Expression, p14

Time bar (total: 6.8s)

analyze445.0ms (6.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
25%0%0%100%0%0%0%5
25%0%0%100%0%0%0%6
25%0%0%100%0%0%0%7
37.5%0%0%100%0%0%0%8
56.3%0%0%100%0%0%0%9
56.3%0%0%100%0%0%0%10
56.3%0%0%100%0%0%0%11
65.6%0%0%100%0%0%0%12
Compiler

Compiled 42 to 27 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 296.0ms
ival-<=: 202.0ms (68.2% of total)
...c/correct-round.rkt:119:19: 34.0ms (11.5% of total)
ival-add: 29.0ms (9.8% of total)
ival-mult: 15.0ms (5.1% of total)
ival-and: 12.0ms (4.1% of total)
const: 4.0ms (1.4% of total)
backward-pass: 1.0ms (0.3% of total)

sample1.8s (26.7%)

Results
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 767.0ms
ival-<=: 361.0ms (47% of total)
...c/correct-round.rkt:119:19: 168.0ms (21.9% of total)
ival-add: 99.0ms (12.9% of total)
ival-mult: 61.0ms (7.9% of total)
ival-and: 57.0ms (7.4% of total)
const: 19.0ms (2.5% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess110.0ms (1.6%)

Algorithm
2×egg-herbie
Rules
3456×sum4-define
2016×fnmadd-define
1430×sum3-define
962×unsub-neg
750×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041100
1179100
262997
3199397
4608297
5693797
6737897
7740097
8740097
076
1196
2466
3966
41186
51196
01196
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(* a (+ (+ b c) d))
Outputs
(* a (+ (+ b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
Call 2
Inputs
(* a (+ (+ b c) d))
(* (neg a) (+ (+ b c) d))
(* a (+ (+ (neg b) c) d))
(* a (+ (+ b (neg c)) d))
(* a (+ (+ b c) (neg d)))
(neg (* (neg a) (+ (+ b c) d)))
(neg (* a (+ (+ (neg b) c) d)))
(neg (* a (+ (+ b (neg c)) d)))
(neg (* a (+ (+ b c) (neg d))))
(* b (+ (+ a c) d))
(* c (+ (+ b a) d))
(* d (+ (+ b c) a))
(* a (+ (+ c b) d))
(* a (+ (+ d c) b))
(* a (+ (+ b d) c))
Outputs
(* a (+ (+ b c) d))
(* a (sum3 b c d))
(* (neg a) (+ (+ b c) d))
(* (sum3 b c d) (neg a))
(* a (+ (+ (neg b) c) d))
(* a (+ d (- c b)))
(* a (+ (+ b (neg c)) d))
(* a (+ b (- d c)))
(* a (+ (+ b c) (neg d)))
(* a (+ b (- c d)))
(neg (* (neg a) (+ (+ b c) d)))
(* a (sum3 b c d))
(neg (* a (+ (+ (neg b) c) d)))
(* a (- (- b c) d))
(neg (* a (+ (+ b (neg c)) d)))
(* a (- c (+ b d)))
(neg (* a (+ (+ b c) (neg d))))
(* a (- d (+ b c)))
(* b (+ (+ a c) d))
(* b (sum3 a c d))
(* c (+ (+ b a) d))
(* c (sum3 a b d))
(* d (+ (+ b c) a))
(* d (sum3 a b c))
(* a (+ (+ c b) d))
(* a (sum3 b c d))
(* a (+ (+ d c) b))
(* a (sum3 b c d))
(* a (+ (+ b d) c))
(* a (sum3 b c d))
Symmetry

(negabs a)

(sort b c d)

explain84.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-b
00-0-(+.f64 (+.f64 b c) d)
00-0-d
00-0-a
00-0-(*.f64 a (+.f64 (+.f64 b c) d))
00-0-(+.f64 b c)
00-0-c
Results
33.0ms512×0valid
Compiler

Compiled 59 to 23 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 6.0ms (59.8% of total)
ival-mult: 4.0ms (39.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

prune22.0ms (0.3%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 b c)
✓cost-diff0
(+.f64 (+.f64 b c) d)
✓cost-diff0
(*.f64 a (+.f64 (+.f64 b c) d))
Rules
56×fma-define
48×fma-lowering-fma.f32
48×+-lowering-+.f64
48×+-lowering-+.f32
48×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
11917
24617
39617
411817
511917
011917
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* a (+ (+ b c) d))
a
(+ (+ b c) d)
(+ b c)
b
c
d
Outputs
(* a (+ (+ b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
a
(+ (+ b c) d)
(+.f64 b (+.f64 c d))
(+ b c)
(+.f64 b c)
b
c
d

localize27.0ms (0.4%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (+.f64 b c) d)
✓accuracy100.0%
(+.f64 b c)
✓accuracy99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
Results
21.0ms256×0valid
Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (55.4% of total)
ival-mult: 2.0ms (37% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
3 → 108
Calls
Call 1
Inputs
#<alt (* a (+ (+ b c) d))>
#<alt (+ (+ b c) d)>
#<alt (+ b c)>
Outputs
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ c d))>
#<alt (+ (* a b) (* a (+ c d)))>
#<alt (+ (* a b) (* a (+ c d)))>
#<alt (+ (* a b) (* a (+ c d)))>
#<alt (* a b)>
#<alt (* b (+ a (/ (* a (+ c d)) b)))>
#<alt (* b (+ a (/ (* a (+ c d)) b)))>
#<alt (* b (+ a (/ (* a (+ c d)) b)))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))>
#<alt (* a (+ b d))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* a (+ b c))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (+ c d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt b>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (+ b d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (+ b c)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt c>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt b>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt b>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt c>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
b
@0
(* a (+ (+ b c) d))
1.0ms
a
@0
(* a (+ (+ b c) d))
1.0ms
d
@0
(+ (+ b c) d)
0.0ms
b
@-inf
(* a (+ (+ b c) d))
0.0ms
b
@inf
(* a (+ (+ b c) d))

rewrite290.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
3572×*-lowering-*.f32
3572×*-lowering-*.f64
2634×/-lowering-/.f32
2634×/-lowering-/.f64
1576×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
14413
241813
3625313
0828113
Stop Event
1×iter limit
1×node limit
Counts
3 → 190
Calls
Call 1
Inputs
(* a (+ (+ b c) d))
(+ (+ b c) d)
(+ b c)
Outputs
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(+.f64 (*.f64 a c) (*.f64 (+.f64 b d) a))
(+.f64 (*.f64 a c) (+.f64 (*.f64 a b) (*.f64 a d)))
(+.f64 (*.f64 a (+.f64 c d)) (*.f64 a b))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a (+.f64 b d)) (*.f64 a c))
(+.f64 (*.f64 (+.f64 b d) a) (*.f64 a c))
(+.f64 (+.f64 (*.f64 a d) (*.f64 a b)) (*.f64 a c))
(-.f64 (/.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 a (+.f64 c (-.f64 b d)))) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 a (+.f64 c (-.f64 b d)))))
(fma.f64 a b (*.f64 a (+.f64 c d)))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(fma.f64 b a (*.f64 a (+.f64 c d)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
(/.f64 (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d))))) (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))))
(/.f64 (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d))))) (+.f64 (*.f64 a (*.f64 d (*.f64 a d))) (-.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))) (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 c (-.f64 b d))) (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 a (+.f64 c (-.f64 b d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 d d) (*.f64 (+.f64 b c) (+.f64 c (-.f64 b d)))) (*.f64 a (+.f64 (*.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c))) (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 c (-.f64 b d)) (*.f64 (+.f64 b (+.f64 c d)) (*.f64 (+.f64 c (-.f64 b d)) a))))
(/.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 a (+.f64 c (-.f64 b d)))) (*.f64 a (+.f64 c (-.f64 b d))))
(/.f64 (*.f64 a (+.f64 (*.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c))) (*.f64 d (*.f64 d d)))) (+.f64 (*.f64 d d) (*.f64 (+.f64 b c) (+.f64 c (-.f64 b d)))))
(/.f64 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 (+.f64 c (-.f64 b d)) a)) (+.f64 c (-.f64 b d)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))))) (neg.f64 (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 a (+.f64 c (-.f64 b d))))) (neg.f64 (*.f64 a (+.f64 c (-.f64 b d)))))
(/.f64 (neg.f64 (*.f64 a (+.f64 (*.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c))) (*.f64 d (*.f64 d d))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 d d) (*.f64 (+.f64 b c) (+.f64 c (-.f64 b d))))))
(/.f64 (neg.f64 (*.f64 (+.f64 b (+.f64 c d)) (*.f64 (+.f64 c (-.f64 b d)) a))) (-.f64 #s(literal 0 binary64) (+.f64 c (-.f64 b d))))
(/.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 3 binary64)) (pow.f64 (*.f64 a (+.f64 c d)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (-.f64 (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a (+.f64 c d))) (*.f64 (*.f64 a b) (*.f64 a (+.f64 c d))))))
(/.f64 (-.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))
(/.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a (+.f64 c d)))) (-.f64 (*.f64 a b) (*.f64 a (+.f64 c d))))
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c))) (*.f64 d (*.f64 d d))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 d d) (*.f64 (+.f64 b c) (+.f64 c (-.f64 b d))))))
(/.f64 (*.f64 a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 #s(literal 0 binary64) (+.f64 c (-.f64 b d))))) (-.f64 #s(literal 0 binary64) (+.f64 c (-.f64 b d))))
(/.f64 (*.f64 a (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d))))) (+.f64 (*.f64 b b) (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
(/.f64 (*.f64 a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (-.f64 b c) d))) (-.f64 (-.f64 b c) d))
(/.f64 (*.f64 a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 d (+.f64 b c)))) (-.f64 d (+.f64 b c)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c))) (*.f64 d (*.f64 d d)))) a) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 d d) (*.f64 (+.f64 b c) (+.f64 c (-.f64 b d))))))
(/.f64 (*.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 #s(literal 0 binary64) (+.f64 c (-.f64 b d)))) a) (-.f64 #s(literal 0 binary64) (+.f64 c (-.f64 b d))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))) a) (+.f64 (*.f64 b b) (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))))
(/.f64 (*.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (-.f64 b c) d)) a) (-.f64 (-.f64 b c) d))
(/.f64 (*.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 d (+.f64 b c))) a) (-.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 b (+.f64 c d)) a)
(*.f64 (+.f64 (*.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c))) (*.f64 d (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d d) (*.f64 (+.f64 b c) (+.f64 c (-.f64 b d))))) a))
(*.f64 (+.f64 (*.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c))) (*.f64 d (*.f64 d d))) (/.f64 a (+.f64 (*.f64 d d) (*.f64 (+.f64 b c) (+.f64 c (-.f64 b d))))))
(*.f64 (*.f64 (+.f64 b (+.f64 c d)) (+.f64 c (-.f64 b d))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 c (-.f64 b d))) a))
(*.f64 (*.f64 (+.f64 b (+.f64 c d)) (+.f64 c (-.f64 b d))) (/.f64 a (+.f64 c (-.f64 b d))))
(*.f64 (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))
(*.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 a (+.f64 c (-.f64 b d)))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 c (-.f64 b d)))))
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(*.f64 (/.f64 (+.f64 (*.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c))) (*.f64 d (*.f64 d d))) (+.f64 (*.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 (+.f64 b c) (+.f64 b c)))) (*.f64 (*.f64 d (-.f64 d (+.f64 b c))) (*.f64 (*.f64 d (-.f64 d (+.f64 b c))) (*.f64 d (-.f64 d (+.f64 b c))))))) (+.f64 (*.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 (+.f64 b c) (+.f64 b c))) (*.f64 (*.f64 d (-.f64 d (+.f64 b c))) (-.f64 (*.f64 d (-.f64 d (+.f64 b c))) (*.f64 (+.f64 b c) (+.f64 b c))))))
(*.f64 (/.f64 (+.f64 (*.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c))) (*.f64 d (*.f64 d d))) (*.f64 (+.f64 (*.f64 d d) (*.f64 (+.f64 b c) (+.f64 c (-.f64 b d)))) (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d (-.f64 d (+.f64 b c)))))) (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d (-.f64 d (+.f64 b c)))))
(*.f64 (/.f64 (*.f64 (+.f64 b (+.f64 c d)) (+.f64 c (-.f64 b d))) (-.f64 (*.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c))) (*.f64 d (*.f64 d d)))) (+.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d (+.f64 b (+.f64 c d)))))
(+.f64 b c)
(+.f64 c b)
(+.f64 (/.f64 (*.f64 b b) (-.f64 b c)) (neg.f64 (*.f64 c (/.f64 c (-.f64 b c)))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b c)) (*.f64 c (/.f64 c (-.f64 b c))))
(-.f64 (/.f64 (*.f64 c c) (-.f64 c b)) (/.f64 (*.f64 b b) (-.f64 c b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b c)))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 c c)) (-.f64 b c))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b)))))
(/.f64 (*.f64 (+.f64 b c) (-.f64 #s(literal 0 binary64) (-.f64 b c))) (-.f64 #s(literal 0 binary64) (-.f64 b c)))
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (*.f64 (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b))) (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b c)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 c b) (-.f64 (*.f64 c c) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))) (*.f64 (-.f64 b c) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) (+.f64 (*.f64 b b) (*.f64 c c))))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c)))))
(/.f64 (-.f64 (*.f64 c c) (*.f64 b b)) (-.f64 c b))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (-.f64 b c) (+.f64 (*.f64 b b) (*.f64 c c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b c))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b c)) (*.f64 (-.f64 b c) (*.f64 c c))) (*.f64 (-.f64 b c) (-.f64 b c)))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 b b) (*.f64 c c)) (-.f64 b c)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))))) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) (+.f64 (*.f64 b b) (*.f64 c c)))) (-.f64 b c)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b)))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) #s(literal 1 binary64)) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 c c)) #s(literal 1 binary64)) (-.f64 b c))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b))))))
(/.f64 (neg.f64 (*.f64 (+.f64 b c) (-.f64 #s(literal 0 binary64) (-.f64 b c)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b c))))
(/.f64 (neg.f64 (-.f64 (*.f64 c c) (*.f64 b b))) (neg.f64 (-.f64 c b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 b c)) #s(literal 3 binary64)) (pow.f64 (*.f64 c (/.f64 c (-.f64 b c))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 b c)) (/.f64 (*.f64 b b) (-.f64 b c))) (+.f64 (*.f64 (*.f64 c (/.f64 c (-.f64 b c))) (*.f64 c (/.f64 c (-.f64 b c)))) (*.f64 (/.f64 (*.f64 b b) (-.f64 b c)) (*.f64 c (/.f64 c (-.f64 b c)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 b c)) (/.f64 (*.f64 b b) (-.f64 b c))) (*.f64 (*.f64 c (/.f64 c (-.f64 b c))) (*.f64 c (/.f64 c (-.f64 b c))))) (+.f64 (/.f64 (*.f64 b b) (-.f64 b c)) (*.f64 c (/.f64 c (-.f64 b c)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b))))) (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b))))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (-.f64 b c))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) (+.f64 (*.f64 b b) (*.f64 c c)))))
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (-.f64 b c))) (+.f64 (*.f64 b b) (*.f64 c c)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b c)) #s(literal -1 binary64))
(*.f64 (+.f64 b c) (*.f64 (-.f64 b c) (/.f64 #s(literal 1 binary64) (-.f64 b c))))
(*.f64 (+.f64 b c) (/.f64 (-.f64 b c) (-.f64 b c)))
(*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b)))))
(*.f64 (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b))) (*.f64 (+.f64 b c) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b))))))
(*.f64 (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b))) (/.f64 (+.f64 b c) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b)))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (-.f64 b c)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b))))))
(*.f64 (*.f64 (+.f64 b c) (-.f64 #s(literal 0 binary64) (-.f64 b c))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b c))))
(*.f64 #s(literal 1 binary64) (+.f64 b c))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b)))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b c)) (-.f64 (*.f64 b b) (*.f64 c c)))
(*.f64 (-.f64 (*.f64 c c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 c b)))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 c c)) (-.f64 (*.f64 b b) (*.f64 c c))) (+.f64 b c))
(*.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (-.f64 c b)) (*.f64 (*.f64 c (-.f64 c b)) (*.f64 c (-.f64 c b)))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (-.f64 c b)) (-.f64 (*.f64 c (-.f64 c b)) (*.f64 b b)))))
(*.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (-.f64 c b)) (*.f64 c (-.f64 c b))))) (-.f64 (*.f64 b b) (*.f64 c (-.f64 c b))))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 c c)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 b b) (*.f64 c (+.f64 b c))))

simplify206.0ms (3%)

Algorithm
1×egg-herbie
Rules
2422×*-lowering-*.f32
2422×*-lowering-*.f64
1844×fnmadd-define
1184×/-lowering-/.f32
1184×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084516
1292450
2886450
32781450
08007450
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ c d))
(+ (* a b) (* a (+ c d)))
(+ (* a b) (* a (+ c d)))
(+ (* a b) (* a (+ c d)))
(* a b)
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(* a c)
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(* a d)
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(+ c d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+ b d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+ b c)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
c
(+ b c)
(+ b c)
(+ b c)
b
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
b
(+ b c)
(+ b c)
(+ b c)
c
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
Outputs
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a b)
(*.f64 a b)
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b d))
(*.f64 a (+.f64 b d))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a d)
(*.f64 a d)
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 a (+.f64 d (+.f64 b c)))
(+ c d)
(+.f64 c d)
(+ b (+ c d))
(+.f64 d (+.f64 b c))
(+ b (+ c d))
(+.f64 d (+.f64 b c))
(+ b (+ c d))
(+.f64 d (+.f64 b c))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 d (+.f64 b c))
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 d (+.f64 b c))
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 d (+.f64 b c))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 d (+.f64 b c))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 d (+.f64 b c))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 d (+.f64 b c))
(+ b d)
(+.f64 b d)
(+ b (+ c d))
(+.f64 d (+.f64 b c))
(+ b (+ c d))
(+.f64 d (+.f64 b c))
(+ b (+ c d))
(+.f64 d (+.f64 b c))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 d (+.f64 b c))
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 d (+.f64 b c))
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 d (+.f64 b c))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 d (+.f64 b c))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 d (+.f64 b c))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 d (+.f64 b c))
(+ b c)
(+.f64 b c)
(+ b (+ c d))
(+.f64 d (+.f64 b c))
(+ b (+ c d))
(+.f64 d (+.f64 b c))
(+ b (+ c d))
(+.f64 d (+.f64 b c))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 d (+.f64 b c))
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 d (+.f64 b c))
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 d (+.f64 b c))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 d (+.f64 b c))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 d (+.f64 b c))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 d (+.f64 b c))
c
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
b
(* b (+ 1 (/ c b)))
(+.f64 b c)
(* b (+ 1 (/ c b)))
(+.f64 b c)
(* b (+ 1 (/ c b)))
(+.f64 b c)
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 b c)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 b c)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 b c)
b
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
c
(* c (+ 1 (/ b c)))
(+.f64 b c)
(* c (+ 1 (/ b c)))
(+.f64 b c)
(* c (+ 1 (/ b c)))
(+.f64 b c)
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 b c)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 b c)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 b c)

eval45.0ms (0.7%)

Compiler

Compiled 6579 to 698 computations (89.4% saved)

prune35.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2926298
Fresh000
Picked011
Done000
Total2927299
Accuracy
100.0%
Counts
299 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.5%
(/.f64 (-.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))
▶86.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 c (-.f64 b d)) (*.f64 (+.f64 b (+.f64 c d)) (*.f64 (+.f64 c (-.f64 b d)) a))))
▶99.9%
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
✓99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
▶99.6%
(*.f64 a (+.f64 c d))
▶86.0%
(*.f64 a (*.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (-.f64 b c) d)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 b c) d))))
▶93.7%
(*.f64 a d)
Compiler

Compiled 235 to 125 computations (46.8% saved)

simplify304.0ms (4.5%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 b d)
✓cost-diff0
(+.f64 c (-.f64 b d))
✓cost-diff640
(/.f64 (+.f64 c (-.f64 b d)) (*.f64 (+.f64 b (+.f64 c d)) (*.f64 (+.f64 c (-.f64 b d)) a)))
✓cost-diff896
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 c (-.f64 b d)) (*.f64 (+.f64 b (+.f64 c d)) (*.f64 (+.f64 c (-.f64 b d)) a))))
✓cost-diff0
(+.f64 b (+.f64 c d))
✓cost-diff0
(*.f64 (+.f64 b (+.f64 c d)) (-.f64 (-.f64 b c) d))
✓cost-diff896
(*.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (-.f64 b c) d)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 b c) d)))
✓cost-diff896
(*.f64 a (*.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (-.f64 b c) d)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 b c) d))))
✓cost-diff0
(+.f64 c d)
✓cost-diff0
(*.f64 a (+.f64 c d))
✓cost-diff0
(*.f64 a d)
✓cost-diff0
(*.f64 a d)
✓cost-diff0
(+.f64 b c)
✓cost-diff0
(*.f64 a (+.f64 b c))
✓cost-diff128
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
Rules
3232×*-lowering-*.f32
3232×*-lowering-*.f64
1690×sum3-define
1348×+-lowering-+.f64
1348×+-lowering-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024194
174152
2257146
31479136
44621135
08125135
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* a (+ b c)) (* a d))
(* a (+ b c))
a
(+ b c)
b
c
(* a d)
d
(* a d)
a
d
(* a (+ c d))
a
(+ c d)
c
d
(* a (* (* (+ b (+ c d)) (- (- b c) d)) (/ 1 (- (- b c) d))))
a
(* (* (+ b (+ c d)) (- (- b c) d)) (/ 1 (- (- b c) d)))
(* (+ b (+ c d)) (- (- b c) d))
(+ b (+ c d))
b
(+ c d)
c
d
(- (- b c) d)
(- b c)
(/ 1 (- (- b c) d))
1
(/ 1 (/ (+ c (- b d)) (* (+ b (+ c d)) (* (+ c (- b d)) a))))
1
(/ (+ c (- b d)) (* (+ b (+ c d)) (* (+ c (- b d)) a)))
(+ c (- b d))
c
(- b d)
b
d
(* (+ b (+ c d)) (* (+ c (- b d)) a))
(+ b (+ c d))
(+ c d)
(* (+ c (- b d)) a)
a
Outputs
(+ (* a (+ b c)) (* a d))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b c))
(*.f64 a (+.f64 b c))
a
(+ b c)
(+.f64 b c)
b
c
(* a d)
(*.f64 a d)
d
(* a d)
(*.f64 a d)
a
d
(* a (+ c d))
(*.f64 a (+.f64 c d))
a
(+ c d)
(+.f64 c d)
c
d
(* a (* (* (+ b (+ c d)) (- (- b c) d)) (/ 1 (- (- b c) d))))
(*.f64 a (+.f64 b (+.f64 c d)))
a
(* (* (+ b (+ c d)) (- (- b c) d)) (/ 1 (- (- b c) d)))
(+.f64 b (+.f64 c d))
(* (+ b (+ c d)) (- (- b c) d))
(*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
b
(+ c d)
(+.f64 c d)
c
d
(- (- b c) d)
(-.f64 b (+.f64 c d))
(- b c)
(-.f64 b c)
(/ 1 (- (- b c) d))
(/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d)))
1
#s(literal 1 binary64)
(/ 1 (/ (+ c (- b d)) (* (+ b (+ c d)) (* (+ c (- b d)) a))))
(*.f64 a (+.f64 b (+.f64 c d)))
1
#s(literal 1 binary64)
(/ (+ c (- b d)) (* (+ b (+ c d)) (* (+ c (- b d)) a)))
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b (+.f64 c d))))
(+ c (- b d))
(+.f64 b (-.f64 c d))
c
(- b d)
(-.f64 b d)
b
d
(* (+ b (+ c d)) (* (+ c (- b d)) a))
(*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (+.f64 b (-.f64 c d)))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ c d)
(+.f64 c d)
(* (+ c (- b d)) a)
(*.f64 a (+.f64 b (-.f64 c d)))
a

localize113.0ms (1.7%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (+.f64 c (-.f64 b d)) a)
✓accuracy99.6%
(*.f64 (+.f64 b (+.f64 c d)) (*.f64 (+.f64 c (-.f64 b d)) a))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 c (-.f64 b d)) (*.f64 (+.f64 b (+.f64 c d)) (*.f64 (+.f64 c (-.f64 b d)) a))))
✓accuracy86.6%
(/.f64 (+.f64 c (-.f64 b d)) (*.f64 (+.f64 b (+.f64 c d)) (*.f64 (+.f64 c (-.f64 b d)) a)))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 b c) d))
✓accuracy99.9%
(*.f64 a (*.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (-.f64 b c) d)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 b c) d))))
✓accuracy99.9%
(*.f64 (+.f64 b (+.f64 c d)) (-.f64 (-.f64 b c) d))
✓accuracy86.0%
(*.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (-.f64 b c) d)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 b c) d)))
✓accuracy100.0%
(+.f64 c d)
✓accuracy99.9%
(*.f64 a (+.f64 c d))
✓accuracy100.0%
(*.f64 a d)
✓accuracy100.0%
(+.f64 b c)
✓accuracy100.0%
(*.f64 a d)
✓accuracy99.9%
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
✓accuracy99.9%
(*.f64 a (+.f64 b c))
Results
79.0ms256×0valid
Compiler

Compiled 205 to 25 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 14.0ms (46.3% of total)
ival-add: 6.0ms (19.9% of total)
ival-div: 5.0ms (16.5% of total)
ival-sub: 4.0ms (13.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0.6%)

Counts
17 → 636
Calls
Call 1
Inputs
#<alt (+ (* a (+ b c)) (* a d))>
#<alt (* a (+ b c))>
#<alt (+ b c)>
#<alt (* a d)>
#<alt (* a (+ c d))>
#<alt (+ c d)>
#<alt (* a (* (* (+ b (+ c d)) (- (- b c) d)) (/ 1 (- (- b c) d))))>
#<alt (* (* (+ b (+ c d)) (- (- b c) d)) (/ 1 (- (- b c) d)))>
#<alt (* (+ b (+ c d)) (- (- b c) d))>
#<alt (+ b (+ c d))>
#<alt (/ 1 (/ (+ c (- b d)) (* (+ b (+ c d)) (* (+ c (- b d)) a))))>
#<alt (/ (+ c (- b d)) (* (+ b (+ c d)) (* (+ c (- b d)) a)))>
#<alt (+ c (- b d))>
#<alt (- b d)>
#<alt (/ 1 (- (- b c) d))>
#<alt (* (+ b (+ c d)) (* (+ c (- b d)) a))>
#<alt (* (+ c (- b d)) a)>
Outputs
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))>
#<alt (* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))>
#<alt (* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))>
#<alt (* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a b) (+ (* a c) (* a d)))>
#<alt (+ (* a b) (+ (* a c) (* a d)))>
#<alt (+ (* a b) (+ (* a c) (* a d)))>
#<alt (* a b)>
#<alt (* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))>
#<alt (* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))>
#<alt (* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))>
#<alt (+ (* a b) (* a d))>
#<alt (+ (* a b) (+ (* a c) (* a d)))>
#<alt (+ (* a b) (+ (* a c) (* a d)))>
#<alt (+ (* a b) (+ (* a c) (* a d)))>
#<alt (* a c)>
#<alt (* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))>
#<alt (* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))>
#<alt (* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))>
#<alt (* a (+ b c))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* a (+ b c))>
#<alt (* a (+ b c))>
#<alt (* a (+ b c))>
#<alt (* a (+ b c))>
#<alt (* a (+ b c))>
#<alt (* a (+ b c))>
#<alt (* a (+ b c))>
#<alt (* a (+ b c))>
#<alt (* a (+ b c))>
#<alt (* a (+ b c))>
#<alt (* a (+ b c))>
#<alt (* a (+ b c))>
#<alt (* a c)>
#<alt (+ (* a b) (* a c))>
#<alt (+ (* a b) (* a c))>
#<alt (+ (* a b) (* a c))>
#<alt (* a b)>
#<alt (* b (+ a (/ (* a c) b)))>
#<alt (* b (+ a (/ (* a c) b)))>
#<alt (* b (+ a (/ (* a c) b)))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b)))))>
#<alt (* a b)>
#<alt (+ (* a b) (* a c))>
#<alt (+ (* a b) (* a c))>
#<alt (+ (* a b) (* a c))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a b) c)))>
#<alt (* c (+ a (/ (* a b) c)))>
#<alt (* c (+ a (/ (* a b) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c)))))>
#<alt c>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt b>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt b>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt c>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a d)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt d>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt c>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt c>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt d>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ c d))>
#<alt (+ (* a b) (* a (+ c d)))>
#<alt (+ (* a b) (* a (+ c d)))>
#<alt (+ (* a b) (* a (+ c d)))>
#<alt (* a b)>
#<alt (* b (+ a (/ (* a (+ c d)) b)))>
#<alt (* b (+ a (/ (* a (+ c d)) b)))>
#<alt (* b (+ a (/ (* a (+ c d)) b)))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))>
#<alt (* a (+ b d))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* a (+ b c))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (+ c d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt b>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (+ b d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt c>
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#<alt (* a (- b d))>
#<alt (+ (* a c) (* a (- b d)))>
#<alt (+ (* a c) (* a (- b d)))>
#<alt (+ (* a c) (* a (- b d)))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a (- b d)) c)))>
#<alt (* c (+ a (/ (* a (- b d)) c)))>
#<alt (* c (+ a (/ (* a (- b d)) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (- b d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (- b d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (- b d)) c)))))>
#<alt (* a (- c d))>
#<alt (+ (* a b) (* a (- c d)))>
#<alt (+ (* a b) (* a (- c d)))>
#<alt (+ (* a b) (* a (- c d)))>
#<alt (* a b)>
#<alt (* b (+ a (/ (* a (- c d)) b)))>
#<alt (* b (+ a (/ (* a (- c d)) b)))>
#<alt (* b (+ a (/ (* a (- c d)) b)))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (- c d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (- c d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (- c d)) b)))))>
#<alt (* a (+ b c))>
#<alt (+ (* -1 (* a d)) (* a (+ b c)))>
#<alt (+ (* -1 (* a d)) (* a (+ b c)))>
#<alt (+ (* -1 (* a d)) (* a (+ b c)))>
#<alt (* -1 (* a d))>
#<alt (* d (+ (* -1 a) (/ (* a (+ b c)) d)))>
#<alt (* d (+ (* -1 a) (/ (* a (+ b c)) d)))>
#<alt (* d (+ (* -1 a) (/ (* a (+ b c)) d)))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* d (+ a (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* -1 (* d (+ a (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* -1 (* d (+ a (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* a (- (+ b c) d))>
#<alt (* a (- (+ b c) d))>
#<alt (* a (- (+ b c) d))>
#<alt (* a (- (+ b c) d))>
#<alt (* a (- (+ b c) d))>
#<alt (* a (- (+ b c) d))>
#<alt (* a (- (+ b c) d))>
#<alt (* a (- (+ b c) d))>
#<alt (* a (- (+ b c) d))>
#<alt (* a (- (+ b c) d))>
#<alt (* a (- (+ b c) d))>
#<alt (* a (- (+ b c) d))>
Calls

159 calls:

TimeVariablePointExpression
6.0ms
d
@inf
(/ 1 (/ (+ c (- b d)) (* (+ b (+ c d)) (* (+ c (- b d)) a))))
2.0ms
b
@-inf
(/ (+ c (- b d)) (* (+ b (+ c d)) (* (+ c (- b d)) a)))
2.0ms
a
@0
(* (+ b (+ c d)) (* (+ c (- b d)) a))
1.0ms
c
@-inf
(+ (* a (+ b c)) (* a d))
1.0ms
c
@inf
(/ 1 (- (- b c) d))

rewrite401.0ms (5.9%)

Algorithm
1×batch-egg-rewrite
Rules
4220×/-lowering-/.f32
4220×/-lowering-/.f64
3838×*-lowering-*.f32
3838×*-lowering-*.f64
2144×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024151
1173116
21748116
09103116
Stop Event
1×iter limit
1×node limit
Counts
17 → 844
Calls
Call 1
Inputs
(+ (* a (+ b c)) (* a d))
(* a (+ b c))
(+ b c)
(* a d)
(* a (+ c d))
(+ c d)
(* a (* (* (+ b (+ c d)) (- (- b c) d)) (/ 1 (- (- b c) d))))
(* (* (+ b (+ c d)) (- (- b c) d)) (/ 1 (- (- b c) d)))
(* (+ b (+ c d)) (- (- b c) d))
(+ b (+ c d))
(/ 1 (/ (+ c (- b d)) (* (+ b (+ c d)) (* (+ c (- b d)) a))))
(/ (+ c (- b d)) (* (+ b (+ c d)) (* (+ c (- b d)) a)))
(+ c (- b d))
(- b d)
(/ 1 (- (- b c) d))
(* (+ b (+ c d)) (* (+ c (- b d)) a))
(* (+ c (- b d)) a)
Outputs
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a (+.f64 c d)) (*.f64 a b))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (+.f64 (*.f64 a d) (*.f64 a b)) (*.f64 a c))
(-.f64 (/.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 a (+.f64 b (-.f64 c d)))) (*.f64 (/.f64 a (+.f64 b (-.f64 c d))) (/.f64 (*.f64 d (*.f64 a d)) a)))
(-.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))) (/.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))
(fma.f64 a b (*.f64 a (+.f64 c d)))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(fma.f64 a (+.f64 c d) (*.f64 a b))
(fma.f64 b a (*.f64 a (+.f64 c d)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(fma.f64 (+.f64 c d) a (*.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))) (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (*.f64 a (+.f64 b (+.f64 c d)))) (/.f64 (+.f64 b (-.f64 c d)) (*.f64 a (+.f64 b (-.f64 c d))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))) (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 a (*.f64 a (+.f64 b (+.f64 c d)))) (/.f64 (+.f64 b (-.f64 c d)) (*.f64 a (+.f64 b (-.f64 c d)))))))
(/.f64 (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))))
(/.f64 (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 a (*.f64 d (*.f64 a d))) (-.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a d))))))
(/.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 a (+.f64 b (-.f64 c d)))) (*.f64 a (+.f64 b (-.f64 c d))))
(/.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (*.f64 a (*.f64 d (*.f64 a d))) (-.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a d)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 a (+.f64 b (-.f64 c d))))) (neg.f64 (*.f64 a (+.f64 b (-.f64 c d)))))
(/.f64 (*.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))) #s(literal 1 binary64)) (-.f64 b (+.f64 c d)))
(/.f64 (*.f64 a (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d))))) (+.f64 (*.f64 b b) (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (*.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 b (+.f64 c d))))
(/.f64 (-.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 a (+.f64 b (-.f64 c d)))) (*.f64 (*.f64 a (+.f64 b (-.f64 c d))) (*.f64 a (*.f64 d (*.f64 a d))))) (*.f64 (*.f64 a (+.f64 b (-.f64 c d))) (*.f64 a (+.f64 b (-.f64 c d)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d)))) (-.f64 #s(literal 0 binary64) (-.f64 b (+.f64 c d))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 a (+.f64 b (-.f64 c d)))))) (neg.f64 (neg.f64 (*.f64 a (+.f64 b (-.f64 c d))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))))) (neg.f64 (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 b (+.f64 c d))))
(/.f64 (neg.f64 (*.f64 a (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))))) (neg.f64 (+.f64 (*.f64 b b) (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b (+.f64 c d)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 c d)) #s(literal 3 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a (+.f64 c d))) (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a b)))))
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (pow.f64 (*.f64 a (+.f64 c d)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (-.f64 (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a (+.f64 c d))) (*.f64 (*.f64 a b) (*.f64 a (+.f64 c d))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a d) (*.f64 a b)) #s(literal 3 binary64)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (+.f64 (*.f64 a d) (*.f64 a b)) (+.f64 (*.f64 a d) (*.f64 a b))) (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (+.f64 (*.f64 a d) (*.f64 a b)) (*.f64 a c)))))
(pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))) (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a (*.f64 a (+.f64 b (+.f64 c d)))) (/.f64 (+.f64 b (-.f64 c d)) (*.f64 a (+.f64 b (-.f64 c d))))) #s(literal -1 binary64))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (*.f64 a (+.f64 b (+.f64 c d))) #s(literal 1 binary64))
(*.f64 (+.f64 b (+.f64 c d)) a)
(*.f64 (+.f64 b (+.f64 c d)) (*.f64 #s(literal 1 binary64) a))
(*.f64 (+.f64 b (+.f64 c d)) (/.f64 a #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))) (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))))
(*.f64 (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))
(*.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))) a))
(*.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 a (+.f64 b (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b (-.f64 c d)))))
(*.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))))
(*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d)))) (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))))
(*.f64 (*.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))))
(*.f64 (*.f64 (/.f64 (+.f64 b (+.f64 c d)) (+.f64 (*.f64 (-.f64 b c) (-.f64 b c)) (*.f64 d (-.f64 b (-.f64 c d))))) #s(literal 1 binary64)) (/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 b c) (-.f64 b c)) (*.f64 d (-.f64 b (-.f64 c d)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (-.f64 c d))) (+.f64 b (+.f64 c d))) (/.f64 a (/.f64 #s(literal 1 binary64) (-.f64 b (-.f64 c d)))))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) a) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (+.f64 b (-.f64 c d))))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (+.f64 b (-.f64 c d))) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) a))
(*.f64 (/.f64 a (-.f64 b (+.f64 c d))) (/.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) #s(literal 1 binary64)))
(*.f64 (/.f64 a (-.f64 (*.f64 (-.f64 b c) (*.f64 (-.f64 b c) (-.f64 b c))) (*.f64 d (*.f64 d d)))) (/.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 b c) (-.f64 b c)) (*.f64 d (-.f64 b (-.f64 c d)))))))
(*.f64 (/.f64 a (*.f64 (-.f64 b (-.f64 c d)) (-.f64 b (+.f64 c d)))) (/.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 b (-.f64 c d)))))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d)))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 (*.f64 (-.f64 b c) (*.f64 (-.f64 b c) (-.f64 b c))) (*.f64 d (*.f64 d d)))) (/.f64 (-.f64 b (+.f64 c d)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 b c) (-.f64 b c)) (*.f64 d (-.f64 b (-.f64 c d)))))))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 (-.f64 b (-.f64 c d)) (-.f64 b (+.f64 c d)))) (/.f64 (-.f64 b (+.f64 c d)) (/.f64 #s(literal 1 binary64) (-.f64 b (-.f64 c d)))))
(*.f64 (/.f64 (*.f64 a (-.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))) (/.f64 (+.f64 b (+.f64 c d)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 a (-.f64 b (+.f64 c d))) (-.f64 (*.f64 (-.f64 b c) (*.f64 (-.f64 b c) (-.f64 b c))) (*.f64 d (*.f64 d d)))) (/.f64 (+.f64 b (+.f64 c d)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 b c) (-.f64 b c)) (*.f64 d (-.f64 b (-.f64 c d)))))))
(*.f64 (/.f64 (*.f64 a (-.f64 b (+.f64 c d))) (*.f64 (-.f64 b (-.f64 c d)) (-.f64 b (+.f64 c d)))) (/.f64 (+.f64 b (+.f64 c d)) (/.f64 #s(literal 1 binary64) (-.f64 b (-.f64 c d)))))
(*.f64 (/.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))) (-.f64 (*.f64 (-.f64 b c) (*.f64 (-.f64 b c) (-.f64 b c))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 b c) (-.f64 b c)) (*.f64 d (-.f64 b (-.f64 c d)))))))
(*.f64 (/.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))) (*.f64 (-.f64 b (-.f64 c d)) (-.f64 b (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b (-.f64 c d)))))
(*.f64 (/.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 b (+.f64 c d))))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a c) (*.f64 a b))
(-.f64 (/.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (-.f64 (*.f64 a b) (*.f64 a c))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (-.f64 (*.f64 a b) (*.f64 a c))))
(fma.f64 a b (*.f64 a c))
(fma.f64 a c (*.f64 a b))
(fma.f64 b a (*.f64 a c))
(fma.f64 c a (*.f64 a b))
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a b) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a b) (*.f64 a c)))
(/.f64 (*.f64 a (+.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b))))
(/.f64 (*.f64 a (-.f64 (*.f64 b b) (*.f64 c c))) (-.f64 b c))
(/.f64 (*.f64 (+.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) a) (+.f64 (*.f64 b b) (*.f64 c (-.f64 c b))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 c c)) a) (-.f64 b c))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (-.f64 c d))) (+.f64 b (+.f64 c d))) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 b (-.f64 c d)))))
(*.f64 (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (-.f64 b (+.f64 c d))) (/.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (-.f64 (*.f64 (-.f64 b c) (*.f64 (-.f64 b c) (-.f64 b c))) (*.f64 d (*.f64 d d)))) (/.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 b c) (-.f64 b c)) (*.f64 d (-.f64 b (-.f64 c d)))))))
(*.f64 (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (*.f64 (-.f64 b (-.f64 c d)) (-.f64 b (+.f64 c d)))) (/.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 b (-.f64 c d)))))
(+.f64 (*.f64 a (+.f64 b c)) (neg.f64 (*.f64 a d)))
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 (neg.f64 a) d))
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 (-.f64 #s(literal 0 binary64) d) a))
(+.f64 (*.f64 a (+.f64 b (-.f64 c d))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) d) a) (*.f64 a d)))
(+.f64 (*.f64 a (+.f64 b (-.f64 c d))) (+.f64 (*.f64 (neg.f64 a) d) (*.f64 a d)))
(+.f64 (*.f64 a b) (-.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a c) (*.f64 a (-.f64 b d)))
(+.f64 (*.f64 a c) (*.f64 (-.f64 b d) a))
(+.f64 (*.f64 a (-.f64 b d)) (*.f64 a c))
(+.f64 (*.f64 (-.f64 b d) a) (*.f64 a c))
(-.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(-.f64 (/.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 a (+.f64 b (+.f64 c d)))) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 a (+.f64 b (+.f64 c d)))))
(-.f64 (/.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (+.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a d)))))) (/.f64 (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))) (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (+.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a d)))))))
(fma.f64 a b (-.f64 (*.f64 a c) (*.f64 a d)))
(fma.f64 a c (*.f64 a (-.f64 b d)))
(fma.f64 a c (*.f64 (-.f64 b d) a))
(fma.f64 a (+.f64 b c) (neg.f64 (*.f64 a d)))
(fma.f64 a (+.f64 b c) (*.f64 (neg.f64 a) d))
(fma.f64 a (+.f64 b c) (*.f64 (-.f64 #s(literal 0 binary64) d) a))
(fma.f64 a (-.f64 b d) (*.f64 a c))
(fma.f64 a (+.f64 b (-.f64 c d)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) d) a) (*.f64 a d)))
(fma.f64 a (+.f64 b (-.f64 c d)) (+.f64 (*.f64 (neg.f64 a) d) (*.f64 a d)))
(fma.f64 b a (-.f64 (*.f64 a c) (*.f64 a d)))
(fma.f64 c a (*.f64 a (-.f64 b d)))
(fma.f64 c a (*.f64 (-.f64 b d) a))
(fma.f64 (+.f64 b c) a (neg.f64 (*.f64 a d)))
(fma.f64 (+.f64 b c) a (*.f64 (neg.f64 a) d))
(fma.f64 (+.f64 b c) a (*.f64 (-.f64 #s(literal 0 binary64) d) a))
(fma.f64 (-.f64 b d) a (*.f64 a c))
(fma.f64 (+.f64 b (-.f64 c d)) a (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) d) a) (*.f64 a d)))
(fma.f64 (+.f64 b (-.f64 c d)) a (+.f64 (*.f64 (neg.f64 a) d) (*.f64 a d)))
(/.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 a (+.f64 b (-.f64 c d)))) (*.f64 a (+.f64 b (+.f64 c d))))
(/.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 a (+.f64 b (-.f64 c d))))) (neg.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(/.f64 (*.f64 a (+.f64 (*.f64 c (*.f64 c c)) (*.f64 (-.f64 b d) (*.f64 (-.f64 b d) (-.f64 b d))))) (+.f64 (*.f64 c c) (*.f64 (-.f64 b d) (-.f64 b (+.f64 c d)))))
(/.f64 (*.f64 a (*.f64 (+.f64 b (-.f64 c d)) (+.f64 (-.f64 c b) d))) (+.f64 (-.f64 c b) d))
(/.f64 (*.f64 (+.f64 (*.f64 c (*.f64 c c)) (*.f64 (-.f64 b d) (*.f64 (-.f64 b d) (-.f64 b d)))) a) (+.f64 (*.f64 c c) (*.f64 (-.f64 b d) (-.f64 b (+.f64 c d)))))
(/.f64 (*.f64 (*.f64 (+.f64 b (-.f64 c d)) (+.f64 (-.f64 c b) d)) a) (+.f64 (-.f64 c b) d))
(/.f64 (-.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (+.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a d))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (+.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a d)))))))
(/.f64 (neg.f64 (*.f64 a (+.f64 (*.f64 c (*.f64 c c)) (*.f64 (-.f64 b d) (*.f64 (-.f64 b d) (-.f64 b d)))))) (neg.f64 (+.f64 (*.f64 c c) (*.f64 (-.f64 b d) (-.f64 b (+.f64 c d))))))
(/.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b (-.f64 c d)) (+.f64 (-.f64 c b) d)))) (neg.f64 (+.f64 (-.f64 c b) d)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 c (*.f64 c c)) (*.f64 (-.f64 b d) (*.f64 (-.f64 b d) (-.f64 b d)))) a)) (neg.f64 (+.f64 (*.f64 c c) (*.f64 (-.f64 b d) (-.f64 b (+.f64 c d))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b (-.f64 c d)) (+.f64 (-.f64 c b) d)) a)) (neg.f64 (+.f64 (-.f64 c b) d)))
(/.f64 (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (pow.f64 (neg.f64 (*.f64 a d)) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (-.f64 (*.f64 (neg.f64 (*.f64 a d)) (neg.f64 (*.f64 a d))) (*.f64 (*.f64 a (+.f64 b c)) (neg.f64 (*.f64 a d))))))
(/.f64 (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (pow.f64 (*.f64 (neg.f64 a) d) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (-.f64 (*.f64 (*.f64 (neg.f64 a) d) (*.f64 (neg.f64 a) d)) (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (neg.f64 a) d)))))
(/.f64 (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) d) a) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) d) a) (*.f64 (-.f64 #s(literal 0 binary64) d) a)) (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (-.f64 #s(literal 0 binary64) d) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b (-.f64 c d))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) d) a) (*.f64 a d)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a (+.f64 b (-.f64 c d))) (*.f64 a (+.f64 b (-.f64 c d)))) (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) d) a) (*.f64 a d)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) d) a) (*.f64 a d))) (*.f64 (*.f64 a (+.f64 b (-.f64 c d))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) d) a) (*.f64 a d))))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b (-.f64 c d))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (neg.f64 a) d) (*.f64 a d)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a (+.f64 b (-.f64 c d))) (*.f64 a (+.f64 b (-.f64 c d)))) (-.f64 (*.f64 (+.f64 (*.f64 (neg.f64 a) d) (*.f64 a d)) (+.f64 (*.f64 (neg.f64 a) d) (*.f64 a d))) (*.f64 (*.f64 a (+.f64 b (-.f64 c d))) (+.f64 (*.f64 (neg.f64 a) d) (*.f64 a d))))))
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (pow.f64 (-.f64 (*.f64 a c) (*.f64 a d)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (-.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 a d)) (-.f64 (*.f64 a c) (*.f64 a d))) (*.f64 (*.f64 a b) (-.f64 (*.f64 a c) (*.f64 a d))))))
(/.f64 (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 (*.f64 a (-.f64 b d)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (-.f64 (*.f64 (*.f64 a (-.f64 b d)) (*.f64 a (-.f64 b d))) (*.f64 (*.f64 a c) (*.f64 a (-.f64 b d))))))
(/.f64 (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 (*.f64 (-.f64 b d) a) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (-.f64 (*.f64 (*.f64 (-.f64 b d) a) (*.f64 (-.f64 b d) a)) (*.f64 (*.f64 a c) (*.f64 (-.f64 b d) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (-.f64 b d)) #s(literal 3 binary64)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a (-.f64 b d)) (*.f64 a (-.f64 b d))) (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a (-.f64 b d)) (*.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 b d) a) #s(literal 3 binary64)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 (-.f64 b d) a) (*.f64 (-.f64 b d) a)) (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 (-.f64 b d) a) (*.f64 a c)))))
(*.f64 a (+.f64 b (-.f64 c d)))
(*.f64 (+.f64 b (-.f64 c d)) a)
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) a) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (+.f64 b (+.f64 c d))))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 a (+.f64 b (+.f64 c d)))) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (+.f64 b (+.f64 c d))) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) a))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (+.f64 b (+.f64 c d))) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (*.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d)))) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d)))))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c)))) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))))))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))) a)))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 a (+.f64 b (-.f64 c d))))) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b (-.f64 c d))))))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d)))) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d)))))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))))) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))))
(*.f64 (/.f64 (*.f64 a (+.f64 b (+.f64 c d))) (*.f64 (*.f64 (*.f64 a (+.f64 b (+.f64 c d))) (-.f64 b (+.f64 c d))) #s(literal 1 binary64))) (/.f64 (*.f64 a (+.f64 b (-.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d)))))

simplify375.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
5142×*-lowering-*.f32
5142×*-lowering-*.f64
4490×+-lowering-+.f64
4490×+-lowering-+.f32
1434×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07776422
127305914
082725914
Stop Event
1×iter limit
1×node limit
Counts
636 → 636
Calls
Call 1
Inputs
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(+ (* a c) (* a d))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
(* a b)
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(+ (* a b) (* a d))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
(* a c)
(* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))
(* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))
(* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(* a d)
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* a (+ b c))
(* a (+ b c))
(* a (+ b c))
(* a (+ b c))
(* a (+ b c))
(* a (+ b c))
(* a (+ b c))
(* a (+ b c))
(* a (+ b c))
(* a (+ b c))
(* a (+ b c))
(* a (+ b c))
(* a c)
(+ (* a b) (* a c))
(+ (* a b) (* a c))
(+ (* a b) (* a c))
(* a b)
(* b (+ a (/ (* a c) b)))
(* b (+ a (/ (* a c) b)))
(* b (+ a (/ (* a c) b)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b)))))
(* a b)
(+ (* a b) (* a c))
(+ (* a b) (* a c))
(+ (* a b) (* a c))
(* a c)
(* c (+ a (/ (* a b) c)))
(* c (+ a (/ (* a b) c)))
(* c (+ a (/ (* a b) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c)))))
c
(+ b c)
(+ b c)
(+ b c)
b
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
b
(+ b c)
(+ b c)
(+ b c)
c
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a d)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a c)
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* a c)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a d)
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
d
(+ c d)
(+ c d)
(+ c d)
c
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
c
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(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (- c d)) b)))))
(* a (+ b c))
(+ (* -1 (* a d)) (* a (+ b c)))
(+ (* -1 (* a d)) (* a (+ b c)))
(+ (* -1 (* a d)) (* a (+ b c)))
(* -1 (* a d))
(* d (+ (* -1 a) (/ (* a (+ b c)) d)))
(* d (+ (* -1 a) (/ (* a (+ b c)) d)))
(* d (+ (* -1 a) (/ (* a (+ b c)) d)))
(* -1 (* a d))
(* -1 (* d (+ a (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ a (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ a (* -1 (/ (* a (+ b c)) d)))))
(* a (- (+ b c) d))
(* a (- (+ b c) d))
(* a (- (+ b c) d))
(* a (- (+ b c) d))
(* a (- (+ b c) d))
(* a (- (+ b c) d))
(* a (- (+ b c) d))
(* a (- (+ b c) d))
(* a (- (+ b c) d))
(* a (- (+ b c) d))
(* a (- (+ b c) d))
(* a (- (+ b c) d))
Outputs
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(*.f64 a (*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 b c)) d)))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(*.f64 a (*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 b c)) d)))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(*.f64 a (*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 b c)) d)))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(*.f64 a (*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 b c)) d)))
(+ (* a c) (* a d))
(*.f64 a (+.f64 c d))
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a b)
(*.f64 a b)
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(*.f64 b (+.f64 a (*.f64 a (+.f64 (/.f64 c b) (/.f64 d b)))))
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(*.f64 b (+.f64 a (*.f64 a (+.f64 (/.f64 c b) (/.f64 d b)))))
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(*.f64 b (+.f64 a (*.f64 a (+.f64 (/.f64 c b) (/.f64 d b)))))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(*.f64 b (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a (+.f64 c d)) b)) #s(literal -1 binary64)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(*.f64 b (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a (+.f64 c d)) b)) #s(literal -1 binary64)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(*.f64 b (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a (+.f64 c d)) b)) #s(literal -1 binary64)))
(+ (* a b) (* a d))
(*.f64 a (+.f64 b d))
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a c)
(*.f64 a c)
(* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))
(*.f64 c (+.f64 a (*.f64 a (+.f64 (/.f64 b c) (/.f64 d c)))))
(* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))
(*.f64 c (+.f64 a (*.f64 a (+.f64 (/.f64 b c) (/.f64 d c)))))
(* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))
(*.f64 c (+.f64 a (*.f64 a (+.f64 (/.f64 b c) (/.f64 d c)))))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a (+.f64 b d)) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a (+.f64 b d)) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a (+.f64 b d)) c)) (-.f64 #s(literal 0 binary64) c))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a d)
(*.f64 a d)
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 d (+.f64 a (*.f64 a (/.f64 (+.f64 b c) d))))
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 d (+.f64 a (*.f64 a (/.f64 (+.f64 b c) d))))
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 d (+.f64 a (*.f64 a (/.f64 (+.f64 b c) d))))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 d (*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (/.f64 (+.f64 b c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 d (*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (/.f64 (+.f64 b c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 d (*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a (/.f64 (+.f64 b c) d)))))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(* a c)
(*.f64 a c)
(+ (* a b) (* a c))
(*.f64 a (+.f64 b c))
(+ (* a b) (* a c))
(*.f64 a (+.f64 b c))
(+ (* a b) (* a c))
(*.f64 a (+.f64 b c))
(* a b)
(*.f64 a b)
(* b (+ a (/ (* a c) b)))
(*.f64 b (+.f64 a (/.f64 (*.f64 a c) b)))
(* b (+ a (/ (* a c) b)))
(*.f64 b (+.f64 a (/.f64 (*.f64 a c) b)))
(* b (+ a (/ (* a c) b)))
(*.f64 b (+.f64 a (/.f64 (*.f64 a c) b)))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a c) b)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a c) b)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a c) b)) (-.f64 #s(literal 0 binary64) b))
(* a b)
(*.f64 a b)
(+ (* a b) (* a c))
(*.f64 a (+.f64 b c))
(+ (* a b) (* a c))
(*.f64 a (+.f64 b c))
(+ (* a b) (* a c))
(*.f64 a (+.f64 b c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a b) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a b) c)))
(* c (+ a (/ (* a b) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a b) c)))
(* c (+ a (/ (* a b) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a b) c)))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a b) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a b) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a b) c)) (-.f64 #s(literal 0 binary64) c))
c
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
b
(* b (+ 1 (/ c b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 c b)))
(* b (+ 1 (/ c b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 c b)))
(* b (+ 1 (/ c b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 c b)))
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64))))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64))))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64))))
b
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
c
(* c (+ 1 (/ b c)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 b c)))
(* c (+ 1 (/ b c)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 b c)))
(* c (+ 1 (/ b c)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 b c)))
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) c))))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) c))))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) c))))
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a d)
(*.f64 a d)
(+ (* a c) (* a d))
(*.f64 a (+.f64 c d))
(+ (* a c) (* a d))
(*.f64 a (+.f64 c d))
(+ (* a c) (* a d))
(*.f64 a (+.f64 c d))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a d) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(* c (+ a (/ (* a d) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(* c (+ a (/ (* a d) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a d) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a d) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a d) c)) (-.f64 #s(literal 0 binary64) c))
(* a c)
(*.f64 a c)
(+ (* a c) (* a d))
(*.f64 a (+.f64 c d))
(+ (* a c) (* a d))
(*.f64 a (+.f64 c d))
(+ (* a c) (* a d))
(*.f64 a (+.f64 c d))
(* a d)
(*.f64 a d)
(* d (+ a (/ (* a c) d)))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(* d (+ a (/ (* a c) d)))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(* d (+ a (/ (* a c) d)))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a c) d)) (-.f64 #s(literal 0 binary64) d))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a c) d)) (-.f64 #s(literal 0 binary64) d))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a c) d)) (-.f64 #s(literal 0 binary64) d))
d
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
c
(* c (+ 1 (/ d c)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* c (+ 1 (/ d c)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* c (+ 1 (/ d c)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 d c)))
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 d c))))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 d c))))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 d c))))
c
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
d
(* d (+ 1 (/ c d)))
(*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* d (+ 1 (/ c d)))
(*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* d (+ 1 (/ c d)))
(*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d)))
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 d (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c d)))))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 d (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c d)))))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 d (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c d)))))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a b)
(*.f64 a b)
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 b (+.f64 a (/.f64 (*.f64 a (+.f64 c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 b (+.f64 a (/.f64 (*.f64 a (+.f64 c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 b (+.f64 a (/.f64 (*.f64 a (+.f64 c d)) b)))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 b (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a (+.f64 c d)) b)) #s(literal -1 binary64)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 b (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a (+.f64 c d)) b)) #s(literal -1 binary64)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 b (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a (+.f64 c d)) b)) #s(literal -1 binary64)))
(* a (+ b d))
(*.f64 a (+.f64 b d))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a (+.f64 b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a (+.f64 b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a (+.f64 b d)) c)))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a (+.f64 b d)) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a (+.f64 b d)) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a (+.f64 b d)) c)) (-.f64 #s(literal 0 binary64) c))
(* a (+ b c))
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(-.f64 #s(literal 0 binary64) (*.f64 a d))
(* -1 (* d (+ a (* -1 (/ (* a (+ b c)) d)))))
(*.f64 (-.f64 a (*.f64 a (/.f64 (+.f64 b c) d))) (-.f64 #s(literal 0 binary64) d))
(* -1 (* d (+ a (* -1 (/ (* a (+ b c)) d)))))
(*.f64 (-.f64 a (*.f64 a (/.f64 (+.f64 b c) d))) (-.f64 #s(literal 0 binary64) d))
(* -1 (* d (+ a (* -1 (/ (* a (+ b c)) d)))))
(*.f64 (-.f64 a (*.f64 a (/.f64 (+.f64 b c) d))) (-.f64 #s(literal 0 binary64) d))
(* a (- (+ b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))
(* a (- (+ b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))
(* a (- (+ b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))
(* a (- (+ b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))
(* a (- (+ b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))
(* a (- (+ b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))
(* a (- (+ b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))
(* a (- (+ b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))
(* a (- (+ b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))
(* a (- (+ b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))
(* a (- (+ b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))
(* a (- (+ b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))

eval353.0ms (5.2%)

Compiler

Compiled 49507 to 4563 computations (90.8% saved)

prune222.0ms (3.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New183131834
Fresh101
Picked235
Done011
Total183471841
Accuracy
100.0%
Counts
1841 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
▶99.7%
(+.f64 (*.f64 a d) (*.f64 a c))
▶99.6%
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
▶99.5%
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
✓99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
✓99.6%
(*.f64 a (+.f64 c d))
✓93.7%
(*.f64 a d)
Compiler

Compiled 77 to 49 computations (36.4% saved)

simplify349.0ms (5.1%)

Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 a c)
✓cost-diff0
(*.f64 a d)
✓cost-diff128
(+.f64 (*.f64 a d) (*.f64 a c))
✓cost-diff0
(*.f64 a c)
✓cost-diff0
(/.f64 (*.f64 a c) d)
✓cost-diff0
(+.f64 a (/.f64 (*.f64 a c) d))
✓cost-diff256
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
✓cost-diff0
(*.f64 a d)
✓cost-diff0
(/.f64 (*.f64 a d) c)
✓cost-diff0
(+.f64 a (/.f64 (*.f64 a d) c))
✓cost-diff256
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
Rules
7846×*-lowering-*.f32
7846×*-lowering-*.f64
2896×cube-prod
2000×fma-define
1950×swap-sqr
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01272
13667
27667
313364
420058
522958
6105358
7274458
8372258
9428758
10469758
11516458
12582058
13641058
14669158
15675358
16683758
17690358
18749658
0810258
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* c (+ a (/ (* a d) c)))
c
(+ a (/ (* a d) c))
a
(/ (* a d) c)
(* a d)
d
(* d (+ a (/ (* a c) d)))
d
(+ a (/ (* a c) d))
a
(/ (* a c) d)
(* a c)
c
(+ (* a d) (* a c))
(* a d)
a
d
(* a c)
c
Outputs
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 c d))
c
(+ a (/ (* a d) c))
(*.f64 a (+.f64 (/.f64 d c) #s(literal 1 binary64)))
a
(/ (* a d) c)
(/.f64 a (/.f64 c d))
(* a d)
(*.f64 a d)
d
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 c d))
d
(+ a (/ (* a c) d))
(*.f64 a (+.f64 (/.f64 c d) #s(literal 1 binary64)))
a
(/ (* a c) d)
(/.f64 a (/.f64 d c))
(* a c)
(*.f64 c a)
c
(+ (* a d) (* a c))
(*.f64 a (+.f64 c d))
(* a d)
(*.f64 a d)
a
d
(* a c)
(*.f64 c a)
c

localize100.0ms (1.5%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 a d)
✓accuracy100.0%
(*.f64 a c)
✓accuracy99.9%
(+.f64 (*.f64 a d) (*.f64 a c))
✓accuracy100.0%
(+.f64 a (/.f64 (*.f64 a c) d))
✓accuracy100.0%
(*.f64 a c)
✓accuracy99.9%
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
✓accuracy99.5%
(/.f64 (*.f64 a c) d)
✓accuracy100.0%
(*.f64 a d)
✓accuracy99.9%
(+.f64 a (/.f64 (*.f64 a d) c))
✓accuracy99.6%
(/.f64 (*.f64 a d) c)
✓accuracy99.6%
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
Results
86.0ms256×0valid
Compiler

Compiled 75 to 14 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (48.1% of total)
ival-div: 3.0ms (20.6% of total)
ival-add: 3.0ms (20.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series60.0ms (0.9%)

Counts
9 → 300
Calls
Call 1
Inputs
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (+ a (/ (* a d) c))>
#<alt (/ (* a d) c)>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (+ a (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* a c)>
#<alt (+ (* a d) (* a c))>
Outputs
#<alt (* a d)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* a (* c (+ 1 (/ d c))))>
#<alt (* a (* c (+ 1 (/ d c))))>
#<alt (* a (* c (+ 1 (/ d c))))>
#<alt (* a (* c (+ 1 (/ d c))))>
#<alt (* a (* c (+ 1 (/ d c))))>
#<alt (* a (* c (+ 1 (/ d c))))>
#<alt (* a (* c (+ 1 (/ d c))))>
#<alt (* a (* c (+ 1 (/ d c))))>
#<alt (* -1 (* a (* c (- (* -1 (/ d c)) 1))))>
#<alt (* -1 (* a (* c (- (* -1 (/ d c)) 1))))>
#<alt (* -1 (* a (* c (- (* -1 (/ d c)) 1))))>
#<alt (* -1 (* a (* c (- (* -1 (/ d c)) 1))))>
#<alt (* a c)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* a (+ 1 (/ d c)))>
#<alt (* a (+ 1 (/ d c)))>
#<alt (* a (+ 1 (/ d c)))>
#<alt (* a (+ 1 (/ d c)))>
#<alt (* a (+ 1 (/ d c)))>
#<alt (* a (+ 1 (/ d c)))>
#<alt (* a (+ 1 (/ d c)))>
#<alt (* a (+ 1 (/ d c)))>
#<alt (* -1 (* a (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d c)) 1)))>
#<alt a>
#<alt (+ a (/ (* a d) c))>
#<alt (+ a (/ (* a d) c))>
#<alt (+ a (/ (* a d) c))>
#<alt (/ (* a d) c)>
#<alt (* d (+ (/ a c) (/ a d)))>
#<alt (* d (+ (/ a c) (/ a d)))>
#<alt (* d (+ (/ a c) (/ a d)))>
#<alt (/ (* a d) c)>
#<alt (* -1 (* d (+ (* -1 (/ a c)) (* -1 (/ a d)))))>
#<alt (* -1 (* d (+ (* -1 (/ a c)) (* -1 (/ a d)))))>
#<alt (* -1 (* d (+ (* -1 (/ a c)) (* -1 (/ a d)))))>
#<alt (/ (* a d) c)>
#<alt (/ (+ (* a c) (* a d)) c)>
#<alt (/ (+ (* a c) (* a d)) c)>
#<alt (/ (+ (* a c) (* a d)) c)>
#<alt a>
#<alt (+ a (/ (* a d) c))>
#<alt (+ a (/ (* a d) c))>
#<alt (+ a (/ (* a d) c))>
#<alt a>
#<alt (+ a (/ (* a d) c))>
#<alt (+ a (/ (* a d) c))>
#<alt (+ a (/ (* a d) c))>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (/ (* a d) c)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a c)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* a (* d (+ 1 (/ c d))))>
#<alt (* -1 (* a (* d (- (* -1 (/ c d)) 1))))>
#<alt (* -1 (* a (* d (- (* -1 (/ c d)) 1))))>
#<alt (* -1 (* a (* d (- (* -1 (/ c d)) 1))))>
#<alt (* -1 (* a (* d (- (* -1 (/ c d)) 1))))>
#<alt (* a d)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* a (+ 1 (/ c d)))>
#<alt (* a (+ 1 (/ c d)))>
#<alt (* a (+ 1 (/ c d)))>
#<alt (* a (+ 1 (/ c d)))>
#<alt (* a (+ 1 (/ c d)))>
#<alt (* a (+ 1 (/ c d)))>
#<alt (* a (+ 1 (/ c d)))>
#<alt (* a (+ 1 (/ c d)))>
#<alt (* -1 (* a (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ c d)) 1)))>
#<alt a>
#<alt (+ a (/ (* a c) d))>
#<alt (+ a (/ (* a c) d))>
#<alt (+ a (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* c (+ (/ a c) (/ a d)))>
#<alt (* c (+ (/ a c) (/ a d)))>
#<alt (* c (+ (/ a c) (/ a d)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* c (+ (* -1 (/ a c)) (* -1 (/ a d)))))>
#<alt (* -1 (* c (+ (* -1 (/ a c)) (* -1 (/ a d)))))>
#<alt (* -1 (* c (+ (* -1 (/ a c)) (* -1 (/ a d)))))>
#<alt (/ (* a c) d)>
#<alt (/ (+ (* a c) (* a d)) d)>
#<alt (/ (+ (* a c) (* a d)) d)>
#<alt (/ (+ (* a c) (* a d)) d)>
#<alt a>
#<alt (+ a (/ (* a c) d))>
#<alt (+ a (/ (* a c) d))>
#<alt (+ a (/ (* a c) d))>
#<alt a>
#<alt (+ a (/ (* a c) d))>
#<alt (+ a (/ (* a c) d))>
#<alt (+ a (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 d))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 d))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 d))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 d))))>
#<alt (* a c)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* a d)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
Calls

75 calls:

TimeVariablePointExpression
5.0ms
c
@0
(/ (* a d) c)
1.0ms
a
@inf
(* c (+ a (/ (* a d) c)))
1.0ms
a
@0
(* c (+ a (/ (* a d) c)))
1.0ms
a
@0
(* d (+ a (/ (* a c) d)))
1.0ms
a
@-inf
(* d (+ a (/ (* a c) d)))

rewrite332.0ms (4.9%)

Algorithm
1×batch-egg-rewrite
Rules
5352×*-lowering-*.f32
5352×*-lowering-*.f64
2598×/-lowering-/.f32
2598×/-lowering-/.f64
1510×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01257
18652
284443
0927943
Stop Event
1×iter limit
1×node limit
Counts
9 → 552
Calls
Call 1
Inputs
(* c (+ a (/ (* a d) c)))
(+ a (/ (* a d) c))
(/ (* a d) c)
(* a d)
(* d (+ a (/ (* a c) d)))
(+ a (/ (* a c) d))
(/ (* a c) d)
(* a c)
(+ (* a d) (* a c))
Outputs
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 a (-.f64 d c))) (neg.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 a (-.f64 d c)))))
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 a (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 a (-.f64 d c))))
(-.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 a (-.f64 c d))) (/.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 a (-.f64 c d))))
(fma.f64 c a (*.f64 a d))
(fma.f64 c (/.f64 a (/.f64 c d)) (*.f64 c a))
(fma.f64 a c (*.f64 a d))
(fma.f64 a d (*.f64 c a))
(fma.f64 d a (*.f64 c a))
(fma.f64 d (/.f64 a (/.f64 d c)) (*.f64 a d))
(fma.f64 (*.f64 a d) #s(literal 1 binary64) (*.f64 c a))
(fma.f64 (*.f64 a d) (/.f64 c d) (*.f64 a d))
(fma.f64 (/.f64 a (/.f64 c d)) c (*.f64 c a))
(fma.f64 (*.f64 c a) #s(literal 1 binary64) (*.f64 a d))
(fma.f64 (*.f64 c a) (/.f64 d c) (*.f64 c a))
(fma.f64 (/.f64 a (/.f64 d c)) d (*.f64 a d))
(fma.f64 (*.f64 d (*.f64 c a)) (/.f64 #s(literal 1 binary64) d) (*.f64 a d))
(fma.f64 (*.f64 c (*.f64 a d)) (/.f64 #s(literal 1 binary64) c) (*.f64 c a))
(neg.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 c (*.f64 a (*.f64 a (-.f64 c d))))))))
(neg.f64 (/.f64 (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a (-.f64 d c))) (-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 d c)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))) (+.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 c (*.f64 a (*.f64 a (-.f64 c d)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a (-.f64 d c)))) (*.f64 a (-.f64 d c))))
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(/.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 c d)) (-.f64 a (/.f64 a (/.f64 c d))))) (+.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (/.f64 c d))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a a) (/.f64 (-.f64 (/.f64 a (/.f64 c d)) a) (/.f64 (/.f64 c d) a))) (*.f64 a (+.f64 c d)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (/.f64 (-.f64 (/.f64 a (/.f64 c d)) a) (/.f64 (/.f64 c d) a)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a (-.f64 a (/.f64 (/.f64 d c) (/.f64 (/.f64 c d) a)))) c)) (+.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (/.f64 c d))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 a (-.f64 d c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 a (-.f64 d c))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 a (-.f64 d c))) (/.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 a (-.f64 d c)))) (+.f64 (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 a (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 a (-.f64 d c)))) (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 a (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 a (-.f64 d c)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 a (-.f64 d c))) (/.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 a (-.f64 d c)))) (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 a (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 a (-.f64 d c))))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 a (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 a (-.f64 d c)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 c d))) #s(literal -1 binary64))
(*.f64 c (*.f64 (+.f64 (/.f64 d c) #s(literal 1 binary64)) a))
(*.f64 a (+.f64 c d))
(*.f64 d (*.f64 (+.f64 (/.f64 c d) #s(literal 1 binary64)) a))
(*.f64 (*.f64 (+.f64 (/.f64 d c) #s(literal 1 binary64)) a) c)
(*.f64 (*.f64 (+.f64 (/.f64 c d) #s(literal 1 binary64)) a) d)
(*.f64 (*.f64 a (+.f64 c d)) (*.f64 (*.f64 a (-.f64 d c)) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 d c)))))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) (/.f64 (/.f64 (*.f64 a d) (/.f64 c (/.f64 a (/.f64 c d)))) (/.f64 (/.f64 c d) a))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (/.f64 (-.f64 (/.f64 a (/.f64 c d)) a) (/.f64 (/.f64 c d) a)))) c))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 (/.f64 d (*.f64 c a)) (/.f64 a (/.f64 d c))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (/.f64 (-.f64 (/.f64 a (/.f64 d c)) a) (/.f64 d (*.f64 c a))))) d))
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 c (*.f64 a (*.f64 a (-.f64 c d)))))))
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 a d) (*.f64 a (-.f64 d c))))))
(*.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 c (*.f64 a (*.f64 a (-.f64 c d))))) (*.f64 (*.f64 a (+.f64 c d)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 c (*.f64 a (*.f64 a (-.f64 c d))))))))
(*.f64 #s(literal 1 binary64) (*.f64 a (+.f64 c d)))
(*.f64 (*.f64 a (-.f64 a (/.f64 (/.f64 d c) (/.f64 (/.f64 c d) a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a (/.f64 a (/.f64 c d)))) c))
(*.f64 (*.f64 a (-.f64 a (/.f64 (/.f64 c d) (/.f64 d (*.f64 c a))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a (/.f64 a (/.f64 d c)))) d))
(*.f64 (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a (-.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 d c))))
(*.f64 (+.f64 c d) a)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 d d))) (*.f64 c (*.f64 a (*.f64 a (-.f64 c d))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 d c)))))
(*.f64 (*.f64 d (+.f64 (*.f64 a (*.f64 a a)) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 (/.f64 d (*.f64 c a)) (/.f64 a (/.f64 d c)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (/.f64 (-.f64 (/.f64 a (/.f64 d c)) a) (/.f64 d (*.f64 c a))))))
(*.f64 (*.f64 (*.f64 a (+.f64 c d)) (-.f64 a (/.f64 a (/.f64 d c)))) (/.f64 #s(literal 1 binary64) (-.f64 a (/.f64 a (/.f64 d c)))))
(*.f64 (*.f64 c (+.f64 (*.f64 a (*.f64 a a)) (/.f64 (/.f64 (*.f64 a d) (/.f64 c (/.f64 a (/.f64 c d)))) (/.f64 (/.f64 c d) a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (/.f64 (-.f64 (/.f64 a (/.f64 c d)) a) (/.f64 (/.f64 c d) a)))))
(*.f64 (*.f64 (*.f64 a (+.f64 c d)) (-.f64 a (/.f64 a (/.f64 c d)))) (/.f64 #s(literal 1 binary64) (-.f64 a (/.f64 a (/.f64 c d)))))
(*.f64 (*.f64 (+.f64 (*.f64 a a) (/.f64 (-.f64 (/.f64 a (/.f64 d c)) a) (/.f64 d (*.f64 c a)))) (*.f64 a (+.f64 c d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (/.f64 (-.f64 (/.f64 a (/.f64 d c)) a) (/.f64 d (*.f64 c a))))))
(*.f64 (*.f64 (*.f64 a (-.f64 a (/.f64 (/.f64 c d) (/.f64 d (*.f64 c a))))) d) (/.f64 #s(literal 1 binary64) (-.f64 a (/.f64 a (/.f64 d c)))))
(*.f64 (*.f64 (+.f64 (*.f64 a a) (/.f64 (-.f64 (/.f64 a (/.f64 c d)) a) (/.f64 (/.f64 c d) a))) (*.f64 a (+.f64 c d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (/.f64 (-.f64 (/.f64 a (/.f64 c d)) a) (/.f64 (/.f64 c d) a)))))
(*.f64 (*.f64 (*.f64 a (-.f64 a (/.f64 (/.f64 d c) (/.f64 (/.f64 c d) a)))) c) (/.f64 #s(literal 1 binary64) (-.f64 a (/.f64 a (/.f64 c d)))))
(*.f64 (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a (-.f64 c d))) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 c d))))
(*.f64 (/.f64 (*.f64 a (+.f64 c d)) a) (/.f64 (*.f64 a (-.f64 d c)) (-.f64 d c)))

simplify183.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1880×fnmsub-define
1632×fnmadd-define
1458×fmm-def
1324×sum5-define
1252×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0681464
12551404
28011404
322851404
465081404
081161404
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* a d)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a c)
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* a (* c (+ 1 (/ d c))))
(* a (* c (+ 1 (/ d c))))
(* a (* c (+ 1 (/ d c))))
(* a (* c (+ 1 (/ d c))))
(* a (* c (+ 1 (/ d c))))
(* a (* c (+ 1 (/ d c))))
(* a (* c (+ 1 (/ d c))))
(* a (* c (+ 1 (/ d c))))
(* -1 (* a (* c (- (* -1 (/ d c)) 1))))
(* -1 (* a (* c (- (* -1 (/ d c)) 1))))
(* -1 (* a (* c (- (* -1 (/ d c)) 1))))
(* -1 (* a (* c (- (* -1 (/ d c)) 1))))
(* a c)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a d)
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* a (+ 1 (/ d c)))
(* a (+ 1 (/ d c)))
(* a (+ 1 (/ d c)))
(* a (+ 1 (/ d c)))
(* a (+ 1 (/ d c)))
(* a (+ 1 (/ d c)))
(* a (+ 1 (/ d c)))
(* a (+ 1 (/ d c)))
(* -1 (* a (- (* -1 (/ d c)) 1)))
(* -1 (* a (- (* -1 (/ d c)) 1)))
(* -1 (* a (- (* -1 (/ d c)) 1)))
(* -1 (* a (- (* -1 (/ d c)) 1)))
a
(+ a (/ (* a d) c))
(+ a (/ (* a d) c))
(+ a (/ (* a d) c))
(/ (* a d) c)
(* d (+ (/ a c) (/ a d)))
(* d (+ (/ a c) (/ a d)))
(* d (+ (/ a c) (/ a d)))
(/ (* a d) c)
(* -1 (* d (+ (* -1 (/ a c)) (* -1 (/ a d)))))
(* -1 (* d (+ (* -1 (/ a c)) (* -1 (/ a d)))))
(* -1 (* d (+ (* -1 (/ a c)) (* -1 (/ a d)))))
(/ (* a d) c)
(/ (+ (* a c) (* a d)) c)
(/ (+ (* a c) (* a d)) c)
(/ (+ (* a c) (* a d)) c)
a
(+ a (/ (* a d) c))
(+ a (/ (* a d) c))
(+ a (/ (* a d) c))
a
(+ a (/ (* a d) c))
(+ a (/ (* a d) c))
(+ a (/ (* a d) c))
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a c)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a d)
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* a (* d (+ 1 (/ c d))))
(* -1 (* a (* d (- (* -1 (/ c d)) 1))))
(* -1 (* a (* d (- (* -1 (/ c d)) 1))))
(* -1 (* a (* d (- (* -1 (/ c d)) 1))))
(* -1 (* a (* d (- (* -1 (/ c d)) 1))))
(* a d)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a c)
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* a (+ 1 (/ c d)))
(* a (+ 1 (/ c d)))
(* a (+ 1 (/ c d)))
(* a (+ 1 (/ c d)))
(* a (+ 1 (/ c d)))
(* a (+ 1 (/ c d)))
(* a (+ 1 (/ c d)))
(* a (+ 1 (/ c d)))
(* -1 (* a (- (* -1 (/ c d)) 1)))
(* -1 (* a (- (* -1 (/ c d)) 1)))
(* -1 (* a (- (* -1 (/ c d)) 1)))
(* -1 (* a (- (* -1 (/ c d)) 1)))
a
(+ a (/ (* a c) d))
(+ a (/ (* a c) d))
(+ a (/ (* a c) d))
(/ (* a c) d)
(* c (+ (/ a c) (/ a d)))
(* c (+ (/ a c) (/ a d)))
(* c (+ (/ a c) (/ a d)))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a c)) (* -1 (/ a d)))))
(* -1 (* c (+ (* -1 (/ a c)) (* -1 (/ a d)))))
(* -1 (* c (+ (* -1 (/ a c)) (* -1 (/ a d)))))
(/ (* a c) d)
(/ (+ (* a c) (* a d)) d)
(/ (+ (* a c) (* a d)) d)
(/ (+ (* a c) (* a d)) d)
a
(+ a (/ (* a c) d))
(+ a (/ (* a c) d))
(+ a (/ (* a c) d))
a
(+ a (/ (* a c) d))
(+ a (/ (* a c) d))
(+ a (/ (* a c) d))
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(* a c)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a d)
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* a d)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a c)
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
Outputs
(* a d)
(*.f64 a d)
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* a (* c (+ 1 (/ d c))))
(*.f64 a (+.f64 d c))
(* a (* c (+ 1 (/ d c))))
(*.f64 a (+.f64 d c))
(* a (* c (+ 1 (/ d c))))
(*.f64 a (+.f64 d c))
(* a (* c (+ 1 (/ d c))))
(*.f64 a (+.f64 d c))
(* a (* c (+ 1 (/ d c))))
(*.f64 a (+.f64 d c))
(* a (* c (+ 1 (/ d c))))
(*.f64 a (+.f64 d c))
(* a (* c (+ 1 (/ d c))))
(*.f64 a (+.f64 d c))
(* a (* c (+ 1 (/ d c))))
(*.f64 a (+.f64 d c))
(* -1 (* a (* c (- (* -1 (/ d c)) 1))))
(*.f64 a (+.f64 d c))
(* -1 (* a (* c (- (* -1 (/ d c)) 1))))
(*.f64 a (+.f64 d c))
(* -1 (* a (* c (- (* -1 (/ d c)) 1))))
(*.f64 a (+.f64 d c))
(* -1 (* a (* c (- (* -1 (/ d c)) 1))))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* a (+ 1 (/ d c)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* a (+ 1 (/ d c)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* a (+ 1 (/ d c)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* a (+ 1 (/ d c)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* a (+ 1 (/ d c)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* a (+ 1 (/ d c)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* a (+ 1 (/ d c)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* a (+ 1 (/ d c)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* -1 (* a (- (* -1 (/ d c)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* -1 (* a (- (* -1 (/ d c)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* -1 (* a (- (* -1 (/ d c)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* -1 (* a (- (* -1 (/ d c)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
a
(+ a (/ (* a d) c))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(+ a (/ (* a d) c))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(+ a (/ (* a d) c))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(* d (+ (/ a c) (/ a d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* d (+ (/ a c) (/ a d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* d (+ (/ a c) (/ a d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(* -1 (* d (+ (* -1 (/ a c)) (* -1 (/ a d)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* -1 (* d (+ (* -1 (/ a c)) (* -1 (/ a d)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(* -1 (* d (+ (* -1 (/ a c)) (* -1 (/ a d)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (+ (* a c) (* a d)) c)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(/ (+ (* a c) (* a d)) c)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(/ (+ (* a c) (* a d)) c)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
a
(+ a (/ (* a d) c))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(+ a (/ (* a d) c))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(+ a (/ (* a d) c))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
a
(+ a (/ (* a d) c))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(+ a (/ (* a d) c))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(+ a (/ (* a d) c))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 d c)))
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(/ (* a d) c)
(/.f64 (*.f64 a d) c)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a c)
(*.f64 a c)
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* a (* d (+ 1 (/ c d))))
(*.f64 a (+.f64 d c))
(* -1 (* a (* d (- (* -1 (/ c d)) 1))))
(*.f64 a (+.f64 d c))
(* -1 (* a (* d (- (* -1 (/ c d)) 1))))
(*.f64 a (+.f64 d c))
(* -1 (* a (* d (- (* -1 (/ c d)) 1))))
(*.f64 a (+.f64 d c))
(* -1 (* a (* d (- (* -1 (/ c d)) 1))))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* a (+ 1 (/ c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* a (+ 1 (/ c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* a (+ 1 (/ c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* a (+ 1 (/ c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* a (+ 1 (/ c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* a (+ 1 (/ c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* a (+ 1 (/ c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* a (+ 1 (/ c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* -1 (* a (- (* -1 (/ c d)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* -1 (* a (- (* -1 (/ c d)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* -1 (* a (- (* -1 (/ c d)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* -1 (* a (- (* -1 (/ c d)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
a
(+ a (/ (* a c) d))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(+ a (/ (* a c) d))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(+ a (/ (* a c) d))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* c (+ (/ a c) (/ a d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* c (+ (/ a c) (/ a d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* c (+ (/ a c) (/ a d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* -1 (* c (+ (* -1 (/ a c)) (* -1 (/ a d)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* -1 (* c (+ (* -1 (/ a c)) (* -1 (/ a d)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(* -1 (* c (+ (* -1 (/ a c)) (* -1 (/ a d)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (+ (* a c) (* a d)) d)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(/ (+ (* a c) (* a d)) d)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(/ (+ (* a c) (* a d)) d)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
a
(+ a (/ (* a c) d))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(+ a (/ (* a c) d))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(+ a (/ (* a c) d))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
a
(+ a (/ (* a c) d))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(+ a (/ (* a c) d))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(+ a (/ (* a c) d))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(*.f64 a (+.f64 d c))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(*.f64 a (+.f64 d c))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(*.f64 a (+.f64 d c))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))

eval138.0ms (2%)

Compiler

Compiled 16445 to 1335 computations (91.9% saved)

prune72.0ms (1.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New100001000
Fresh000
Picked033
Done044
Total100071007
Accuracy
100.0%
Counts
1007 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
✓99.7%
(+.f64 (*.f64 a d) (*.f64 a c))
✓99.6%
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
✓99.5%
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
✓99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
✓99.6%
(*.f64 a (+.f64 c d))
✓93.7%
(*.f64 a d)
Compiler

Compiled 201 to 90 computations (55.2% saved)

regimes30.0ms (0.4%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 a d)
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (*.f64 a d) (*.f64 a c))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(*.f64 a (*.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (-.f64 b c) d)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 b c) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 c (-.f64 b d)) (*.f64 (+.f64 b (+.f64 c d)) (*.f64 (+.f64 c (-.f64 b d)) a))))
(/.f64 (-.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a (+.f64 b c))))) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))
Outputs
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
Calls

7 calls:

8.0ms
d
4.0ms
(+.f64 b c)
3.0ms
c
3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1c
99.9%1d
99.9%1(*.f64 a (+.f64 (+.f64 b c) d))
99.9%1(+.f64 (+.f64 b c) d)
99.9%1(+.f64 b c)
Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes20.0ms (0.3%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 a d)
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (*.f64 a d) (*.f64 a c))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
Calls

7 calls:

4.0ms
(+.f64 b c)
3.0ms
b
3.0ms
(+.f64 (+.f64 b c) d)
3.0ms
c
3.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1c
99.9%1d
99.9%1(*.f64 a (+.f64 (+.f64 b c) d))
99.9%1(+.f64 (+.f64 b c) d)
99.9%1(+.f64 b c)
Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes7.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 a d)
(*.f64 a (+.f64 c d))
Outputs
(*.f64 a (+.f64 c d))
Calls

4 calls:

2.0ms
d
2.0ms
c
2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1c
99.6%1d
Compiler

Compiled 20 to 16 computations (20% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 a d)
Outputs
(*.f64 a d)
Calls

4 calls:

3.0ms
b
1.0ms
a
1.0ms
d
1.0ms
c
Results
AccuracySegmentsBranch
93.7%1a
93.7%1b
93.7%1c
93.7%1d
Compiler

Compiled 20 to 16 computations (20% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
8×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
12024
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c d))
(*.f64 a d)
Outputs
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c d))
(*.f64 a d)

soundness540.0ms (7.9%)

Rules
3572×*-lowering-*.f32
3572×*-lowering-*.f64
2634×/-lowering-/.f32
2634×/-lowering-/.f64
2422×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084516
1292450
2886450
32781450
08007450
0713
14413
241813
3625313
0828113
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 57 to 31 computations (45.6% saved)

preprocess59.0ms (0.9%)

Remove

(negabs a)

Compiler

Compiled 260 to 150 computations (42.3% saved)

end0.0ms (0%)

Profiling

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