Complex division, real part

Time bar (total: 10.0s)

analyze25.0ms (0.3%)

Memory
27.2MiB live, 66.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (12.1%)

Memory
-11.4MiB live, 1 587.2MiB allocated
Samples
816.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 571.0ms
ival-mult: 355.0ms (62.2% of total)
ival-add: 156.0ms (27.3% of total)
ival-div: 51.0ms (8.9% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

preprocess333.0ms (3.3%)

Memory
-0.0MiB live, 38.1MiB allocated
Algorithm
1×egg-herbie
Rules
2 210×times-frac
1 210×div-sub
1 068×distribute-rgt-in
1 028×distribute-lft-in
988×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060218
1132210
2209210
3377210
4914210
52299210
63076210
73886210
84759210
95156210
105284210
115444210
125444210
135480210
145496210
155496210
165856210
176830210
186982210
196994210
206998210
217006210
227014210
237014210
247122210
257170210
267170210
01115
01815
12215
02213
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))

explain268.0ms (2.7%)

Memory
8.3MiB live, 203.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
910-3(-8.780805247945404e+177 -1.7139950442139192e-26 1.9852838629869344e-261 8.590555552508789e-159)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
10-0-(+.f64 (*.f64 a c) (*.f64 b d))
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
00-0-d
00-0-(*.f64 d d)
00-0-(*.f64 c c)
00-0-(*.f64 a c)
00-0-c
00-0-b
00-0-(*.f64 b d)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/o450
↳(+.f64 (*.f64 a c) (*.f64 b d))overflow57
↳(*.f64 a c)overflow32
↳(*.f64 b d)overflow29
↳(+.f64 (*.f64 c c) (*.f64 d d))overflow105
↳(*.f64 c c)overflow61
↳(*.f64 d d)overflow58
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o230
↳(+.f64 (*.f64 c c) (*.f64 d d))overflow105
↳(*.f64 c c)overflow61
↳(*.f64 d d)overflow58
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n120
↳(+.f64 (*.f64 a c) (*.f64 b d))overflow57
↳(*.f64 a c)overflow32
↳(*.f64 b d)overflow29
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u60
↳(+.f64 (*.f64 a c) (*.f64 b d))underflow6
↳(*.f64 a c)underflow25
↳(*.f64 b d)underflow36
↳(+.f64 (*.f64 c c) (*.f64 d d))underflow14
↳(*.f64 c c)underflow58
↳(*.f64 d d)underflow65
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u20
↳(+.f64 (*.f64 c c) (*.f64 d d))underflow14
↳(*.f64 c c)underflow58
↳(*.f64 d d)underflow65
+.f64(+.f64 (*.f64 a c) (*.f64 b d))nan-rescue10
↳(*.f64 a c)overflow32
↳(*.f64 b d)overflow29
Confusion
Predicted +Predicted -
+883
-0165
Precision
1.0
Recall
0.967032967032967
Confusion?
Predicted +Predicted MaybePredicted -
+8803
-00165
Precision?
1.0
Recall?
0.967032967032967
Freqs
test
numberfreq
0168
187
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms512×0valid
Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-add: 31.0ms (64.7% of total)
ival-mult: 13.0ms (27.1% of total)
ival-div: 3.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.6%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify5.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 a c)
✓cost-diff0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
✓cost-diff128
(+.f64 (*.f64 c c) (*.f64 d d))
✓cost-diff128
(+.f64 (*.f64 a c) (*.f64 b d))
Rules
12×lower-fma.f64
12×lower-fma.f32
12×lower-*.f32
8×lift-*.f64
8×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01845
12245
02241
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
Outputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(*.f64 c c)
(*.f64 d d)

localize86.0ms (0.9%)

Memory
-16.0MiB live, 61.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 b d)
✓accuracy100.0%
(*.f64 a c)
✓accuracy99.6%
(+.f64 (*.f64 a c) (*.f64 b d))
✓accuracy67.0%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
49.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 35.0ms (89% of total)
ival-div: 2.0ms (5.1% of total)
ival-add: 2.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
26.9MiB live, 26.9MiB allocated
Counts
5 → 168
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (+.f64 (*.f64 c c) (*.f64 d d))>
#<alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))>
#<alt (*.f64 a c)>
#<alt (*.f64 b d)>
Outputs
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) 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 (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
Calls

42 calls:

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

rewrite911.0ms (9.1%)

Memory
-35.3MiB live, 485.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 970×lower-fma.f64
5 970×lower-fma.f32
5 332×lower-*.f32
5 324×lower-*.f64
2 426×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
01835
15835
243535
3507335
0876031
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 346
Calls
Call 1
Inputs
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a c)
(*.f64 b d)
Outputs
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 b d) (*.f64 a c))
(+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(+.f64 (neg.f64 (*.f64 b (neg.f64 d))) (neg.f64 (*.f64 a (neg.f64 c))))
(+.f64 (neg.f64 (*.f64 a (neg.f64 c))) (neg.f64 (*.f64 b (neg.f64 d))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a c (*.f64 b d))))
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b d (*.f64 a (neg.f64 c)))))
(fma.f64 a c (*.f64 b d))
(fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 c a (*.f64 b d))
(fma.f64 c (/.f64 (*.f64 a (*.f64 a c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 c (exp.f64 (log.f64 a)) (*.f64 b d))
(fma.f64 (*.f64 a c) (/.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
(fma.f64 d (exp.f64 (log.f64 b)) (*.f64 a c))
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(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d)))))
(exp.f64 (log.f64 (*.f64 a c)))
(exp.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 1 binary64)))
(pow.f64 (*.f64 a c) #s(literal 1 binary64))
(*.f64 a c)
(*.f64 c a)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) c)
(exp.f64 (log.f64 (*.f64 b d)))
(exp.f64 (*.f64 (log.f64 (*.f64 b d)) #s(literal 1 binary64)))
(pow.f64 (*.f64 b d) #s(literal 1 binary64))
(*.f64 b d)
(*.f64 d b)
(*.f64 d (exp.f64 (log.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) d)

simplify595.0ms (6%)

Memory
33.2MiB live, 455.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 676×lower-fma.f64
7 676×lower-fma.f32
4 326×lower-*.f64
4 326×lower-*.f32
1 822×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861428
16181418
218921394
357631392
081851262
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) 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)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
Outputs
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (*.f64 a c))
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (*.f64 a c))
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (*.f64 a c))
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (*.f64 a c))
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (*.f64 a c))
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (*.f64 a c))
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (*.f64 a c))
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (*.f64 a c))
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (*.f64 a c))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) c)) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 (fma.f64 d (/.f64 b (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c)))) d)) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) 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)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)

eval91.0ms (0.9%)

Memory
-4.1MiB live, 146.3MiB allocated
Compiler

Compiled 17 707 to 1 042 computations (94.1% saved)

prune69.0ms (0.7%)

Memory
-1.0MiB live, 199.4MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New50014514
Fresh000
Picked101
Done000
Total50114515
Accuracy
99.8%
Counts
515 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.1%
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))
▶49.0%
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
51.1%
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
53.1%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
56.5%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
40.6%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
▶35.8%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
52.5%
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)
41.0%
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 b d (*.f64 a (neg.f64 c)))))
▶42.4%
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
43.7%
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
41.6%
(/.f64 b d)
▶42.6%
(/.f64 a c)
▶66.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
Compiler

Compiled 442 to 246 computations (44.3% saved)

simplify337.0ms (3.4%)

Memory
-31.9MiB live, 478.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 a c)
✓cost-diff0
(*.f64 c c)
✓cost-diff0
(/.f64 d (*.f64 c c))
✓cost-diff384
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
✓cost-diff0
(*.f64 b d)
✓cost-diff0
(*.f64 a c)
✓cost-diff0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
✓cost-diff128
(+.f64 (*.f64 a c) (*.f64 b d))
✓cost-diff0
(*.f64 c c)
✓cost-diff0
(fma.f64 d d (*.f64 c c))
✓cost-diff0
(*.f64 b d)
✓cost-diff0
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
✓cost-diff0
(/.f64 a c)
✓cost-diff0
(*.f64 d d)
✓cost-diff0
(fma.f64 c c (*.f64 d d))
✓cost-diff0
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
Rules
6 980×lower-*.f32
6 972×lower-*.f64
2 762×lower-/.f32
2 750×lower-/.f64
2 702×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020135
037135
156135
281133
3122133
4180133
5237133
6367133
7488131
8577131
9787131
101621131
112256131
122406131
132586131
142729131
152887131
163092131
174163131
184998131
196001131
206470131
216646131
226681131
236681131
247964131
08375129
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
#s(literal 1 binary64)
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
d
(fma.f64 a c (*.f64 b d))
a
(*.f64 b d)
b
(/.f64 a c)
a
c
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(*.f64 b d)
b
d
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(*.f64 c c)
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
b
(/.f64 d (*.f64 c c))
d
(*.f64 c c)
c
(/.f64 a c)
a
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
(/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
#s(literal 1 binary64)
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c a (*.f64 d b)))
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
c
(*.f64 d d)
d
(fma.f64 a c (*.f64 b d))
(fma.f64 c a (*.f64 d b))
a
(*.f64 b d)
(*.f64 d b)
b
(/.f64 a c)
a
c
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
(*.f64 b d)
(*.f64 d b)
b
d
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 c a (*.f64 d b))
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 b d)
(*.f64 d b)
b
d
(*.f64 c c)
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
b
(/.f64 d (*.f64 c c))
d
(*.f64 c c)
c
(/.f64 a c)
a

localize87.0ms (0.9%)

Memory
36.9MiB live, 154.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 a c)
✓accuracy100.0%
(*.f64 c c)
✓accuracy90.2%
(/.f64 d (*.f64 c c))
✓accuracy87.9%
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
✓accuracy100.0%
(*.f64 b d)
✓accuracy100.0%
(*.f64 a c)
✓accuracy99.6%
(+.f64 (*.f64 a c) (*.f64 b d))
✓accuracy76.1%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
✓accuracy100.0%
(fma.f64 d d (*.f64 c c))
✓accuracy100.0%
(*.f64 c c)
✓accuracy100.0%
(*.f64 b d)
✓accuracy74.8%
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
✓accuracy100.0%
(/.f64 a c)
✓accuracy100.0%
(*.f64 b d)
✓accuracy99.6%
(fma.f64 a c (*.f64 b d))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
✓accuracy67.4%
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))
Samples
61.0ms256×0valid
Compiler

Compiled 139 to 22 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 9.0ms (40.9% of total)
ival-mult: 8.0ms (36.4% of total)
ival-add: 4.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series70.0ms (0.7%)

Memory
-13.2MiB live, 73.6MiB allocated
Counts
15 → 492
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))>
#<alt (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))>
#<alt (fma.f64 c c (*.f64 d d))>
#<alt (*.f64 d d)>
#<alt (/.f64 a c)>
#<alt (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))>
#<alt (*.f64 b d)>
#<alt (fma.f64 d d (*.f64 c c))>
#<alt (*.f64 c c)>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))>
#<alt (*.f64 a c)>
#<alt (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))>
#<alt (/.f64 d (*.f64 c c))>
#<alt (fma.f64 a c (*.f64 b d))>
Outputs
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ d b)>
#<alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b))>
#<alt (+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))>
#<alt (+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))>
#<alt (/ c a)>
#<alt (* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))>
#<alt (* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))>
#<alt (* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))>
#<alt (/ c a)>
#<alt (* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))>
#<alt (/ c a)>
#<alt (+ (* -1 (/ (* b d) (pow a 2))) (/ c a))>
#<alt (+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))>
#<alt (+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))>
#<alt (/ d b)>
#<alt (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))>
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#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
Calls

123 calls:

TimeVariablePointExpression
36.0ms
c
@-inf
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
4.0ms
c
@inf
(/ (+ (* a c) (* b d)) (* c c))
4.0ms
c
@0
(/ (* b d) (+ (* d d) (* c c)))
1.0ms
b
@inf
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
1.0ms
a
@inf
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

rewrite296.0ms (3%)

Memory
-18.0MiB live, 695.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 946×lower-fma.f32
4 938×lower-fma.f64
4 638×lower-/.f32
4 626×lower-/.f64
4 060×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020102
037102
1147100
21144100
08565100
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 801
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
(/.f64 a c)
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(*.f64 b d)
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(+.f64 (*.f64 a c) (*.f64 b d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(*.f64 a c)
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(/.f64 d (*.f64 c c))
(fma.f64 a c (*.f64 b d))
Outputs
(+.f64 (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(+.f64 (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(+.f64 (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d)))))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)) (/.f64 (*.f64 d b) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) (/.f64 (fma.f64 d b (*.f64 c a)) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (fma.f64 c c (*.f64 d d))) (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (fma.f64 c c (*.f64 d d))))
(-.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b)))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 d (/.f64 b (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 d (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 d b) (neg.f64 (fma.f64 c c (*.f64 d d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 d b) (neg.f64 (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d b)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d b)))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (neg.f64 (*.f64 d b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (neg.f64 (*.f64 d b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 d b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 d b) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 d b)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 d b)) #s(literal -1 binary64)) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d)) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 d (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 d (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 d (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 d (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
(fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 b (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c a)))
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(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 d b) (*.f64 c c)) (*.f64 d b)) (*.f64 a a)) (*.f64 c c)))) (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c))))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 d b) (*.f64 c c)) (*.f64 d b))) (*.f64 c c))) (neg.f64 (/.f64 (-.f64 a (*.f64 (/.f64 d c) b)) c)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c)) (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c)) (fma.f64 (/.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c)) (/.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c)) (*.f64 (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c)) (/.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c)) (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c))) (*.f64 (/.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c)) (/.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c)))) (+.f64 (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c)) (/.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a c) (/.f64 (-.f64 a (*.f64 (/.f64 d c) b)) c) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c c) (*.f64 c c))))))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 d b) (*.f64 c c)) (*.f64 d b)) (*.f64 (*.f64 d b) (/.f64 a c))) (*.f64 c c)))))
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 d b) (*.f64 c c)) (*.f64 d b)) (*.f64 a a)) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c)))
(*.f64 (fma.f64 c c (*.f64 (/.f64 c a) (*.f64 d b))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 c a) (*.f64 c c))))
(*.f64 (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 d b))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))))
(*.f64 (fma.f64 (neg.f64 a) (*.f64 c c) (*.f64 (neg.f64 c) (*.f64 d b))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))))
(*.f64 (fma.f64 (*.f64 d b) (/.f64 c a) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (/.f64 c a))))
(*.f64 (fma.f64 (*.f64 d b) c (*.f64 (*.f64 c c) a)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))))
(*.f64 (fma.f64 (*.f64 d b) (neg.f64 c) (*.f64 (*.f64 c c) (neg.f64 a))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 a c) (/.f64 (-.f64 a (*.f64 (/.f64 d c) b)) c) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c c) (*.f64 c c)))))))
(*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 d b) (*.f64 c c)) (*.f64 d b)) (*.f64 a a)) (*.f64 c c))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 d c) b) a) c))))
(*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 d b) (*.f64 c c)) (*.f64 d b))) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (*.f64 (/.f64 d c) b)) c)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c c) d)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 d (*.f64 c (neg.f64 c))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 c (neg.f64 c))) (/.f64 d (*.f64 c (neg.f64 c))))
(neg.f64 (/.f64 d (*.f64 c (neg.f64 c))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) d))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 c c) d))))
(/.f64 d (*.f64 c c))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 c c) d)))
(/.f64 (neg.f64 d) (*.f64 c (neg.f64 c)))
(/.f64 (/.f64 d c) c)
(/.f64 (neg.f64 (/.f64 d c)) (neg.f64 c))
(/.f64 (neg.f64 (neg.f64 (/.f64 d c))) c)
(pow.f64 (/.f64 (*.f64 c c) d) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c)))
(*.f64 #s(literal -1 binary64) (/.f64 d (*.f64 c (neg.f64 c))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 c c) d))))
(*.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) (*.f64 c c)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) d)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 d c))
(*.f64 (/.f64 d c) (/.f64 #s(literal 1 binary64) c))
(*.f64 (neg.f64 (/.f64 d c)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 d (neg.f64 c)))
(*.f64 (pow.f64 (/.f64 (*.f64 c c) d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 c c) d) #s(literal -1/2 binary64)))
(+.f64 (*.f64 d b) (*.f64 c a))
(+.f64 (*.f64 c a) (*.f64 d b))
(+.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (neg.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d b (*.f64 c a))))
(-.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 d b) (*.f64 c a))) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 d b) (*.f64 c a))))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 a c (*.f64 d b))
(fma.f64 b d (*.f64 c a))
(fma.f64 (*.f64 d b) #s(literal 1 binary64) (*.f64 c a))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 d b)) (*.f64 c a))
(fma.f64 (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c a) (*.f64 d b))) (neg.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b)))))
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (*.f64 b (*.f64 d b)) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c (*.f64 a (*.f64 d b))))) (fma.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c (*.f64 a (*.f64 c a))))))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a)))))
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) (fma.f64 c (*.f64 a (*.f64 c a)) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))))
(/.f64 (fma.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) (fma.f64 d (*.f64 b (*.f64 d b)) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c (*.f64 a (*.f64 d b))))))
(/.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 c a) (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b)))
(/.f64 (neg.f64 (fma.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (neg.f64 (fma.f64 c (*.f64 a (*.f64 c a)) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (neg.f64 (fma.f64 d (*.f64 b (*.f64 d b)) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c (*.f64 a (*.f64 d b)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 c a) (*.f64 d b)))) (neg.f64 (-.f64 (*.f64 c a) (*.f64 d b))))
(/.f64 (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c (*.f64 a (*.f64 c a)))) (-.f64 (*.f64 d b) (*.f64 c a)))
(/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (*.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (*.f64 d (*.f64 b (*.f64 d b))))) (*.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 c a) (*.f64 d b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))))) (neg.f64 (neg.f64 (fma.f64 c (*.f64 a (*.f64 c a)) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 c a) (*.f64 d b))))) (neg.f64 (neg.f64 (-.f64 (*.f64 c a) (*.f64 d b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c (*.f64 a (*.f64 c a))))) (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (fma.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b)))) (*.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))))) (+.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b)))))
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a)))
(*.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (*.f64 c a))))
(*.f64 (fma.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a (*.f64 c a)) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))))
(*.f64 (fma.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 b (*.f64 d b)) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c (*.f64 a (*.f64 d b)))))))
(*.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c a) (*.f64 d b))))
(*.f64 (neg.f64 (fma.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c (*.f64 a (*.f64 c a)) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 c a) (*.f64 d b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 c a) (*.f64 d b)))))
(*.f64 (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c (*.f64 a (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 d b) (*.f64 c a))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a (*.f64 c a)) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 c a) (*.f64 d b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c a) (*.f64 d b))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) #s(literal -1/2 binary64)))

simplify420.0ms (4.2%)

Memory
36.6MiB live, 780.0MiB allocated
Algorithm
1×egg-herbie
Rules
6 924×lower-*.f64
6 924×lower-*.f32
6 106×lower-fma.f64
6 106×lower-fma.f32
3 428×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06135915
120805781
277995741
082085394
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
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(+ (/ a c) (/ (* b d) (pow c 2)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 c (/.f64 a (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 d (*.f64 d a)) c)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 (-.f64 a (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) (*.f64 c (*.f64 c c)))) (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 d (*.f64 d a)) c)) c)) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 d (*.f64 d a)) c)) (neg.f64 c)) a) (neg.f64 c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (-.f64 (neg.f64 a) (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 d (*.f64 d a))) c)) c)) (neg.f64 c))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 (neg.f64 a) (/.f64 d (*.f64 c (*.f64 c c))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (+.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) b) (/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 a c (/.f64 (fma.f64 a (/.f64 (*.f64 c (*.f64 c c)) d) (*.f64 b (*.f64 c c))) (neg.f64 d))) d)) (neg.f64 d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 b (/.f64 d (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 b (/.f64 d (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 b (/.f64 d (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))))
(/ d b)
(/.f64 d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(-.f64 (/.f64 d b) (*.f64 a (/.f64 c (*.f64 b b))))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(fma.f64 c (-.f64 (*.f64 c (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b d)))) (/.f64 #s(literal 1 binary64) (*.f64 b d)))) (/.f64 a (*.f64 b b))) (/.f64 d b))
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(fma.f64 c (fma.f64 c (fma.f64 (neg.f64 a) (/.f64 (*.f64 c (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b d)))) (/.f64 #s(literal 1 binary64) (*.f64 b d)))) (*.f64 b d)) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b d)))) (/.f64 #s(literal 1 binary64) (*.f64 b d)))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b))
(/ c a)
(/.f64 c a)
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b d) (*.f64 a (*.f64 a c)))))
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 a (*.f64 a a)))) (*.f64 c c)) (/.f64 (*.f64 b d) (*.f64 a (*.f64 a c))))))
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(*.f64 c (+.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 d (fma.f64 d (/.f64 d a) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 a (*.f64 a a))))) (*.f64 a (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (/.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 a (*.f64 a a)))) (*.f64 c c)) (/.f64 (*.f64 b d) (*.f64 a (*.f64 a c))))))
(/ c a)
(/.f64 c a)
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))
(*.f64 (fma.f64 b (/.f64 d (*.f64 a (*.f64 a c))) (/.f64 #s(literal -1 binary64) a)) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(*.f64 c (neg.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 a (*.f64 a a)))))) (*.f64 c c)) (/.f64 (*.f64 b d) (*.f64 a (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(*.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 d (/.f64 (neg.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 a (*.f64 a a))))) (*.f64 a c))) (neg.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 a (*.f64 a a))))))) (*.f64 c c)) (/.f64 (*.f64 b d) (*.f64 a (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 c))
(/ c a)
(/.f64 c a)
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(-.f64 (/.f64 c a) (*.f64 b (/.f64 d (*.f64 a a))))
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(fma.f64 d (fma.f64 d (fma.f64 b (/.f64 b (*.f64 a (*.f64 a (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (*.f64 a c))) (neg.f64 (/.f64 b (*.f64 a a)))) (/.f64 c a))
(+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(fma.f64 d (fma.f64 d (fma.f64 (neg.f64 b) (*.f64 (fma.f64 b (/.f64 b (*.f64 a (*.f64 a (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 d (*.f64 a c))) (fma.f64 b (/.f64 b (*.f64 a (*.f64 a (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (neg.f64 (/.f64 b (*.f64 a a)))) (/.f64 c a))
(/ d b)
(/.f64 d b)
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(*.f64 d (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b d)))))
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(*.f64 d (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c c) b)) (*.f64 d d))) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b d)))))
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(*.f64 d (fma.f64 (neg.f64 a) (/.f64 (*.f64 c (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c c) b))) (*.f64 b (*.f64 d (*.f64 d d)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c c) b)) (*.f64 d d))) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b d))))))
(/ d b)
(/.f64 d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(neg.f64 (*.f64 d (fma.f64 a (/.f64 c (*.f64 b (*.f64 b d))) (/.f64 #s(literal -1 binary64) b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(*.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c c) b)))) (*.f64 d d)) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b d)))) (/.f64 #s(literal 1 binary64) b))) (neg.f64 d))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(neg.f64 (*.f64 d (+.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 a) (*.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c c) b))) (/.f64 c (*.f64 b d))) (neg.f64 (fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c c) b))))) (*.f64 d d)) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b d))))) (/.f64 #s(literal -1 binary64) b))))
(/ (+ (pow c 2) (pow d 2)) (* b d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b d))
(+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d))))
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(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) c))
(/ (* b d) (pow c 2))
(/.f64 (*.f64 b d) (*.f64 c c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(/ a c)
(/.f64 a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) c)))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) c)))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) c)))
(/ a c)
(/.f64 a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 d (*.f64 a (*.f64 c c))) (/.f64 #s(literal -1 binary64) c)))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 d (*.f64 a (*.f64 c c))) (/.f64 #s(literal -1 binary64) c)))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 d (*.f64 a (*.f64 c c))) (/.f64 #s(literal -1 binary64) c)))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(neg.f64 (*.f64 a (neg.f64 (fma.f64 b (/.f64 d a) c))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(neg.f64 (*.f64 a (neg.f64 (fma.f64 b (/.f64 d a) c))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(neg.f64 (*.f64 a (neg.f64 (fma.f64 b (/.f64 d a) c))))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(neg.f64 (*.f64 c (neg.f64 (fma.f64 b (/.f64 d c) a))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(neg.f64 (*.f64 c (neg.f64 (fma.f64 b (/.f64 d c) a))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(neg.f64 (*.f64 c (neg.f64 (fma.f64 b (/.f64 d c) a))))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b d)
(*.f64 b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c b) d)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c b) d)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c b) d)))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* b d)
(*.f64 b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(neg.f64 (*.f64 d (neg.f64 (fma.f64 a (/.f64 c d) b))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(neg.f64 (*.f64 d (neg.f64 (fma.f64 a (/.f64 c d) b))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(neg.f64 (*.f64 d (neg.f64 (fma.f64 a (/.f64 c d) b))))

eval202.0ms (2%)

Memory
19.8MiB live, 396.9MiB allocated
Compiler

Compiled 34 213 to 2 562 computations (92.5% saved)

prune457.0ms (4.6%)

Memory
-159.2MiB live, 344.2MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1 438141 452
Fresh279
Picked415
Done000
Total1 444221 466
Accuracy
99.8%
Counts
1 466 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.4%
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
51.1%
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
35.8%
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
▶53.1%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
▶56.5%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
40.6%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
52.5%
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)
30.1%
(/.f64 (*.f64 b d) (*.f64 d d))
19.8%
(/.f64 (*.f64 b d) (*.f64 c c))
43.7%
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
28.3%
(/.f64 (*.f64 a c) (*.f64 c c))
45.7%
(/.f64 b (/.f64 (fma.f64 c c (*.f64 d d)) d))
▶41.6%
(/.f64 b d)
✓42.6%
(/.f64 a c)
43.3%
(/.f64 #s(literal 1 binary64) (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 a) (/.f64 (*.f64 c (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b d)))) (/.f64 #s(literal 1 binary64) (*.f64 b d)))) (*.f64 b d)) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b d)))) (/.f64 #s(literal 1 binary64) (*.f64 b d)))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b)))
43.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c)))
56.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d (fma.f64 a (/.f64 c d) b))))
41.6%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
▶42.2%
(/.f64 #s(literal 1 binary64) (/.f64 c a))
40.5%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 d b) (*.f64 a (/.f64 c (*.f64 b b)))))
45.6%
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
42.5%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
Compiler

Compiled 657 to 375 computations (42.9% saved)

simplify22.0ms (0.2%)

Memory
22.0MiB live, 22.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 a c)
✓cost-diff0
(/.f64 b c)
✓cost-diff0
(/.f64 d c)
✓cost-diff704
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
✓cost-diff0
(/.f64 d c)
✓cost-diff0
(fma.f64 b (/.f64 d c) a)
✓cost-diff0
(/.f64 (fma.f64 b (/.f64 d c) a) c)
✓cost-diff0
(/.f64 c a)
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓cost-diff0
(/.f64 b d)
✓cost-diff0
(/.f64 c d)
✓cost-diff0
(fma.f64 a (/.f64 c d) b)
✓cost-diff0
(/.f64 (fma.f64 a (/.f64 c d) b) d)
Rules
296×lower-*.f64
296×lower-*.f32
160×lower-/.f32
142×lower-/.f64
128×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01781
03281
15081
26577
37477
410077
510877
617677
722977
825877
929477
1030477
1131077
1234077
1338977
1440277
040277
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
d
b
(/.f64 b d)
b
d
(/.f64 #s(literal 1 binary64) (/.f64 c a))
#s(literal 1 binary64)
(/.f64 c a)
c
a
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d c) a)
b
(/.f64 d c)
d
c
a
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(/.f64 d c)
d
c
(/.f64 b c)
b
(/.f64 a c)
a
Outputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
d
b
(/.f64 b d)
b
d
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 a c)
#s(literal 1 binary64)
(/.f64 c a)
c
a
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
b
(/.f64 d c)
d
c
a
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/.f64 d c)
d
c
(/.f64 b c)
b
(/.f64 a c)
a

localize64.0ms (0.6%)

Memory
-9.8MiB live, 102.3MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 d c)
✓accuracy100.0%
(/.f64 b c)
✓accuracy100.0%
(/.f64 a c)
✓accuracy94.1%
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
✓accuracy100.0%
(/.f64 d c)
✓accuracy99.2%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
✓accuracy96.9%
(fma.f64 b (/.f64 d c) a)
✓accuracy100.0%
(/.f64 c a)
✓accuracy98.7%
(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓accuracy100.0%
(/.f64 b d)
✓accuracy100.0%
(/.f64 c d)
✓accuracy98.8%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
✓accuracy94.4%
(fma.f64 a (/.f64 c d) b)
Samples
43.0ms256×0valid
Compiler

Compiled 83 to 22 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 18.0ms (68% of total)
ival-mult: 5.0ms (18.9% of total)
ival-add: 3.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
8.3MiB live, 50.1MiB allocated
Counts
12 → 408
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 a (/.f64 c d) b) d)>
#<alt (fma.f64 a (/.f64 c d) b)>
#<alt (/.f64 c d)>
#<alt (/.f64 b d)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 c a))>
#<alt (/.f64 c a)>
#<alt (/.f64 (fma.f64 b (/.f64 d c) a) c)>
#<alt (fma.f64 b (/.f64 d c) a)>
#<alt (/.f64 d c)>
#<alt (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))>
#<alt (/.f64 b c)>
#<alt (/.f64 a c)>
Outputs
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (/ (* a c) (pow d 2))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ b d)>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (/ b d)>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a 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 c) d)>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (/ (* a c) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt b>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b 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 (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (/ (* b d) (pow c 2))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ a c)>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (/ a c)>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (/ (* b d) c)>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (/ (* b d) c)>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (/ (* b d) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ a c)>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (/ a c)>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b 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)>
Calls

102 calls:

TimeVariablePointExpression
6.0ms
d
@-inf
(/ (+ (* b (/ d c)) a) c)
4.0ms
c
@inf
(/ (+ (* b (/ d c)) a) c)
1.0ms
c
@-inf
(/ (+ (* b (/ d c)) a) c)
1.0ms
d
@-inf
(/ (+ (* a (/ c d)) b) d)
1.0ms
d
@inf
(/ (+ (* a (/ c d)) b) d)

rewrite355.0ms (3.6%)

Memory
29.8MiB live, 580.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 524×lower-fma.f32
9 518×lower-fma.f64
5 186×lower-*.f64
5 186×lower-*.f32
3 544×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01761
03257
113357
2126957
0906257
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 811
Calls
Call 1
Inputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
(/.f64 c d)
(/.f64 b d)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 c a)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d c) a)
(/.f64 d c)
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(/.f64 b c)
(/.f64 a c)
Outputs
(+.f64 (/.f64 b d) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 (*.f64 a c) d) (/.f64 #s(literal 1 binary64) d)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 (*.f64 a c) d) (/.f64 #s(literal 1 binary64) d)) (/.f64 b d))
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d)) (fma.f64 a (/.f64 c d) (neg.f64 b))) d) (/.f64 (/.f64 (*.f64 b b) (fma.f64 a (/.f64 c d) (neg.f64 b))) d))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d)) (*.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b)))) (/.f64 (*.f64 b b) (*.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b)))))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d)))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 (*.f64 a c) d) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d)))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (*.f64 (/.f64 (*.f64 a c) d) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (/.f64 (*.f64 a c) d) (/.f64 #s(literal 1 binary64) d) (/.f64 b d))
(fma.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 d)) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d)))
(fma.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 d)) (*.f64 (/.f64 (*.f64 a c) d) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 (*.f64 a c) d) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (*.f64 (/.f64 (*.f64 a c) d) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d) (/.f64 b d))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 a c) d) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d)))
(fma.f64 (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 a c) d) (/.f64 #s(literal 1 binary64) d)))
(neg.f64 (neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d)))) (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b))) (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d))) d) (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) d) (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d))) (/.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) d)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d)) (*.f64 b b)) d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))))
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(/.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (*.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d))) d))
(/.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (*.f64 d (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d)))))
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d)) (*.f64 b b)) (*.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) d))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d)) (*.f64 b b)) (*.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))) (neg.f64 (*.f64 d (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d))))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d d))) d)))
(/.f64 (*.f64 (fma.f64 a (/.f64 c d) b) (fma.f64 a (/.f64 c (neg.f64 d)) b)) (neg.f64 (*.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b)))))
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(exp.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 c)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 b (neg.f64 c)))
(neg.f64 (/.f64 b (neg.f64 c)))
(neg.f64 (*.f64 (/.f64 b (neg.f64 c)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 c b)))
(/.f64 b c)
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (/.f64 c (neg.f64 b)))
(/.f64 (neg.f64 b) (neg.f64 c))
(pow.f64 (/.f64 c b) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
(*.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 (/.f64 b c) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 c)))
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 c b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (/.f64 a c)))
(-.f64 #s(literal 0 binary64) (/.f64 a (neg.f64 c)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 a (neg.f64 c)))
(neg.f64 (/.f64 a (neg.f64 c)))
(neg.f64 (/.f64 (/.f64 a (neg.f64 c)) #s(literal 1 binary64)))
(/.f64 a c)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 (/.f64 a c) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 c (neg.f64 a)))
(/.f64 (neg.f64 a) (neg.f64 c))
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) a))
(/.f64 (/.f64 a (neg.f64 c)) #s(literal -1 binary64))
(pow.f64 (/.f64 c a) #s(literal -1 binary64))
(pow.f64 (/.f64 a c) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 c a) (/.f64 c a)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 c a) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(*.f64 #s(literal 1 binary64) (/.f64 a c))
(*.f64 (/.f64 a c) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 a (neg.f64 c)))
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) c) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 c a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c a) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) a)
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c a) #s(literal -1/2 binary64))) (pow.f64 (/.f64 c a) #s(literal -1/2 binary64)))

simplify305.0ms (3.1%)

Memory
-1.3MiB live, 471.6MiB allocated
Algorithm
1×egg-herbie
Rules
5 468×lower-fma.f64
5 468×lower-fma.f32
4 646×lower-*.f64
4 646×lower-*.f32
2 438×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01402460
14742460
215722460
348642262
082802082
Stop Event
1×iter limit
1×node limit
Counts
408 → 396
Calls
Call 1
Inputs
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/ (* a c) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/ (* a c) (pow d 2))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/ b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b 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)
(/ 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)
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(/ (* b d) c)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(/ (* b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* b d) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b 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)
Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ b d)
(/.f64 b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ b d)
(/.f64 b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
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(/.f64 a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b 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)
(/.f64 a c)

eval426.0ms (4.3%)

Memory
12.4MiB live, 354.6MiB allocated
Compiler

Compiled 20 373 to 1 382 computations (93.2% saved)

prune176.0ms (1.8%)

Memory
-28.2MiB live, 233.2MiB allocated
Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New1 249111 260
Fresh9716
Picked055
Done011
Total1 258241 282
Accuracy
99.9%
Counts
1 282 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(fma.f64 (/.f64 (/.f64 b c) (/.f64 #s(literal 1 binary64) d)) (/.f64 #s(literal 1 binary64) c) (/.f64 a c))
✓51.4%
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
35.8%
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
✓53.1%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
▶40.6%
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
✓56.5%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
20.4%
(/.f64 (/.f64 (*.f64 b d) c) c)
25.2%
(/.f64 (/.f64 (*.f64 a c) d) d)
56.3%
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))
19.8%
(/.f64 (*.f64 b d) (*.f64 c c))
▶45.7%
(/.f64 b (/.f64 (fma.f64 c c (*.f64 d d)) d))
✓41.6%
(/.f64 b d)
✓42.6%
(/.f64 a c)
43.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c)))
▶56.4%
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
▶41.6%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
✓42.2%
(/.f64 #s(literal 1 binary64) (/.f64 c a))
51.9%
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c))
56.3%
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
45.6%
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
41.5%
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
▶42.5%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
23.9%
(*.f64 a (/.f64 c (*.f64 d d)))
19.8%
(exp.f64 (*.f64 (log.f64 (/.f64 d b)) #s(literal -1 binary64)))
Compiler

Compiled 521 to 335 computations (35.7% saved)

simplify459.0ms (4.6%)

Memory
5.0MiB live, 315.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 d d)
✓cost-diff0
(fma.f64 c c (*.f64 d d))
✓cost-diff64
(/.f64 b (/.f64 (fma.f64 c c (*.f64 d d)) d))
✓cost-diff320
(/.f64 (fma.f64 c c (*.f64 d d)) d)
✓cost-diff0
(*.f64 d d)
✓cost-diff0
(*.f64 a c)
✓cost-diff0
(fma.f64 b d (*.f64 a c))
✓cost-diff0
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
✓cost-diff0
(/.f64 d b)
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 d b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) c)
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓cost-diff0
(/.f64 c d)
✓cost-diff0
(fma.f64 a (/.f64 c d) b)
✓cost-diff64
(/.f64 d (fma.f64 a (/.f64 c d) b))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
Rules
6 530×lower-fma.f32
6 524×lower-fma.f64
4 554×lower-*.f32
4 548×lower-*.f64
1 954×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020110
038110
157108
279102
3132102
4208102
5253102
6359102
7419102
8434102
9516100
10623100
111348100
121653100
131951100
142441100
153159100
164117100
176502100
187497100
0804098
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
#s(literal 1 binary64)
(/.f64 d (fma.f64 a (/.f64 c d) b))
d
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
b
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
c
a
(/.f64 #s(literal 1 binary64) (/.f64 d b))
#s(literal 1 binary64)
(/.f64 d b)
d
b
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(fma.f64 b d (*.f64 a c))
b
d
(*.f64 a c)
a
c
(*.f64 d d)
(/.f64 b (/.f64 (fma.f64 c c (*.f64 d d)) d))
b
(/.f64 (fma.f64 c c (*.f64 d d)) d)
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
d
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
(/.f64 (fma.f64 d b (*.f64 a c)) (*.f64 d d))
#s(literal 1 binary64)
(/.f64 d (fma.f64 a (/.f64 c d) b))
(/.f64 (*.f64 d d) (fma.f64 d b (*.f64 a c)))
d
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
b
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 a c)
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
c
a
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(/.f64 b d)
#s(literal 1 binary64)
(/.f64 d b)
d
b
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/.f64 (fma.f64 d b (*.f64 a c)) (*.f64 d d))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
b
d
(*.f64 a c)
a
c
(*.f64 d d)
(/.f64 b (/.f64 (fma.f64 c c (*.f64 d d)) d))
(/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))
b
(/.f64 (fma.f64 c c (*.f64 d d)) d)
(fma.f64 c (/.f64 c d) d)
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
d

localize164.0ms (1.6%)

Memory
-39.2MiB live, 118.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 c c (*.f64 d d))
✓accuracy100.0%
(*.f64 d d)
✓accuracy95.2%
(/.f64 b (/.f64 (fma.f64 c c (*.f64 d d)) d))
✓accuracy74.0%
(/.f64 (fma.f64 c c (*.f64 d d)) d)
✓accuracy100.0%
(*.f64 d d)
✓accuracy100.0%
(*.f64 a c)
✓accuracy100.0%
(fma.f64 b d (*.f64 a c))
✓accuracy78.0%
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
✓accuracy100.0%
(/.f64 d b)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) c)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓accuracy100.0%
(/.f64 c d)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
✓accuracy98.6%
(/.f64 d (fma.f64 a (/.f64 c d) b))
✓accuracy94.4%
(fma.f64 a (/.f64 c d) b)
Samples
94.0ms256×0valid
Compiler

Compiled 112 to 25 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 15.0ms (53.7% of total)
ival-mult: 9.0ms (32.2% of total)
ival-add: 3.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
23.0MiB live, 23.0MiB allocated
Counts
15 → 468
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))>
#<alt (/.f64 d (fma.f64 a (/.f64 c d) b))>
#<alt (fma.f64 a (/.f64 c d) b)>
#<alt (/.f64 c d)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) c) a)>
#<alt (/.f64 #s(literal 1 binary64) c)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 d b))>
#<alt (/.f64 d b)>
#<alt (/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))>
#<alt (fma.f64 b d (*.f64 a c))>
#<alt (*.f64 a c)>
#<alt (*.f64 d d)>
#<alt (/.f64 (fma.f64 c c (*.f64 d d)) d)>
#<alt (/.f64 b (/.f64 (fma.f64 c c (*.f64 d d)) d))>
#<alt (fma.f64 c c (*.f64 d d))>
Outputs
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ b d)>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (/ b d)>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (/ (pow d 2) (* a c))>
#<alt (* (pow d 2) (+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))>
#<alt (* (pow d 2) (+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))>
#<alt (* (pow d 2) (+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))>
#<alt (/ d b)>
#<alt (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))>
#<alt (* d (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))>
#<alt (* d (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))>
#<alt (/ d b)>
#<alt (* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))>
#<alt (* -1 (* d (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))>
#<alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))>
#<alt (/ d b)>
#<alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b))>
#<alt (+ (* a (- (/ (* a (pow c 2)) (* (pow b 3) d)) (/ c (pow b 2)))) (/ d b))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (* (pow b 4) (pow d 2)))) (* -1 (/ (pow c 2) (* (pow b 3) d))))) (/ c (pow b 2)))) (/ d b))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 2)))) (/ (pow d 2) c)) a)>
#<alt (/ (- (+ (/ (* (pow b 2) (pow d 4)) (* (pow a 2) (pow c 3))) (/ (pow d 2) c)) (/ (* b (pow d 3)) (* a (pow c 2)))) a)>
#<alt (/ (- (+ (* -1 (/ (* (pow b 3) (pow d 5)) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c)) (+ (* -1 (/ (* (pow b 2) (pow d 4)) (* (pow a 2) (pow c 3)))) (/ (* b (pow d 3)) (* a (pow c 2))))) a)>
#<alt (/ (pow d 2) (* a c))>
#<alt (* -1 (/ (+ (* -1 (/ (pow d 2) c)) (/ (* b (pow d 3)) (* a (pow c 2)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow b 2) (pow d 4)) (* a (pow c 3))) (/ (* b (pow d 3)) (pow c 2))) a)) (* -1 (/ (pow d 2) c))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 5)) (* a (pow c 4))) (/ (* (pow b 2) (pow d 4)) (pow c 3))) a)) (/ (* b (pow d 3)) (pow c 2))) a)) (* -1 (/ (pow d 2) c))) a))>
#<alt (/ d b)>
#<alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b))>
#<alt (+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) d)) (/ a (pow b 2)))) (/ d b))>
#<alt (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 2)))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (* (pow a 2) c))) (/ (pow d 2) a)) c)>
#<alt (/ (- (+ (/ (* (pow b 2) (pow d 4)) (* (pow a 3) (pow c 2))) (/ (pow d 2) a)) (/ (* b (pow d 3)) (* (pow a 2) c))) c)>
#<alt (/ (- (+ (* -1 (/ (* (pow b 3) (pow d 5)) (* (pow a 4) (pow c 3)))) (/ (pow d 2) a)) (+ (* -1 (/ (* (pow b 2) (pow d 4)) (* (pow a 3) (pow c 2)))) (/ (* b (pow d 3)) (* (pow a 2) c)))) c)>
#<alt (/ (pow d 2) (* a c))>
#<alt (* -1 (/ (+ (* -1 (/ (pow d 2) a)) (/ (* b (pow d 3)) (* (pow a 2) c))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow b 2) (pow d 4)) (* (pow a 3) c)) (/ (* b (pow d 3)) (pow a 2))) c)) (* -1 (/ (pow d 2) a))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 5)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 4)) (pow a 3))) c)) (/ (* b (pow d 3)) (pow a 2))) c)) (* -1 (/ (pow d 2) a))) c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (+ (* -1 (/ (* b (pow d 3)) (* (pow a 2) (pow c 2)))) (/ (pow d 2) (* a c)))>
#<alt (+ (* b (- (/ (* b (pow d 4)) (* (pow a 3) (pow c 3))) (/ (pow d 3) (* (pow a 2) (pow c 2))))) (/ (pow d 2) (* a c)))>
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (pow d 5)) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow d 4) (* (pow a 3) (pow c 3)))))) (/ (pow d 3) (* (pow a 2) (pow c 2))))) (/ (pow d 2) (* a c)))>
#<alt (/ d b)>
#<alt (/ (+ d (* -1 (/ (* a c) b))) b)>
#<alt (/ (- (+ d (/ (* (pow a 2) (pow c 2)) (* (pow b 2) d))) (/ (* a c) b)) b)>
#<alt (/ (- (+ d (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) d))) (/ (* a c) b))) b)>
#<alt (/ d b)>
#<alt (* -1 (/ (+ (* -1 d) (/ (* a c) b)) b))>
#<alt (* -1 (/ (+ (* -1 d) (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* b d)) (* a c)) b))) b))>
#<alt (* -1 (/ (+ (* -1 d) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 2))) (/ (* (pow a 2) (pow c 2)) d)) b)) (* a c)) b))) b))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a 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 c) d)>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (/ (* a c) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt b>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ 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 (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ (* a c) (pow d 2))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ b d)>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (/ b d)>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) 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)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt d>
#<alt (+ d (/ (pow c 2) d))>
#<alt (+ d (/ (pow c 2) d))>
#<alt (+ d (/ (pow c 2) d))>
#<alt (/ (pow c 2) d)>
#<alt (* (pow c 2) (+ (/ 1 d) (/ d (pow c 2))))>
#<alt (* (pow c 2) (+ (/ 1 d) (/ d (pow c 2))))>
#<alt (* (pow c 2) (+ (/ 1 d) (/ d (pow c 2))))>
#<alt (/ (pow c 2) d)>
#<alt (* (pow c 2) (+ (/ 1 d) (/ d (pow c 2))))>
#<alt (* (pow c 2) (+ (/ 1 d) (/ d (pow c 2))))>
#<alt (* (pow c 2) (+ (/ 1 d) (/ d (pow c 2))))>
#<alt (/ (pow c 2) d)>
#<alt (/ (+ (pow c 2) (pow d 2)) d)>
#<alt (/ (+ (pow c 2) (pow d 2)) d)>
#<alt (/ (+ (pow c 2) (pow d 2)) d)>
#<alt d>
#<alt (* d (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* d (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* d (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (pow c 2) (pow d 2))) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (pow c 2) (pow d 2))) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (pow c 2) (pow d 2))) 1)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ b d)>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))>
#<alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))>
#<alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))>
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))>
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))>
#<alt (/ b d)>
#<alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)>
#<alt (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))>
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))>
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
Calls

117 calls:

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

rewrite384.0ms (3.8%)

Memory
-3.4MiB live, 580.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 554×lower-fma.f32
7 548×lower-fma.f64
5 970×lower-*.f32
5 964×lower-*.f64
3 556×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02089
03889
115283
2100483
0877783
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 841
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
(/.f64 d (fma.f64 a (/.f64 c d) b))
(fma.f64 a (/.f64 c d) b)
(/.f64 c d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 #s(literal 1 binary64) c)
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(/.f64 d b)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(fma.f64 b d (*.f64 a c))
(*.f64 a c)
(*.f64 d d)
(/.f64 (fma.f64 c c (*.f64 d d)) d)
(/.f64 b (/.f64 (fma.f64 c c (*.f64 d d)) d))
(fma.f64 c c (*.f64 d d))
Outputs
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 a c) (neg.f64 d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 (*.f64 a c) (*.f64 d d)) #s(literal 1 binary64)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 (*.f64 a c) (neg.f64 d)) (/.f64 #s(literal -1 binary64) d)))
(+.f64 (/.f64 (*.f64 a c) (*.f64 d d)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 a c) (neg.f64 d))) (/.f64 b d))
(+.f64 (*.f64 (/.f64 (*.f64 a c) (*.f64 d d)) #s(literal 1 binary64)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 (*.f64 a c) (neg.f64 d)) (/.f64 #s(literal -1 binary64) d)) (/.f64 b d))
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 d)))
(-.f64 (/.f64 (*.f64 a c) (*.f64 d d)) (/.f64 b (neg.f64 d)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 d)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 d d))) (fma.f64 a (/.f64 c d) (neg.f64 b))) d) (/.f64 (/.f64 (*.f64 b b) (fma.f64 a (/.f64 c d) (neg.f64 b))) d))
(-.f64 (/.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b)))) (/.f64 (*.f64 b b) (*.f64 d (fma.f64 a (/.f64 c d) (neg.f64 b)))))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d)))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 a c) (neg.f64 d))))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (*.f64 (/.f64 (*.f64 a c) (*.f64 d d)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (*.f64 (/.f64 (*.f64 a c) (neg.f64 d)) (/.f64 #s(literal -1 binary64) d)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.f64 d d)) (/.f64 b d))
(fma.f64 a (*.f64 (/.f64 c d) (/.f64 #s(literal 1 binary64) d)) (/.f64 b d))
(fma.f64 c (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) a) (/.f64 #s(literal 1 binary64) d)) (/.f64 b d))
(fma.f64 c (*.f64 (/.f64 a d) (/.f64 #s(literal 1 binary64) d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (*.f64 (/.f64 #s(literal 1 binary64) d) a) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) (*.f64 d d)))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 a c) (neg.f64 d))))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 (*.f64 a c) (*.f64 d d)) #s(literal 1 binary64)))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 (*.f64 a c) (neg.f64 d)) (/.f64 #s(literal -1 binary64) d)))
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)) (/.f64 (*.f64 a c) (*.f64 d d)))
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 a c) (neg.f64 d))))
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 a c) (*.f64 d d)) #s(literal 1 binary64)))
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 a c) (neg.f64 d)) (/.f64 #s(literal -1 binary64) d)))
(fma.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 (*.f64 a c) d) (/.f64 #s(literal 1 binary64) d) (/.f64 b d))
(fma.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 d)) (/.f64 (*.f64 a c) (*.f64 d d)))
(fma.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 d)) (*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 a c) (neg.f64 d))))
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(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (neg.f64 (*.f64 c (neg.f64 c))))
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (*.f64 c (*.f64 c c)) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c c) (+.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))))
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (+.f64 c d) (-.f64 c d)))
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (fma.f64 c (neg.f64 c) (*.f64 d d))))
(/.f64 (neg.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (neg.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c))))))
(/.f64 (neg.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (neg.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))))
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c (neg.f64 c) (*.f64 d d))) (fma.f64 c (neg.f64 c) (*.f64 d d)))
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (+.f64 d c) (-.f64 d c)))
(/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (-.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c))))))
(/.f64 (*.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d)))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c))))))
(/.f64 (*.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) #s(literal 1 binary64)) (*.f64 (fma.f64 c (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (*.f64 (*.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c (neg.f64 c) (*.f64 d d)))) (*.f64 (+.f64 c d) (-.f64 c d)))
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c (neg.f64 c) (*.f64 d d)))) (neg.f64 (fma.f64 c (neg.f64 c) (*.f64 d d))))
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (fma.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) (+.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
(*.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64))
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c))))
(*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c))))))
(*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))))
(*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c (neg.f64 c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 c (neg.f64 c) (*.f64 d d))))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 c d)) (+.f64 c d))

simplify414.0ms (4.1%)

Memory
14.4MiB live, 534.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 512×lower-*.f64
7 512×lower-*.f32
7 222×lower-fma.f64
7 222×lower-fma.f32
2 488×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04754359
115984287
255224231
082104057
Stop Event
1×iter limit
1×node limit
Counts
468 → 459
Calls
Call 1
Inputs
(/ (* a c) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/ (* a c) (pow d 2))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/ b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(/ (pow d 2) (* a c))
(* (pow d 2) (+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))
(* (pow d 2) (+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(* (pow d 2) (+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(/ d b)
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))
(* d (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(/ d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(/ d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(+ (* a (- (/ (* a (pow c 2)) (* (pow b 3) d)) (/ c (pow b 2)))) (/ d b))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (* (pow b 4) (pow d 2)))) (* -1 (/ (pow c 2) (* (pow b 3) d))))) (/ c (pow b 2)))) (/ d b))
(/ (pow d 2) (* a c))
(/ (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 2)))) (/ (pow d 2) c)) a)
(/ (- (+ (/ (* (pow b 2) (pow d 4)) (* (pow a 2) (pow c 3))) (/ (pow d 2) c)) (/ (* b (pow d 3)) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 5)) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c)) (+ (* -1 (/ (* (pow b 2) (pow d 4)) (* (pow a 2) (pow c 3)))) (/ (* b (pow d 3)) (* a (pow c 2))))) a)
(/ (pow d 2) (* a c))
(* -1 (/ (+ (* -1 (/ (pow d 2) c)) (/ (* b (pow d 3)) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow b 2) (pow d 4)) (* a (pow c 3))) (/ (* b (pow d 3)) (pow c 2))) a)) (* -1 (/ (pow d 2) c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 5)) (* a (pow c 4))) (/ (* (pow b 2) (pow d 4)) (pow c 3))) a)) (/ (* b (pow d 3)) (pow c 2))) a)) (* -1 (/ (pow d 2) c))) a))
(/ d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) d)) (/ a (pow b 2)))) (/ d b))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 2)))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(/ (pow d 2) (* a c))
(/ (+ (* -1 (/ (* b (pow d 3)) (* (pow a 2) c))) (/ (pow d 2) a)) c)
(/ (- (+ (/ (* (pow b 2) (pow d 4)) (* (pow a 3) (pow c 2))) (/ (pow d 2) a)) (/ (* b (pow d 3)) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 5)) (* (pow a 4) (pow c 3)))) (/ (pow d 2) a)) (+ (* -1 (/ (* (pow b 2) (pow d 4)) (* (pow a 3) (pow c 2)))) (/ (* b (pow d 3)) (* (pow a 2) c)))) c)
(/ (pow d 2) (* a c))
(* -1 (/ (+ (* -1 (/ (pow d 2) a)) (/ (* b (pow d 3)) (* (pow a 2) c))) c))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow b 2) (pow d 4)) (* (pow a 3) c)) (/ (* b (pow d 3)) (pow a 2))) c)) (* -1 (/ (pow d 2) a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 5)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 4)) (pow a 3))) c)) (/ (* b (pow d 3)) (pow a 2))) c)) (* -1 (/ (pow d 2) a))) c))
(/ (pow d 2) (* a c))
(+ (* -1 (/ (* b (pow d 3)) (* (pow a 2) (pow c 2)))) (/ (pow d 2) (* a c)))
(+ (* b (- (/ (* b (pow d 4)) (* (pow a 3) (pow c 3))) (/ (pow d 3) (* (pow a 2) (pow c 2))))) (/ (pow d 2) (* a c)))
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 5)) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow d 4) (* (pow a 3) (pow c 3)))))) (/ (pow d 3) (* (pow a 2) (pow c 2))))) (/ (pow d 2) (* a c)))
(/ d b)
(/ (+ d (* -1 (/ (* a c) b))) b)
(/ (- (+ d (/ (* (pow a 2) (pow c 2)) (* (pow b 2) d))) (/ (* a c) b)) b)
(/ (- (+ d (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) d))) (/ (* a c) b))) b)
(/ d b)
(* -1 (/ (+ (* -1 d) (/ (* a c) b)) b))
(* -1 (/ (+ (* -1 d) (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* b d)) (* a c)) b))) b))
(* -1 (/ (+ (* -1 d) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 2))) (/ (* (pow a 2) (pow c 2)) d)) b)) (* a c)) b))) b))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ 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)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ (* a c) (pow d 2))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/ b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(/ (* a c) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) 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)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
d
(+ d (/ (pow c 2) d))
(+ d (/ (pow c 2) d))
(+ d (/ (pow c 2) d))
(/ (pow c 2) d)
(* (pow c 2) (+ (/ 1 d) (/ d (pow c 2))))
(* (pow c 2) (+ (/ 1 d) (/ d (pow c 2))))
(* (pow c 2) (+ (/ 1 d) (/ d (pow c 2))))
(/ (pow c 2) d)
(* (pow c 2) (+ (/ 1 d) (/ d (pow c 2))))
(* (pow c 2) (+ (/ 1 d) (/ d (pow c 2))))
(* (pow c 2) (+ (/ 1 d) (/ d (pow c 2))))
(/ (pow c 2) d)
(/ (+ (pow c 2) (pow d 2)) d)
(/ (+ (pow c 2) (pow d 2)) d)
(/ (+ (pow c 2) (pow d 2)) d)
d
(* d (+ 1 (/ (pow c 2) (pow d 2))))
(* d (+ 1 (/ (pow c 2) (pow d 2))))
(* d (+ 1 (/ (pow c 2) (pow d 2))))
d
(* -1 (* d (- (* -1 (/ (pow c 2) (pow d 2))) 1)))
(* -1 (* d (- (* -1 (/ (pow c 2) (pow d 2))) 1)))
(* -1 (* d (- (* -1 (/ (pow c 2) (pow d 2))) 1)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ (* b d) (pow c 2))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(/ b d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
Outputs
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 a c (*.f64 d b)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 a c (*.f64 d b)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 a c (*.f64 d b)) (*.f64 d d))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/ b d)
(/.f64 b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 b (/.f64 (*.f64 a c) (*.f64 d (*.f64 d b))) (/.f64 b d))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 b (/.f64 (*.f64 a c) (*.f64 d (*.f64 d b))) (/.f64 b d))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 b (/.f64 (*.f64 a c) (*.f64 d (*.f64 d b))) (/.f64 b d))
(/ b d)
(/.f64 b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 b (/.f64 (*.f64 a c) (*.f64 d (*.f64 d b))) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 b (/.f64 (*.f64 a c) (*.f64 d (*.f64 d b))) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 b (/.f64 (*.f64 a c) (*.f64 d (*.f64 d b))) (/.f64 b d))
(/ (pow d 2) (* a c))
(/.f64 (*.f64 d d) (*.f64 a c))
(* (pow d 2) (+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))
(*.f64 (*.f64 d d) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 (*.f64 d b) (*.f64 a (*.f64 a (*.f64 c c))))))
(* (pow d 2) (+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(*.f64 (*.f64 d d) (fma.f64 d (-.f64 (/.f64 (*.f64 d (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 b (*.f64 a (*.f64 a (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (*.f64 a c))))
(* (pow d 2) (+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(*.f64 (*.f64 d d) (fma.f64 d (-.f64 (*.f64 d (-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 d (*.f64 b (*.f64 b b))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))))) (/.f64 b (*.f64 a (*.f64 a (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (*.f64 a c))))
(/ d b)
(/.f64 d b)
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(fma.f64 d (/.f64 (*.f64 a c) (*.f64 d (*.f64 b (neg.f64 b)))) (/.f64 d b))
(* d (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))
(+.f64 (/.f64 d b) (*.f64 d (/.f64 (*.f64 a (fma.f64 (*.f64 c c) (/.f64 a (*.f64 d (*.f64 b (*.f64 b b)))) (/.f64 c (*.f64 b (neg.f64 b))))) d)))
(* d (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(*.f64 d (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (pow.f64 b #s(literal 4 binary64))))))) (/.f64 (*.f64 a (fma.f64 (*.f64 c c) (/.f64 a (*.f64 d (*.f64 b (*.f64 b b)))) (/.f64 c (*.f64 b (neg.f64 b))))) d)))
(/ d b)
(/.f64 d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(*.f64 (fma.f64 a (/.f64 c (*.f64 d (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)) (neg.f64 d))
(* -1 (* d (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(+.f64 (/.f64 d b) (*.f64 d (/.f64 (*.f64 a (fma.f64 (*.f64 c c) (/.f64 a (*.f64 d (*.f64 b (*.f64 b b)))) (/.f64 c (*.f64 b (neg.f64 b))))) d)))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
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(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))

eval156.0ms (1.6%)

Memory
19.9MiB live, 370.0MiB allocated
Compiler

Compiled 26 739 to 2 618 computations (90.2% saved)

prune253.0ms (2.5%)

Memory
-33.9MiB live, 419.9MiB allocated
Pruning

24 alts after pruning (14 fresh and 10 done)

PrunedKeptTotal
New1 32161 327
Fresh5813
Picked145
Done066
Total1 327241 351
Accuracy
100.0%
Counts
1 351 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(fma.f64 (/.f64 (/.f64 b c) (/.f64 #s(literal 1 binary64) d)) (/.f64 #s(literal 1 binary64) c) (/.f64 a c))
✓51.4%
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
35.8%
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
✓53.1%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
✓40.6%
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
✓56.5%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
20.4%
(/.f64 (/.f64 (*.f64 b d) c) c)
25.2%
(/.f64 (/.f64 (*.f64 a c) d) d)
19.8%
(/.f64 (*.f64 b d) (*.f64 c c))
23.8%
(/.f64 (*.f64 a c) (*.f64 d d))
56.4%
(/.f64 b (fma.f64 c (/.f64 c d) d))
20.7%
(/.f64 b (/.f64 (*.f64 c c) d))
✓41.6%
(/.f64 b d)
✓42.6%
(/.f64 a c)
23.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 a c)))
✓56.4%
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
✓41.6%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
✓42.2%
(/.f64 #s(literal 1 binary64) (/.f64 c a))
45.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d (fma.f64 d b (*.f64 a c))) d))
56.3%
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
45.6%
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
41.5%
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
✓42.5%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
23.9%
(*.f64 a (/.f64 c (*.f64 d d)))
Compiler

Compiled 793 to 309 computations (61% saved)

regimes75.0ms (0.7%)

Memory
-7.9MiB live, 185.4MiB allocated
Counts
46 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(/.f64 (*.f64 a c) (*.f64 c c))
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 b (/.f64 (*.f64 c c) d))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
(/.f64 b (fma.f64 c (/.f64 c d) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 a c)))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c))
(/.f64 b (/.f64 (fma.f64 c c (*.f64 d d)) d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d (fma.f64 d b (*.f64 a c))) d))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c)))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 d b) (*.f64 a (/.f64 c (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d (fma.f64 a (/.f64 c d) b))))
(fma.f64 (/.f64 (/.f64 b c) (/.f64 #s(literal 1 binary64) d)) (/.f64 #s(literal 1 binary64) c) (/.f64 a c))
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 b d (*.f64 a (neg.f64 c)))))
(/.f64 #s(literal 1 binary64) (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 a) (/.f64 (*.f64 c (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b d)))) (/.f64 #s(literal 1 binary64) (*.f64 b d)))) (*.f64 b d)) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b d)))) (/.f64 #s(literal 1 binary64) (*.f64 b d)))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b)))
(exp.f64 (*.f64 (log.f64 (/.f64 d b)) #s(literal -1 binary64)))
Outputs
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
Calls

5 calls:

15.0ms
a
15.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
14.0ms
c
14.0ms
d
13.0ms
b
Results
AccuracySegmentsBranch
77.9%5a
75.5%4b
89.4%4c
87.5%5d
83.4%4(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes12.0ms (0.1%)

Memory
34.5MiB live, 34.5MiB allocated
Counts
35 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(/.f64 (*.f64 a c) (*.f64 c c))
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 b (/.f64 (*.f64 c c) d))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
(/.f64 b (fma.f64 c (/.f64 c d) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 a c)))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c))
(/.f64 b (/.f64 (fma.f64 c c (*.f64 d d)) d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d (fma.f64 d b (*.f64 a c))) d))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c)))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
Outputs
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
Calls

1 calls:

10.0ms
c
Results
AccuracySegmentsBranch
89.4%4c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes21.0ms (0.2%)

Memory
-12.1MiB live, 66.1MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(/.f64 (*.f64 a c) (*.f64 c c))
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 b (/.f64 (*.f64 c c) d))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
(/.f64 b (fma.f64 c (/.f64 c d) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 a c)))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c))
(/.f64 b (/.f64 (fma.f64 c c (*.f64 d d)) d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
Outputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
Calls

2 calls:

10.0ms
c
10.0ms
d
Results
AccuracySegmentsBranch
83.4%3d
83.5%4c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes24.0ms (0.2%)

Memory
16.5MiB live, 58.8MiB allocated
Counts
22 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(/.f64 (*.f64 a c) (*.f64 c c))
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 b (/.f64 (*.f64 c c) d))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
(/.f64 b (fma.f64 c (/.f64 c d) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
Outputs
(/.f64 a c)
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 a c)
Calls

3 calls:

9.0ms
c
7.0ms
d
6.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
69.1%5(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
80.9%4c
74.9%3d
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes51.0ms (0.5%)

Memory
-20.1MiB live, 55.3MiB allocated
Counts
21 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(/.f64 (*.f64 a c) (*.f64 c c))
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 b (/.f64 (*.f64 c c) d))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
(/.f64 b (fma.f64 c (/.f64 c d) d))
Outputs
(/.f64 a c)
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 b (fma.f64 c (/.f64 c d) d))
(/.f64 a c)
Calls

4 calls:

30.0ms
a
6.0ms
c
6.0ms
b
6.0ms
d
Results
AccuracySegmentsBranch
66.7%3b
67.8%4a
70.7%3d
74.2%4c
Compiler

Compiled 20 to 16 computations (20% saved)

regimes13.0ms (0.1%)

Memory
23.6MiB live, 23.6MiB allocated
Counts
20 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(/.f64 (*.f64 a c) (*.f64 c c))
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 b (/.f64 (*.f64 c c) d))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
Outputs
(/.f64 a c)
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 b d)
(/.f64 a c)
Calls

2 calls:

6.0ms
c
6.0ms
d
Results
AccuracySegmentsBranch
69.6%4d
70.9%4c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes32.0ms (0.3%)

Memory
-20.9MiB live, 18.7MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(/.f64 (*.f64 a c) (*.f64 c c))
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 b (/.f64 (*.f64 c c) d))
Outputs
(/.f64 b d)
(/.f64 a c)
(/.f64 b d)
Calls

2 calls:

27.0ms
c
4.0ms
d
Results
AccuracySegmentsBranch
67.0%3d
69.1%5c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory
21.0MiB live, 21.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 a c)
Outputs
(/.f64 a c)
Calls

5 calls:

1.0ms
d
1.0ms
a
1.0ms
b
1.0ms
c
1.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
42.6%1c
42.6%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
42.6%1a
42.6%1b
42.6%1d
Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch51.0ms (0.5%)

Memory
-23.2MiB live, 95.2MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.0243029331733757e+55
4.675196845740287e+60
15.0ms
-1.5984414740368445e-99
-6.521285831550215e-106
15.0ms
-5.627982375725548e+113
-7.977185852119008e+110
Samples
30.0ms416×0valid
Compiler

Compiled 833 to 510 computations (38.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (60.9% of total)
ival-add: 4.0ms (20.3% of total)
ival-div: 3.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.0243029331733757e+55
4.675196845740287e+60
1.0ms
-1.5984414740368445e-99
-6.521285831550215e-106
1.0ms
-5.627982375725548e+113
-7.977185852119008e+110
Compiler

Compiled 817 to 502 computations (38.6% saved)

bsearch42.0ms (0.4%)

Memory
-23.2MiB live, 71.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
6.561421081236068e-6
0.016296542737110144
16.0ms
-4.493996876661025e-17
-6.667468232889426e-26
Samples
28.0ms272×0valid
Compiler

Compiled 464 to 290 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 17.0ms (81.9% of total)
ival-div: 2.0ms (9.6% of total)
ival-add: 2.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Memory
1.8MiB live, 74.1MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.472670857048116e+93
6.627808084882898e+96
15.0ms
-1.5984414740368445e-99
-6.521285831550215e-106
7.0ms
-5.627982375725548e+113
-7.977185852119008e+110
Samples
24.0ms304×0valid
Compiler

Compiled 626 to 403 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (64.9% of total)
ival-add: 3.0ms (24.4% of total)
ival-div: 2.0ms (16.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.472670857048116e+93
6.627808084882898e+96
7.0ms
-2.1644116412367077e-146
-1.2485130951609548e-146
1.0ms
-5.627982375725548e+113
-7.977185852119008e+110
Samples
4.0ms64×0valid
Compiler

Compiled 486 to 318 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (76.3% of total)
ival-add: 1.0ms (38.2% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.472670857048116e+93
6.627808084882898e+96
0.0ms
-2.1644116412367077e-146
-1.2485130951609548e-146
1.0ms
-5.627982375725548e+113
-7.977185852119008e+110
Compiler

Compiled 426 to 294 computations (31% saved)

bsearch18.0ms (0.2%)

Memory
-3.0MiB live, 34.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
6.561421081236068e-6
0.016296542737110144
16.0ms
-8.491387699009679e+76
-2.8581085629257233e+74
Samples
12.0ms128×0valid
Compiler

Compiled 278 to 210 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (56.3% of total)
ival-div: 1.0ms (18.8% of total)
ival-add: 1.0ms (18.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify17.0ms (0.2%)

Memory
-22.2MiB live, 18.8MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
4×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062259
166259
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 c #s(literal -6600000000000000222307420466052128574291344765173923877991939082816058072721717679593208217155183955948838322176 binary64)) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (if (<=.f64 c #s(literal -1462602470010163/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 6799999999999999840928705167907500370099247737872588996608 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 c #s(literal -6600000000000000222307420466052128574291344765173923877991939082816058072721717679593208217155183955948838322176 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 c #s(literal -1462602470010163/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 6799999999999999840928705167907500370099247737872588996608 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 d #s(literal -6646139978924579/5316911983139663491615228241121378304 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 7839866231326559/1152921504606846976 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 c #s(literal -4099999999999999863010824754248508654367585347438453104161834278241058127753587248097785875271482833314009579520 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -2364120371783669/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 a c))))
(if (<=.f64 c #s(literal -4099999999999999863010824754248508654367585347438453104161834278241058127753587248097785875271482833314009579520 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -3486658190770977/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) (/.f64 b (fma.f64 c (/.f64 c d) d)) (/.f64 a c))))
(if (<=.f64 c #s(literal -4099999999999999863010824754248508654367585347438453104161834278241058127753587248097785875271482833314009579520 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -3486658190770977/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) (/.f64 b d) (/.f64 a c))))
(if (<=.f64 d #s(literal -599999999999999996097319812363476242654334237648745795412662696438038265856 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 7839866231326559/1152921504606846976 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)
Outputs
(if (<=.f64 c #s(literal -6600000000000000222307420466052128574291344765173923877991939082816058072721717679593208217155183955948838322176 binary64)) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (if (<=.f64 c #s(literal -1462602470010163/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 6799999999999999840928705167907500370099247737872588996608 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 c #s(literal -6600000000000000222307420466052128574291344765173923877991939082816058072721717679593208217155183955948838322176 binary64)) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (if (<=.f64 c #s(literal -1462602470010163/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 6799999999999999840928705167907500370099247737872588996608 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 c #s(literal -6600000000000000222307420466052128574291344765173923877991939082816058072721717679593208217155183955948838322176 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 c #s(literal -1462602470010163/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 6799999999999999840928705167907500370099247737872588996608 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 c #s(literal -6600000000000000222307420466052128574291344765173923877991939082816058072721717679593208217155183955948838322176 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 c #s(literal -1462602470010163/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 6799999999999999840928705167907500370099247737872588996608 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 d #s(literal -6646139978924579/5316911983139663491615228241121378304 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 7839866231326559/1152921504606846976 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 c #s(literal -4099999999999999863010824754248508654367585347438453104161834278241058127753587248097785875271482833314009579520 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -2364120371783669/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 a c))))
(if (<=.f64 c #s(literal -4099999999999999863010824754248508654367585347438453104161834278241058127753587248097785875271482833314009579520 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -2364120371783669/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 a c))))
(if (<=.f64 c #s(literal -4099999999999999863010824754248508654367585347438453104161834278241058127753587248097785875271482833314009579520 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -3486658190770977/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) (/.f64 b (fma.f64 c (/.f64 c d) d)) (/.f64 a c))))
(if (<=.f64 c #s(literal -4099999999999999863010824754248508654367585347438453104161834278241058127753587248097785875271482833314009579520 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -3486658190770977/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) (/.f64 b (fma.f64 c (/.f64 c d) d)) (/.f64 a c))))
(if (<=.f64 c #s(literal -4099999999999999863010824754248508654367585347438453104161834278241058127753587248097785875271482833314009579520 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -3486658190770977/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) (/.f64 b d) (/.f64 a c))))
(if (<=.f64 c #s(literal -4099999999999999863010824754248508654367585347438453104161834278241058127753587248097785875271482833314009579520 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -3486658190770977/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) (/.f64 b d) (/.f64 a c))))
(if (<=.f64 d #s(literal -599999999999999996097319812363476242654334237648745795412662696438038265856 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 7839866231326559/1152921504606846976 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)

soundness676.0ms (6.8%)

Memory
21.5MiB live, 664.1MiB allocated
Rules
7 676×lower-fma.f64
7 676×lower-fma.f32
7 512×lower-*.f64
7 512×lower-*.f32
7 222×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04754359
115984287
255224231
082104057
01861428
16181418
218921394
357631392
081851262
020102
037102
1147100
21144100
08565100
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 516 to 213 computations (58.7% saved)

preprocess185.0ms (1.8%)

Memory
-2.6MiB live, 113.8MiB allocated
Compiler

Compiled 644 to 186 computations (71.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...