #s(literal 2 binary64))))) (*.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 #s(literal -2 binary64) (fma.f64 (*.f64 v (*.f64 (*.f64 t1 (*.f64 t1 t1)) #s(literal -3 binary64))) (/.f64 t1 (*.f64 u (*.f64 u u))) (/.f64 (*.f64 t1 (*.f64 v (*.f64 t1 (*.f64 t1 t1)))) (*.f64 u (*.f64 u u)))) (-.f64 (fma.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 (/.f64 v (*.f64 u u)) #s(literal -4 binary64)) (fma.f64 (/.f64 v (*.f64 u u)) (*.f64 t1 (*.f64 t1 t1)) (*.f64 (*.f64 t1 t1) (*.f64 (/.f64 v u) #s(literal 2 binary64))))) (*.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 (/ (- (+ (* -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 #s(literal 3 binary64) (/.f64 (*.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))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 t1 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.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 v (*.f64 (*.f64 t1 (*.f64 t1 t1)) #s(literal -3 binary64))))) u) (*.f64 v (*.f64 #s(literal 2 binary64) (*.f64 t1 t1)))) u) (*.f64 t1 v)) (*.f64 u u))
(/ (* t1 v) (+ t1 u))
(*.f64 t1 (/.f64 v (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 t1 (/.f64 v (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 t1 (/.f64 v (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 t1 (/.f64 v (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 t1 (/.f64 v (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 t1 (/.f64 v (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 t1 (/.f64 v (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 t1 (/.f64 v (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 t1 (/.f64 v (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 t1 (/.f64 v (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 t1 (/.f64 v (+.f64 t1 u)))
(/ (* t1 v) (+ t1 u))
(*.f64 t1 (/.f64 v (+.f64 t1 u)))
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(* t1 (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u)))
(*.f64 t1 (/.f64 (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 (fma.f64 v (/.f64 t1 (*.f64 u (*.f64 u u))) (/.f64 v (*.f64 u (neg.f64 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 v (*.f64 u (*.f64 u u))) (/.f64 (*.f64 t1 v) (pow.f64 u #s(literal 4 binary64)))) (/.f64 v (*.f64 u (neg.f64 u)))) (/.f64 v u)))
v
(+ v (* -1 (/ (* u v) t1)))
(fma.f64 v (/.f64 (neg.f64 u) t1) v)
(- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))
(fma.f64 u (/.f64 (fma.f64 v (/.f64 u t1) (neg.f64 v)) t1) v)
(- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)))
(fma.f64 u (/.f64 (fma.f64 v (/.f64 u t1) (neg.f64 v)) t1) (fma.f64 (/.f64 v (*.f64 t1 (*.f64 t1 t1))) (*.f64 u (*.f64 u (neg.f64 u))) v))
v
(+ v (* -1 (/ (* u v) t1)))
(fma.f64 v (/.f64 (neg.f64 u) t1) v)
(+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1)))
(fma.f64 u (/.f64 (fma.f64 v (/.f64 u t1) (neg.f64 v)) t1) v)
(+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1)))
(-.f64 v (/.f64 (-.f64 (*.f64 v u) (/.f64 (-.f64 (*.f64 v (*.f64 u u)) (*.f64 u (/.f64 (*.f64 v (*.f64 u u)) t1))) t1)) t1))
v
(+ v (* -1 (/ (* u v) t1)))
(fma.f64 v (/.f64 (neg.f64 u) t1) v)
(+ v (* u (- (/ (* u v) (pow t1 2)) (/ v t1))))
(fma.f64 u (/.f64 (fma.f64 v (/.f64 u t1) (neg.f64 v)) t1) v)
(+ v (* u (- (* u (- (* -1 (/ (* u v) (pow t1 3))) (* -1 (/ v (pow t1 2))))) (/ v t1))))
(fma.f64 u (fma.f64 u (-.f64 (/.f64 v (*.f64 t1 t1)) (/.f64 (*.f64 v u) (*.f64 t1 (*.f64 t1 t1)))) (neg.f64 (/.f64 v t1))) v)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u)
(*.f64 t1 (/.f64 (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 v (/.f64 (fma.f64 t1 (*.f64 t1 (neg.f64 v)) (/.f64 (*.f64 v (*.f64 t1 (*.f64 t1 t1))) u)) u)) 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 (-.f64 (fma.f64 t1 v (/.f64 (fma.f64 t1 (*.f64 t1 (neg.f64 v)) (/.f64 (*.f64 v (*.f64 t1 (*.f64 t1 t1))) u)) u)) (/.f64 (*.f64 t1 (*.f64 v (*.f64 t1 (*.f64 t1 t1)))) (*.f64 u (*.f64 u u)))) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(* -1 (/ (+ (* -1 (* t1 v)) (/ (* (pow t1 2) v) u)) u))
(neg.f64 (*.f64 (/.f64 (fma.f64 t1 (/.f64 v (neg.f64 u)) v) u) (neg.f64 t1)))
(* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u))) u))
(/.f64 (fma.f64 t1 v (/.f64 (fma.f64 t1 (*.f64 t1 (neg.f64 v)) (/.f64 (*.f64 v (*.f64 t1 (*.f64 t1 t1))) u)) u)) 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 t1 v (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 t1 (*.f64 v (*.f64 t1 (*.f64 t1 t1)))) u) (*.f64 v (*.f64 t1 (*.f64 t1 t1)))) (neg.f64 u)) (*.f64 t1 (*.f64 t1 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))
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(* -1 (* v (- (/ 1 t1) (* 2 (/ u (pow t1 2))))))
(*.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1))
(* 2 (/ (* u v) (pow t1 2)))
(/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) (*.f64 t1 t1))
(/ (- (* -1 (* t1 v)) (* -2 (* u v))) (pow t1 2))
(/.f64 (neg.f64 (*.f64 v (fma.f64 u #s(literal -2 binary64) t1))) (*.f64 t1 t1))
(/ (- (* -1 (* t1 v)) (* -2 (* u v))) (pow t1 2))
(/.f64 (neg.f64 (*.f64 v (fma.f64 u #s(literal -2 binary64) t1))) (*.f64 t1 t1))
(/ (- (* -1 (* t1 v)) (* -2 (* u v))) (pow t1 2))
(/.f64 (neg.f64 (*.f64 v (fma.f64 u #s(literal -2 binary64) t1))) (*.f64 t1 t1))
(* -1 (/ v t1))
(neg.f64 (/.f64 v t1))
(/ (- (* 2 (/ (* u v) t1)) v) t1)
(*.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1))
(/ (- (* 2 (/ (* u v) t1)) v) t1)
(*.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1))
(/ (- (* 2 (/ (* u v) t1)) v) t1)
(*.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1))
(* -1 (/ v t1))
(neg.f64 (/.f64 v t1))
(* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1))
(*.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1))
(* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1))
(*.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1))
(* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1))
(*.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1))
(* -1 (/ v t1))
(neg.f64 (/.f64 v t1))
(- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))
(*.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1))
(- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))
(*.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1))
(- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))
(*.f64 v (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1))
(* 2 (/ (* u v) (pow t1 2)))
(/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) (*.f64 t1 t1))
(* u (- (* -1 (/ v (* t1 u))) (* -2 (/ v (pow t1 2)))))
(*.f64 u (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 t1 t1))) (/.f64 v (*.f64 t1 u))))
(* u (- (* -1 (/ v (* t1 u))) (* -2 (/ v (pow t1 2)))))
(*.f64 u (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 t1 t1))) (/.f64 v (*.f64 t1 u))))
(* u (- (* -1 (/ v (* t1 u))) (* -2 (/ v (pow t1 2)))))
(*.f64 u (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 t1 t1))) (/.f64 v (*.f64 t1 u))))
(* 2 (/ (* u v) (pow t1 2)))
(/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) (*.f64 t1 t1))
(* -1 (* u (- (/ v (* t1 u)) (* 2 (/ v (pow t1 2))))))
(*.f64 u (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 t1 t1))) (/.f64 v (*.f64 t1 u))))
(* -1 (* u (- (/ v (* t1 u)) (* 2 (/ v (pow t1 2))))))
(*.f64 u (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 t1 t1))) (/.f64 v (*.f64 t1 u))))
(* -1 (* u (- (/ v (* t1 u)) (* 2 (/ v (pow t1 2))))))
(*.f64 u (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 t1 t1))) (/.f64 v (*.f64 t1 u))))
(* v (+ 1 (* -2 (/ u t1))))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(* v (+ 1 (* -2 (/ u t1))))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(* v (+ 1 (* -2 (/ u t1))))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(* v (+ 1 (* -2 (/ u t1))))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(* v (+ 1 (* -2 (/ u t1))))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(* v (+ 1 (* -2 (/ u t1))))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(* v (+ 1 (* -2 (/ u t1))))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(* v (+ 1 (* -2 (/ u t1))))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(* -1 (* v (- (* 2 (/ u t1)) 1)))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(* -1 (* v (- (* 2 (/ u t1)) 1)))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(* -1 (* v (- (* 2 (/ u t1)) 1)))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(* -1 (* v (- (* 2 (/ u t1)) 1)))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(* -2 (/ (* u v) t1))
(/.f64 (*.f64 v (*.f64 u #s(literal -2 binary64))) t1)
(/ (+ (* -2 (* u v)) (* t1 v)) t1)
(/.f64 (*.f64 v (fma.f64 u #s(literal -2 binary64) t1)) t1)
(/ (+ (* -2 (* u v)) (* t1 v)) t1)
(/.f64 (*.f64 v (fma.f64 u #s(literal -2 binary64) t1)) t1)
(/ (+ (* -2 (* u v)) (* t1 v)) t1)
(/.f64 (*.f64 v (fma.f64 u #s(literal -2 binary64) t1)) t1)
v
(+ v (* -2 (/ (* u v) t1)))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(+ v (* -2 (/ (* u v) t1)))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(+ v (* -2 (/ (* u v) t1)))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
v
(+ v (* -2 (/ (* u v) t1)))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(+ v (* -2 (/ (* u v) t1)))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(+ v (* -2 (/ (* u v) t1)))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
v
(+ v (* -2 (/ (* u v) t1)))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(+ v (* -2 (/ (* u v) t1)))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(+ v (* -2 (/ (* u v) t1)))
(fma.f64 v (/.f64 (*.f64 u #s(literal -2 binary64)) t1) v)
(* -2 (/ (* u v) t1))
(/.f64 (*.f64 v (*.f64 u #s(literal -2 binary64))) t1)
(* u (+ (* -2 (/ v t1)) (/ v u)))
(*.f64 u (fma.f64 #s(literal -2 binary64) (/.f64 v t1) (/.f64 v u)))
(* u (+ (* -2 (/ v t1)) (/ v u)))
(*.f64 u (fma.f64 #s(literal -2 binary64) (/.f64 v t1) (/.f64 v u)))
(* u (+ (* -2 (/ v t1)) (/ v u)))
(*.f64 u (fma.f64 #s(literal -2 binary64) (/.f64 v t1) (/.f64 v u)))
(* -2 (/ (* u v) t1))
(/.f64 (*.f64 v (*.f64 u #s(literal -2 binary64))) t1)
(* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1)))))
(*.f64 u (fma.f64 #s(literal -2 binary64) (/.f64 v t1) (/.f64 v u)))
(* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1)))))
(*.f64 u (fma.f64 #s(literal -2 binary64) (/.f64 v t1) (/.f64 v u)))
(* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1)))))
(*.f64 u (fma.f64 #s(literal -2 binary64) (/.f64 v t1) (/.f64 v u)))
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v t1)
(/ v t1)
(/.f64 v 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))
(* -2 u)
(*.f64 u #s(literal -2 binary64))
(* -2 u)
(*.f64 u #s(literal -2 binary64))
(* -2 u)
(*.f64 u #s(literal -2 binary64))
(* -2 u)
(*.f64 u #s(literal -2 binary64))
(* -2 u)
(*.f64 u #s(literal -2 binary64))
(* -2 u)
(*.f64 u #s(literal -2 binary64))
(* -2 u)
(*.f64 u #s(literal -2 binary64))
(* -2 u)
(*.f64 u #s(literal -2 binary64))
(* -2 u)
(*.f64 u #s(literal -2 binary64))
(* -2 u)
(*.f64 u #s(literal -2 binary64))
(* -2 u)
(*.f64 u #s(literal -2 binary64))
(* -2 u)
(*.f64 u #s(literal -2 binary64))

eval368.0ms (3.5%)

Memory
31.2MiB live, 625.2MiB allocated
Compiler

Compiled 42 162 to 4 843 computations (88.5% saved)

prune296.0ms (2.8%)

Memory
-5.9MiB live, 562.0MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New2 215102 225
Fresh246
Picked235
Done000
Total2 219172 236
Accuracy
100.0%
Counts
2 236 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(/.f64 (/.f64 (*.f64 t1 v) u) (neg.f64 (+.f64 t1 u)))
97.9%
(/.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (/.f64 (+.f64 t1 u) v))
53.1%
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 (+.f64 t1 u)))
44.6%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
53.4%
(/.f64 (neg.f64 v) t1)
94.4%
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
58.7%
(/.f64 v (neg.f64 (+.f64 t1 u)))
53.3%
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
98.0%
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
76.6%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
45.4%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
44.9%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
46.1%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 t1 (fma.f64 u #s(literal 2 binary64) t1))) v)
73.1%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
53.2%
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
45.9%
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
51.2%
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))
Compiler

Compiled 378 to 236 computations (37.6% saved)

simplify350.0ms (3.3%)

Memory
2.1MiB live, 199.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (+.f64 t1 u))
cost-diff0
(/.f64 v u)
cost-diff0
(*.f64 (/.f64 v u) t1)
cost-diff384
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 (+.f64 t1 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
(neg.f64 u)
cost-diff0
(*.f64 u (neg.f64 u))
cost-diff0
(/.f64 v (*.f64 u (neg.f64 u)))
cost-diff0
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
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
(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
2 760×accelerator-lowering-fma.f32
2 760×accelerator-lowering-fma.f64
1 576×*-lowering-*.f32
1 576×*-lowering-*.f64
738×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023123
165123
2197123
3471123
4795123
51596123
62731123
73505123
83949123
94054123
104070123
114140123
124402123
134506123
144506123
154506123
164566123
174796123
184812123
194848123
204884123
214884123
224892123
04892123
Stop Event
iter limit
saturated
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))
(* (/ -1 t1) v)
(/ -1 t1)
-1
t1
v
(* t1 (/ v (* u (neg u))))
t1
(/ v (* u (neg u)))
v
(* u (neg u))
u
(neg u)
(* (/ (neg t1) (* (+ t1 u) u)) v)
(/ (neg t1) (* (+ t1 u) u))
(neg t1)
t1
(* (+ t1 u) u)
(+ t1 u)
u
v
(/ (* (/ v u) t1) (neg (+ t1 u)))
(* (/ v u) t1)
(/ v u)
v
u
t1
(neg (+ t1 u))
(+ t1 u)
Outputs
(* (/ (neg v) (+ t1 u)) (/ t1 (+ t1 u)))
(/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
(/ (neg v) (+ t1 u))
(/.f64 v (-.f64 (neg.f64 u) t1))
(neg v)
(neg.f64 v)
v
(+ t1 u)
(+.f64 t1 u)
t1
u
(/ t1 (+ t1 u))
(/.f64 t1 (+.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
(* t1 (/ v (* u (neg u))))
(/.f64 (*.f64 v t1) (*.f64 u (neg.f64 u)))
t1
(/ v (* u (neg u)))
(/.f64 v (*.f64 u (neg.f64 u)))
v
(* u (neg u))
(*.f64 u (neg.f64 u))
u
(neg u)
(neg.f64 u)
(* (/ (neg t1) (* (+ t1 u) u)) v)
(*.f64 t1 (/.f64 v (*.f64 u (-.f64 (neg.f64 u) t1))))
(/ (neg t1) (* (+ t1 u) u))
(/.f64 t1 (*.f64 u (-.f64 (neg.f64 u) t1)))
(neg t1)
(neg.f64 t1)
t1
(* (+ t1 u) u)
(*.f64 u (+.f64 t1 u))
(+ t1 u)
(+.f64 t1 u)
u
v
(/ (* (/ v u) t1) (neg (+ t1 u)))
(*.f64 t1 (/.f64 v (*.f64 u (-.f64 (neg.f64 u) t1))))
(* (/ v u) t1)
(*.f64 t1 (/.f64 v u))
(/ v u)
(/.f64 v u)
v
u
t1
(neg (+ t1 u))
(-.f64 (neg.f64 u) t1)
(+ t1 u)
(+.f64 t1 u)

localize77.0ms (0.7%)

Memory
1.9MiB live, 167.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 t1 u)
accuracy100.0%
(neg.f64 (+.f64 t1 u))
accuracy94.7%
(*.f64 (/.f64 v u) t1)
accuracy93.6%
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 (+.f64 t1 u)))
accuracy100.0%
(neg.f64 t1)
accuracy100.0%
(*.f64 (+.f64 t1 u) u)
accuracy94.6%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
accuracy85.2%
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u))
accuracy100.0%
(*.f64 u (neg.f64 u))
accuracy100.0%
(neg.f64 u)
accuracy92.2%
(/.f64 v (*.f64 u (neg.f64 u)))
accuracy89.5%
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
accuracy100.0%
(/.f64 #s(literal -1 binary64) t1)
accuracy99.7%
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
accuracy100.0%
(+.f64 t1 u)
accuracy100.0%
(neg.f64 v)
accuracy100.0%
(/.f64 t1 (+.f64 t1 u))
accuracy98.0%
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
Samples
52.0ms256×0valid
Compiler

Compiled 126 to 25 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 15.0ms (44.6% of total)
ival-div: 12.0ms (35.7% of total)
ival-neg: 4.0ms (11.9% of total)
ival-add: 1.0ms (3% 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
10.2MiB live, 85.3MiB allocated
Counts
19 → 468
Calls
Call 1
Inputs
#<alt (* (/ (neg v) (+ t1 u)) (/ t1 (+ t1 u)))>
#<alt (/ (neg v) (+ t1 u))>
#<alt (neg v)>
#<alt (+ t1 u)>
#<alt (* (/ -1 t1) v)>
#<alt (/ -1 t1)>
#<alt (* t1 (/ v (* u (neg u))))>
#<alt (/ v (* u (neg u)))>
#<alt (* u (neg u))>
#<alt (neg u)>
#<alt (* (/ (neg t1) (* (+ t1 u) u)) v)>
#<alt (/ (neg t1) (* (+ t1 u) u))>
#<alt (neg t1)>
#<alt (* (+ t1 u) u)>
#<alt (/ (* (/ v u) t1) (neg (+ t1 u)))>
#<alt (* (/ v u) t1)>
#<alt (/ v u)>
#<alt (neg (+ t1 u))>
#<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)))))))>
#<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 (/ 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)) (* u v)) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* 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)) (* t1 v)) u))) u))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow t1 3) v) u)) (* (pow t1 2) v)) u)) (* t1 v)) u))) 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)>
#<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 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (* -1 (pow u 2))>
#<alt (* -1 (pow u 2))>
#<alt (* -1 (pow u 2))>
#<alt (* -1 (pow u 2))>
#<alt (* -1 (pow u 2))>
#<alt (* -1 (pow u 2))>
#<alt (* -1 (pow u 2))>
#<alt (* -1 (pow u 2))>
#<alt (* -1 (pow u 2))>
#<alt (* -1 (pow u 2))>
#<alt (* -1 (pow u 2))>
#<alt (* -1 (pow u 2))>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<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 (* -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 (+ (* 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) (* 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 (/ 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 (/ (+ (* -1 (* (pow t1 2) v)) (/ (* (pow t1 3) v) u)) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -1 (* (pow t1 2) v)) (* -1 (/ (+ (* -1 (* (pow t1 3) v)) (/ (* (pow t1 4) v) u)) u))) u))) (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 (/ (+ (* -1 v) (/ (* u v) t1)) t1)))>
#<alt (+ (* -1 (/ v u)) (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -1 (* u v)) (/ (* (pow u 2) v) t1)) t1))) t1)))>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v 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 (/ 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

117 calls:

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

rewrite380.0ms (3.6%)

Memory
11.9MiB live, 678.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 322×*-lowering-*.f32
5 322×*-lowering-*.f64
4 434×/-lowering-/.f32
4 434×/-lowering-/.f64
2 786×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023102
1122100
2929100
08533100
Stop Event
iter limit
node limit
Counts
19 → 1 255
Calls
Call 1
Inputs
(* (/ (neg v) (+ t1 u)) (/ t1 (+ t1 u)))
(/ (neg v) (+ t1 u))
(neg v)
(+ t1 u)
(* (/ -1 t1) v)
(/ -1 t1)
(* t1 (/ v (* u (neg u))))
(/ v (* u (neg u)))
(* u (neg u))
(neg u)
(* (/ (neg t1) (* (+ t1 u) u)) v)
(/ (neg t1) (* (+ t1 u) u))
(neg t1)
(* (+ t1 u) u)
(/ (* (/ v u) t1) (neg (+ t1 u)))
(* (/ v u) t1)
(/ v u)
(neg (+ t1 u))
(/ t1 (+ t1 u))
Outputs
(+.f64 (*.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 t1 t1)) (*.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 u (-.f64 u t1))))
(+.f64 (*.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 u (-.f64 u t1))) (*.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 t1 t1)))
(+.f64 (*.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) t1) (*.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (neg.f64 u)))
(+.f64 (*.f64 (*.f64 t1 t1) (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))) (*.f64 (*.f64 u (-.f64 u t1)) (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))))
(+.f64 (*.f64 (*.f64 u (-.f64 u t1)) (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))) (*.f64 (*.f64 t1 t1) (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))))
(+.f64 (*.f64 t1 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))))) (*.f64 (neg.f64 u) (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))))))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (*.f64 v (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (+.f64 t1 u) v))) (/.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) (neg.f64 (/.f64 (+.f64 t1 u) v))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1))) (/.f64 (neg.f64 v) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1))))
(-.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))))
(fma.f64 t1 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (*.f64 (neg.f64 u) (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))))))
(fma.f64 (*.f64 t1 t1) (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 (*.f64 u (-.f64 u t1)) (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))))
(fma.f64 (*.f64 u (-.f64 u t1)) (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 (*.f64 t1 t1) (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))))
(fma.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 t1 t1) (*.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 u (-.f64 u t1))))
(fma.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 u (-.f64 u t1)) (*.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 t1 t1)))
(fma.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) t1 (*.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (neg.f64 u)))
(neg.f64 (/.f64 (neg.f64 v) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1))))
(neg.f64 (/.f64 (neg.f64 t1) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v))))
(neg.f64 (*.f64 v (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(neg.f64 (/.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) (neg.f64 (/.f64 (+.f64 t1 u) v))))
(neg.f64 (*.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) (/.f64 v (-.f64 (neg.f64 u) t1))))
(neg.f64 (*.f64 (*.f64 v t1) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(neg.f64 (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1))))
(/.f64 v (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1)))
(/.f64 (neg.f64 v) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1))
(/.f64 t1 (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v)))
(/.f64 (/.f64 v (-.f64 (neg.f64 u) t1)) (/.f64 (+.f64 t1 u) t1))
(/.f64 (/.f64 t1 (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v (neg.f64 t1)))))
(/.f64 (neg.f64 t1) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v))
(/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v (neg.f64 t1))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v (neg.f64 t1))) #s(literal 1 binary64)))
(/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (-.f64 (neg.f64 u) t1) t1))
(/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (+.f64 t1 u))
(/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
(/.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) (/.f64 (+.f64 t1 u) v))
(/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 u) t1))
(/.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.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 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(/.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) v))
(/.f64 (*.f64 v (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 v (-.f64 (neg.f64 u) t1)) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) t1))
(/.f64 (*.f64 (/.f64 v (-.f64 (neg.f64 u) t1)) #s(literal -1 binary64)) (/.f64 (-.f64 (neg.f64 u) t1) t1))
(/.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal -1 binary64)) (/.f64 (+.f64 t1 u) v))
(/.f64 (*.f64 (*.f64 v (neg.f64 t1)) #s(literal 1 binary64)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (*.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) #s(literal 1 binary64)) (+.f64 t1 u))
(/.f64 (*.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (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 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (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 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (+.f64 t1 u))
(/.f64 (*.f64 (neg.f64 (/.f64 (*.f64 v (/.f64 t1 (+.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 (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)
(/.f64 (*.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))
(/.f64 (*.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (-.f64 t1 u)) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))
(/.f64 (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) #s(literal 1 binary64)) (+.f64 t1 u))
(pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v (neg.f64 t1))) #s(literal -1 binary64))
(*.f64 v (/.f64 (/.f64 t1 (+.f64 t1 u)) (-.f64 (neg.f64 u) t1)))
(*.f64 v (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1))))
(*.f64 v (*.f64 #s(literal -1 binary64) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 v (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))))
(*.f64 v (*.f64 (neg.f64 t1) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (neg.f64 v) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 t1 (/.f64 (/.f64 v (-.f64 (neg.f64 u) t1)) (+.f64 t1 u)))
(*.f64 t1 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v))))
(*.f64 t1 (*.f64 (neg.f64 v) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (/.f64 v (-.f64 (neg.f64 u) t1)) (/.f64 t1 (+.f64 t1 u)))
(*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (-.f64 (neg.f64 u) t1)))
(*.f64 #s(literal -1 binary64) (*.f64 v (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) (/.f64 v (-.f64 (neg.f64 u) t1))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v t1) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (neg.f64 t1) (/.f64 (/.f64 v (-.f64 (neg.f64 u) t1)) (-.f64 (neg.f64 u) t1)))
(*.f64 (neg.f64 t1) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v)))
(*.f64 (neg.f64 t1) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 v (-.f64 (neg.f64 u) t1))))
(*.f64 (neg.f64 t1) (*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
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(-.f64 #s(literal 0 binary64) (/.f64 t1 (-.f64 (neg.f64 u) t1)))
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(fma.f64 (*.f64 t1 t1) (/.f64 t1 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 t1 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))))
(fma.f64 (*.f64 u (-.f64 u t1)) (/.f64 t1 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 (*.f64 t1 t1) (/.f64 t1 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))))
(fma.f64 (/.f64 t1 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1) (*.f64 (/.f64 t1 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1))))
(fma.f64 (/.f64 t1 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1)) (*.f64 (/.f64 t1 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1)))
(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 (/.f64 t1 (-.f64 (neg.f64 u) t1)))
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(/.f64 t1 (+.f64 t1 u))
(/.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 u) t1) t1))
(/.f64 (neg.f64 t1) (-.f64 (neg.f64 u) t1))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t1 u) t1))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) t1))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 #s(literal -1 binary64) t1))
(/.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) #s(literal -1 binary64))
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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 t1 t1 (*.f64 u (-.f64 u t1)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (neg.f64 u) t1) t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) (/.f64 t1 (-.f64 (neg.f64 u) t1)) (*.f64 #s(literal 0 binary64) (/.f64 t1 (-.f64 (neg.f64 u) t1))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) (/.f64 t1 (-.f64 (neg.f64 u) t1)))) (/.f64 t1 (-.f64 (neg.f64 u) t1)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
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(/.f64 (*.f64 (/.f64 t1 (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 (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (+.f64 t1 u))
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(/.f64 (*.f64 (neg.f64 (*.f64 t1 t1)) (/.f64 #s(literal -1 binary64) (+.f64 t1 u))) t1)
(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 #s(literal -1 binary64) (/.f64 t1 (-.f64 (neg.f64 u) t1)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) #s(literal 1 binary64)))
(*.f64 (neg.f64 t1) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
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(*.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)))
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(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (+.f64 (neg.f64 t1) u))
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(*.f64 (*.f64 #s(literal 1 binary64) (/.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))
(*.f64 (/.f64 (neg.f64 t1) (neg.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) (fma.f64 (+.f64 t1 u) (+.f64 t1 u) #s(literal 0 binary64)))

simplify737.0ms (6.9%)

Memory
-56.2MiB live, 534.1MiB allocated
Algorithm
egg-herbie
Rules
9 810×accelerator-lowering-fma.f32
9 810×accelerator-lowering-fma.f64
4 738×*-lowering-*.f32
4 738×*-lowering-*.f64
2 964×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05424283
116864102
249673993
084533907
Stop Event
iter limit
node limit
Counts
468 → 468
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)))))))))
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(/ (+ (* -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)
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(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) 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)))
(/ (+ (* -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)))
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(* -1 (/ v (+ t1 u)))
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(* -1 (/ v (+ t1 u)))
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(* -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)
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(* -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))
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(/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)
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(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u))) u))
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u
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t1
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(* 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)
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(* 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))
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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) (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 (/ v (pow u 2)))
(* -1 (/ v (pow u 2)))
(* -1 (/ v (pow u 2)))
(* -1 (/ v (pow u 2)))
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(* -1 (/ v (pow u 2)))
(* -1 (/ v (pow u 2)))
(* -1 (/ v (pow u 2)))
(* -1 (/ v (pow u 2)))
(* -1 (/ v (pow u 2)))
(* -1 (/ v (pow u 2)))
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(* -1 (/ v (pow u 2)))
(* -1 (/ v (pow u 2)))
(* -1 (/ v (pow u 2)))
(* -1 (/ v (pow u 2)))
(* -1 (/ v (pow u 2)))
(* -1 (pow u 2))
(* -1 (pow u 2))
(* -1 (pow u 2))
(* -1 (pow u 2))
(* -1 (pow u 2))
(* -1 (pow u 2))
(* -1 (pow u 2))
(* -1 (pow u 2))
(* -1 (pow u 2))
(* -1 (pow u 2))
(* -1 (pow u 2))
(* -1 (pow u 2))
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -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))
(* -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)
(+ (* 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) (* 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 (/ 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 (/ (+ (* -1 (* (pow t1 2) v)) (/ (* (pow t1 3) v) u)) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -1 (* (pow t1 2) v)) (* -1 (/ (+ (* -1 (* (pow t1 3) v)) (/ (* (pow t1 4) v) u)) u))) u))) (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))
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(+ (* -1 (/ v u)) (+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1)))
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(* -1 (/ v u))
(+ (* -1 (/ v u)) (/ v t1))
(+ (* -1 (/ v u)) (* -1 (/ (+ (* -1 v) (/ (* u v) t1)) t1)))
(+ (* -1 (/ v u)) (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -1 (* u v)) (/ (* (pow u 2) v) t1)) t1))) t1)))
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v u)
(/ v 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))))
(/ 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) (-.f64 (neg.f64 u) t1)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 u) t1)))
(* -1 (/ (* t1 v) (pow u 2)))
(neg.f64 (*.f64 t1 (/.f64 v (*.f64 u 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 #s(literal 2 binary64) (/.f64 v (*.f64 u (*.f64 u u))))) (neg.f64 (/.f64 v (*.f64 u 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 (-.f64 (*.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 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)
(/.f64 (fma.f64 (*.f64 u u) (*.f64 (/.f64 v (*.f64 t1 t1)) #s(literal -4 binary64)) (fma.f64 (*.f64 u u) (/.f64 v (*.f64 t1 t1)) (fma.f64 u (*.f64 (/.f64 v t1) #s(literal 2 binary64)) (neg.f64 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 #s(literal -4 binary64) (/.f64 (*.f64 v (*.f64 u u)) (*.f64 t1 t1)) (fma.f64 #s(literal -2 binary64) (fma.f64 u (/.f64 (*.f64 (*.f64 v (*.f64 u u)) #s(literal -3 binary64)) (*.f64 t1 (*.f64 t1 t1))) (/.f64 (*.f64 v (*.f64 u (*.f64 u u))) (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 (*.f64 u u) (/.f64 v (*.f64 t1 t1)) (fma.f64 u (*.f64 (/.f64 v t1) #s(literal 2 binary64)) (neg.f64 v))))) t1)
(* -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))
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (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 #s(literal 3 binary64) (*.f64 v (*.f64 u u))) t1)) t1)) (neg.f64 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 (/.f64 (-.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 v (/.f64 (*.f64 u (*.f64 u u)) t1) (*.f64 u (*.f64 (/.f64 (*.f64 v (*.f64 u u)) t1) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 v (*.f64 u u)))) t1)) t1) v) t1)
(* -1 (/ v t1))
(neg.f64 (/.f64 v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(neg.f64 (/.f64 (fma.f64 u (*.f64 (/.f64 v t1) #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 u (fma.f64 u (*.f64 (/.f64 v (*.f64 t1 (*.f64 t1 t1))) #s(literal -3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 t1 t1)))) (neg.f64 (/.f64 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 u (fma.f64 u (fma.f64 (*.f64 u #s(literal -2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 v (*.f64 t1 (*.f64 t1 t1))) t1) (/.f64 v (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1))) (*.f64 (/.f64 v (*.f64 t1 (*.f64 t1 t1))) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 t1 t1)))) (neg.f64 (/.f64 v t1)))
(* -1 (/ (* t1 v) (pow u 2)))
(neg.f64 (*.f64 t1 (/.f64 v (*.f64 u u))))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 t1 (*.f64 t1 v)) u)) (*.f64 t1 v)) (*.f64 u u))
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(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(/ v u)
(/.f64 v u)
(* -1 u)
(neg.f64 u)
(- (* -1 t1) u)
(-.f64 (neg.f64 u) t1)
(- (* -1 t1) u)
(-.f64 (neg.f64 u) t1)
(- (* -1 t1) u)
(-.f64 (neg.f64 u) t1)
(* -1 t1)
(neg.f64 t1)
(* t1 (- (* -1 (/ u t1)) 1))
(*.f64 t1 (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(* t1 (- (* -1 (/ u t1)) 1))
(*.f64 t1 (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(* t1 (- (* -1 (/ u t1)) 1))
(*.f64 t1 (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(* -1 t1)
(neg.f64 t1)
(* -1 (* t1 (+ 1 (/ u t1))))
(*.f64 t1 (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(* -1 (* t1 (+ 1 (/ u t1))))
(*.f64 t1 (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(* -1 (* t1 (+ 1 (/ u t1))))
(*.f64 t1 (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(* -1 t1)
(neg.f64 t1)
(- (* -1 u) t1)
(-.f64 (neg.f64 u) t1)
(- (* -1 u) t1)
(-.f64 (neg.f64 u) t1)
(- (* -1 u) t1)
(-.f64 (neg.f64 u) t1)
(* -1 u)
(neg.f64 u)
(* u (- (* -1 (/ t1 u)) 1))
(*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 t1 u)))
(* u (- (* -1 (/ t1 u)) 1))
(*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 t1 u)))
(* u (- (* -1 (/ t1 u)) 1))
(*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 t1 u)))
(* -1 u)
(neg.f64 u)
(* -1 (* u (+ 1 (/ t1 u))))
(*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 t1 u)))
(* -1 (* u (+ 1 (/ t1 u))))
(*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 t1 u)))
(* -1 (* u (+ 1 (/ t1 u))))
(*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 t1 u)))
(/ t1 u)
(/.f64 t1 u)
(* t1 (+ (* -1 (/ t1 (pow u 2))) (/ 1 u)))
(-.f64 (/.f64 t1 u) (*.f64 (/.f64 t1 (*.f64 u u)) t1))
(* t1 (+ (* t1 (- (/ t1 (pow u 3)) (/ 1 (pow u 2)))) (/ 1 u)))
(fma.f64 t1 (-.f64 (*.f64 t1 (/.f64 t1 (*.f64 u (*.f64 u u)))) (/.f64 t1 (*.f64 u u))) (/.f64 t1 u))
(* t1 (+ (* t1 (- (* t1 (+ (* -1 (/ t1 (pow u 4))) (/ 1 (pow u 3)))) (/ 1 (pow u 2)))) (/ 1 u)))
(fma.f64 t1 (*.f64 t1 (fma.f64 t1 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 u (*.f64 u u))) (/.f64 t1 (pow.f64 u #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 u u)))) (/.f64 t1 u))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ u t1)))
(-.f64 #s(literal 1 binary64) (/.f64 u t1))
(- (+ 1 (/ (pow u 2) (pow t1 2))) (/ u t1))
(fma.f64 u (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 u t1)) t1) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow u 3) (pow t1 3)))) (+ (* -1 (/ (pow u 2) (pow t1 2))) (/ u t1)))
(fma.f64 u (/.f64 (fma.f64 u (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 u t1)) t1) #s(literal -1 binary64)) t1) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ u t1)))
(-.f64 #s(literal 1 binary64) (/.f64 u t1))
(+ 1 (* -1 (/ (- (* -1 (/ (pow u 2) t1)) (* -1 u)) t1)))
(fma.f64 u (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 u t1)) t1) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow u 3) t1)) (* -1 (pow u 2))) t1)) (* -1 u)) t1)))
(fma.f64 u (/.f64 (fma.f64 u (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 u t1)) t1) #s(literal -1 binary64)) t1) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ u t1)))
(-.f64 #s(literal 1 binary64) (/.f64 u t1))
(+ 1 (* u (- (/ u (pow t1 2)) (/ 1 t1))))
(fma.f64 u (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 u t1)) t1) #s(literal 1 binary64))
(+ 1 (* u (- (* u (+ (* -1 (/ u (pow t1 3))) (/ 1 (pow t1 2)))) (/ 1 t1))))
(fma.f64 u (/.f64 (fma.f64 u (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 u t1)) t1) #s(literal -1 binary64)) t1) #s(literal 1 binary64))
(/ t1 u)
(/.f64 t1 u)
(/ (+ t1 (* -1 (/ (pow t1 2) u))) u)
(/.f64 (-.f64 t1 (/.f64 (*.f64 t1 t1) u)) u)
(/ (- (+ t1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u)) u)
(/.f64 (+.f64 t1 (/.f64 (fma.f64 t1 (neg.f64 t1) (/.f64 (*.f64 t1 (*.f64 t1 t1)) u)) u)) u)
(/ (- (+ t1 (* -1 (/ (pow t1 4) (pow u 3)))) (+ (* -1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u))) u)
(/.f64 (+.f64 t1 (neg.f64 (fma.f64 t1 (/.f64 t1 u) (neg.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1) u) (*.f64 t1 (*.f64 t1 t1))) (*.f64 u u))))))) u)
(/ t1 u)
(/.f64 t1 u)
(* -1 (/ (+ (* -1 t1) (/ (pow t1 2) u)) u))
(/.f64 (-.f64 (/.f64 (*.f64 t1 t1) u) t1) (neg.f64 u))
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (/ (pow t1 3) u) (pow t1 2)) u))) u))
(/.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 t1 (/.f64 (neg.f64 (fma.f64 t1 t1 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1) u) (*.f64 t1 (*.f64 t1 t1))) u))) u)) u)

eval359.0ms (3.4%)

Memory
55.0MiB live, 387.5MiB allocated
Compiler

Compiled 35 811 to 3 942 computations (89% saved)

prune596.0ms (5.6%)

Memory
-33.5MiB live, 421.1MiB allocated
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New2 04282 050
Fresh279
Picked145
Done033
Total2 045222 067
Accuracy
100.0%
Counts
2 067 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(/.f64 (/.f64 (*.f64 v t1) u) (neg.f64 (+.f64 t1 u)))
53.2%
(/.f64 (/.f64 t1 (neg.f64 u)) (/.f64 u v))
53.7%
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 u))
44.6%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
48.7%
(/.f64 (neg.f64 v) (*.f64 u (/.f64 (+.f64 t1 u) t1)))
53.4%
(/.f64 (neg.f64 v) t1)
94.4%
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
58.7%
(/.f64 v (neg.f64 (+.f64 t1 u)))
13.9%
(/.f64 v (neg.f64 u))
53.3%
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
48.8%
(*.f64 (/.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) u) v)
98.0%
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
76.6%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
45.4%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
44.9%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
46.1%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 t1 (fma.f64 u #s(literal 2 binary64) t1))) v)
52.6%
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
73.1%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
13.9%
(*.f64 (/.f64 #s(literal -1 binary64) u) v)
53.2%
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
45.9%
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
51.2%
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))
Compiler

Compiled 423 to 269 computations (36.4% saved)

simplify290.0ms (2.7%)

Memory
0.7MiB live, 273.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 t1 u)
cost-diff0
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
cost-diff0
(/.f64 t1 u)
cost-diff0
(neg.f64 u)
cost-diff0
(/.f64 v (neg.f64 u))
cost-diff384
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
cost-diff0
(/.f64 t1 v)
cost-diff576
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
cost-diff0
(neg.f64 u)
cost-diff0
(/.f64 v (neg.f64 u))
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 u t1))
cost-diff0
(+.f64 t1 u)
cost-diff0
(*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
cost-diff256
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
Rules
5 268×accelerator-lowering-fma.f32
5 268×accelerator-lowering-fma.f64
2 198×*-lowering-*.f32
2 198×*-lowering-*.f64
1 450×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019111
151111
2144110
3346110
4718110
51420110
63143110
75719110
87791110
08010110
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ v (* (+ t1 u) (- -1 (/ u t1))))
v
(* (+ t1 u) (- -1 (/ u t1)))
(+ t1 u)
t1
u
(- -1 (/ u t1))
-1
(/ u t1)
(/ v (neg u))
v
(neg u)
u
(/ -1 (/ t1 v))
-1
(/ t1 v)
t1
v
(* (/ v (neg u)) (/ t1 u))
(/ v (neg u))
v
(neg u)
u
(/ t1 u)
t1
(* (/ -1 (* (+ t1 u) (+ t1 u))) (* t1 v))
(/ -1 (* (+ t1 u) (+ t1 u)))
-1
(* (+ t1 u) (+ t1 u))
(+ t1 u)
t1
u
(* t1 v)
v
Outputs
(/ v (* (+ t1 u) (- -1 (/ u t1))))
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
v
(* (+ t1 u) (- -1 (/ u t1)))
(fma.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1)) (neg.f64 t1))
(+ t1 u)
(+.f64 t1 u)
t1
u
(- -1 (/ u t1))
(-.f64 #s(literal -1 binary64) (/.f64 u t1))
-1
#s(literal -1 binary64)
(/ u t1)
(/.f64 u t1)
(/ v (neg u))
(/.f64 v (neg.f64 u))
v
(neg u)
(neg.f64 u)
u
(/ -1 (/ t1 v))
(/.f64 v (neg.f64 t1))
-1
#s(literal -1 binary64)
(/ t1 v)
(/.f64 t1 v)
t1
v
(* (/ v (neg u)) (/ t1 u))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(/ v (neg u))
(/.f64 v (neg.f64 u))
v
(neg u)
(neg.f64 u)
u
(/ t1 u)
(/.f64 t1 u)
t1
(* (/ -1 (* (+ t1 u) (+ t1 u))) (* t1 v))
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(/ -1 (* (+ t1 u) (+ t1 u)))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
-1
#s(literal -1 binary64)
(* (+ t1 u) (+ t1 u))
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
(+ t1 u)
(+.f64 t1 u)
t1
u
(* t1 v)
(*.f64 v t1)
v

localize76.0ms (0.7%)

Memory
-2.2MiB live, 151.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 t1 v)
accuracy100.0%
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
accuracy99.0%
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
accuracy74.2%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
accuracy100.0%
(/.f64 v (neg.f64 u))
accuracy100.0%
(/.f64 t1 u)
accuracy100.0%
(neg.f64 u)
accuracy96.7%
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
accuracy100.0%
(/.f64 t1 v)
accuracy99.2%
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
accuracy100.0%
(/.f64 v (neg.f64 u))
accuracy100.0%
(neg.f64 u)
accuracy100.0%
(-.f64 #s(literal -1 binary64) (/.f64 u t1))
accuracy100.0%
(+.f64 t1 u)
accuracy99.9%
(*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
accuracy94.5%
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
Samples
40.0ms256×0valid
Compiler

Compiled 115 to 21 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 12.0ms (47.6% of total)
ival-mult: 9.0ms (35.7% of total)
ival-add: 2.0ms (7.9% of total)
ival-sub: 1.0ms (4% of total)
ival-neg: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
26.6MiB live, 26.6MiB allocated
Counts
14 → 360
Calls
Call 1
Inputs
#<alt (/ v (* (+ t1 u) (- -1 (/ u t1))))>
#<alt (* (+ t1 u) (- -1 (/ u t1)))>
#<alt (+ t1 u)>
#<alt (- -1 (/ u t1))>
#<alt (/ v (neg u))>
#<alt (neg u)>
#<alt (/ -1 (/ t1 v))>
#<alt (/ t1 v)>
#<alt (* (/ v (neg u)) (/ t1 u))>
#<alt (/ t1 u)>
#<alt (* (/ -1 (* (+ t1 u) (+ t1 u))) (* t1 v))>
#<alt (/ -1 (* (+ t1 u) (+ t1 u)))>
#<alt (* (+ t1 u) (+ t1 u))>
#<alt (* t1 v)>
Outputs
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<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 (* -1 (/ (pow u 2) t1))>
#<alt (/ (+ (* -2 (* t1 u)) (* -1 (pow u 2))) t1)>
#<alt (/ (+ (* -1 (pow u 2)) (* t1 (+ (* -2 u) (* -1 t1)))) t1)>
#<alt (/ (+ (* -1 (pow u 2)) (* t1 (+ (* -2 u) (* -1 t1)))) t1)>
#<alt (* -1 t1)>
#<alt (* t1 (- (* -2 (/ u t1)) 1))>
#<alt (* t1 (- (+ (* -2 (/ u t1)) (* -1 (/ (pow u 2) (pow t1 2)))) 1))>
#<alt (* t1 (- (+ (* -2 (/ u t1)) (* -1 (/ (pow u 2) (pow t1 2)))) 1))>
#<alt (* -1 t1)>
#<alt (* -1 (* t1 (+ 1 (* 2 (/ u t1)))))>
#<alt (* -1 (* t1 (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))))>
#<alt (* -1 (* t1 (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))))>
#<alt (* -1 t1)>
#<alt (+ (* -2 u) (* -1 t1))>
#<alt (+ (* -1 t1) (* u (- (* -1 (/ u t1)) 2)))>
#<alt (+ (* -1 t1) (* u (- (* -1 (/ u t1)) 2)))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (* (pow u 2) (+ (/ 1 t1) (* 2 (/ 1 u)))))>
#<alt (* (pow u 2) (- (* -1 (/ t1 (pow u 2))) (+ (/ 1 t1) (* 2 (/ 1 u)))))>
#<alt (* (pow u 2) (- (* -1 (/ t1 (pow u 2))) (+ (/ 1 t1) (* 2 (/ 1 u)))))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (* (pow u 2) (+ (/ 1 t1) (* 2 (/ 1 u)))))>
#<alt (* (pow u 2) (- (* -1 (/ (+ 2 (/ t1 u)) u)) (/ 1 t1)))>
#<alt (* (pow u 2) (- (* -1 (/ (+ 2 (/ t1 u)) u)) (/ 1 t1)))>
#<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>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (/ u t1))>
#<alt (/ (- (* -1 t1) u) t1)>
#<alt (/ (- (* -1 t1) u) t1)>
#<alt (/ (- (* -1 t1) u) t1)>
#<alt -1>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt -1>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<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 (/ 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 (/ (* 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)))))))>
#<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) (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 (pow u 2))>
#<alt (- (* 2 (/ t1 (pow u 3))) (/ 1 (pow u 2)))>
#<alt (- (* t1 (+ (* -3 (/ t1 (pow u 4))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2)))>
#<alt (- (* t1 (+ (* t1 (- (* 4 (/ t1 (pow u 5))) (* 3 (/ 1 (pow u 4))))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2)))>
#<alt (/ -1 (pow t1 2))>
#<alt (/ (- (* 2 (/ u t1)) 1) (pow t1 2))>
#<alt (/ (- (* -1 (/ (+ (* -1 (pow u 2)) (* 4 (pow u 2))) (pow t1 2))) (+ 1 (* -2 (/ u t1)))) (pow t1 2))>
#<alt (/ (- (* -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))))))) (pow t1 2))>
#<alt (/ -1 (pow t1 2))>
#<alt (/ (- (* 2 (/ u t1)) 1) (pow t1 2))>
#<alt (/ (- (* -1 (/ (- (+ (* -1 (/ (pow u 2) t1)) (* 4 (/ (pow u 2) t1))) (* 2 u)) t1)) 1) (pow t1 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow u 3) t1)) (* 2 (/ (* u (+ (* -1 (pow u 2)) (* 4 (pow u 2)))) t1))) (+ (* -1 (pow u 2)) (* 4 (pow u 2)))) t1)) (* 2 u)) t1)) 1) (pow t1 2))>
#<alt (/ -1 (pow t1 2))>
#<alt (- (* 2 (/ u (pow t1 3))) (/ 1 (pow t1 2)))>
#<alt (- (* u (+ (* -3 (/ u (pow t1 4))) (* 2 (/ 1 (pow t1 3))))) (/ 1 (pow t1 2)))>
#<alt (- (* u (+ (* u (- (* 4 (/ u (pow t1 5))) (* 3 (/ 1 (pow t1 4))))) (* 2 (/ 1 (pow t1 3))))) (/ 1 (pow t1 2)))>
#<alt (/ -1 (pow u 2))>
#<alt (/ (- (* 2 (/ t1 u)) 1) (pow u 2))>
#<alt (/ (- (* -1 (/ (+ (* -1 (pow t1 2)) (* 4 (pow t1 2))) (pow u 2))) (+ 1 (* -2 (/ t1 u)))) (pow u 2))>
#<alt (/ (- (* -1 (/ (+ (* -2 (* t1 (+ (* -1 (pow t1 2)) (* 4 (pow t1 2))))) (* 2 (pow t1 3))) (pow u 3))) (+ 1 (+ (* -2 (/ t1 u)) (+ (* -1 (/ (pow t1 2) (pow u 2))) (* 4 (/ (pow t1 2) (pow u 2))))))) (pow u 2))>
#<alt (/ -1 (pow u 2))>
#<alt (/ (- (* 2 (/ t1 u)) 1) (pow u 2))>
#<alt (/ (- (* -1 (/ (- (+ (* -1 (/ (pow t1 2) u)) (* 4 (/ (pow t1 2) u))) (* 2 t1)) u)) 1) (pow u 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow t1 3) u)) (* 2 (/ (* t1 (+ (* -1 (pow t1 2)) (* 4 (pow t1 2)))) u))) (+ (* -1 (pow t1 2)) (* 4 (pow t1 2)))) u)) (* 2 t1)) u)) 1) (pow u 2))>
#<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))))>
#<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)>
Calls

90 calls:

TimeVariablePointExpression
2.0ms
v
@inf
(/ v (* (+ t1 u) (- -1 (/ u t1))))
1.0ms
v
@0
(/ v (* (+ t1 u) (- -1 (/ u t1))))
0.0ms
v
@-inf
(/ v (* (+ t1 u) (- -1 (/ u t1))))
0.0ms
u
@inf
(/ -1 (* (+ t1 u) (+ t1 u)))
0.0ms
t1
@-inf
(/ -1 (* (+ t1 u) (+ t1 u)))

rewrite303.0ms (2.8%)

Memory
-8.4MiB live, 620.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 228×*-lowering-*.f32
5 228×*-lowering-*.f64
4 742×accelerator-lowering-fma.f32
4 742×accelerator-lowering-fma.f64
4 356×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01979
112276
297876
0886176
Stop Event
iter limit
node limit
Counts
14 → 848
Calls
Call 1
Inputs
(/ v (* (+ t1 u) (- -1 (/ u t1))))
(* (+ t1 u) (- -1 (/ u t1)))
(+ t1 u)
(- -1 (/ u t1))
(/ v (neg u))
(neg u)
(/ -1 (/ t1 v))
(/ t1 v)
(* (/ v (neg u)) (/ t1 u))
(/ t1 u)
(* (/ -1 (* (+ t1 u) (+ t1 u))) (* t1 v))
(/ -1 (* (+ t1 u) (+ t1 u)))
(* (+ t1 u) (+ t1 u))
(* t1 v)
Outputs
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simplify461.0ms (4.3%)

Memory
-12.1MiB live, 812.0MiB allocated
Algorithm
egg-herbie
Rules
10 804×accelerator-lowering-fma.f32
10 804×accelerator-lowering-fma.f64
5 666×*-lowering-*.f32
5 666×*-lowering-*.f64
4 110×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04703516
114803374
249103290
087603179
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
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(/ (+ (* -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) (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 (pow u 2))
(- (* 2 (/ t1 (pow u 3))) (/ 1 (pow u 2)))
(- (* t1 (+ (* -3 (/ t1 (pow u 4))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2)))
(- (* t1 (+ (* t1 (- (* 4 (/ t1 (pow u 5))) (* 3 (/ 1 (pow u 4))))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2)))
(/ -1 (pow t1 2))
(/ (- (* 2 (/ u t1)) 1) (pow t1 2))
(/ (- (* -1 (/ (+ (* -1 (pow u 2)) (* 4 (pow u 2))) (pow t1 2))) (+ 1 (* -2 (/ u t1)))) (pow t1 2))
(/ (- (* -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))))))) (pow t1 2))
(/ -1 (pow t1 2))
(/ (- (* 2 (/ u t1)) 1) (pow t1 2))
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow u 2) t1)) (* 4 (/ (pow u 2) t1))) (* 2 u)) t1)) 1) (pow t1 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow u 3) t1)) (* 2 (/ (* u (+ (* -1 (pow u 2)) (* 4 (pow u 2)))) t1))) (+ (* -1 (pow u 2)) (* 4 (pow u 2)))) t1)) (* 2 u)) t1)) 1) (pow t1 2))
(/ -1 (pow t1 2))
(- (* 2 (/ u (pow t1 3))) (/ 1 (pow t1 2)))
(- (* u (+ (* -3 (/ u (pow t1 4))) (* 2 (/ 1 (pow t1 3))))) (/ 1 (pow t1 2)))
(- (* u (+ (* u (- (* 4 (/ u (pow t1 5))) (* 3 (/ 1 (pow t1 4))))) (* 2 (/ 1 (pow t1 3))))) (/ 1 (pow t1 2)))
(/ -1 (pow u 2))
(/ (- (* 2 (/ t1 u)) 1) (pow u 2))
(/ (- (* -1 (/ (+ (* -1 (pow t1 2)) (* 4 (pow t1 2))) (pow u 2))) (+ 1 (* -2 (/ t1 u)))) (pow u 2))
(/ (- (* -1 (/ (+ (* -2 (* t1 (+ (* -1 (pow t1 2)) (* 4 (pow t1 2))))) (* 2 (pow t1 3))) (pow u 3))) (+ 1 (+ (* -2 (/ t1 u)) (+ (* -1 (/ (pow t1 2) (pow u 2))) (* 4 (/ (pow t1 2) (pow u 2))))))) (pow u 2))
(/ -1 (pow u 2))
(/ (- (* 2 (/ t1 u)) 1) (pow u 2))
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow t1 2) u)) (* 4 (/ (pow t1 2) u))) (* 2 t1)) u)) 1) (pow u 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow t1 3) u)) (* 2 (/ (* t1 (+ (* -1 (pow t1 2)) (* 4 (pow t1 2)))) u))) (+ (* -1 (pow t1 2)) (* 4 (pow t1 2)))) u)) (* 2 t1)) u)) 1) (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))))
(* 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)
Outputs
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(/.f64 v (*.f64 (+.f64 u t1) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(/.f64 v (*.f64 (+.f64 u t1) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(/.f64 v (*.f64 (+.f64 u t1) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(/.f64 v (*.f64 (+.f64 u t1) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(/.f64 v (*.f64 (+.f64 u t1) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(/.f64 v (*.f64 (+.f64 u t1) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(/.f64 v (*.f64 (+.f64 u t1) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(/.f64 v (*.f64 (+.f64 u t1) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(/.f64 v (*.f64 (+.f64 u t1) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(/.f64 v (*.f64 (+.f64 u t1) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(/.f64 v (*.f64 (+.f64 u t1) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(/.f64 v (*.f64 (+.f64 u t1) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (/ (* t1 v) (pow u 2)))
(*.f64 v (/.f64 t1 (*.f64 u (neg.f64 u))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(*.f64 t1 (fma.f64 #s(literal 2 binary64) (*.f64 v (/.f64 t1 (*.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) (*.f64 (*.f64 u u) (*.f64 u u))) (/.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 (-.f64 (*.f64 t1 (fma.f64 t1 (fma.f64 (*.f64 t1 #s(literal -2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 v (*.f64 (*.f64 u u) (*.f64 u u))) u) (/.f64 v (pow.f64 u #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 (*.f64 u u) (*.f64 u u)))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 u (*.f64 u u))))) (/.f64 v (*.f64 u u))))
(* -1 (/ v t1))
(/.f64 v (neg.f64 t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 v u) t1) (neg.f64 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 (fma.f64 (*.f64 u u) (*.f64 (/.f64 v (*.f64 t1 t1)) #s(literal -4 binary64)) (-.f64 (fma.f64 v (*.f64 u (/.f64 u (*.f64 t1 t1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 v u) 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 #s(literal -2 binary64) (fma.f64 u (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64))) (*.f64 t1 (*.f64 t1 t1))) (/.f64 (*.f64 v (*.f64 u (*.f64 u u))) (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 (*.f64 u u) (*.f64 (/.f64 v (*.f64 t1 t1)) #s(literal -4 binary64)) (-.f64 (fma.f64 v (*.f64 u (/.f64 u (*.f64 t1 t1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 v u) t1))) v))) t1)
(* -1 (/ v t1))
(/.f64 v (neg.f64 t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 v u) t1) (neg.f64 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 #s(literal 3 binary64) (*.f64 v (*.f64 u u))) 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 (fma.f64 v (*.f64 u #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 v (*.f64 u u))) (/.f64 (fma.f64 v (*.f64 (*.f64 u (*.f64 u u)) #s(literal -2 binary64)) (*.f64 u (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v (*.f64 u u)))))) t1)) (neg.f64 t1))) t1)) (neg.f64 t1))
(* -1 (/ v t1))
(/.f64 v (neg.f64 t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 v u) t1) (neg.f64 v)) t1)
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(-.f64 (*.f64 u (fma.f64 u (/.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 t1 (*.f64 t1 t1))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 t1 t1)))) (/.f64 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 u (fma.f64 u (fma.f64 (*.f64 u #s(literal -2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 v (*.f64 t1 (*.f64 t1 t1))) t1) (/.f64 v (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1))) (/.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 t1 (*.f64 t1 t1)))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 t1 t1))) (/.f64 v (neg.f64 t1)))
(* -1 (/ (* t1 v) (pow u 2)))
(*.f64 v (/.f64 t1 (*.f64 u (neg.f64 u))))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 v (*.f64 t1 t1)) u)) (*.f64 v t1)) (*.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 (*.f64 t1 (*.f64 t1 t1)) (*.f64 (/.f64 v (*.f64 u u)) #s(literal -4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 v (*.f64 t1 t1)) u) (/.f64 (*.f64 v (*.f64 t1 (*.f64 t1 t1))) (*.f64 u u))) (*.f64 v 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 #s(literal -2 binary64) (fma.f64 t1 (/.f64 (*.f64 (*.f64 v (*.f64 t1 (*.f64 t1 t1))) #s(literal -3 binary64)) (*.f64 u (*.f64 u u))) (/.f64 (*.f64 v (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1)) (*.f64 u (*.f64 u u)))) (fma.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 (/.f64 v (*.f64 u u)) #s(literal -4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 v (*.f64 t1 t1)) u) (/.f64 (*.f64 v (*.f64 t1 (*.f64 t1 t1))) (*.f64 u u))) (*.f64 v t1)))) (*.f64 u u))
(* -1 (/ (* t1 v) (pow u 2)))
(*.f64 v (/.f64 t1 (*.f64 u (neg.f64 u))))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 v (*.f64 t1 t1)) u)) (*.f64 v t1)) (*.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 v t1 (/.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))
(/.f64 (-.f64 (/.f64 (+.f64 (/.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 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1)) (/.f64 v u) (*.f64 (*.f64 v (*.f64 t1 (*.f64 t1 t1))) #s(literal -3 binary64)))) u) (*.f64 v (*.f64 #s(literal 2 binary64) (*.f64 t1 t1)))) u) (*.f64 v t1)) (*.f64 u u))
(* -1 (/ (pow u 2) t1))
(/.f64 (*.f64 u (neg.f64 u)) t1)
(/ (+ (* -2 (* t1 u)) (* -1 (pow u 2))) t1)
(/.f64 (fma.f64 u (*.f64 t1 #s(literal -2 binary64)) (*.f64 u (neg.f64 u))) t1)
(/ (+ (* -1 (pow u 2)) (* t1 (+ (* -2 u) (* -1 t1)))) t1)
(/.f64 (-.f64 (*.f64 t1 (-.f64 (*.f64 u #s(literal -2 binary64)) t1)) (*.f64 u u)) t1)
(/ (+ (* -1 (pow u 2)) (* t1 (+ (* -2 u) (* -1 t1)))) t1)
(/.f64 (-.f64 (*.f64 t1 (-.f64 (*.f64 u #s(literal -2 binary64)) t1)) (*.f64 u u)) t1)
(* -1 t1)
(neg.f64 t1)
(* t1 (- (* -2 (/ u t1)) 1))
(*.f64 t1 (fma.f64 u (/.f64 #s(literal -2 binary64) t1) #s(literal -1 binary64)))
(* t1 (- (+ (* -2 (/ u t1)) (* -1 (/ (pow u 2) (pow t1 2)))) 1))
(fma.f64 t1 (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) t1) (neg.f64 t1))
(* t1 (- (+ (* -2 (/ u t1)) (* -1 (/ (pow u 2) (pow t1 2)))) 1))
(fma.f64 t1 (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) t1) (neg.f64 t1))
(* -1 t1)
(neg.f64 t1)
(* -1 (* t1 (+ 1 (* 2 (/ u t1)))))
(*.f64 t1 (fma.f64 u (/.f64 #s(literal -2 binary64) t1) #s(literal -1 binary64)))
(* -1 (* t1 (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))))
(fma.f64 t1 (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) t1) (neg.f64 t1))
(* -1 (* t1 (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))))
(fma.f64 t1 (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) t1) (neg.f64 t1))
(* -1 t1)
(neg.f64 t1)
(+ (* -2 u) (* -1 t1))
(-.f64 (*.f64 u #s(literal -2 binary64)) t1)
(+ (* -1 t1) (* u (- (* -1 (/ u t1)) 2)))
(fma.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1)) (neg.f64 t1))
(+ (* -1 t1) (* u (- (* -1 (/ u t1)) 2)))
(fma.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1)) (neg.f64 t1))
(* -1 (/ (pow u 2) t1))
(/.f64 (*.f64 u (neg.f64 u)) t1)
(* -1 (* (pow u 2) (+ (/ 1 t1) (* 2 (/ 1 u)))))
(neg.f64 (*.f64 u (fma.f64 u (/.f64 #s(literal 2 binary64) u) (/.f64 u t1))))
(* (pow u 2) (- (* -1 (/ t1 (pow u 2))) (+ (/ 1 t1) (* 2 (/ 1 u)))))
(*.f64 (*.f64 u u) (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) t1) (/.f64 #s(literal -2 binary64) u)) (/.f64 t1 (*.f64 u u))))
(* (pow u 2) (- (* -1 (/ t1 (pow u 2))) (+ (/ 1 t1) (* 2 (/ 1 u)))))
(*.f64 (*.f64 u u) (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) t1) (/.f64 #s(literal -2 binary64) u)) (/.f64 t1 (*.f64 u u))))
(* -1 (/ (pow u 2) t1))
(/.f64 (*.f64 u (neg.f64 u)) t1)
(* -1 (* (pow u 2) (+ (/ 1 t1) (* 2 (/ 1 u)))))
(neg.f64 (*.f64 u (fma.f64 u (/.f64 #s(literal 2 binary64) u) (/.f64 u t1))))
(* (pow u 2) (- (* -1 (/ (+ 2 (/ t1 u)) u)) (/ 1 t1)))
(*.f64 u (fma.f64 u (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 t1 u)) u) (/.f64 u (neg.f64 t1))))
(* (pow u 2) (- (* -1 (/ (+ 2 (/ t1 u)) u)) (/ 1 t1)))
(*.f64 u (fma.f64 u (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 t1 u)) u) (/.f64 u (neg.f64 t1))))
u
(+ t1 u)
(+.f64 u t1)
(+ t1 u)
(+.f64 u t1)
(+ t1 u)
(+.f64 u t1)
t1
(* t1 (+ 1 (/ u t1)))
(fma.f64 t1 (/.f64 u t1) t1)
(* t1 (+ 1 (/ u t1)))
(fma.f64 t1 (/.f64 u t1) t1)
(* t1 (+ 1 (/ u t1)))
(fma.f64 t1 (/.f64 u t1) t1)
t1
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(fma.f64 t1 (/.f64 u t1) t1)
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(fma.f64 t1 (/.f64 u t1) t1)
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(fma.f64 t1 (/.f64 u t1) t1)
t1
(+ t1 u)
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(/.f64 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 u t1) (+.f64 u t1))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 u t1) (+.f64 u t1))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 u t1) (+.f64 u t1))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 u t1) (+.f64 u t1))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 u t1) (+.f64 u t1))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 u t1) (+.f64 u t1))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 u t1) (+.f64 u t1))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 u t1) (+.f64 u t1))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 u t1) (+.f64 u t1))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 u t1) (+.f64 u t1))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 u t1) (+.f64 u t1))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (*.f64 v t1) (neg.f64 (*.f64 (+.f64 u t1) (+.f64 u t1))))
(/ -1 (pow u 2))
(/.f64 #s(literal -1 binary64) (*.f64 u u))
(- (* 2 (/ t1 (pow u 3))) (/ 1 (pow u 2)))
(/.f64 (fma.f64 t1 (/.f64 #s(literal 2 binary64) u) #s(literal -1 binary64)) (*.f64 u u))
(- (* t1 (+ (* -3 (/ t1 (pow u 4))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2)))
(fma.f64 t1 (/.f64 (*.f64 t1 #s(literal -3 binary64)) (*.f64 (*.f64 u u) (*.f64 u u))) (/.f64 (fma.f64 t1 (/.f64 #s(literal 2 binary64) u) #s(literal -1 binary64)) (*.f64 u u)))
(- (* t1 (+ (* t1 (- (* 4 (/ t1 (pow u 5))) (* 3 (/ 1 (pow u 4))))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2)))
(fma.f64 (*.f64 t1 t1) (fma.f64 #s(literal 4 binary64) (/.f64 t1 (pow.f64 u #s(literal 5 binary64))) (/.f64 #s(literal -3 binary64) (*.f64 (*.f64 u u) (*.f64 u u)))) (/.f64 (fma.f64 t1 (/.f64 #s(literal 2 binary64) u) #s(literal -1 binary64)) (*.f64 u u)))
(/ -1 (pow t1 2))
(/.f64 #s(literal -1 binary64) (*.f64 t1 t1))
(/ (- (* 2 (/ u t1)) 1) (pow t1 2))
(/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) (*.f64 t1 t1))
(/ (- (* -1 (/ (+ (* -1 (pow u 2)) (* 4 (pow u 2))) (pow t1 2))) (+ 1 (* -2 (/ u t1)))) (pow t1 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 u #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 u u) #s(literal -3 binary64)) t1)) t1)) (*.f64 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))))))) (pow t1 2))
(/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 u #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 u u) #s(literal -3 binary64)) t1)) t1)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 u (*.f64 (*.f64 u u) #s(literal 3 binary64))) (*.f64 u (*.f64 (*.f64 u u) #s(literal 2 binary64)))) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 t1 t1))
(/ -1 (pow t1 2))
(/.f64 #s(literal -1 binary64) (*.f64 t1 t1))
(/ (- (* 2 (/ u t1)) 1) (pow t1 2))
(/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) (*.f64 t1 t1))
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow u 2) t1)) (* 4 (/ (pow u 2) t1))) (* 2 u)) t1)) 1) (pow t1 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 u #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 u u) #s(literal -3 binary64)) t1)) t1)) (*.f64 t1 t1))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow u 3) t1)) (* 2 (/ (* u (+ (* -1 (pow u 2)) (* 4 (pow u 2)))) t1))) (+ (* -1 (pow u 2)) (* 4 (pow u 2)))) t1)) (* 2 u)) t1)) 1) (pow t1 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 u (*.f64 (*.f64 u u) #s(literal 3 binary64))) t1) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 u (*.f64 u u)) t1) (*.f64 (*.f64 u u) #s(literal -3 binary64)))) t1) (*.f64 u #s(literal 2 binary64))) t1)) (*.f64 t1 t1))
(/ -1 (pow t1 2))
(/.f64 #s(literal -1 binary64) (*.f64 t1 t1))
(- (* 2 (/ u (pow t1 3))) (/ 1 (pow t1 2)))
(/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) (*.f64 t1 t1))
(- (* u (+ (* -3 (/ u (pow t1 4))) (* 2 (/ 1 (pow t1 3))))) (/ 1 (pow t1 2)))
(fma.f64 u (*.f64 #s(literal -3 binary64) (/.f64 u (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1))) (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) (*.f64 t1 t1)))
(- (* u (+ (* u (- (* 4 (/ u (pow t1 5))) (* 3 (/ 1 (pow t1 4))))) (* 2 (/ 1 (pow t1 3))))) (/ 1 (pow t1 2)))
(fma.f64 (*.f64 u u) (fma.f64 #s(literal 4 binary64) (/.f64 u (pow.f64 t1 #s(literal 5 binary64))) (/.f64 #s(literal -3 binary64) (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1))) (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) (*.f64 t1 t1)))
(/ -1 (pow u 2))
(/.f64 #s(literal -1 binary64) (*.f64 u u))
(/ (- (* 2 (/ t1 u)) 1) (pow u 2))
(/.f64 (fma.f64 t1 (/.f64 #s(literal 2 binary64) u) #s(literal -1 binary64)) (*.f64 u u))
(/ (- (* -1 (/ (+ (* -1 (pow t1 2)) (* 4 (pow t1 2))) (pow u 2))) (+ 1 (* -2 (/ t1 u)))) (pow u 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 t1 t1) u) (*.f64 t1 #s(literal -2 binary64))) u)) (*.f64 u u))
(/ (- (* -1 (/ (+ (* -2 (* t1 (+ (* -1 (pow t1 2)) (* 4 (pow t1 2))))) (* 2 (pow t1 3))) (pow u 3))) (+ 1 (+ (* -2 (/ t1 u)) (+ (* -1 (/ (pow t1 2) (pow u 2))) (* 4 (/ (pow t1 2) (pow u 2))))))) (pow u 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 t1 t1) u) (*.f64 t1 #s(literal -2 binary64))) u)) (/.f64 (fma.f64 t1 (*.f64 #s(literal 2 binary64) (*.f64 t1 t1)) (*.f64 #s(literal -2 binary64) (*.f64 t1 (*.f64 #s(literal 3 binary64) (*.f64 t1 t1))))) (*.f64 u (*.f64 u u)))) (*.f64 u u))
(/ -1 (pow u 2))
(/.f64 #s(literal -1 binary64) (*.f64 u u))
(/ (- (* 2 (/ t1 u)) 1) (pow u 2))
(/.f64 (fma.f64 t1 (/.f64 #s(literal 2 binary64) u) #s(literal -1 binary64)) (*.f64 u u))
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow t1 2) u)) (* 4 (/ (pow t1 2) u))) (* 2 t1)) u)) 1) (pow u 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 t1 t1) u) (*.f64 t1 #s(literal -2 binary64))) u)) (*.f64 u u))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow t1 3) u)) (* 2 (/ (* t1 (+ (* -1 (pow t1 2)) (* 4 (pow t1 2)))) u))) (+ (* -1 (pow t1 2)) (* 4 (pow t1 2)))) u)) (* 2 t1)) u)) 1) (pow u 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 t1 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 t1 t1)) u) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 t1 (*.f64 t1 t1)) u) (*.f64 (*.f64 t1 t1) #s(literal -3 binary64)))) u) (*.f64 t1 #s(literal 2 binary64))) u)) (*.f64 u u))
(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 (fma.f64 t1 (/.f64 (*.f64 u #s(literal 2 binary64)) t1) t1))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(*.f64 t1 (fma.f64 t1 (fma.f64 u (/.f64 u (*.f64 t1 t1)) (/.f64 (*.f64 u #s(literal 2 binary64)) t1)) t1))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(*.f64 t1 (fma.f64 t1 (fma.f64 u (/.f64 u (*.f64 t1 t1)) (/.f64 (*.f64 u #s(literal 2 binary64)) t1)) t1))
(pow t1 2)
(*.f64 t1 t1)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(*.f64 t1 (fma.f64 t1 (/.f64 (*.f64 u #s(literal 2 binary64)) 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) (+ 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 u (fma.f64 u (fma.f64 t1 (/.f64 #s(literal 2 binary64) u) (*.f64 t1 (/.f64 t1 (*.f64 u u)))) u))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(*.f64 u (fma.f64 u (fma.f64 t1 (/.f64 #s(literal 2 binary64) u) (*.f64 t1 (/.f64 t1 (*.f64 u u)))) u))
(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 (*.f64 u u) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t1 #s(literal -2 binary64) (/.f64 (*.f64 t1 (neg.f64 t1)) u)) u)))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(*.f64 (*.f64 u u) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t1 #s(literal -2 binary64) (/.f64 (*.f64 t1 (neg.f64 t1)) u)) u)))
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)
(* t1 v)
(*.f64 v t1)

eval263.0ms (2.5%)

Memory
9.9MiB live, 425.4MiB allocated
Compiler

Compiled 27 750 to 3 158 computations (88.6% saved)

prune174.0ms (1.6%)

Memory
24.9MiB live, 509.7MiB allocated
Pruning

23 alts after pruning (12 fresh and 11 done)

PrunedKeptTotal
New1 45851 463
Fresh3710
Picked055
Done167
Total1 462231 485
Accuracy
100.0%
Counts
1 485 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(/.f64 (/.f64 (*.f64 v t1) u) (neg.f64 (+.f64 t1 u)))
49.3%
(/.f64 (/.f64 (*.f64 v t1) u) (neg.f64 u))
53.7%
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 u))
44.6%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
53.4%
(/.f64 (neg.f64 v) t1)
59.1%
(/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
94.4%
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
48.7%
(/.f64 v (*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
58.7%
(/.f64 v (neg.f64 (+.f64 t1 u)))
13.9%
(/.f64 v (neg.f64 u))
14.4%
(/.f64 #s(literal -1 binary64) (/.f64 u v))
53.3%
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
48.8%
(*.f64 (/.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) u) v)
49.3%
(*.f64 (/.f64 (*.f64 v t1) u) (/.f64 #s(literal -1 binary64) u))
98.0%
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
76.6%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
45.4%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
44.9%
(*.f64 (/.f64 (neg.f64 t1) (*.f64 u u)) v)
52.6%
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
73.1%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
13.9%
(*.f64 (/.f64 #s(literal -1 binary64) u) v)
53.2%
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
45.9%
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
Compiler

Compiled 572 to 261 computations (54.4% saved)

regimes86.0ms (0.8%)

Memory
-23.4MiB live, 93.8MiB allocated
Counts
35 → 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 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(*.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 (/.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 t1 (fma.f64 u #s(literal 2 binary64) t1))) v)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 u))
(/.f64 (/.f64 (*.f64 v t1) u) (neg.f64 u))
(/.f64 v (*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
(*.f64 (/.f64 (*.f64 v t1) u) (/.f64 #s(literal -1 binary64) u))
(*.f64 (/.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) u) v)
(/.f64 (neg.f64 v) (*.f64 u (/.f64 (+.f64 t1 u) t1)))
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 (+.f64 t1 u)))
(/.f64 (/.f64 (*.f64 t1 v) u) (neg.f64 (+.f64 t1 u)))
(/.f64 (/.f64 (*.f64 v t1) u) (neg.f64 (+.f64 t1 u)))
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u)))
(/.f64 (/.f64 t1 (neg.f64 u)) (/.f64 u v))
(/.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 (neg.f64 (/.f64 (+.f64 t1 u) t1)) (+.f64 t1 u)))
(/.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (/.f64 (+.f64 t1 u) v))
(/.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (/.f64 (+.f64 t1 u) v))
Outputs
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u)))
Calls

4 calls:

39.0ms
u
25.0ms
t1
10.0ms
v
10.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Results
AccuracySegmentsBranch
99.0%1u
99.0%1v
99.0%1t1
99.0%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
7.2MiB live, 100.8MiB allocated
Counts
30 → 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 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(*.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 (/.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 t1 (fma.f64 u #s(literal 2 binary64) t1))) v)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 u))
(/.f64 (/.f64 (*.f64 v t1) u) (neg.f64 u))
(/.f64 v (*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
(*.f64 (/.f64 (*.f64 v t1) u) (/.f64 #s(literal -1 binary64) u))
(*.f64 (/.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) u) v)
(/.f64 (neg.f64 v) (*.f64 u (/.f64 (+.f64 t1 u) t1)))
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 (+.f64 t1 u)))
(/.f64 (/.f64 (*.f64 t1 v) u) (neg.f64 (+.f64 t1 u)))
(/.f64 (/.f64 (*.f64 v t1) u) (neg.f64 (+.f64 t1 u)))
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
Outputs
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
Calls

4 calls:

13.0ms
v
10.0ms
t1
9.0ms
u
8.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Results
AccuracySegmentsBranch
98.0%1u
98.0%1v
98.0%1t1
98.0%1(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes63.0ms (0.6%)

Memory
-2.2MiB live, 75.7MiB allocated
Counts
29 → 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 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(*.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 (/.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 t1 (fma.f64 u #s(literal 2 binary64) t1))) v)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 u))
(/.f64 (/.f64 (*.f64 v t1) u) (neg.f64 u))
(/.f64 v (*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
(*.f64 (/.f64 (*.f64 v t1) u) (/.f64 #s(literal -1 binary64) u))
(*.f64 (/.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) u) v)
(/.f64 (neg.f64 v) (*.f64 u (/.f64 (+.f64 t1 u) t1)))
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 (+.f64 t1 u)))
(/.f64 (/.f64 (*.f64 t1 v) u) (neg.f64 (+.f64 t1 u)))
(/.f64 (/.f64 (*.f64 v t1) u) (neg.f64 (+.f64 t1 u)))
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))
Outputs
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 u))
Calls

4 calls:

36.0ms
t1
10.0ms
v
8.0ms
u
7.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Results
AccuracySegmentsBranch
96.2%2u
94.4%1v
94.4%1(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
94.4%1t1
Compiler

Compiled 27 to 17 computations (37% saved)

regimes37.0ms (0.3%)

Memory
9.5MiB live, 89.0MiB allocated
Counts
27 → 5
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 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(*.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 (/.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 t1 (fma.f64 u #s(literal 2 binary64) t1))) v)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 u))
(/.f64 (/.f64 (*.f64 v t1) u) (neg.f64 u))
(/.f64 v (*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
(*.f64 (/.f64 (*.f64 v t1) u) (/.f64 #s(literal -1 binary64) u))
(*.f64 (/.f64 (/.f64 t1 (-.f64 (neg.f64 u) t1)) u) v)
(/.f64 (neg.f64 v) (*.f64 u (/.f64 (+.f64 t1 u) t1)))
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 (+.f64 t1 u)))
(/.f64 (/.f64 (*.f64 t1 v) u) (neg.f64 (+.f64 t1 u)))
(/.f64 (/.f64 (*.f64 v t1) u) (neg.f64 (+.f64 t1 u)))
Outputs
(/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 u))
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
Calls

4 calls:

11.0ms
t1
9.0ms
u
8.0ms
v
7.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Results
AccuracySegmentsBranch
86.4%2(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
93.4%5t1
76.6%1v
86.9%5u
Compiler

Compiled 27 to 17 computations (37% saved)

regimes8.0ms (0.1%)

Memory
-18.6MiB live, 19.8MiB allocated
Counts
17 → 5
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 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(*.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 (/.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 t1 (fma.f64 u #s(literal 2 binary64) t1))) v)
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Outputs
(/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 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 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
Calls

1 calls:

7.0ms
t1
Results
AccuracySegmentsBranch
92.6%5t1
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory
-6.1MiB live, 32.9MiB allocated
Counts
15 → 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 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(*.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 (/.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 t1 (fma.f64 u #s(literal 2 binary64) t1))) v)
Outputs
(/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
(/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
Calls

2 calls:

5.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
5.0ms
t1
Results
AccuracySegmentsBranch
70.5%3(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
85.9%3t1
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes10.0ms (0.1%)

Memory
28.2MiB live, 28.2MiB 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 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(*.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 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) u)) v)
Outputs
(/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))
(/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
Calls

2 calls:

5.0ms
t1
4.0ms
u
Results
AccuracySegmentsBranch
71.7%3u
82.4%3t1
Compiler

Compiled 8 to 6 computations (25% saved)

regimes16.0ms (0.2%)

Memory
-29.8MiB live, 52.6MiB 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 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
Outputs
(/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
Calls

4 calls:

5.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
4.0ms
t1
3.0ms
v
3.0ms
u
Results
AccuracySegmentsBranch
59.1%1(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
59.1%1u
59.1%1v
59.1%1t1
Compiler

Compiled 27 to 17 computations (37% saved)

regimes11.0ms (0.1%)

Memory
-1.7MiB live, 37.4MiB allocated
Counts
5 → 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)))
Outputs
(/.f64 v (neg.f64 (+.f64 t1 u)))
Calls

4 calls:

3.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
2.0ms
t1
2.0ms
v
2.0ms
u
Results
AccuracySegmentsBranch
58.7%1(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
58.7%1t1
58.7%1u
58.7%1v
Compiler

Compiled 27 to 17 computations (37% saved)

regimes9.0ms (0.1%)

Memory
27.2MiB live, 27.2MiB 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:

2.0ms
t1
2.0ms
v
2.0ms
u
2.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Results
AccuracySegmentsBranch
58.0%3u
53.4%1(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
53.4%1v
53.4%1t1
Compiler

Compiled 27 to 17 computations (37% saved)

regimes7.0ms (0.1%)

Memory
-18.0MiB live, 20.0MiB 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:

2.0ms
t1
1.0ms
v
1.0ms
u
1.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Results
AccuracySegmentsBranch
13.9%1v
13.9%1(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
13.9%1t1
13.9%1u
Compiler

Compiled 27 to 17 computations (37% saved)

bsearch13.0ms (0.1%)

Memory
-7.0MiB live, 30.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
7.905034274476343e+208
2.4833192699689518e+213
Samples
7.0ms128×0valid
Compiler

Compiled 234 to 158 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (26.8% of total)
ival-add: 1.0ms (26.8% of total)
ival-mult: 1.0ms (26.8% of total)
ival-neg: 1.0ms (26.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch59.0ms (0.6%)

Memory
30.6MiB live, 147.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.5460418443010727e+64
3.2603370875784527e+72
13.0ms
1.4878517177631648e-171
2.2488672715092328e-163
16.0ms
-4.896711780655742e-142
-1.411349108114326e-150
12.0ms
-5.991806027163555e+112
-2.8123867477560523e+103
Samples
37.0ms576×0valid
Compiler

Compiled 1 008 to 626 computations (37.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 9.0ms (45.5% of total)
ival-div: 5.0ms (25.3% of total)
ival-add: 3.0ms (15.2% of total)
ival-neg: 3.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch62.0ms (0.6%)

Memory
-3.7MiB live, 157.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.5460418443010727e+64
3.2603370875784527e+72
13.0ms
1.4878517177631648e-171
2.2488672715092328e-163
17.0ms
-7.636299750338314e-180
-2.2926219231631408e-181
14.0ms
-5.991806027163555e+112
-2.8123867477560523e+103
Samples
41.0ms544×0valid
Compiler

Compiled 952 to 592 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-add: 11.0ms (43.7% of total)
ival-mult: 7.0ms (27.8% of total)
ival-div: 5.0ms (19.8% of total)
ival-neg: 3.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
2.9MiB live, 78.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
7.600852412456304e-81
2.688416258086278e-79
12.0ms
-2.678482295265194e-63
-5.298488881026048e-65
Samples
19.0ms224×0valid
Compiler

Compiled 340 to 238 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (44.6% of total)
ival-div: 1.0ms (14.9% of total)
ival-add: 1.0ms (14.9% of total)
ival-neg: 1.0ms (14.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
-4.7MiB live, 72.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
7.600852412456304e-81
2.688416258086278e-79
11.0ms
-2.678482295265194e-63
-5.298488881026048e-65
Samples
13.0ms224×0valid
Compiler

Compiled 340 to 238 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (50.5% of total)
ival-div: 1.0ms (12.6% of total)
ival-add: 1.0ms (12.6% of total)
ival-neg: 1.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
5.3MiB live, 85.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7.905034274476343e+208
2.4833192699689518e+213
13.0ms
-1.2321660179492297e+200
-7.911211078549359e+193
Samples
20.0ms272×0valid
Compiler

Compiled 290 to 218 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (54.4% of total)
ival-div: 2.0ms (21.8% of total)
ival-add: 1.0ms (10.9% of total)
ival-neg: 1.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Memory
-18.4MiB live, 58.8MiB allocated
Algorithm
egg-herbie
Rules
70×*-commutative_binary64
52×neg-sub0_binary64
52×neg-mul-1_binary64
50×+-commutative_binary64
48×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079253
1123253
2175253
3239253
4275253
5288253
6291253
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u)))
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
(if (<=.f64 u #s(literal 4799999999999999766944635423982304355287600241742894749869491669501668512604763397894522965979810108047691453775009458349859708576967530376032047260080613297768018726161907970955679837623110010903041865162948608 binary64)) (/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))) (/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 u)))
(if (<=.f64 t1 #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1)) (if (<=.f64 t1 #s(literal -6265367306832637/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) (if (<=.f64 t1 #s(literal 7131979884014207/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) (/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 u)) (if (<=.f64 t1 #s(literal 3200000000000000134020881805476665468772588373249082506058968677782388736 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))))))
(if (<=.f64 t1 #s(literal -55000000000000002564557515857404432250768441766300070517500999809018073921694849937349977069840049640561014996992 binary64)) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1)) (if (<=.f64 t1 #s(literal -7591901187723333/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) (if (<=.f64 t1 #s(literal 6483618076376551/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u)) (if (<=.f64 t1 #s(literal 3200000000000000134020881805476665468772588373249082506058968677782388736 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))))))
(if (<=.f64 t1 #s(literal -3983247869763677/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1)) (if (<=.f64 t1 #s(literal 7742953005213299/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u)) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))))
(if (<=.f64 t1 #s(literal -2408475456136177/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1)) (if (<=.f64 t1 #s(literal 8410448953938583/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u)))) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))))
(/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(/.f64 v (neg.f64 (+.f64 t1 u)))
(if (<=.f64 u #s(literal -83999999999999999889945302017530831816661516676706828124998803214163014725319836966791789253971748825723388381231363358728831190681650530033473091864555947388788106757026818802916272695077240832 binary64)) (/.f64 v (neg.f64 u)) (if (<=.f64 u #s(literal 95999999999999994608902209660094852123164547922811283014473272230263781359424465094006432566207820320007779264720765202414424639764245437810448189781542186234934563367683889298794448854819808204800966543802368 binary64)) (/.f64 (neg.f64 v) t1) (/.f64 v (neg.f64 u))))
(/.f64 v (neg.f64 u))
Outputs
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u)))
(/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (-.f64 (neg.f64 u) t1))
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
(*.f64 (neg.f64 (/.f64 v (+.f64 t1 u))) (/.f64 t1 (+.f64 t1 u)))
(if (<=.f64 u #s(literal 4799999999999999766944635423982304355287600241742894749869491669501668512604763397894522965979810108047691453775009458349859708576967530376032047260080613297768018726161907970955679837623110010903041865162948608 binary64)) (/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))) (/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 u)))
(if (<=.f64 u #s(literal 4799999999999999766944635423982304355287600241742894749869491669501668512604763397894522965979810108047691453775009458349859708576967530376032047260080613297768018726161907970955679837623110010903041865162948608 binary64)) (/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))) (neg.f64 (/.f64 (*.f64 t1 (/.f64 v u)) u)))
(if (<=.f64 t1 #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1)) (if (<=.f64 t1 #s(literal -6265367306832637/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) (if (<=.f64 t1 #s(literal 7131979884014207/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) (/.f64 (*.f64 (/.f64 v u) t1) (neg.f64 u)) (if (<=.f64 t1 #s(literal 3200000000000000134020881805476665468772588373249082506058968677782388736 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))))))
(if (<=.f64 t1 #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1)) (if (<=.f64 t1 #s(literal -6265367306832637/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (*.f64 v (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (if (<=.f64 t1 #s(literal 7131979884014207/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) (neg.f64 (/.f64 (*.f64 t1 (/.f64 v u)) u)) (if (<=.f64 t1 #s(literal 3200000000000000134020881805476665468772588373249082506058968677782388736 binary64)) (*.f64 v (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))))))
(if (<=.f64 t1 #s(literal -55000000000000002564557515857404432250768441766300070517500999809018073921694849937349977069840049640561014996992 binary64)) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1)) (if (<=.f64 t1 #s(literal -7591901187723333/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) (if (<=.f64 t1 #s(literal 6483618076376551/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u)) (if (<=.f64 t1 #s(literal 3200000000000000134020881805476665468772588373249082506058968677782388736 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))))))
(if (<=.f64 t1 #s(literal -55000000000000002564557515857404432250768441766300070517500999809018073921694849937349977069840049640561014996992 binary64)) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1)) (if (<=.f64 t1 #s(literal -7591901187723333/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312 binary64)) (*.f64 v (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (if (<=.f64 t1 #s(literal 6483618076376551/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (*.f64 (/.f64 v u) (/.f64 t1 (neg.f64 u))) (if (<=.f64 t1 #s(literal 3200000000000000134020881805476665468772588373249082506058968677782388736 binary64)) (*.f64 v (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))))))
(if (<=.f64 t1 #s(literal -3983247869763677/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1)) (if (<=.f64 t1 #s(literal 7742953005213299/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u)) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))))
(if (<=.f64 t1 #s(literal -3983247869763677/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1)) (if (<=.f64 t1 #s(literal 7742953005213299/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (*.f64 (/.f64 v u) (/.f64 t1 (neg.f64 u))) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))))
(if (<=.f64 t1 #s(literal -2408475456136177/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1)) (if (<=.f64 t1 #s(literal 8410448953938583/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u)))) (/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))))
(/.f64 v (-.f64 (*.f64 u #s(literal -2 binary64)) t1))
(/.f64 v (neg.f64 (+.f64 t1 u)))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(if (<=.f64 u #s(literal -83999999999999999889945302017530831816661516676706828124998803214163014725319836966791789253971748825723388381231363358728831190681650530033473091864555947388788106757026818802916272695077240832 binary64)) (/.f64 v (neg.f64 u)) (if (<=.f64 u #s(literal 95999999999999994608902209660094852123164547922811283014473272230263781359424465094006432566207820320007779264720765202414424639764245437810448189781542186234934563367683889298794448854819808204800966543802368 binary64)) (/.f64 (neg.f64 v) t1) (/.f64 v (neg.f64 u))))
(if (<=.f64 u #s(literal -83999999999999999889945302017530831816661516676706828124998803214163014725319836966791789253971748825723388381231363358728831190681650530033473091864555947388788106757026818802916272695077240832 binary64)) (neg.f64 (/.f64 v u)) (if (<=.f64 u #s(literal 95999999999999994608902209660094852123164547922811283014473272230263781359424465094006432566207820320007779264720765202414424639764245437810448189781542186234934563367683889298794448854819808204800966543802368 binary64)) (/.f64 v (neg.f64 t1)) (neg.f64 (/.f64 v u))))
(/.f64 v (neg.f64 u))
(neg.f64 (/.f64 v u))

soundness1.7s (15.6%)

Memory
-7.4MiB live, 1 123.8MiB allocated
Rules
17 384×accelerator-lowering-fma.f32
17 384×accelerator-lowering-fma.f64
10 938×accelerator-lowering-fma.f32
10 938×accelerator-lowering-fma.f64
10 804×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251167
16901110
223001022
372921018
08297976
04703516
114803374
249103290
087603179
024113
1144109
21116108
08443106
023102
1122100
2929100
08533100
05424283
116864102
249673993
084533907
0821
15221
239121
3509121
0838821
06305002
120014802
261914729
082804502
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 789 to 389 computations (50.7% saved)

preprocess67.0ms (0.6%)

Memory
28.6MiB live, 184.5MiB allocated
Remove

(negabs v)

Compiler

Compiled 722 to 262 computations (63.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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