Rosa's DopplerBench

Time bar (total: 10.7s)

analyze118.0ms (1.1%)

Algorithm
1×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 16 to 9 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 22.0ms (54.8% of total)
ival-neg: 7.0ms (17.4% of total)
ival-add: 5.0ms (12.5% of total)
ival-div: 4.0ms (10% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

sample910.0ms (8.5%)

Results
669.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 328.0ms
ival-mult: 153.0ms (46.6% of total)
ival-div: 62.0ms (18.9% of total)
ival-add: 51.0ms (15.5% of total)
ival-neg: 51.0ms (15.5% of total)
const: 8.0ms (2.4% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess175.0ms (1.6%)

Algorithm
2×egg-herbie
Rules
2250×fnmadd-define
2210×fmsub-define
1992×fma-define
1968×sum4-define
1890×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03589
119187
270187
3266587
089
1309
2799
32479
44359
57869
615419
736989
855179
080039
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
Outputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.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)) (square (+ t1 u)))
(/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u))))
(/ (* t1 (neg v)) (square (- t1 u)))
(/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u)))
(/ (* t1 v) (square (+ t1 u)))
(/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u)))
(/ (* t1 v) (square (- t1 u)))
(neg (/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u)))))
(/ (* t1 v) (square (- t1 u)))
(neg (/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u))))
(/ (* t1 (neg v)) (square (+ t1 u)))
(neg (/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u))))
(/ (* t1 (neg v)) (square (- t1 u)))
(/ (* (neg t1) u) (* (+ t1 v) (+ t1 v)))
(* t1 (/ u (neg (square (+ t1 v)))))
(/ (* (neg u) v) (* (+ u t1) (+ u t1)))
(/ (* v (neg u)) (square (+ t1 u)))
(/ (* (neg v) t1) (* (+ v u) (+ v u)))
(/ (* t1 (neg v)) (square (+ v u)))
Symmetry

(negabs v)

explain88.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
721(-4.0410567915832805e+113 6.302202125580713e-38 -1.5144453679972959e+286)3(5.608124548682235e-257 3.9448163081396163e+99 -8.251665337696633e-160)(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
00-0-u
00-0-(+.f64 t1 u)
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-t1
Results
59.0ms512×0valid
Compiler

Compiled 85 to 26 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (45.2% of total)
ival-div: 4.0ms (22.6% of total)
ival-add: 3.0ms (17% of total)
ival-neg: 3.0ms (17% of total)
const: 1.0ms (5.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 9 computations (43.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.0%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify172.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 t1 u)
✓cost-diff0
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
✓cost-diff0
(*.f64 (neg.f64 t1) v)
✓cost-diff0
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Rules
2250×fnmadd-define
2210×fmsub-define
1992×fma-define
1890×fma-lowering-fma.f32
1890×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
13025
27925
324725
443525
578625
6154125
7369825
8551725
0800325
Stop Event
1×iter limit
1×node limit
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 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* (neg t1) v)
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(neg t1)
(-.f64 #s(literal 0 binary64) t1)
t1
v
(* (+ t1 u) (+ t1 u))
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
(+ t1 u)
(+.f64 t1 u)
u

localize55.0ms (0.5%)

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))
✓accuracy75.3%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Results
39.0ms256×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (45.2% of total)
ival-div: 2.0ms (22.6% of total)
ival-add: 1.0ms (11.3% of total)
ival-neg: 1.0ms (11.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
5 → 120
Calls
Call 1
Inputs
#<alt (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))>
#<alt (* (neg t1) v)>
#<alt (* (+ t1 u) (+ t1 u))>
#<alt (+ t1 u)>
#<alt (neg t1)>
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 (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 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 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)>
Calls

30 calls:

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

rewrite314.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3396×*-lowering-*.f32
3396×*-lowering-*.f64
2820×/-lowering-/.f32
2820×/-lowering-/.f64
2604×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
15322
241322
3545222
0855022
Stop Event
1×iter limit
1×node limit
Counts
5 → 444
Calls
Call 1
Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(* (neg t1) v)
(* (+ t1 u) (+ t1 u))
(+ t1 u)
(neg t1)
Outputs
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(+.f64 (*.f64 (neg.f64 (/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))) (*.f64 t1 t1)) (*.f64 (neg.f64 (/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))) (*.f64 u (-.f64 u t1))))
(+.f64 (*.f64 (neg.f64 (/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))) (*.f64 u (-.f64 u t1))) (*.f64 (neg.f64 (/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))) (*.f64 t1 t1)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) (-.f64 (*.f64 t1 t1) (*.f64 u u))) t1) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) (-.f64 (*.f64 t1 t1) (*.f64 u u))) (-.f64 #s(literal 0 binary64) u)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(+.f64 (*.f64 (*.f64 t1 t1) (neg.f64 (/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))))) (*.f64 (*.f64 u (-.f64 u t1)) (neg.f64 (/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))))))
(+.f64 (*.f64 (*.f64 u (-.f64 u t1)) (neg.f64 (/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))))) (*.f64 (*.f64 t1 t1) (neg.f64 (/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))))))
(+.f64 (*.f64 t1 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) (-.f64 (*.f64 t1 t1) (*.f64 u u)))) (*.f64 (-.f64 #s(literal 0 binary64) u) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) (-.f64 (*.f64 t1 t1) (*.f64 u u)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (*.f64 t1 (/.f64 v (+.f64 t1 u))))) #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))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(fma.f64 t1 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) (-.f64 (*.f64 t1 t1) (*.f64 u u))) (*.f64 (-.f64 #s(literal 0 binary64) u) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) (-.f64 (*.f64 t1 t1) (*.f64 u u)))))
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(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 t1 t1) (*.f64 u u))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 t1 u))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1)))) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) (-.f64 (*.f64 t1 t1) (*.f64 u u)))
(*.f64 (-.f64 (*.f64 u u) (*.f64 t1 t1)) (/.f64 #s(literal 1 binary64) (-.f64 u t1)))
(*.f64 (pow.f64 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 t1 t1) (*.f64 u u)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 t1 u) #s(literal 1/2 binary64)) (pow.f64 (+.f64 t1 u) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 t1 t1) (*.f64 u u)) (-.f64 (*.f64 t1 t1) (*.f64 u u))) (+.f64 t1 u))
(*.f64 (/.f64 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))) (+.f64 (*.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 u (*.f64 (-.f64 u t1) (*.f64 u (-.f64 u t1))))))) (+.f64 (*.f64 t1 (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (-.f64 u t1)) (-.f64 (*.f64 u (-.f64 u t1)) (*.f64 t1 t1)))))
(*.f64 (/.f64 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))) (*.f64 (+.f64 (*.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 (*.f64 t1 t1) (*.f64 u u)) (-.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))) (+.f64 (*.f64 t1 t1) (*.f64 u (+.f64 t1 u))))
(+.f64 (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t1))
(-.f64 #s(literal 0 binary64) t1)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t1 t1)) (/.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 t1 t1)))
(-.f64 (/.f64 #s(literal 0 binary64) t1) (/.f64 (*.f64 t1 t1) t1))
(fma.f64 t1 #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) t1 #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (*.f64 t1 t1))) (/.f64 #s(literal 1 binary64) (*.f64 t1 t1)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)) (/.f64 #s(literal 1 binary64) t1) #s(literal 0 binary64))
(neg.f64 t1)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t1 t1) (-.f64 #s(literal 0 binary64) (*.f64 t1 (*.f64 t1 t1)))))
(/.f64 #s(literal 1 binary64) (/.f64 t1 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (*.f64 t1 t1))) (*.f64 t1 t1))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)) t1)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (*.f64 t1 t1)))) (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1))) (-.f64 #s(literal 0 binary64) t1))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) t1) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) t1) (-.f64 #s(literal 0 binary64) t1)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t1)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) t1) (-.f64 #s(literal 0 binary64) t1))) t1)
(*.f64 t1 #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) t1)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (*.f64 t1 t1))) (/.f64 #s(literal 1 binary64) (*.f64 t1 t1)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)) (/.f64 #s(literal 1 binary64) t1))

simplify275.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
3938×*-lowering-*.f32
3938×*-lowering-*.f64
3722×+-lowering-+.f64
3722×+-lowering-+.f32
2480×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02371240
17931097
228711034
082931034
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
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))
(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))))
u
(+ t1 u)
(+ t1 u)
(+ t1 u)
t1
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
t1
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
t1
(+ t1 u)
(+ t1 u)
(+ t1 u)
u
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
u
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
Outputs
(* -1 (/ (* t1 v) (pow u 2)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) 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 (-.f64 (*.f64 t1 (+.f64 (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 u (*.f64 u u))) (/.f64 (*.f64 t1 (*.f64 #s(literal -3 binary64) v)) (pow.f64 u #s(literal 4 binary64))))) (/.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 (+.f64 (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 u (*.f64 u u))) (*.f64 t1 (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) v) (pow.f64 u #s(literal 4 binary64))) (*.f64 t1 (+.f64 (/.f64 (*.f64 v #s(literal -2 binary64)) (pow.f64 u #s(literal 5 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 6 binary64) v) (pow.f64 u #s(literal 4 binary64))) u))))))) (/.f64 v (*.f64 u u))))
(* -1 (/ v t1))
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) 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 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) (-.f64 v (/.f64 (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64))) 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 (+.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) (-.f64 v (/.f64 (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64))) t1) t1))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 t1 t1)) (*.f64 u (+.f64 (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64))) t1) (/.f64 (*.f64 v (*.f64 u u)) t1))))) t1)
(* -1 (/ v t1))
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) 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 (+.f64 (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64))) t1) (*.f64 v (*.f64 u #s(literal 2 binary64)))) t1)) (-.f64 #s(literal 0 binary64) 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 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 u (+.f64 (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64))) t1) (/.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 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v t1))
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) v) t1)
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(+.f64 (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64))) (*.f64 t1 (*.f64 t1 t1))) (/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) 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))))))))
(+.f64 (*.f64 (*.f64 u u) (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 t1 (*.f64 t1 t1))) (*.f64 u (+.f64 (/.f64 (*.f64 v #s(literal -2 binary64)) (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1)) (/.f64 (/.f64 (*.f64 #s(literal 6 binary64) v) (*.f64 t1 (*.f64 t1 t1))) t1))))) (/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) v) t1))
(* -1 (/ (* t1 v) (pow u 2)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) 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))
(/ (+ (* -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 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 t1 (*.f64 t1 v)) u)) (*.f64 t1 v)) (*.f64 (*.f64 #s(literal -3 binary64) v) (/.f64 (*.f64 t1 (/.f64 (*.f64 t1 t1) u)) u))) (*.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 (+.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 t1 (*.f64 t1 v)) u)) (*.f64 t1 v)) (*.f64 (*.f64 #s(literal -3 binary64) v) (/.f64 (*.f64 t1 (/.f64 (*.f64 t1 t1) u)) u))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 u u)) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 t1 (*.f64 t1 t1))) (/.f64 t1 u)) (*.f64 (*.f64 (*.f64 t1 (*.f64 t1 t1)) t1) (/.f64 v u))))) (*.f64 u u))
(* -1 (/ (* t1 v) (pow u 2)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) 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))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 v (*.f64 #s(literal -2 binary64) (*.f64 t1 t1))) (*.f64 #s(literal 3 binary64) (*.f64 v (*.f64 t1 (/.f64 (*.f64 t1 t1) u))))) (-.f64 #s(literal 0 binary64) u)) (*.f64 t1 v)) (*.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))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (/.f64 (-.f64 (*.f64 v (*.f64 #s(literal -2 binary64) (*.f64 t1 t1))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (+.f64 (*.f64 t1 (*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 t1 (*.f64 t1 (*.f64 t1 (*.f64 t1 v))))) (/.f64 #s(literal 2 binary64) u))) u)) u)) (*.f64 u u))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(pow u 2)
(*.f64 u u)
(+ (* 2 (* t1 u)) (pow u 2))
(*.f64 u (+.f64 u (*.f64 t1 #s(literal 2 binary64))))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(+.f64 (*.f64 u u) (*.f64 t1 (+.f64 t1 (*.f64 u #s(literal 2 binary64)))))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(+.f64 (*.f64 u u) (*.f64 t1 (+.f64 t1 (*.f64 u #s(literal 2 binary64)))))
(pow t1 2)
(*.f64 t1 t1)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(*.f64 (*.f64 t1 t1) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 u #s(literal 2 binary64)) t1)))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(*.f64 (*.f64 t1 t1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 u t1) (+.f64 #s(literal 2 binary64) (/.f64 u t1)))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(*.f64 (*.f64 t1 t1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 u t1) (+.f64 #s(literal 2 binary64) (/.f64 u t1)))))
(pow t1 2)
(*.f64 t1 t1)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(*.f64 (*.f64 t1 t1) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 u #s(literal 2 binary64)) t1)))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(*.f64 (*.f64 t1 t1) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) t1)))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(*.f64 (*.f64 t1 t1) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) t1)))
(pow t1 2)
(*.f64 t1 t1)
(+ (* 2 (* t1 u)) (pow t1 2))
(*.f64 t1 (+.f64 t1 (*.f64 u #s(literal 2 binary64))))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(+.f64 (*.f64 u u) (*.f64 t1 (+.f64 t1 (*.f64 u #s(literal 2 binary64)))))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(+.f64 (*.f64 u u) (*.f64 t1 (+.f64 t1 (*.f64 u #s(literal 2 binary64)))))
(pow u 2)
(*.f64 u u)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(*.f64 (*.f64 u u) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t1 #s(literal 2 binary64)) u)))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(*.f64 (*.f64 u u) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 t1 u) (+.f64 #s(literal 2 binary64) (/.f64 t1 u)))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(*.f64 (*.f64 u u) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 t1 u) (+.f64 #s(literal 2 binary64) (/.f64 t1 u)))))
(pow u 2)
(*.f64 u u)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(*.f64 (*.f64 u u) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t1 #s(literal 2 binary64)) u)))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(*.f64 (*.f64 u u) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 t1 (-.f64 #s(literal -2 binary64) (/.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 (*.f64 t1 (-.f64 #s(literal -2 binary64) (/.f64 t1 u))) u)))
u
(+ t1 u)
(+.f64 t1 u)
(+ t1 u)
(+.f64 t1 u)
(+ t1 u)
(+.f64 t1 u)
t1
(* t1 (+ 1 (/ u t1)))
(*.f64 t1 (+.f64 #s(literal 1 binary64) (/.f64 u t1)))
(* t1 (+ 1 (/ u t1)))
(*.f64 t1 (+.f64 #s(literal 1 binary64) (/.f64 u t1)))
(* t1 (+ 1 (/ u t1)))
(*.f64 t1 (+.f64 #s(literal 1 binary64) (/.f64 u t1)))
t1
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 t1 (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 t1 (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 t1 (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
t1
(+ t1 u)
(+.f64 t1 u)
(+ t1 u)
(+.f64 t1 u)
(+ t1 u)
(+.f64 t1 u)
u
(* u (+ 1 (/ t1 u)))
(*.f64 u (+.f64 #s(literal 1 binary64) (/.f64 t1 u)))
(* u (+ 1 (/ t1 u)))
(*.f64 u (+.f64 #s(literal 1 binary64) (/.f64 t1 u)))
(* u (+ 1 (/ t1 u)))
(*.f64 u (+.f64 #s(literal 1 binary64) (/.f64 t1 u)))
u
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 t1 u)) (-.f64 #s(literal 0 binary64) u))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 t1 u)) (-.f64 #s(literal 0 binary64) u))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 t1 u)) (-.f64 #s(literal 0 binary64) u))
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)

eval69.0ms (0.6%)

Compiler

Compiled 16592 to 1647 computations (90.1% saved)

prune107.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New64013653
Fresh000
Picked101
Done000
Total64113654
Accuracy
100.0%
Counts
654 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.4%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) u) u)
▶98.0%
(/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1))
51.6%
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) v) t1)
97.7%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))) (/.f64 (+.f64 t1 u) v))
45.6%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) u))
▶52.1%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) t1))
44.2%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
78.9%
(/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1)))
▶56.0%
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
▶82.7%
(/.f64 t1 (*.f64 (/.f64 (+.f64 t1 u) v) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
78.8%
(*.f64 (/.f64 v #s(literal -1 binary64)) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
96.6%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (*.f64 t1 (/.f64 v (+.f64 t1 u))))
▶76.4%
(*.f64 t1 (neg.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
Compiler

Compiled 368 to 220 computations (40.2% saved)

simplify211.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 t1 u)
✓cost-diff0
(/.f64 (+.f64 t1 u) v)
✓cost-diff0
(*.f64 (/.f64 (+.f64 t1 u) v) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
✓cost-diff128
(/.f64 t1 (*.f64 (/.f64 (+.f64 t1 u) v) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
✓cost-diff0
(+.f64 t1 u)
✓cost-diff0
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
✓cost-diff0
(/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
✓cost-diff128
(*.f64 t1 (neg.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
✓cost-diff0
(+.f64 t1 u)
✓cost-diff0
(*.f64 (+.f64 t1 u) t1)
✓cost-diff0
(*.f64 (neg.f64 t1) v)
✓cost-diff256
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) t1))
✓cost-diff0
(-.f64 #s(literal 0 binary64) t1)
✓cost-diff0
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
✓cost-diff0
(+.f64 t1 u)
✓cost-diff0
(/.f64 v (+.f64 t1 u))
✓cost-diff0
(/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1))
✓cost-diff128
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1)
Rules
2114×fma-lowering-fma.f32
2114×fma-lowering-fma.f64
1910×fmsub-define
1890×*-lowering-*.f32
1890×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022143
170131
2218131
3663126
41742126
55186126
08373126
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ v (+ t1 u)) (/ (- 0 (+ t1 u)) t1))
(/ v (+ t1 u))
v
(+ t1 u)
t1
u
(/ (- 0 (+ t1 u)) t1)
(- 0 (+ t1 u))
0
(/ v (- 0 t1))
v
(- 0 t1)
0
t1
(/ (* (neg t1) v) (* (+ t1 u) t1))
(* (neg t1) v)
(neg t1)
t1
v
(* (+ t1 u) t1)
(+ t1 u)
u
(* t1 (neg (/ v (* (+ t1 u) (+ t1 u)))))
t1
(neg (/ v (* (+ t1 u) (+ t1 u))))
(/ v (* (+ t1 u) (+ t1 u)))
v
(* (+ t1 u) (+ t1 u))
(+ t1 u)
u
(/ t1 (* (/ (+ t1 u) v) (- 0 (+ t1 u))))
t1
(* (/ (+ t1 u) v) (- 0 (+ t1 u)))
(/ (+ t1 u) v)
(+ t1 u)
u
v
(- 0 (+ t1 u))
0
Outputs
(/ (/ v (+ t1 u)) (/ (- 0 (+ t1 u)) t1))
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
v
(+ t1 u)
(+.f64 t1 u)
t1
u
(/ (- 0 (+ t1 u)) t1)
(-.f64 #s(literal -1 binary64) (/.f64 u t1))
(- 0 (+ t1 u))
(-.f64 #s(literal 0 binary64) (+.f64 t1 u))
0
#s(literal 0 binary64)
(/ v (- 0 t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
v
(- 0 t1)
(-.f64 #s(literal 0 binary64) t1)
0
#s(literal 0 binary64)
t1
(/ (* (neg t1) v) (* (+ t1 u) t1))
(-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u)))
(* (neg t1) v)
(-.f64 #s(literal 0 binary64) (*.f64 v t1))
(neg t1)
(-.f64 #s(literal 0 binary64) t1)
t1
v
(* (+ t1 u) t1)
(*.f64 t1 (+.f64 t1 u))
(+ t1 u)
(+.f64 t1 u)
u
(* t1 (neg (/ v (* (+ t1 u) (+ t1 u)))))
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
t1
(neg (/ v (* (+ t1 u) (+ t1 u))))
(-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(/ v (* (+ t1 u) (+ t1 u)))
(/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
v
(* (+ t1 u) (+ t1 u))
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
(+ t1 u)
(+.f64 t1 u)
u
(/ t1 (* (/ (+ t1 u) v) (- 0 (+ t1 u))))
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
t1
(* (/ (+ t1 u) v) (- 0 (+ t1 u)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v))
(/ (+ t1 u) v)
(/.f64 (+.f64 t1 u) v)
(+ t1 u)
(+.f64 t1 u)
u
v
(- 0 (+ t1 u))
(-.f64 #s(literal 0 binary64) (+.f64 t1 u))
0
#s(literal 0 binary64)

localize189.0ms (1.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 t1 u)
✓accuracy100.0%
(/.f64 (+.f64 t1 u) v)
✓accuracy99.8%
(*.f64 (/.f64 (+.f64 t1 u) v) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
✓accuracy82.8%
(/.f64 t1 (*.f64 (/.f64 (+.f64 t1 u) v) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
✓accuracy100.0%
(neg.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
✓accuracy100.0%
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
✓accuracy92.7%
(/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
✓accuracy83.4%
(*.f64 t1 (neg.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
✓accuracy100.0%
(*.f64 (neg.f64 t1) v)
✓accuracy100.0%
(neg.f64 t1)
✓accuracy100.0%
(*.f64 (+.f64 t1 u) t1)
✓accuracy72.5%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) t1))
✓accuracy100.0%
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) t1)
✓accuracy100.0%
(+.f64 t1 u)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1)
✓accuracy100.0%
(/.f64 v (+.f64 t1 u))
✓accuracy98.0%
(/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1))
Results
116.0ms256×0valid
Compiler

Compiled 164 to 23 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 14.0ms (42.9% of total)
ival-mult: 10.0ms (30.7% of total)
ival-sub: 4.0ms (12.3% of total)
ival-neg: 3.0ms (9.2% of total)
ival-add: 2.0ms (6.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series80.0ms (0.7%)

Counts
17 → 492
Calls
Call 1
Inputs
#<alt (/ (- 0 (+ t1 u)) t1)>
#<alt (/ (/ v (+ t1 u)) (/ (- 0 (+ t1 u)) t1))>
#<alt (/ v (+ t1 u))>
#<alt (+ t1 u)>
#<alt (/ v (- 0 t1))>
#<alt (- 0 t1)>
#<alt (/ (* (neg t1) v) (* (+ t1 u) t1))>
#<alt (* (neg t1) v)>
#<alt (* (+ t1 u) t1)>
#<alt (* t1 (neg (/ v (* (+ t1 u) (+ t1 u)))))>
#<alt (/ v (* (+ t1 u) (+ t1 u)))>
#<alt (* (+ t1 u) (+ t1 u))>
#<alt (/ t1 (* (/ (+ t1 u) v) (- 0 (+ t1 u))))>
#<alt (* (/ (+ t1 u) v) (- 0 (+ t1 u)))>
#<alt (/ (+ t1 u) v)>
#<alt (neg t1)>
#<alt (neg (/ v (* (+ t1 u) (+ t1 u))))>
Outputs
#<alt (* -1 (/ u t1))>
#<alt (/ (+ (* -1 t1) (* -1 u)) t1)>
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#<alt (/ (+ v (* -2 (/ (* t1 v) u))) (pow u 2))>
#<alt (/ (- (+ v (* -1 (/ (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)) (pow u 2)))) (* 2 (/ (* t1 v) u))) (pow u 2))>
#<alt (/ (- (+ v (* -1 (/ (+ (* -2 (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)))) (* -2 (* (pow t1 3) v))) (pow u 3)))) (+ (* -4 (/ (* (pow t1 2) v) (pow u 2))) (+ (* 2 (/ (* t1 v) u)) (/ (* (pow t1 2) v) (pow u 2))))) (pow u 2))>
#<alt (/ v (pow u 2))>
#<alt (/ (+ v (* -2 (/ (* t1 v) u))) (pow u 2))>
#<alt (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 2) v) u)) (* -2 (* t1 v))) u))) (pow u 2))>
#<alt (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v))) u)) (* 2 (/ (* (pow t1 3) v) u))) (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v))) u)) (* -2 (* t1 v))) u))) (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 (* -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 (/ (* 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) v))>
#<alt (+ (* -2 (/ (* t1 u) v)) (* -1 (/ (pow u 2) v)))>
#<alt (+ (* -1 (/ (pow u 2) v)) (* t1 (+ (* -2 (/ u v)) (* -1 (/ t1 v)))))>
#<alt (+ (* -1 (/ (pow u 2) v)) (* t1 (+ (* -2 (/ u v)) (* -1 (/ t1 v)))))>
#<alt (* -1 (/ (pow t1 2) v))>
#<alt (* (pow t1 2) (- (* -2 (/ u (* t1 v))) (/ 1 v)))>
#<alt (* (pow t1 2) (- (+ (* -2 (/ u (* t1 v))) (* -1 (/ (pow u 2) (* (pow t1 2) v)))) (/ 1 v)))>
#<alt (* (pow t1 2) (- (+ (* -2 (/ u (* t1 v))) (* -1 (/ (pow u 2) (* (pow t1 2) v)))) (/ 1 v)))>
#<alt (* -1 (/ (pow t1 2) v))>
#<alt (* (pow t1 2) (- (* -2 (/ u (* t1 v))) (/ 1 v)))>
#<alt (* (pow t1 2) (- (* -1 (/ (+ (* 2 (/ u v)) (/ (pow u 2) (* t1 v))) t1)) (/ 1 v)))>
#<alt (* (pow t1 2) (- (* -1 (/ (+ (* 2 (/ u v)) (/ (pow u 2) (* t1 v))) t1)) (/ 1 v)))>
#<alt (* -1 (/ (pow t1 2) v))>
#<alt (+ (* -2 (/ (* t1 u) v)) (* -1 (/ (pow t1 2) v)))>
#<alt (+ (* -1 (/ (pow t1 2) v)) (* u (+ (* -2 (/ t1 v)) (* -1 (/ u v)))))>
#<alt (+ (* -1 (/ (pow t1 2) v)) (* u (+ (* -2 (/ t1 v)) (* -1 (/ u v)))))>
#<alt (* -1 (/ (pow u 2) v))>
#<alt (* (pow u 2) (- (* -2 (/ t1 (* u v))) (/ 1 v)))>
#<alt (* (pow u 2) (- (+ (* -2 (/ t1 (* u v))) (* -1 (/ (pow t1 2) (* (pow u 2) v)))) (/ 1 v)))>
#<alt (* (pow u 2) (- (+ (* -2 (/ t1 (* u v))) (* -1 (/ (pow t1 2) (* (pow u 2) v)))) (/ 1 v)))>
#<alt (* -1 (/ (pow u 2) v))>
#<alt (* (pow u 2) (- (* -2 (/ t1 (* u v))) (/ 1 v)))>
#<alt (* (pow u 2) (- (* -1 (/ (+ (* 2 (/ t1 v)) (/ (pow t1 2) (* u v))) u)) (/ 1 v)))>
#<alt (* (pow u 2) (- (* -1 (/ (+ (* 2 (/ t1 v)) (/ (pow t1 2) (* u v))) u)) (/ 1 v)))>
#<alt (* -1 (/ (pow (+ t1 u) 2) v))>
#<alt (* -1 (/ (pow (+ t1 u) 2) v))>
#<alt (* -1 (/ (pow (+ t1 u) 2) v))>
#<alt (* -1 (/ (pow (+ t1 u) 2) v))>
#<alt (* -1 (/ (pow (+ t1 u) 2) v))>
#<alt (* -1 (/ (pow (+ t1 u) 2) v))>
#<alt (* -1 (/ (pow (+ t1 u) 2) v))>
#<alt (* -1 (/ (pow (+ t1 u) 2) v))>
#<alt (* -1 (/ (pow (+ t1 u) 2) v))>
#<alt (* -1 (/ (pow (+ t1 u) 2) v))>
#<alt (* -1 (/ (pow (+ t1 u) 2) v))>
#<alt (* -1 (/ (pow (+ t1 u) 2) v))>
#<alt (/ u v)>
#<alt (+ (/ t1 v) (/ u v))>
#<alt (+ (/ t1 v) (/ u v))>
#<alt (+ (/ t1 v) (/ u v))>
#<alt (/ t1 v)>
#<alt (* t1 (+ (/ 1 v) (/ u (* t1 v))))>
#<alt (* t1 (+ (/ 1 v) (/ u (* t1 v))))>
#<alt (* t1 (+ (/ 1 v) (/ u (* t1 v))))>
#<alt (/ t1 v)>
#<alt (* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v))))>
#<alt (* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v))))>
#<alt (* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v))))>
#<alt (/ t1 v)>
#<alt (+ (/ t1 v) (/ u v))>
#<alt (+ (/ t1 v) (/ u v))>
#<alt (+ (/ t1 v) (/ u v))>
#<alt (/ u v)>
#<alt (* u (+ (/ 1 v) (/ t1 (* u v))))>
#<alt (* u (+ (/ 1 v) (/ t1 (* u v))))>
#<alt (* u (+ (/ 1 v) (/ t1 (* u v))))>
#<alt (/ u v)>
#<alt (* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v))))>
#<alt (* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v))))>
#<alt (* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v))))>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) 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 (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (- (* 2 (/ (* t1 v) (pow u 3))) (/ v (pow u 2)))>
#<alt (- (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))) (/ v (pow u 2)))>
#<alt (- (* 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))))))) (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow t1 2)))>
#<alt (/ (- (* 2 (/ (* u v) t1)) v) (pow t1 2))>
#<alt (/ (- (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))) v) (pow t1 2))>
#<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))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))))) v) (pow t1 2))>
#<alt (* -1 (/ v (pow t1 2)))>
#<alt (/ (- (* 2 (/ (* u v) t1)) v) (pow t1 2))>
#<alt (/ (- (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)) t1))) t1)) v) (pow t1 2))>
#<alt (/ (- (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (+ (* -1 (/ (+ (* 2 (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)))) (* 2 (* (pow u 3) v))) t1)) (* (pow u 2) v))) t1))) t1)) v) (pow t1 2))>
#<alt (* -1 (/ v (pow t1 2)))>
#<alt (- (* 2 (/ (* u v) (pow t1 3))) (/ v (pow t1 2)))>
#<alt (- (* u (+ (* 2 (/ v (pow t1 3))) (* u (+ (* -4 (/ v (pow t1 4))) (/ v (pow t1 4)))))) (/ v (pow t1 2)))>
#<alt (- (* u (+ (* 2 (/ v (pow t1 3))) (* u (+ (* -4 (/ v (pow t1 4))) (+ (* u (+ (* -2 (/ v (pow t1 5))) (* -2 (/ (+ (* -4 (/ v (pow t1 4))) (/ v (pow t1 4))) t1)))) (/ v (pow t1 4))))))) (/ v (pow t1 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (/ (- (* 2 (/ (* t1 v) u)) v) (pow u 2))>
#<alt (/ (- (+ (* -4 (/ (* (pow t1 2) v) (pow u 2))) (+ (* 2 (/ (* t1 v) u)) (/ (* (pow t1 2) v) (pow u 2)))) v) (pow u 2))>
#<alt (/ (- (+ (* -4 (/ (* (pow t1 2) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 3) v) (pow u 3))) (+ (* 2 (/ (* t1 v) u)) (/ (* (pow t1 2) v) (pow u 2)))))) v) (pow u 2))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (/ (- (* 2 (/ (* t1 v) u)) v) (pow u 2))>
#<alt (/ (- (* -1 (/ (+ (* -2 (* t1 v)) (* -1 (/ (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)) u))) u)) v) (pow u 2))>
#<alt (/ (- (* -1 (/ (+ (* -2 (* t1 v)) (* -1 (/ (+ (* -4 (* (pow t1 2) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)))) (* 2 (* (pow t1 3) v))) u)) (* (pow t1 2) v))) u))) u)) v) (pow u 2))>
Calls

123 calls:

TimeVariablePointExpression
48.0ms
v
@-inf
(/ v (- 0 t1))
1.0ms
v
@-inf
(/ v (* (+ t1 u) (+ t1 u)))
1.0ms
u
@0
(/ (- 0 (+ t1 u)) t1)
1.0ms
v
@inf
(/ v (+ t1 u))
1.0ms
t1
@-inf
(/ (/ v (+ t1 u)) (/ (- 0 (+ t1 u)) t1))

rewrite366.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
3776×/-lowering-/.f32
3776×/-lowering-/.f64
3526×*-lowering-*.f32
3526×*-lowering-*.f64
2256×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022109
115597
2146597
0912597
Stop Event
1×iter limit
1×node limit
Counts
17 → 1223
Calls
Call 1
Inputs
(/ (- 0 (+ t1 u)) t1)
(/ (/ v (+ t1 u)) (/ (- 0 (+ t1 u)) t1))
(/ v (+ t1 u))
(+ t1 u)
(/ v (- 0 t1))
(- 0 t1)
(/ (* (neg t1) v) (* (+ t1 u) t1))
(* (neg t1) v)
(* (+ t1 u) t1)
(* t1 (neg (/ v (* (+ t1 u) (+ t1 u)))))
(/ v (* (+ t1 u) (+ t1 u)))
(* (+ t1 u) (+ t1 u))
(/ t1 (* (/ (+ t1 u) v) (- 0 (+ t1 u))))
(* (/ (+ t1 u) v) (- 0 (+ t1 u)))
(/ (+ t1 u) v)
(neg t1)
(neg (/ v (* (+ t1 u) (+ t1 u))))
Outputs
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) #s(literal 0 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (*.f64 (/.f64 #s(literal 1 binary64) t1) #s(literal 0 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (*.f64 (/.f64 (+.f64 t1 u) (*.f64 t1 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)))) #s(literal 0 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (*.f64 (/.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (*.f64 t1 t1))) #s(literal 0 binary64)))
(+.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) t1)) (neg.f64 (/.f64 u t1)))
(+.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) t1)) (*.f64 (-.f64 #s(literal 0 binary64) u) (/.f64 #s(literal 1 binary64) t1)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) t1) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) t1) (-.f64 #s(literal 0 binary64) t1)) (*.f64 (/.f64 #s(literal 1 binary64) t1) (-.f64 #s(literal 0 binary64) u)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) t1) (-.f64 #s(literal 0 binary64) u)) (*.f64 (/.f64 #s(literal 1 binary64) t1) (-.f64 #s(literal 0 binary64) t1)))
(+.f64 (*.f64 (/.f64 (+.f64 t1 u) (*.f64 t1 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)))
(+.f64 (*.f64 (/.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (*.f64 t1 t1))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) u) (/.f64 #s(literal 1 binary64) t1)) (/.f64 t1 (-.f64 #s(literal 0 binary64) t1)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) (*.f64 t1 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1))))) (*.f64 (*.f64 t1 t1) (/.f64 (+.f64 t1 u) (*.f64 t1 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1))))))
(+.f64 (*.f64 (*.f64 t1 t1) (/.f64 (+.f64 t1 u) (*.f64 t1 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1))))) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) (*.f64 t1 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1))))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)))) (*.f64 t1 (/.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)))))
(+.f64 (*.f64 t1 (/.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)))) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 t1 u) t1) #s(literal 1 binary64)))
(-.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) t1)) (/.f64 u t1))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t1 (+.f64 t1 u))) (/.f64 (+.f64 t1 u) t1))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (/.f64 (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u))) (/.f64 (+.f64 t1 u) t1)))
(-.f64 (/.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) t1)) #s(literal 1 binary64)) (/.f64 (/.f64 u t1) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 t1 t1) (-.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1)) (/.f64 (/.f64 (*.f64 u u) (-.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) u) t1) (/.f64 t1 t1))
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(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) #s(literal 0 binary64))) (/.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))) (+.f64 (/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 (/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(neg.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(/.f64 v (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))) (+.f64 t1 u))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))
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(/.f64 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 #s(literal 1 binary64) (+.f64 t1 u)))
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(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))))))))
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simplify461.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
5250×*-lowering-*.f32
5250×*-lowering-*.f64
3586×+-lowering-+.f64
3586×+-lowering-+.f32
1984×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07116037
124755340
084315340
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
(* -1 (/ u t1))
(/ (+ (* -1 t1) (* -1 u)) t1)
(/ (+ (* -1 t1) (* -1 u)) t1)
(/ (+ (* -1 t1) (* -1 u)) t1)
-1
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
-1
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
-1
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
(* -1 (/ u t1))
(* -1 (* u (+ (/ 1 t1) (/ 1 u))))
(* -1 (* u (+ (/ 1 t1) (/ 1 u))))
(* -1 (* u (+ (/ 1 t1) (/ 1 u))))
(* -1 (/ u t1))
(* -1 (* u (+ (/ 1 t1) (/ 1 u))))
(* -1 (* u (+ (/ 1 t1) (/ 1 u))))
(* -1 (* u (+ (/ 1 t1) (/ 1 u))))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
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(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
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(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
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(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
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(* -1 (/ (* t1 v) (pow u 2)))
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(* 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 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
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(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -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))
(/ v (+ t1 u))
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(/ v t1)
(/ (+ v (* -1 (/ (* u v) t1))) t1)
(/ (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) t1)
(/ (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)
(/ v t1)
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(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1))) t1))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 3) v) t1) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))
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(/ v u)
(/ (+ v (* -1 (/ (* t1 v) u))) u)
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(/ (- (+ v (* -1 (/ (* (pow t1 3) v) (pow u 3)))) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)
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(* -1 (/ (+ (* -1 v) (/ (* t1 v) u)) u))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow t1 2) v) u) (* t1 v)) u))) u))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))
u
(+ t1 u)
(+ t1 u)
(+ t1 u)
t1
(* t1 (+ 1 (/ u t1)))
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(* t1 (+ 1 (/ u t1)))
t1
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
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t1
(+ t1 u)
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u
(* u (+ 1 (/ t1 u)))
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(* u (+ 1 (/ t1 u)))
u
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(/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)
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Outputs
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(/ (+ (* -1 t1) (* -1 u)) t1)
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(* -1 (/ v (pow t1 2)))
(-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 t1 t1)))
(/ (- (* 2 (/ (* u v) t1)) v) (pow t1 2))
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) v) (*.f64 t1 t1))
(/ (- (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))) v) (pow t1 2))
(/.f64 (+.f64 (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -4 binary64))) (*.f64 t1 t1)) (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) (-.f64 v (/.f64 (*.f64 u (*.f64 u v)) (*.f64 t1 t1))))) (*.f64 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))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))))) v) (pow t1 2))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 v (*.f64 u (*.f64 u u)))) (*.f64 t1 (*.f64 t1 t1))) (/.f64 (*.f64 v (*.f64 u (*.f64 u u))) (*.f64 t1 (*.f64 t1 t1))))) (+.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) (/.f64 (*.f64 u (*.f64 u v)) (*.f64 t1 t1)))) (-.f64 (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -4 binary64))) (*.f64 t1 t1)) v)) (*.f64 t1 t1))
(* -1 (/ v (pow t1 2)))
(-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 t1 t1)))
(/ (- (* 2 (/ (* u v) t1)) v) (pow t1 2))
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) v) (*.f64 t1 t1))
(/ (- (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)) t1))) t1)) v) (pow t1 2))
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 v (*.f64 u #s(literal -2 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 u (/.f64 (*.f64 u v) t1)))) (-.f64 #s(literal 0 binary64) t1)) v) (*.f64 t1 t1))
(/ (- (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (+ (* -1 (/ (+ (* 2 (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)))) (* 2 (* (pow u 3) v))) t1)) (* (pow u 2) v))) t1))) t1)) v) (pow t1 2))
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 v (*.f64 u #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 u u)) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 v (*.f64 u (*.f64 u u)))) (*.f64 v (*.f64 u (*.f64 u u))))) t1)) t1)) (-.f64 #s(literal 0 binary64) t1)) v) (*.f64 t1 t1))
(* -1 (/ v (pow t1 2)))
(-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 t1 t1)))
(- (* 2 (/ (* u v) (pow t1 3))) (/ v (pow t1 2)))
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) v) (*.f64 t1 t1))
(- (* u (+ (* 2 (/ v (pow t1 3))) (* u (+ (* -4 (/ v (pow t1 4))) (/ v (pow t1 4)))))) (/ v (pow t1 2)))
(-.f64 (*.f64 u (+.f64 (*.f64 (*.f64 u #s(literal -3 binary64)) (/.f64 v (pow.f64 t1 #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) v) (*.f64 t1 (*.f64 t1 t1))))) (/.f64 v (*.f64 t1 t1)))
(- (* u (+ (* 2 (/ v (pow t1 3))) (* u (+ (* -4 (/ v (pow t1 4))) (+ (* u (+ (* -2 (/ v (pow t1 5))) (* -2 (/ (+ (* -4 (/ v (pow t1 4))) (/ v (pow t1 4))) t1)))) (/ v (pow t1 4))))))) (/ v (pow t1 2)))
(-.f64 (*.f64 u (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) v) (*.f64 t1 (*.f64 t1 t1))) (*.f64 u (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) v) (pow.f64 t1 #s(literal 4 binary64))) (*.f64 u (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3 binary64) v) (pow.f64 t1 #s(literal 4 binary64))) t1) (/.f64 v (pow.f64 t1 #s(literal 5 binary64)))))))))) (/.f64 v (*.f64 t1 t1)))
(* -1 (/ v (pow u 2)))
(/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) u)) u)
(/ (- (* 2 (/ (* t1 v) u)) v) (pow u 2))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t1 v) #s(literal 2 binary64)) u) v) (*.f64 u u))
(/ (- (+ (* -4 (/ (* (pow t1 2) v) (pow u 2))) (+ (* 2 (/ (* t1 v) u)) (/ (* (pow t1 2) v) (pow u 2)))) v) (pow u 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 t1 (*.f64 t1 v))) (*.f64 u u)) (+.f64 (/.f64 (*.f64 t1 (*.f64 t1 v)) (*.f64 u u)) (-.f64 (/.f64 (*.f64 (*.f64 t1 v) #s(literal 2 binary64)) u) v))) (*.f64 u u))
(/ (- (+ (* -4 (/ (* (pow t1 2) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 3) v) (pow u 3))) (+ (* 2 (/ (* t1 v) u)) (/ (* (pow t1 2) v) (pow u 2)))))) v) (pow u 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 t1 (*.f64 t1 v))) (*.f64 u u)) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 t1 (*.f64 t1 t1))) (*.f64 u (*.f64 u u))) (/.f64 (*.f64 t1 (*.f64 t1 (*.f64 t1 v))) (*.f64 u (*.f64 u u))))) (+.f64 (/.f64 (*.f64 t1 (*.f64 t1 v)) (*.f64 u u)) (-.f64 (/.f64 (*.f64 (*.f64 t1 v) #s(literal 2 binary64)) u) v)))) (*.f64 u u))
(* -1 (/ v (pow u 2)))
(/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) u)) u)
(/ (- (* 2 (/ (* t1 v) u)) v) (pow u 2))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t1 v) #s(literal 2 binary64)) u) v) (*.f64 u u))
(/ (- (* -1 (/ (+ (* -2 (* t1 v)) (* -1 (/ (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)) u))) u)) v) (pow u 2))
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 v (*.f64 t1 #s(literal -2 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 t1 (*.f64 t1 v)) u))) (-.f64 #s(literal 0 binary64) u)) v) (*.f64 u u))
(/ (- (* -1 (/ (+ (* -2 (* t1 v)) (* -1 (/ (+ (* -4 (* (pow t1 2) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)))) (* 2 (* (pow t1 3) v))) u)) (* (pow t1 2) v))) u))) u)) v) (pow u 2))
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 v (*.f64 t1 #s(literal -2 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 t1 (*.f64 t1 v))) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 t1 (*.f64 t1 t1))) (*.f64 t1 (*.f64 t1 (*.f64 t1 v))))) u)) u)) (-.f64 #s(literal 0 binary64) u)) v) (*.f64 u u))

eval393.0ms (3.7%)

Compiler

Compiled 49681 to 5272 computations (89.4% saved)

prune291.0ms (2.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New2310172327
Fresh358
Picked505
Done000
Total2318222340
Accuracy
100.0%
Counts
2340 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.4%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) u) u)
98.0%
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1)))
64.5%
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
▶50.2%
(/.f64 (/.f64 v u) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1))
51.6%
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) v) t1)
45.6%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) u))
44.2%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
23.6%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u t1))
96.7%
(/.f64 (neg.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1)) (+.f64 t1 u))
18.3%
(/.f64 v (-.f64 #s(literal 0 binary64) u))
▶56.0%
(/.f64 v (neg.f64 t1))
46.9%
(/.f64 t1 (/.f64 (*.f64 u u) (-.f64 #s(literal 0 binary64) v)))
52.9%
(/.f64 t1 (*.f64 (/.f64 u v) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
55.2%
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
96.6%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (*.f64 t1 (/.f64 v (+.f64 t1 u))))
55.8%
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
50.0%
(*.f64 t1 (/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) u)) u))
▶46.9%
(*.f64 t1 (neg.f64 (/.f64 v (*.f64 u u))))
68.1%
(neg.f64 (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) v)) t1))
97.7%
(neg.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)))
95.0%
(neg.f64 (/.f64 v (/.f64 (+.f64 t1 u) (/.f64 t1 (+.f64 t1 u)))))
▶98.1%
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (+.f64 t1 u))))
Compiler

Compiled 538 to 334 computations (37.9% saved)

simplify179.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 0 binary64) (+.f64 t1 u))
✓cost-diff0
(/.f64 v u)
✓cost-diff0
(/.f64 (/.f64 v u) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1))
✓cost-diff128
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1)
✓cost-diff0
(*.f64 t1 v)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
✓cost-diff0
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) u)
✓cost-diff0
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) u) u)
✓cost-diff-64
(neg.f64 (/.f64 v (*.f64 u u)))
✓cost-diff0
(*.f64 u u)
✓cost-diff0
(/.f64 v (*.f64 u u))
✓cost-diff0
(*.f64 t1 (neg.f64 (/.f64 v (*.f64 u u))))
✓cost-diff-64
(neg.f64 t1)
✓cost-diff0
(/.f64 v (neg.f64 t1))
✓cost-diff0
(+.f64 t1 u)
✓cost-diff0
(/.f64 t1 (+.f64 t1 u))
✓cost-diff0
(*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (+.f64 t1 u)))
✓cost-diff64
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (+.f64 t1 u))))
Rules
2902×sum3-define
2468×sum4-define
1668×fma-lowering-fma.f32
1668×fma-lowering-fma.f64
1560×fmm-def
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
023122
172122
2187122
3411114
4955114
51968114
65786113
08103113
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(neg (* (/ t1 (+ t1 u)) (/ v (+ t1 u))))
(* (/ t1 (+ t1 u)) (/ v (+ t1 u)))
(/ t1 (+ t1 u))
t1
(+ t1 u)
u
(/ v (+ t1 u))
v
(/ v (neg t1))
v
(neg t1)
t1
(* t1 (neg (/ v (* u u))))
t1
(neg (/ v (* u u)))
(/ v (* u u))
v
(* u u)
u
(/ (/ (- 0 (* t1 v)) u) u)
(/ (- 0 (* t1 v)) u)
(- 0 (* t1 v))
0
(* t1 v)
t1
v
u
(/ (/ v u) (/ (- 0 (+ t1 u)) t1))
(/ v u)
v
u
(/ (- 0 (+ t1 u)) t1)
(- 0 (+ t1 u))
0
(+ t1 u)
t1
Outputs
(neg (* (/ t1 (+ t1 u)) (/ v (+ t1 u))))
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(* (/ t1 (+ t1 u)) (/ v (+ t1 u)))
(/.f64 v (*.f64 (+.f64 t1 u) (+.f64 (/.f64 u t1) #s(literal 1 binary64))))
(/ t1 (+ t1 u))
(/.f64 t1 (+.f64 t1 u))
t1
(+ t1 u)
(+.f64 t1 u)
u
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
v
(/ v (neg t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
v
(neg t1)
(-.f64 #s(literal 0 binary64) t1)
t1
(* t1 (neg (/ v (* u u))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 v (/.f64 u t1)) u))
t1
(neg (/ v (* u u)))
(-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 u u)))
(/ v (* u u))
(/.f64 v (*.f64 u u))
v
(* u u)
(*.f64 u u)
u
(/ (/ (- 0 (* t1 v)) u) u)
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 v (/.f64 u t1)) u))
(/ (- 0 (* t1 v)) u)
(-.f64 #s(literal 0 binary64) (/.f64 v (/.f64 u t1)))
(- 0 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
0
#s(literal 0 binary64)
(* t1 v)
(*.f64 t1 v)
t1
v
u
(/ (/ v u) (/ (- 0 (+ t1 u)) t1))
(/.f64 v (*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(/ v u)
(/.f64 v u)
v
u
(/ (- 0 (+ t1 u)) t1)
(-.f64 #s(literal -1 binary64) (/.f64 u t1))
(- 0 (+ t1 u))
(-.f64 (-.f64 #s(literal 0 binary64) t1) u)
0
#s(literal 0 binary64)
(+ t1 u)
(+.f64 t1 u)
t1

localize167.0ms (1.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (+.f64 t1 u))
✓accuracy100.0%
(+.f64 t1 u)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1)
✓accuracy98.0%
(/.f64 (/.f64 v u) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
✓accuracy100.0%
(*.f64 t1 v)
✓accuracy96.7%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) u) u)
✓accuracy93.6%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) u)
✓accuracy100.0%
(*.f64 u u)
✓accuracy100.0%
(neg.f64 (/.f64 v (*.f64 u u)))
✓accuracy91.4%
(/.f64 v (*.f64 u u))
✓accuracy87.5%
(*.f64 t1 (neg.f64 (/.f64 v (*.f64 u u))))
✓accuracy100.0%
(/.f64 v (neg.f64 t1))
✓accuracy100.0%
(neg.f64 t1)
✓accuracy100.0%
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (+.f64 t1 u))))
✓accuracy100.0%
(/.f64 t1 (+.f64 t1 u))
✓accuracy100.0%
(/.f64 v (+.f64 t1 u))
✓accuracy98.1%
(*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (+.f64 t1 u)))
Results
139.0ms256×0valid
Compiler

Compiled 137 to 24 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 20.0ms (48.1% of total)
ival-neg: 9.0ms (21.6% of total)
ival-mult: 7.0ms (16.8% of total)
ival-sub: 3.0ms (7.2% of total)
ival-add: 2.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.3%)

Counts
19 → 516
Calls
Call 1
Inputs
#<alt (neg (* (/ t1 (+ t1 u)) (/ v (+ t1 u))))>
#<alt (* (/ t1 (+ t1 u)) (/ v (+ t1 u)))>
#<alt (/ t1 (+ t1 u))>
#<alt (+ t1 u)>
#<alt (/ v (neg t1))>
#<alt (neg t1)>
#<alt (* t1 (neg (/ v (* u u))))>
#<alt (/ v (* u u))>
#<alt (* u u)>
#<alt (neg (/ v (* u u)))>
#<alt (/ (/ (- 0 (* t1 v)) u) u)>
#<alt (/ (- 0 (* t1 v)) u)>
#<alt (- 0 (* t1 v))>
#<alt (* t1 v)>
#<alt (/ (- 0 (+ t1 u)) t1)>
#<alt (/ (/ v u) (/ (- 0 (+ t1 u)) t1))>
#<alt (/ v u)>
#<alt (- 0 (+ t1 u))>
#<alt (/ v (+ t1 u))>
Outputs
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (- (* 2 (/ (* t1 v) (pow u 3))) (/ v (pow u 2))))>
#<alt (* t1 (- (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))) (/ v (pow u 2))))>
#<alt (* t1 (- (* 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))))))) (/ v (pow u 2))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (- (* 2 (/ (* u v) t1)) v) t1)>
#<alt (/ (- (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))) v) 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))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))))) v) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1)) (* -1 v)) t1))>
#<alt (* -1 (/ (- (* -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)) (* -1 v)) t1))>
#<alt (* -1 (/ v t1))>
#<alt (- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (- (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))) (/ v t1))>
#<alt (- (* 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))))))) (/ v t1))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (- (* 2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))>
#<alt (/ (- (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2)))) (* t1 v)) (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))) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2)))))) (* t1 v)) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (- (* 2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))>
#<alt (/ (- (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u)) (* t1 v)) (pow u 2))>
#<alt (/ (- (* -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)) (* t1 v)) (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 (/ (* t1 v) (pow u 2))>
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#<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 (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v u)>
#<alt (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u))>
#<alt (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u))>
#<alt (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u))>
#<alt (/ v t1)>
#<alt (/ (+ v (* -1 (/ (* u v) t1))) t1)>
#<alt (/ (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) t1)>
#<alt (/ (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)>
#<alt (/ v t1)>
#<alt (* -1 (/ (+ (* -1 v) (/ (* u v) t1)) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1))) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 3) v) t1) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))>
#<alt (/ v t1)>
#<alt (+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (+ (* u (- (/ (* u v) (pow t1 3)) (/ v (pow t1 2)))) (/ v t1))>
#<alt (+ (* u (- (* u (- (* -1 (/ (* u v) (pow t1 4))) (* -1 (/ v (pow t1 3))))) (/ v (pow t1 2)))) (/ v t1))>
#<alt (/ v u)>
#<alt (/ (+ v (* -1 (/ (* t1 v) u))) u)>
#<alt (/ (- (+ v (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u)) u)>
#<alt (/ (- (+ v (* -1 (/ (* (pow t1 3) v) (pow u 3)))) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)>
#<alt (/ v u)>
#<alt (* -1 (/ (+ (* -1 v) (/ (* t1 v) u)) u))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow t1 2) v) u) (* t1 v)) u))) u))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))>
Calls

129 calls:

TimeVariablePointExpression
9.0ms
u
@0
(* t1 (neg (/ v (* u u))))
1.0ms
t1
@-inf
(- 0 (+ t1 u))
1.0ms
v
@0
(/ (/ v u) (/ (- 0 (+ t1 u)) t1))
1.0ms
t1
@0
(* t1 (neg (/ v (* u u))))
1.0ms
v
@0
(* t1 (neg (/ v (* u u))))

rewrite296.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
3960×/-lowering-/.f32
3960×/-lowering-/.f64
3844×*-lowering-*.f32
3844×*-lowering-*.f64
1234×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023103
116097
2137997
0889397
Stop Event
1×iter limit
1×node limit
Counts
19 → 1118
Calls
Call 1
Inputs
(neg (* (/ t1 (+ t1 u)) (/ v (+ t1 u))))
(* (/ t1 (+ t1 u)) (/ v (+ t1 u)))
(/ t1 (+ t1 u))
(+ t1 u)
(/ v (neg t1))
(neg t1)
(* t1 (neg (/ v (* u u))))
(/ v (* u u))
(* u u)
(neg (/ v (* u u)))
(/ (/ (- 0 (* t1 v)) u) u)
(/ (- 0 (* t1 v)) u)
(- 0 (* t1 v))
(* t1 v)
(/ (- 0 (+ t1 u)) t1)
(/ (/ v u) (/ (- 0 (+ t1 u)) t1))
(/ v u)
(- 0 (+ t1 u))
(/ v (+ t1 u))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) v)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)) (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1)))) #s(literal 0 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 t1 v) (*.f64 t1 (*.f64 v (*.f64 t1 v)))) (*.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) (+.f64 (/.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)) (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1)))) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v))) (/.f64 (/.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)) (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1)))) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v))))
(neg.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) v))))
(/.f64 t1 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) (/.f64 v (+.f64 t1 u))))
(/.f64 t1 (*.f64 (/.f64 (+.f64 t1 u) v) (-.f64 (-.f64 #s(literal 0 binary64) t1) u)))
(/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) v))
(/.f64 v (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 #s(literal -1 binary64) (+.f64 t1 u))))
(/.f64 v (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) (/.f64 t1 (+.f64 t1 u))))
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)))
(/.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))
(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (/.f64 (+.f64 t1 u) v) (+.f64 t1 u)))
(/.f64 (*.f64 t1 v) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 (+.f64 t1 u) (/.f64 t1 (+.f64 t1 u))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) (/.f64 v (/.f64 (+.f64 t1 u) t1))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (*.f64 t1 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 t1 u) v) (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t1 u) (/.f64 v (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)) (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1)))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t1 v) (*.f64 t1 (*.f64 v (*.f64 t1 v)))) (*.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)) (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))) (/.f64 (+.f64 t1 u) v))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1))))
(/.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)) (/.f64 (+.f64 t1 u) t1))
(/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) (-.f64 (-.f64 #s(literal 0 binary64) t1) u))
(/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1))) (+.f64 t1 u))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t1 v) (*.f64 t1 (*.f64 v (*.f64 t1 v)))) (*.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))) (+.f64 (/.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)) (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1)))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)) (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1))))) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t1 v) (*.f64 t1 (*.f64 v (*.f64 t1 v)))) (*.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))))) (neg.f64 (+.f64 (/.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)) (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1)))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)) (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1)))))) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) v)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) v)) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) v))) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) v))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) v)) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) v)))) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)))
(pow.f64 (*.f64 (/.f64 (+.f64 t1 u) v) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1))) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (/.f64 (+.f64 t1 u) v)) #s(literal -1 binary64))
(*.f64 t1 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) v)))
(*.f64 t1 (/.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)) (+.f64 t1 u)))
(*.f64 t1 (neg.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))
(*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)))
(*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))))
(*.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) v)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (+.f64 t1 u))))
(*.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)))
(*.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u)))
(*.f64 (*.f64 t1 v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (*.f64 t1 v) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) v)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))) (/.f64 v (+.f64 t1 u)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)) (/.f64 #s(literal 1 binary64) t1)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)))
(*.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)) (/.f64 t1 (+.f64 t1 u)))
(*.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
(*.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1))) (/.f64 #s(literal 1 binary64) (+.f64 t1 u)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t1 v) (*.f64 t1 (*.f64 v (*.f64 t1 v)))) (*.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)) (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1)))) #s(literal 0 binary64))))
(*.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 (/.f64 t1 (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)) (/.f64 #s(literal -1 binary64) t1)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)) (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1))))) (/.f64 (+.f64 t1 u) (/.f64 v (/.f64 (+.f64 t1 u) t1))))
(*.f64 (/.f64 v #s(literal -1 binary64)) (/.f64 (/.f64 t1 (+.f64 t1 u)) (+.f64 t1 u)))
(*.f64 (/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1)))))
(*.f64 (/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) (-.f64 (*.f64 t1 t1) (*.f64 u u))) (+.f64 (-.f64 #s(literal 0 binary64) t1) u))
(*.f64 (neg.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) (/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (+.f64 t1 u))))
(*.f64 (/.f64 t1 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))) (/.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))))
(*.f64 (/.f64 t1 (-.f64 (*.f64 t1 t1) (*.f64 u u))) (/.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)) (/.f64 #s(literal 1 binary64) (+.f64 t1 u))))
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(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (*.f64 t1 t1))) (pow.f64 (-.f64 #s(literal 0 binary64) u) #s(literal 3 binary64))) (+.f64 (*.f64 t1 t1) (-.f64 (*.f64 u u) (*.f64 (-.f64 #s(literal 0 binary64) t1) (-.f64 #s(literal 0 binary64) u)))))
(/.f64 (+.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64)) (+.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) u) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t1 (*.f64 t1 t1)))) (+.f64 (*.f64 u u) (-.f64 (*.f64 t1 t1) (*.f64 (-.f64 #s(literal 0 binary64) u) (-.f64 #s(literal 0 binary64) t1)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) u) #s(literal 3 binary64)) (*.f64 t1 (*.f64 t1 t1))) (+.f64 (*.f64 u u) (*.f64 t1 (-.f64 t1 u))))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) #s(literal -1 binary64))
(*.f64 (+.f64 t1 u) #s(literal -1 binary64))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))))
(*.f64 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))))
(*.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) t1) u))
(*.f64 #s(literal -1 binary64) (+.f64 t1 u))
(*.f64 (-.f64 (*.f64 t1 t1) (*.f64 u u)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) t1) u)))
(*.f64 (-.f64 (*.f64 t1 t1) (*.f64 u u)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal 1 binary64) (+.f64 t1 u)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1)))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)) (*.f64 u u)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(+.f64 (/.f64 v (+.f64 t1 u)) (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) #s(literal 0 binary64)))
(+.f64 (/.f64 v (+.f64 t1 u)) (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64)))
(+.f64 (*.f64 (/.f64 v (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1)) (*.f64 (/.f64 v (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1))))
(+.f64 (*.f64 (/.f64 v (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1))) (*.f64 (/.f64 v (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1)))
(+.f64 (*.f64 (/.f64 v (-.f64 (*.f64 t1 t1) (*.f64 u u))) t1) (*.f64 (/.f64 v (-.f64 (*.f64 t1 t1) (*.f64 u u))) (-.f64 #s(literal 0 binary64) u)))
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) #s(literal 0 binary64)) (/.f64 v (+.f64 t1 u)))
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (*.f64 t1 (+.f64 t1 u))) (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (*.f64 u (+.f64 t1 u))))
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (*.f64 u (+.f64 t1 u))) (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (*.f64 t1 (+.f64 t1 u))))
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (*.f64 (+.f64 t1 u) t1)) (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (*.f64 (+.f64 t1 u) u)))
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (*.f64 (+.f64 t1 u) u)) (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (*.f64 (+.f64 t1 u) t1)))
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) t1) (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) u))
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) u) (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) t1))
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64)) (/.f64 v (+.f64 t1 u)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 t1 u) v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)))
(neg.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)))
(neg.f64 (*.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)) #s(literal 1 binary64)))
(/.f64 v (+.f64 t1 u))
(/.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 (-.f64 #s(literal 0 binary64) t1) u))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t1 u) v))
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(/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal 1 binary64) (+.f64 t1 u)))
(pow.f64 (/.f64 (+.f64 t1 u) v) #s(literal -1 binary64))
(*.f64 v (/.f64 #s(literal 1 binary64) (+.f64 t1 u)))
(*.f64 (/.f64 v (+.f64 t1 u)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
(*.f64 #s(literal 1 binary64) (/.f64 v (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) v)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 t1 u))))
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(*.f64 (/.f64 v (-.f64 (*.f64 t1 t1) (*.f64 u u))) (-.f64 t1 u))
(*.f64 (/.f64 v (-.f64 (*.f64 t1 t1) (*.f64 u u))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (+.f64 t1 u))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(*.f64 (pow.f64 (/.f64 (+.f64 t1 u) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 t1 u) v) #s(literal -1/2 binary64)))

simplify332.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
3876×*-lowering-*.f32
3876×*-lowering-*.f64
2566×+-lowering-+.f64
2566×+-lowering-+.f32
1732×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05664482
120264017
268154010
080624010
Stop Event
1×iter limit
1×node limit
Counts
516 → 516
Calls
Call 1
Inputs
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (- (* 2 (/ (* t1 v) (pow u 3))) (/ v (pow u 2))))
(* t1 (- (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))) (/ v (pow u 2))))
(* t1 (- (* 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))))))) (/ v (pow u 2))))
(* -1 (/ v t1))
(/ (- (* 2 (/ (* u v) t1)) v) t1)
(/ (- (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))) 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))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))))) v) t1)
(* -1 (/ v t1))
(* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1))
(* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1)) (* -1 v)) t1))
(* -1 (/ (- (* -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)) (* -1 v)) t1))
(* -1 (/ v t1))
(- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))
(- (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))) (/ 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))))))) (/ v t1))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (- (* 2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))
(/ (- (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2)))) (* t1 v)) (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))) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2)))))) (* t1 v)) (pow u 2))
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(/ (- (* 2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))
(/ (- (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u)) (* t1 v)) (pow u 2))
(/ (- (* -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)) (* t1 v)) (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)))
(/ (* t1 v) (pow u 2))
(* t1 (+ (* -2 (/ (* t1 v) (pow u 3))) (/ v (pow u 2))))
(* t1 (+ (* t1 (- (* -1 (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))) (* 2 (/ v (pow u 3))))) (/ v (pow u 2))))
(* t1 (+ (* t1 (- (* t1 (- (* -1 (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u))))) (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))) (* 2 (/ v (pow u 3))))) (/ v (pow u 2))))
(/ v t1)
(/ (+ v (* -2 (/ (* u v) t1))) t1)
(/ (- (+ v (* -1 (/ (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)) (pow t1 2)))) (* 2 (/ (* u v) t1))) t1)
(/ (- (+ v (* -1 (/ (+ (* -2 (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)))) (* -2 (* (pow u 3) v))) (pow t1 3)))) (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/ v t1)
(* -1 (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1))
(* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)) t1))) t1))) t1))
(* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (+ (* -1 (/ (+ (* 2 (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)))) (* 2 (* (pow u 3) v))) t1)) (* (pow u 2) v))) t1))) t1))) t1))
(/ v t1)
(+ (* -2 (/ (* u v) (pow t1 2))) (/ v t1))
(+ (* u (- (* -1 (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))) (* 2 (/ v (pow t1 2))))) (/ v t1))
(+ (* u (- (* u (- (* -1 (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1))))) (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))) (* 2 (/ v (pow t1 2))))) (/ v t1))
(/ (* t1 v) (pow u 2))
(/ (+ (* -2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))
(/ (- (+ (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) (pow u 2))) (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (- (+ (* -1 (/ (+ (* -2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* -2 (* (pow t1 4) v))) (pow u 3))) (* t1 v)) (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (+ (* -2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow t1 3) v) u)) (/ (* (pow t1 3) v) u)) (* -2 (* (pow t1 2) v))) u)) (* t1 v)) (pow u 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) u)) (* 2 (/ (* (pow t1 4) v) u))) (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) u)) (* -2 (* (pow t1 2) v))) u)) (* t1 v)) (pow u 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ 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)))
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(+ 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))
u
(+ t1 u)
(+ t1 u)
(+ t1 u)
t1
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
t1
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
t1
(+ t1 u)
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u
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
u
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
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(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (/ v t1))
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(* -1 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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(/ v (pow u 2))
(/ v (pow u 2))
(/ v (pow u 2))
(/ v (pow u 2))
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
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(* -1 (/ v (pow u 2)))
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(* -1 (/ v (pow u 2)))
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(* -1 (/ v (pow u 2)))
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(* -1 (/ v (pow u 2)))
(* -1 (/ 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)))
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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)))
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(* -1 (/ (* t1 v) u))
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(* -1 (* t1 v))
(* t1 v)
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(* t1 v)
(* t1 v)
(* -1 (/ u t1))
(/ (+ (* -1 t1) (* -1 u)) t1)
(/ (+ (* -1 t1) (* -1 u)) t1)
(/ (+ (* -1 t1) (* -1 u)) t1)
-1
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
-1
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
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(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
(* -1 (/ u t1))
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(* -1 (* u (+ (/ 1 t1) (/ 1 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))
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(* -1 (/ v u))
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(* -1 (/ v u))
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(/ v u)
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(* t1 (- (* -1 (/ u t1)) 1))
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(* -1 t1)
(* -1 (* t1 (+ 1 (/ u t1))))
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(* -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))
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(* -1 (* u (+ 1 (/ t1 u))))
(* -1 (* u (+ 1 (/ t1 u))))
(/ v (+ t1 u))
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(/ v (+ t1 u))
(/ v u)
(+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u))
(+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u))
(+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u))
(/ v t1)
(/ (+ v (* -1 (/ (* u v) t1))) t1)
(/ (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) t1)
(/ (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)
(/ v t1)
(* -1 (/ (+ (* -1 v) (/ (* u v) t1)) t1))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1))) t1))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 3) v) t1) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))
(/ v t1)
(+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1))
(+ (* u (- (/ (* u v) (pow t1 3)) (/ v (pow t1 2)))) (/ v t1))
(+ (* u (- (* u (- (* -1 (/ (* u v) (pow t1 4))) (* -1 (/ v (pow t1 3))))) (/ v (pow t1 2)))) (/ v t1))
(/ v u)
(/ (+ v (* -1 (/ (* t1 v) u))) u)
(/ (- (+ v (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u)) u)
(/ (- (+ v (* -1 (/ (* (pow t1 3) v) (pow u 3)))) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)
(/ v u)
(* -1 (/ (+ (* -1 v) (/ (* t1 v) u)) u))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow t1 2) v) u) (* t1 v)) u))) u))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))
Outputs
(* -1 (/ (* t1 v) (pow u 2)))
(/.f64 (*.f64 t1 v) (-.f64 #s(literal 0 binary64) (*.f64 u u)))
(* t1 (- (* 2 (/ (* t1 v) (pow u 3))) (/ v (pow u 2))))
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(* t1 (- (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))) (/ v (pow u 2))))
(*.f64 t1 (-.f64 (*.f64 t1 (+.f64 (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 u (*.f64 u u))) (*.f64 t1 (/.f64 (*.f64 #s(literal -3 binary64) v) (pow.f64 u #s(literal 4 binary64)))))) (/.f64 v (*.f64 u u))))
(* t1 (- (* 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))))))) (/ v (pow u 2))))
(*.f64 t1 (-.f64 (*.f64 t1 (+.f64 (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 u (*.f64 u u))) (*.f64 t1 (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) v) (pow.f64 u #s(literal 4 binary64))) (*.f64 (*.f64 t1 #s(literal -2 binary64)) (+.f64 (/.f64 v (pow.f64 u #s(literal 5 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -3 binary64) v) (pow.f64 u #s(literal 4 binary64))) u))))))) (/.f64 v (*.f64 u u))))
(* -1 (/ v t1))
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(/ (- (* 2 (/ (* u v) t1)) v) t1)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 v u) t1)) v) t1)
(/ (- (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))) v) t1)
(/.f64 (+.f64 (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -4 binary64))) (*.f64 t1 t1)) (+.f64 (/.f64 (*.f64 v (*.f64 u u)) (*.f64 t1 t1)) (-.f64 (*.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))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))))) v) t1)
(/.f64 (+.f64 (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -4 binary64))) (*.f64 t1 t1)) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 u (/.f64 (/.f64 (*.f64 (*.f64 u (/.f64 (*.f64 v u) t1)) #s(literal -3 binary64)) t1) t1)) (/.f64 (*.f64 v (*.f64 u (*.f64 u u))) (*.f64 t1 (*.f64 t1 t1))))) (+.f64 (/.f64 (*.f64 v (*.f64 u u)) (*.f64 t1 t1)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 v u) t1)) v)))) t1)
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(* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1)) (* -1 v)) t1))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 u (/.f64 (*.f64 v u) t1)) #s(literal -3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 v u))) t1) v)) t1)
(* -1 (/ (- (* -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)) (* -1 v)) t1))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 u (*.f64 (*.f64 u (/.f64 (*.f64 v u) t1)) #s(literal -3 binary64))) (*.f64 u (*.f64 u (/.f64 (*.f64 v u) t1))))) (*.f64 #s(literal 3 binary64) (*.f64 v (*.f64 u u)))) t1)) (*.f64 #s(literal 2 binary64) (*.f64 v u))) t1) v)) t1)
(* -1 (/ v t1))
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(- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 v u) t1)) v) t1)
(- (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))) (/ v t1))
(-.f64 (*.f64 u (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 t1 t1))) (*.f64 (*.f64 u #s(literal -3 binary64)) (/.f64 v (*.f64 t1 (*.f64 t1 t1)))))) (/.f64 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))))))) (/ v t1))
(-.f64 (*.f64 u (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 t1 t1))) (*.f64 u (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 t1 (*.f64 t1 t1))) (*.f64 u (+.f64 (/.f64 (*.f64 v #s(literal -2 binary64)) (pow.f64 t1 #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 6 binary64) (/.f64 v (*.f64 t1 (*.f64 t1 t1)))) t1))))))) (/.f64 v t1))
(* -1 (/ (* t1 v) (pow u 2)))
(/.f64 (*.f64 t1 v) (-.f64 #s(literal 0 binary64) (*.f64 u u)))
(/ (- (* 2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 t1 t1))) u) (*.f64 t1 v)) (*.f64 u u))
(/ (- (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2)))) (* t1 v)) (pow u 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v (/.f64 (*.f64 t1 (*.f64 t1 t1)) u))) u) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 t1 t1))) u) (-.f64 (/.f64 (*.f64 v (/.f64 (*.f64 t1 (*.f64 t1 t1)) u)) 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))) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2)))))) (* t1 v)) (pow u 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 v (/.f64 (*.f64 t1 (*.f64 t1 t1)) u))) u) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 t1 #s(literal -3 binary64)) (*.f64 t1 (*.f64 v (*.f64 t1 t1)))) (*.f64 u (*.f64 u u))) (/.f64 (*.f64 v (pow.f64 t1 #s(literal 4 binary64))) (*.f64 u (*.f64 u u))))) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 t1 t1))) u) (-.f64 (/.f64 (*.f64 v (/.f64 (*.f64 t1 (*.f64 t1 t1)) u)) u) (*.f64 t1 v))))) (*.f64 u u))
(* -1 (/ (* t1 v) (pow u 2)))
(/.f64 (*.f64 t1 v) (-.f64 #s(literal 0 binary64) (*.f64 u u)))
(/ (- (* 2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 v (*.f64 t1 t1))) u) (*.f64 t1 v)) (*.f64 u u))
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eval332.0ms (3.1%)

Compiler

Compiled 31768 to 4191 computations (86.8% saved)

prune238.0ms (2.2%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1799151814
Fresh10717
Picked415
Done000
Total1813231836
Accuracy
100.0%
Counts
1836 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.6%
(/.f64 (/.f64 (/.f64 v u) (+.f64 t1 u)) (/.f64 #s(literal -1 binary64) t1))
46.4%
(/.f64 (/.f64 (neg.f64 (*.f64 t1 v)) u) u)
64.5%
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
▶50.1%
(/.f64 (/.f64 v u) (/.f64 (-.f64 #s(literal 0 binary64) u) t1))
18.3%
(/.f64 (/.f64 v u) #s(literal -1 binary64))
51.6%
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) v) t1)
44.2%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
▶49.1%
(/.f64 (*.f64 v (neg.f64 (/.f64 t1 u))) u)
96.7%
(/.f64 (neg.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1)) (+.f64 t1 u))
94.9%
(/.f64 v (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 #s(literal -1 binary64) (+.f64 t1 u))))
✓56.0%
(/.f64 v (neg.f64 t1))
55.2%
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
46.4%
(*.f64 (/.f64 v #s(literal -1 binary64)) (/.f64 (/.f64 t1 u) u))
▶55.8%
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
48.9%
(*.f64 (*.f64 (/.f64 v u) t1) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
▶47.2%
(*.f64 v (/.f64 #s(literal -1 binary64) (/.f64 u (/.f64 t1 (+.f64 t1 u)))))
50.0%
(*.f64 t1 (*.f64 (/.f64 v u) (/.f64 #s(literal -1 binary64) u)))
50.0%
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v u) u)))
▶97.8%
(neg.f64 (/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) (+.f64 t1 u)))
50.0%
(neg.f64 (/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) u))
68.1%
(neg.f64 (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) v)) t1))
51.6%
(neg.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 u v)))
50.2%
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v u)))
Compiler

Compiled 543 to 345 computations (36.5% saved)

simplify149.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 t1 (+.f64 t1 u))
✓cost-diff0
(/.f64 u (/.f64 t1 (+.f64 t1 u)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (/.f64 u (/.f64 t1 (+.f64 t1 u))))
✓cost-diff128
(*.f64 v (/.f64 #s(literal -1 binary64) (/.f64 u (/.f64 t1 (+.f64 t1 u)))))
✓cost-diff0
(-.f64 #s(literal 0 binary64) u)
✓cost-diff0
(/.f64 (-.f64 #s(literal 0 binary64) u) t1)
✓cost-diff0
(/.f64 v u)
✓cost-diff0
(/.f64 (/.f64 v u) (/.f64 (-.f64 #s(literal 0 binary64) u) t1))
✓cost-diff-64
(neg.f64 (/.f64 t1 u))
✓cost-diff0
(/.f64 t1 u)
✓cost-diff0
(*.f64 v (neg.f64 (/.f64 t1 u)))
✓cost-diff0
(/.f64 (*.f64 v (neg.f64 (/.f64 t1 u))) u)
✓cost-diff0
(/.f64 #s(literal -1 binary64) t1)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
✓cost-diff0
(/.f64 (+.f64 t1 u) t1)
✓cost-diff0
(/.f64 v (/.f64 (+.f64 t1 u) t1))
✓cost-diff0
(/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) (+.f64 t1 u))
✓cost-diff64
(neg.f64 (/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) (+.f64 t1 u)))
Rules
2614×sum4-define
2366×*-lowering-*.f32
2366×*-lowering-*.f64
1548×fma-define
1486×times-frac
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024136
164134
2179125
3483125
41117123
52316122
67345122
08095122
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(neg (/ (/ v (/ (+ t1 u) t1)) (+ t1 u)))
(/ (/ v (/ (+ t1 u) t1)) (+ t1 u))
(/ v (/ (+ t1 u) t1))
v
(/ (+ t1 u) t1)
(+ t1 u)
t1
u
(* (/ -1 t1) v)
(/ -1 t1)
-1
t1
v
(/ (* v (neg (/ t1 u))) u)
(* v (neg (/ t1 u)))
v
(neg (/ t1 u))
(/ t1 u)
t1
u
(/ (/ v u) (/ (- 0 u) t1))
(/ v u)
v
u
(/ (- 0 u) t1)
(- 0 u)
0
t1
(* v (/ -1 (/ u (/ t1 (+ t1 u)))))
v
(/ -1 (/ u (/ t1 (+ t1 u))))
-1
(/ u (/ t1 (+ t1 u)))
u
(/ t1 (+ t1 u))
t1
(+ t1 u)
Outputs
(neg (/ (/ v (/ (+ t1 u) t1)) (+ t1 u)))
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(/ (/ v (/ (+ t1 u) t1)) (+ t1 u))
(/.f64 v (*.f64 (+.f64 t1 u) (+.f64 (/.f64 u t1) #s(literal 1 binary64))))
(/ v (/ (+ t1 u) t1))
(/.f64 v (+.f64 (/.f64 u t1) #s(literal 1 binary64)))
v
(/ (+ t1 u) t1)
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(+ t1 u)
(+.f64 t1 u)
t1
u
(* (/ -1 t1) v)
(*.f64 v (/.f64 #s(literal -1 binary64) t1))
(/ -1 t1)
(/.f64 #s(literal -1 binary64) t1)
-1
#s(literal -1 binary64)
t1
v
(/ (* v (neg (/ t1 u))) u)
(/.f64 v (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 u u) t1)))
(* v (neg (/ t1 u)))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
v
(neg (/ t1 u))
(-.f64 #s(literal 0 binary64) (/.f64 t1 u))
(/ t1 u)
(/.f64 t1 u)
t1
u
(/ (/ v u) (/ (- 0 u) t1))
(/.f64 v (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 u u) t1)))
(/ v u)
(/.f64 v u)
v
u
(/ (- 0 u) t1)
(/.f64 u (-.f64 #s(literal 0 binary64) t1))
(- 0 u)
(-.f64 #s(literal 0 binary64) u)
0
#s(literal 0 binary64)
t1
(* v (/ -1 (/ u (/ t1 (+ t1 u)))))
(/.f64 (/.f64 v u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
v
(/ -1 (/ u (/ t1 (+ t1 u))))
(/.f64 (/.f64 #s(literal -1 binary64) u) (+.f64 (/.f64 u t1) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(/ u (/ t1 (+ t1 u)))
(*.f64 u (+.f64 (/.f64 u t1) #s(literal 1 binary64)))
u
(/ t1 (+ t1 u))
(/.f64 t1 (+.f64 t1 u))
t1
(+ t1 u)
(+.f64 t1 u)

localize179.0ms (1.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 t1 (+.f64 t1 u))
✓accuracy99.9%
(/.f64 u (/.f64 t1 (+.f64 t1 u)))
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (/.f64 u (/.f64 t1 (+.f64 t1 u))))
✓accuracy95.0%
(*.f64 v (/.f64 #s(literal -1 binary64) (/.f64 u (/.f64 t1 (+.f64 t1 u)))))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 0 binary64) u) t1)
✓accuracy100.0%
(/.f64 v u)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) u)
✓accuracy96.1%
(/.f64 (/.f64 v u) (/.f64 (-.f64 #s(literal 0 binary64) u) t1))
✓accuracy100.0%
(/.f64 t1 u)
✓accuracy100.0%
(neg.f64 (/.f64 t1 u))
✓accuracy96.7%
(/.f64 (*.f64 v (neg.f64 (/.f64 t1 u))) u)
✓accuracy93.2%
(*.f64 v (neg.f64 (/.f64 t1 u)))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) t1)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
✓accuracy100.0%
(neg.f64 (/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) (+.f64 t1 u)))
✓accuracy100.0%
(/.f64 (+.f64 t1 u) t1)
✓accuracy98.4%
(/.f64 v (/.f64 (+.f64 t1 u) t1))
✓accuracy98.2%
(/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) (+.f64 t1 u))
Results
147.0ms256×0valid
Compiler

Compiled 143 to 25 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 21.0ms (40.7% of total)
ival-add: 21.0ms (40.7% of total)
ival-mult: 5.0ms (9.7% of total)
ival-neg: 2.0ms (3.9% of total)
ival-sub: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series20.0ms (0.2%)

Counts
18 → 492
Calls
Call 1
Inputs
#<alt (neg (/ (/ v (/ (+ t1 u) t1)) (+ t1 u)))>
#<alt (/ (/ v (/ (+ t1 u) t1)) (+ t1 u))>
#<alt (/ v (/ (+ t1 u) t1))>
#<alt (/ (+ t1 u) t1)>
#<alt (* (/ -1 t1) v)>
#<alt (/ -1 t1)>
#<alt (/ (* v (neg (/ t1 u))) u)>
#<alt (* v (neg (/ t1 u)))>
#<alt (/ t1 u)>
#<alt (neg (/ t1 u))>
#<alt (/ (/ v u) (/ (- 0 u) t1))>
#<alt (/ v u)>
#<alt (/ (- 0 u) t1)>
#<alt (- 0 u)>
#<alt (* v (/ -1 (/ u (/ t1 (+ t1 u)))))>
#<alt (/ -1 (/ u (/ t1 (+ t1 u))))>
#<alt (/ u (/ t1 (+ 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 (- (* 2 (/ (* t1 v) (pow u 3))) (/ v (pow u 2))))>
#<alt (* t1 (- (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))) (/ v (pow u 2))))>
#<alt (* t1 (- (* 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))))))) (/ v (pow u 2))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (- (* 2 (/ (* u v) t1)) v) t1)>
#<alt (/ (- (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))) v) 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))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))))) v) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1)) (* -1 v)) t1))>
#<alt (* -1 (/ (- (* -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)) (* -1 v)) t1))>
#<alt (* -1 (/ v t1))>
#<alt (- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (- (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))) (/ v t1))>
#<alt (- (* 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))))))) (/ v t1))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (- (* 2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))>
#<alt (/ (- (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2)))) (* t1 v)) (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))) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2)))))) (* t1 v)) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (- (* 2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))>
#<alt (/ (- (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u)) (* t1 v)) (pow u 2))>
#<alt (/ (- (* -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)) (* t1 v)) (pow u 2))>
#<alt (/ (* t1 v) (pow (+ t1 u) 2))>
#<alt (/ (* t1 v) (pow (+ t1 u) 2))>
#<alt (/ (* t1 v) (pow (+ t1 u) 2))>
#<alt (/ (* t1 v) (pow (+ t1 u) 2))>
#<alt (/ (* t1 v) (pow (+ t1 u) 2))>
#<alt (/ (* t1 v) (pow (+ t1 u) 2))>
#<alt (/ (* t1 v) (pow (+ t1 u) 2))>
#<alt (/ (* t1 v) (pow (+ t1 u) 2))>
#<alt (/ (* t1 v) (pow (+ t1 u) 2))>
#<alt (/ (* t1 v) (pow (+ t1 u) 2))>
#<alt (/ (* t1 v) (pow (+ t1 u) 2))>
#<alt (/ (* t1 v) (pow (+ t1 u) 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (* t1 (+ (* -2 (/ (* t1 v) (pow u 3))) (/ v (pow u 2))))>
#<alt (* t1 (+ (* t1 (- (* -1 (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))) (* 2 (/ v (pow u 3))))) (/ v (pow u 2))))>
#<alt (* t1 (+ (* t1 (- (* t1 (- (* -1 (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u))))) (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))) (* 2 (/ v (pow u 3))))) (/ v (pow u 2))))>
#<alt (/ v t1)>
#<alt (/ (+ v (* -2 (/ (* u v) t1))) t1)>
#<alt (/ (- (+ v (* -1 (/ (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)) (pow t1 2)))) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (- (+ v (* -1 (/ (+ (* -2 (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)))) (* -2 (* (pow u 3) v))) (pow t1 3)))) (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ v t1)>
#<alt (* -1 (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)) t1))) t1))) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (+ (* -1 (/ (+ (* 2 (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)))) (* 2 (* (pow u 3) v))) t1)) (* (pow u 2) v))) t1))) t1))) t1))>
#<alt (/ v t1)>
#<alt (+ (* -2 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (+ (* u (- (* -1 (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))) (* 2 (/ v (pow t1 2))))) (/ v t1))>
#<alt (+ (* u (- (* u (- (* -1 (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1))))) (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))) (* 2 (/ v (pow t1 2))))) (/ v t1))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (+ (* -2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) (pow u 2))) (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* -2 (* (pow t1 4) v))) (pow u 3))) (* t1 v)) (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (+ (* -2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow t1 3) v) u)) (/ (* (pow t1 3) v) u)) (* -2 (* (pow t1 2) v))) u)) (* t1 v)) (pow u 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) u)) (* 2 (/ (* (pow t1 4) v) u))) (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) u)) (* -2 (* (pow t1 2) v))) u)) (* t1 v)) (pow u 2))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) u)>
#<alt (* t1 (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u)))>
#<alt (* t1 (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u)))>
#<alt (* t1 (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u)))>
#<alt v>
#<alt (+ v (* -1 (/ (* u v) t1)))>
#<alt (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))>
#<alt (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)))>
#<alt v>
#<alt (+ v (* -1 (/ (* u v) t1)))>
#<alt (+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1)))>
#<alt (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1)))>
#<alt v>
#<alt (+ v (* -1 (/ (* u v) t1)))>
#<alt (+ v (* u (- (/ (* u v) (pow t1 2)) (/ v t1))))>
#<alt (+ v (* u (- (* u (- (* -1 (/ (* u v) (pow t1 3))) (* -1 (/ v (pow t1 2))))) (/ v t1))))>
#<alt (/ (* t1 v) u)>
#<alt (/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u)>
#<alt (/ (- (+ (* t1 v) (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u)) u)>
#<alt (/ (- (+ (* -1 (/ (* (pow t1 4) v) (pow u 3))) (* t1 v)) (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u))) u)>
#<alt (/ (* t1 v) u)>
#<alt (* -1 (/ (+ (* -1 (* t1 v)) (/ (* (pow t1 2) v) u)) u))>
#<alt (* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u))) u))>
#<alt (* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 4) v) u) (* (pow t1 3) v)) u)) (* (pow t1 2) v)) u))) u))>
#<alt (/ u t1)>
#<alt (/ (+ t1 u) t1)>
#<alt (/ (+ t1 u) t1)>
#<alt (/ (+ t1 u) t1)>
#<alt 1>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt 1>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt 1>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt (/ u t1)>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (/ u t1)>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (* u (+ (/ 1 t1) (/ 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 (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ t1 u))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ 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 t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (/ u t1))>
#<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) (* 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 (/ (- (/ (* (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) (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 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 (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 u>
#<alt (* u (+ 1 (/ u t1)))>
#<alt (* u (+ 1 (/ u t1)))>
#<alt (* u (+ 1 (/ u t1)))>
#<alt (/ (pow u 2) t1)>
#<alt (* (pow u 2) (+ (/ 1 t1) (/ 1 u)))>
#<alt (* (pow u 2) (+ (/ 1 t1) (/ 1 u)))>
#<alt (* (pow u 2) (+ (/ 1 t1) (/ 1 u)))>
#<alt (/ (pow u 2) t1)>
#<alt (* (pow u 2) (+ (/ 1 t1) (/ 1 u)))>
#<alt (* (pow u 2) (+ (/ 1 t1) (/ 1 u)))>
#<alt (* (pow u 2) (+ (/ 1 t1) (/ 1 u)))>
#<alt (/ (pow u 2) t1)>
#<alt (/ (+ (* t1 u) (pow u 2)) t1)>
#<alt (/ (+ (* t1 u) (pow u 2)) t1)>
#<alt (/ (+ (* t1 u) (pow u 2)) t1)>
#<alt u>
#<alt (+ u (/ (pow u 2) t1))>
#<alt (+ u (/ (pow u 2) t1))>
#<alt (+ u (/ (pow u 2) t1))>
#<alt u>
#<alt (+ u (/ (pow u 2) t1))>
#<alt (+ u (/ (pow u 2) t1))>
#<alt (+ u (/ (pow u 2) t1))>
#<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

123 calls:

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

rewrite351.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
5330×*-lowering-*.f32
5330×*-lowering-*.f64
3566×/-lowering-/.f32
3566×/-lowering-/.f64
1586×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024113
1151108
21210102
08776102
Stop Event
1×iter limit
1×node limit
Counts
18 → 1298
Calls
Call 1
Inputs
(neg (/ (/ v (/ (+ t1 u) t1)) (+ t1 u)))
(/ (/ v (/ (+ t1 u) t1)) (+ t1 u))
(/ v (/ (+ t1 u) t1))
(/ (+ t1 u) t1)
(* (/ -1 t1) v)
(/ -1 t1)
(/ (* v (neg (/ t1 u))) u)
(* v (neg (/ t1 u)))
(/ t1 u)
(neg (/ t1 u))
(/ (/ v u) (/ (- 0 u) t1))
(/ v u)
(/ (- 0 u) t1)
(- 0 u)
(* v (/ -1 (/ u (/ t1 (+ t1 u)))))
(/ -1 (/ u (/ t1 (+ t1 u))))
(/ u (/ t1 (+ t1 u)))
(/ t1 (+ t1 u))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(+.f64 (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))) (*.f64 t1 t1)) (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))) (*.f64 u (-.f64 u t1))))
(+.f64 (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))) (*.f64 u (-.f64 u t1))) (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))) (*.f64 t1 t1)))
(+.f64 (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (+.f64 (-.f64 #s(literal 0 binary64) t1) u))) t1) (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (+.f64 (-.f64 #s(literal 0 binary64) t1) u))) (-.f64 #s(literal 0 binary64) u)))
(+.f64 (*.f64 (*.f64 t1 t1) (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))))) (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))))))
(+.f64 (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))))) (*.f64 (*.f64 t1 t1) (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))))))
(+.f64 (*.f64 t1 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (+.f64 (-.f64 #s(literal 0 binary64) t1) u)))) (*.f64 (-.f64 #s(literal 0 binary64) u) (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (+.f64 (-.f64 #s(literal 0 binary64) t1) u)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (+.f64 t1 u)))
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(*.f64 (/.f64 u (/.f64 t1 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1)))))
(*.f64 (/.f64 u (/.f64 t1 (-.f64 (*.f64 t1 t1) (*.f64 u u)))) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(*.f64 (pow.f64 (/.f64 t1 (*.f64 u (+.f64 t1 u))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t1 (*.f64 u (+.f64 t1 u))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) u) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (/.f64 #s(literal 1 binary64) t1))
(*.f64 (*.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) u)) (/.f64 #s(literal -1 binary64) t1))
(*.f64 (*.f64 (+.f64 t1 u) u) (/.f64 #s(literal 1 binary64) t1))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) u) #s(literal -1 binary64)) (/.f64 (+.f64 t1 u) t1))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 u (+.f64 t1 u))) (/.f64 #s(literal 1 binary64) t1))
(*.f64 (*.f64 (*.f64 u (+.f64 t1 u)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t1))
(+.f64 (*.f64 (/.f64 t1 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1)) (*.f64 (/.f64 t1 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1))))
(+.f64 (*.f64 (/.f64 t1 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1))) (*.f64 (/.f64 t1 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1)))
(+.f64 (*.f64 (/.f64 t1 (-.f64 (*.f64 t1 t1) (*.f64 u u))) t1) (*.f64 (/.f64 t1 (-.f64 (*.f64 t1 t1) (*.f64 u u))) (-.f64 #s(literal 0 binary64) u)))
(+.f64 (*.f64 (*.f64 t1 t1) (/.f64 t1 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))) (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 t1 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))))
(+.f64 (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 t1 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))) (*.f64 (*.f64 t1 t1) (/.f64 t1 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))))
(+.f64 (*.f64 t1 (/.f64 t1 (-.f64 (*.f64 t1 t1) (*.f64 u u)))) (*.f64 (-.f64 #s(literal 0 binary64) u) (/.f64 t1 (-.f64 (*.f64 t1 t1) (*.f64 u u)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 t1 u) t1)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 t1 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (/.f64 t1 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(neg.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(neg.f64 (/.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) #s(literal 1 binary64)))
(/.f64 t1 (+.f64 t1 u))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) t1)))
(/.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) t1) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
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(/.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))
(pow.f64 (/.f64 (+.f64 t1 u) t1) #s(literal -1 binary64))
(pow.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal 1 binary64))
(*.f64 t1 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)))
(*.f64 #s(literal -1 binary64) (/.f64 t1 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) t1)
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(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1))
(*.f64 (/.f64 t1 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u)))) (+.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))
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(*.f64 (/.f64 t1 (-.f64 (*.f64 t1 t1) (*.f64 u u))) (-.f64 t1 u))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t1 t1) (*.f64 u u))) #s(literal 1 binary64)) (/.f64 (-.f64 t1 u) (/.f64 #s(literal 1 binary64) t1)))
(*.f64 (pow.f64 (/.f64 (+.f64 t1 u) t1) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 t1 u) t1) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 t1 (+.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u (*.f64 u u))))) (+.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 t1 (-.f64 (*.f64 t1 t1) (*.f64 u u)))) (-.f64 t1 u))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) #s(literal -1 binary64)) t1)

simplify355.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
3784×*-lowering-*.f32
3784×*-lowering-*.f64
2664×+-lowering-+.f64
2664×+-lowering-+.f32
1876×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05844526
120754049
269164042
082304042
Stop Event
1×iter limit
1×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)))
(* -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 (- (* 2 (/ (* t1 v) (pow u 3))) (/ v (pow u 2))))
(* t1 (- (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))) (/ v (pow u 2))))
(* t1 (- (* 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))))))) (/ v (pow u 2))))
(* -1 (/ v t1))
(/ (- (* 2 (/ (* u v) t1)) v) t1)
(/ (- (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))) 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))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))))) v) t1)
(* -1 (/ v t1))
(* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1))
(* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1)) (* -1 v)) t1))
(* -1 (/ (- (* -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)) (* -1 v)) t1))
(* -1 (/ v t1))
(- (* 2 (/ (* u v) (pow t1 2))) (/ v t1))
(- (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))) (/ 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))))))) (/ v t1))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (- (* 2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))
(/ (- (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2)))) (* t1 v)) (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))) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2)))))) (* t1 v)) (pow u 2))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (- (* 2 (/ (* (pow t1 2) v) u)) (* t1 v)) (pow u 2))
(/ (- (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u)) (* t1 v)) (pow u 2))
(/ (- (* -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)) (* t1 v)) (pow u 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow (+ t1 u) 2))
(/ (* t1 v) (pow u 2))
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(*.f64 u (+.f64 (/.f64 u t1) #s(literal 1 binary64)))
(+ u (/ (pow u 2) t1))
(*.f64 u (+.f64 (/.f64 u t1) #s(literal 1 binary64)))
u
(+ u (/ (pow u 2) t1))
(*.f64 u (+.f64 (/.f64 u t1) #s(literal 1 binary64)))
(+ u (/ (pow u 2) t1))
(*.f64 u (+.f64 (/.f64 u t1) #s(literal 1 binary64)))
(+ u (/ (pow u 2) t1))
(*.f64 u (+.f64 (/.f64 u t1) #s(literal 1 binary64)))
(/ t1 u)
(/.f64 t1 u)
(* t1 (+ (* -1 (/ t1 (pow u 2))) (/ 1 u)))
(*.f64 t1 (-.f64 (/.f64 #s(literal 1 binary64) u) (/.f64 t1 (*.f64 u u))))
(* t1 (+ (* t1 (- (/ t1 (pow u 3)) (/ 1 (pow u 2)))) (/ 1 u)))
(*.f64 t1 (+.f64 (/.f64 #s(literal 1 binary64) u) (*.f64 t1 (+.f64 (/.f64 t1 (*.f64 u (*.f64 u u))) (/.f64 #s(literal -1 binary64) (*.f64 u u))))))
(* t1 (+ (* t1 (- (* t1 (+ (* -1 (/ t1 (pow u 4))) (/ 1 (pow u 3)))) (/ 1 (pow u 2)))) (/ 1 u)))
(*.f64 t1 (+.f64 (/.f64 #s(literal 1 binary64) u) (*.f64 t1 (+.f64 (*.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))))))
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))
(+.f64 #s(literal 1 binary64) (*.f64 u (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 u t1)) t1)))
(- (+ 1 (* -1 (/ (pow u 3) (pow t1 3)))) (+ (* -1 (/ (pow u 2) (pow t1 2))) (/ u t1)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 u (*.f64 u u)) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 u (-.f64 (/.f64 #s(literal 1 binary64) t1) (/.f64 u (*.f64 t1 t1)))))
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)))
(+.f64 #s(literal 1 binary64) (*.f64 u (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 u t1)) t1)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow u 3) t1)) (* -1 (pow u 2))) t1)) (* -1 u)) t1)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 u (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 u (*.f64 u u)) t1) (*.f64 u u))) t1)) t1))
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))))
(+.f64 #s(literal 1 binary64) (*.f64 u (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 u t1)) t1)))
(+ 1 (* u (- (* u (+ (* -1 (/ u (pow t1 3))) (/ 1 (pow t1 2)))) (/ 1 t1))))
(+.f64 #s(literal 1 binary64) (*.f64 u (+.f64 (neg.f64 (*.f64 (/.f64 u (*.f64 t1 (*.f64 t1 t1))) u)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 u t1)) t1))))
(/ 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 (-.f64 (/.f64 (*.f64 t1 (*.f64 t1 t1)) u) (*.f64 t1 t1)) u)) u)
(/ (- (+ t1 (* -1 (/ (pow t1 4) (pow u 3)))) (+ (* -1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u))) u)
(/.f64 (-.f64 (-.f64 t1 (/.f64 (pow.f64 t1 #s(literal 4 binary64)) (*.f64 u (*.f64 u u)))) (-.f64 (/.f64 (*.f64 t1 t1) u) (/.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u u)))) u)
(/ t1 u)
(/.f64 t1 u)
(* -1 (/ (+ (* -1 t1) (/ (pow t1 2) u)) u))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t1 t1) u) t1) u))
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (/ (pow t1 3) u) (pow t1 2)) u))) u))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 t1 (/.f64 (-.f64 (/.f64 (*.f64 t1 (*.f64 t1 t1)) u) (*.f64 t1 t1)) u))) u)
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (* -1 (/ (- (/ (pow t1 4) u) (pow t1 3)) u)) (pow t1 2)) u))) u))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 t1 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 t1 #s(literal 4 binary64)) u) (*.f64 t1 (*.f64 t1 t1))) (-.f64 #s(literal 0 binary64) u)) (*.f64 t1 t1)) u))) u)

eval240.0ms (2.2%)

Compiler

Compiled 28669 to 3972 computations (86.1% saved)

prune565.0ms (5.3%)

Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New1776141790
Fresh9817
Picked415
Done011
Total1789241813
Accuracy
100.0%
Counts
1813 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.4%
(/.f64 (/.f64 (neg.f64 (*.f64 t1 v)) u) u)
50.1%
(/.f64 (/.f64 v u) (/.f64 (neg.f64 u) t1))
18.3%
(/.f64 (/.f64 v u) #s(literal -1 binary64))
47.2%
(/.f64 (/.f64 #s(literal -1 binary64) u) (/.f64 (+.f64 t1 u) (*.f64 v t1)))
51.6%
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) v) t1)
44.2%
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
49.1%
(/.f64 (*.f64 v (*.f64 (/.f64 #s(literal -1 binary64) u) t1)) u)
✓56.0%
(/.f64 v (neg.f64 t1))
55.2%
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
50.1%
(*.f64 (/.f64 (/.f64 v u) #s(literal -1 binary64)) (/.f64 t1 u))
✓55.8%
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
48.9%
(*.f64 (*.f64 (/.f64 v u) t1) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
44.5%
(*.f64 v (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 u u) t1)))
18.3%
(*.f64 v (/.f64 #s(literal -1 binary64) u))
83.2%
(neg.f64 (/.f64 (/.f64 (*.f64 v t1) (+.f64 t1 u)) (+.f64 t1 u)))
47.2%
(neg.f64 (/.f64 (/.f64 (*.f64 t1 v) u) (+.f64 t1 u)))
97.8%
(neg.f64 (/.f64 (/.f64 v (+.f64 (/.f64 u t1) #s(literal 1 binary64))) (+.f64 t1 u)))
68.1%
(neg.f64 (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) v)) t1))
51.6%
(neg.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 u v)))
52.5%
(neg.f64 (/.f64 (/.f64 t1 u) (/.f64 u v)))
46.3%
(neg.f64 (/.f64 v (/.f64 u (/.f64 t1 u))))
64.5%
(neg.f64 (/.f64 v (+.f64 t1 u)))
95.0%
(neg.f64 (*.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (+.f64 t1 u)) v))
50.2%
(neg.f64 (*.f64 (/.f64 v u) (/.f64 t1 (+.f64 t1 u))))
Compiler

Compiled 863 to 341 computations (60.5% saved)

regimes82.0ms (0.8%)

Counts
60 → 1
Calls
Call 1
Inputs
(/.f64 v (neg.f64 t1))
(*.f64 v (/.f64 #s(literal -1 binary64) u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
(/.f64 v (-.f64 #s(literal 0 binary64) u))
(/.f64 (/.f64 v u) #s(literal -1 binary64))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
(neg.f64 (/.f64 v (/.f64 u (/.f64 t1 u))))
(neg.f64 (/.f64 (/.f64 t1 u) (/.f64 u v)))
(*.f64 t1 (neg.f64 (/.f64 v (*.f64 u u))))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v u) u)))
(/.f64 (*.f64 v (neg.f64 (/.f64 t1 u))) u)
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u t1))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
(/.f64 (/.f64 v u) (/.f64 (neg.f64 u) t1))
(/.f64 (/.f64 (neg.f64 (*.f64 t1 v)) u) u)
(*.f64 t1 (*.f64 (/.f64 v u) (/.f64 #s(literal -1 binary64) u)))
(*.f64 t1 (/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) u)) u))
(*.f64 v (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 u u) t1)))
(*.f64 (/.f64 v #s(literal -1 binary64)) (/.f64 (/.f64 t1 u) u))
(*.f64 (/.f64 (/.f64 v u) #s(literal -1 binary64)) (/.f64 t1 u))
(/.f64 t1 (/.f64 (*.f64 u u) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 v (*.f64 (/.f64 #s(literal -1 binary64) u) t1)) u)
(/.f64 (/.f64 v u) (/.f64 (-.f64 #s(literal 0 binary64) u) t1))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) u) u)
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v u)))
(neg.f64 (*.f64 (/.f64 v u) (/.f64 t1 (+.f64 t1 u))))
(neg.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 u v)))
(neg.f64 (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) v)) t1))
(neg.f64 (/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) u))
(neg.f64 (/.f64 (/.f64 (*.f64 t1 v) u) (+.f64 t1 u)))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) t1))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) u))
(*.f64 v (/.f64 #s(literal -1 binary64) (/.f64 u (/.f64 t1 (+.f64 t1 u)))))
(*.f64 (*.f64 (/.f64 v u) t1) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
(/.f64 t1 (*.f64 (/.f64 u v) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) v) t1)
(/.f64 (/.f64 #s(literal -1 binary64) u) (/.f64 (+.f64 t1 u) (*.f64 v t1)))
(/.f64 (/.f64 v u) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1))
(/.f64 (/.f64 (/.f64 v u) (+.f64 t1 u)) (/.f64 #s(literal -1 binary64) t1))
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (+.f64 t1 u))))
(neg.f64 (*.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (+.f64 t1 u)) v))
(neg.f64 (/.f64 v (/.f64 (+.f64 t1 u) (/.f64 t1 (+.f64 t1 u)))))
(neg.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v)))
(neg.f64 (/.f64 (/.f64 v (+.f64 (/.f64 u t1) #s(literal 1 binary64))) (+.f64 t1 u)))
(neg.f64 (/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) (+.f64 t1 u)))
(neg.f64 (/.f64 (/.f64 (*.f64 v t1) (+.f64 t1 u)) (+.f64 t1 u)))
(*.f64 t1 (neg.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(/.f64 (neg.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1)) (+.f64 t1 u))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (*.f64 t1 (/.f64 v (+.f64 t1 u))))
(*.f64 (/.f64 v #s(literal -1 binary64)) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(/.f64 t1 (*.f64 (/.f64 (+.f64 t1 u) v) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(/.f64 v (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 #s(literal -1 binary64) (+.f64 t1 u))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))) (/.f64 (+.f64 t1 u) v))
(/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1))
(/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1)))
Outputs
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (+.f64 t1 u))))
Calls

4 calls:

23.0ms
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
19.0ms
u
18.0ms
t1
17.0ms
v
Results
AccuracySegmentsBranch
98.1%1u
98.1%1v
98.1%1t1
98.1%1(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes41.0ms (0.4%)

Counts
42 → 3
Calls
Call 1
Inputs
(/.f64 v (neg.f64 t1))
(*.f64 v (/.f64 #s(literal -1 binary64) u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
(/.f64 v (-.f64 #s(literal 0 binary64) u))
(/.f64 (/.f64 v u) #s(literal -1 binary64))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
(neg.f64 (/.f64 v (/.f64 u (/.f64 t1 u))))
(neg.f64 (/.f64 (/.f64 t1 u) (/.f64 u v)))
(*.f64 t1 (neg.f64 (/.f64 v (*.f64 u u))))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v u) u)))
(/.f64 (*.f64 v (neg.f64 (/.f64 t1 u))) u)
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u t1))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
(/.f64 (/.f64 v u) (/.f64 (neg.f64 u) t1))
(/.f64 (/.f64 (neg.f64 (*.f64 t1 v)) u) u)
(*.f64 t1 (*.f64 (/.f64 v u) (/.f64 #s(literal -1 binary64) u)))
(*.f64 t1 (/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) u)) u))
(*.f64 v (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 u u) t1)))
(*.f64 (/.f64 v #s(literal -1 binary64)) (/.f64 (/.f64 t1 u) u))
(*.f64 (/.f64 (/.f64 v u) #s(literal -1 binary64)) (/.f64 t1 u))
(/.f64 t1 (/.f64 (*.f64 u u) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 v (*.f64 (/.f64 #s(literal -1 binary64) u) t1)) u)
(/.f64 (/.f64 v u) (/.f64 (-.f64 #s(literal 0 binary64) u) t1))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) u) u)
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v u)))
(neg.f64 (*.f64 (/.f64 v u) (/.f64 t1 (+.f64 t1 u))))
(neg.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 u v)))
(neg.f64 (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) v)) t1))
(neg.f64 (/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) u))
(neg.f64 (/.f64 (/.f64 (*.f64 t1 v) u) (+.f64 t1 u)))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) t1))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) u))
(*.f64 v (/.f64 #s(literal -1 binary64) (/.f64 u (/.f64 t1 (+.f64 t1 u)))))
(*.f64 (*.f64 (/.f64 v u) t1) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
(/.f64 t1 (*.f64 (/.f64 u v) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(/.f64 (-.f64 (/.f64 (*.f64 v (*.f64 u #s(literal 2 binary64))) t1) v) t1)
(/.f64 (/.f64 #s(literal -1 binary64) u) (/.f64 (+.f64 t1 u) (*.f64 v t1)))
(/.f64 (/.f64 v u) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1))
(/.f64 (/.f64 (/.f64 v u) (+.f64 t1 u)) (/.f64 #s(literal -1 binary64) t1))
Outputs
(neg.f64 (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) v)) t1))
(neg.f64 (/.f64 (/.f64 t1 u) (/.f64 u v)))
(neg.f64 (/.f64 v (+.f64 t1 u)))
Calls

3 calls:

13.0ms
t1
13.0ms
u
12.0ms
v
Results
AccuracySegmentsBranch
81.6%3u
72.2%3v
84.7%3t1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts
30 → 3
Calls
Call 1
Inputs
(/.f64 v (neg.f64 t1))
(*.f64 v (/.f64 #s(literal -1 binary64) u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
(/.f64 v (-.f64 #s(literal 0 binary64) u))
(/.f64 (/.f64 v u) #s(literal -1 binary64))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
(neg.f64 (/.f64 v (/.f64 u (/.f64 t1 u))))
(neg.f64 (/.f64 (/.f64 t1 u) (/.f64 u v)))
(*.f64 t1 (neg.f64 (/.f64 v (*.f64 u u))))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v u) u)))
(/.f64 (*.f64 v (neg.f64 (/.f64 t1 u))) u)
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u t1))
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 u u))
(/.f64 (/.f64 v u) (/.f64 (neg.f64 u) t1))
(/.f64 (/.f64 (neg.f64 (*.f64 t1 v)) u) u)
(*.f64 t1 (*.f64 (/.f64 v u) (/.f64 #s(literal -1 binary64) u)))
(*.f64 t1 (/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) u)) u))
(*.f64 v (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 u u) t1)))
(*.f64 (/.f64 v #s(literal -1 binary64)) (/.f64 (/.f64 t1 u) u))
(*.f64 (/.f64 (/.f64 v u) #s(literal -1 binary64)) (/.f64 t1 u))
(/.f64 t1 (/.f64 (*.f64 u u) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 v (*.f64 (/.f64 #s(literal -1 binary64) u) t1)) u)
(/.f64 (/.f64 v u) (/.f64 (-.f64 #s(literal 0 binary64) u) t1))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 v)) u) u)
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v u)))
(neg.f64 (*.f64 (/.f64 v u) (/.f64 t1 (+.f64 t1 u))))
(neg.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 u v)))
Outputs
(neg.f64 (/.f64 v (+.f64 t1 u)))
(neg.f64 (/.f64 (/.f64 t1 u) (/.f64 u v)))
(neg.f64 (/.f64 v (+.f64 t1 u)))
Calls

1 calls:

9.0ms
t1
Results
AccuracySegmentsBranch
84.1%3t1
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 v (neg.f64 t1))
(*.f64 v (/.f64 #s(literal -1 binary64) u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
(/.f64 v (-.f64 #s(literal 0 binary64) u))
(/.f64 (/.f64 v u) #s(literal -1 binary64))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
(neg.f64 (/.f64 v (/.f64 u (/.f64 t1 u))))
Outputs
(neg.f64 (/.f64 v (+.f64 t1 u)))
(neg.f64 (/.f64 v (/.f64 u (/.f64 t1 u))))
(neg.f64 (/.f64 v (+.f64 t1 u)))
Calls

1 calls:

13.0ms
t1
Results
AccuracySegmentsBranch
81.9%3t1
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 v (neg.f64 t1))
(*.f64 v (/.f64 #s(literal -1 binary64) u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
(/.f64 v (-.f64 #s(literal 0 binary64) u))
(/.f64 (/.f64 v u) #s(literal -1 binary64))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
Outputs
(neg.f64 (/.f64 v (+.f64 t1 u)))
Calls

3 calls:

3.0ms
t1
3.0ms
v
3.0ms
u
Results
AccuracySegmentsBranch
64.5%1v
64.5%1u
64.5%1t1
Compiler

Compiled 12 to 9 computations (25% saved)

regimes22.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
(/.f64 v (neg.f64 t1))
(*.f64 v (/.f64 #s(literal -1 binary64) u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
(/.f64 v (-.f64 #s(literal 0 binary64) u))
(/.f64 (/.f64 v u) #s(literal -1 binary64))
Outputs
(*.f64 v (/.f64 #s(literal -1 binary64) u))
(/.f64 v (neg.f64 t1))
(*.f64 v (/.f64 #s(literal -1 binary64) u))
Calls

3 calls:

16.0ms
v
3.0ms
t1
3.0ms
u
Results
AccuracySegmentsBranch
56.0%1v
56.0%1t1
62.2%3u
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 v (neg.f64 t1))
Outputs
(/.f64 v (neg.f64 t1))
Calls

3 calls:

1.0ms
u
1.0ms
v
1.0ms
t1
Results
AccuracySegmentsBranch
56.0%1v
56.0%1t1
56.0%1u
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch29.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
9.467408964341935e+65
8.352485568993187e+74
10.0ms
-8.383534334955669e-165
-9.064346272399857e-166
Results
17.0ms240×0valid
Compiler

Compiled 375 to 250 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (37.7% of total)
ival-div: 2.0ms (25.1% of total)
ival-add: 1.0ms (12.6% of total)
ival-neg: 1.0ms (12.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch62.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
9.467408964341935e+65
8.352485568993187e+74
40.0ms
-4.8161659446436296e-138
-1.4333594265953175e-141
Results
51.0ms272×0valid
Compiler

Compiled 395 to 268 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 29.0ms (79.9% of total)
ival-mult: 4.0ms (11% of total)
ival-add: 2.0ms (5.5% of total)
ival-neg: 1.0ms (2.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
9.467408964341935e+65
8.352485568993187e+74
15.0ms
-4.8161659446436296e-138
-1.4333594265953175e-141
Results
22.0ms272×0valid
Compiler

Compiled 395 to 268 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (42.4% of total)
ival-div: 2.0ms (21.2% of total)
ival-add: 2.0ms (21.2% of total)
ival-neg: 1.0ms (10.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
9.723051595490121e+232
1.397479455608679e+238
15.0ms
-1.552505881572403e+178
-6.239640554222531e+174
Results
21.0ms272×0valid
Compiler

Compiled 310 to 234 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (43.8% of total)
ival-div: 2.0ms (21.9% of total)
ival-add: 2.0ms (21.9% of total)
ival-neg: 1.0ms (10.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
36×*-commutative_binary64
34×+-commutative_binary64
32×sub-neg_binary64
32×neg-sub0_binary64
32×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044118
187118
2133118
3163118
4175118
5177118
Stop Event
1×saturated
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (+.f64 t1 u))))
(if (<=.f64 t1 #s(literal -2126626729051509/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) (neg.f64 (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) v)) t1)) (if (<=.f64 t1 #s(literal 950000000000000050945932442930638310963576464746510112210200559616 binary64)) (neg.f64 (/.f64 (/.f64 t1 u) (/.f64 u v))) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -3603348381172073/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 950000000000000050945932442930638310963576464746510112210200559616 binary64)) (neg.f64 (/.f64 (/.f64 t1 u) (/.f64 u v))) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -3184354383361367/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 950000000000000050945932442930638310963576464746510112210200559616 binary64)) (neg.f64 (/.f64 v (/.f64 u (/.f64 t1 u)))) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(if (<=.f64 u #s(literal -16000000000000001103321080589513327002877217573638993585500525289546501130275340073058988793870484566825599726870679342084806142407652179131257307497237878364157318172021620736 binary64)) (*.f64 v (/.f64 #s(literal -1 binary64) u)) (if (<=.f64 u #s(literal 2100000000000000055168362117420913035784941016708913937377886090247666726013316157611074293959384032777923133276027600314262283513311335750899598107326465861575764013701264809208525813935872567106805944687050539639212565843084811698176 binary64)) (/.f64 v (neg.f64 t1)) (*.f64 v (/.f64 #s(literal -1 binary64) u))))
(/.f64 v (neg.f64 t1))
Outputs
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (+.f64 t1 u))))
(*.f64 (/.f64 t1 (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))))
(if (<=.f64 t1 #s(literal -2126626729051509/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) (neg.f64 (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) v)) t1)) (if (<=.f64 t1 #s(literal 950000000000000050945932442930638310963576464746510112210200559616 binary64)) (neg.f64 (/.f64 (/.f64 t1 u) (/.f64 u v))) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -2126626729051509/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) v)) (-.f64 #s(literal 0 binary64) t1)) (if (<=.f64 t1 #s(literal 950000000000000050945932442930638310963576464746510112210200559616 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 u)) (/.f64 u v)) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -3603348381172073/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 950000000000000050945932442930638310963576464746510112210200559616 binary64)) (neg.f64 (/.f64 (/.f64 t1 u) (/.f64 u v))) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -3603348381172073/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 950000000000000050945932442930638310963576464746510112210200559616 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 u)) (/.f64 u v)) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -3184354383361367/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 950000000000000050945932442930638310963576464746510112210200559616 binary64)) (neg.f64 (/.f64 v (/.f64 u (/.f64 t1 u)))) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -3184354383361367/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 950000000000000050945932442930638310963576464746510112210200559616 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v (/.f64 u (/.f64 t1 u)))) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u)))))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u)))
(if (<=.f64 u #s(literal -16000000000000001103321080589513327002877217573638993585500525289546501130275340073058988793870484566825599726870679342084806142407652179131257307497237878364157318172021620736 binary64)) (*.f64 v (/.f64 #s(literal -1 binary64) u)) (if (<=.f64 u #s(literal 2100000000000000055168362117420913035784941016708913937377886090247666726013316157611074293959384032777923133276027600314262283513311335750899598107326465861575764013701264809208525813935872567106805944687050539639212565843084811698176 binary64)) (/.f64 v (neg.f64 t1)) (*.f64 v (/.f64 #s(literal -1 binary64) u))))
(if (<=.f64 u #s(literal -16000000000000001103321080589513327002877217573638993585500525289546501130275340073058988793870484566825599726870679342084806142407652179131257307497237878364157318172021620736 binary64)) (*.f64 v (/.f64 #s(literal -1 binary64) u)) (if (<=.f64 u #s(literal 2100000000000000055168362117420913035784941016708913937377886090247666726013316157611074293959384032777923133276027600314262283513311335750899598107326465861575764013701264809208525813935872567106805944687050539639212565843084811698176 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v t1)) (*.f64 v (/.f64 #s(literal -1 binary64) u))))
(/.f64 v (neg.f64 t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))

soundness2.6s (24.1%)

Rules
5330×*-lowering-*.f32
5330×*-lowering-*.f64
5250×*-lowering-*.f32
5250×*-lowering-*.f64
3960×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05844526
120754049
269164042
082304042
024113
1151108
21210102
08776102
07116037
124755340
084315340
023103
116097
2137997
0889397
022109
115597
2146597
0912597
0822
15322
241322
3545222
0855022
02371240
17931097
228711034
082931034
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 601 to 318 computations (47.1% saved)

preprocess73.0ms (0.7%)

Remove

(negabs v)

Compiler

Compiled 454 to 176 computations (61.2% saved)

end0.0ms (0%)

Profiling

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