Expression, p14

Time bar (total: 6.0s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 42 to 30 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-add: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)

sample2.7s (44.7%)

Results
2.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-<=: 991.0ms (77.1% of total)
ival-add: 109.0ms (8.5% of total)
ival-mult: 97.0ms (7.5% of total)
ival-and: 55.0ms (4.3% of total)
const: 30.0ms (2.3% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess371.0ms (6.2%)

Algorithm
egg-herbie
Rules
2098×fma-neg
591×unsub-neg
372×distribute-lft-in
348×distribute-rgt-in
256×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049520
1177512
2608500
31812500
43738500
54571500
65027500
75049500
85049500
95068500
105068500
115068500
126951500
136951500
146951500
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 (neg.f64 a) (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 (+.f64 (neg.f64 b) c) d))
(*.f64 a (+.f64 (+.f64 b (neg.f64 c)) d))
(*.f64 a (+.f64 (+.f64 b c) (neg.f64 d)))
(neg.f64 (*.f64 (neg.f64 a) (+.f64 (+.f64 b c) d)))
(neg.f64 (*.f64 a (+.f64 (+.f64 (neg.f64 b) c) d)))
(neg.f64 (*.f64 a (+.f64 (+.f64 b (neg.f64 c)) d)))
(neg.f64 (*.f64 a (+.f64 (+.f64 b c) (neg.f64 d))))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 (+.f64 b d) c))
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (neg.f64 a) (+.f64 (+.f64 b c) d))
(*.f64 (+.f64 c (+.f64 b d)) (neg.f64 a))
(*.f64 a (+.f64 (+.f64 (neg.f64 b) c) d))
(*.f64 a (+.f64 d (+.f64 c (neg.f64 b))))
(*.f64 a (+.f64 d (-.f64 c b)))
(*.f64 a (-.f64 (+.f64 c d) b))
(*.f64 a (-.f64 d (-.f64 b c)))
(*.f64 a (+.f64 (+.f64 b (neg.f64 c)) d))
(*.f64 a (+.f64 d (-.f64 b c)))
(*.f64 a (+.f64 b (-.f64 d c)))
(*.f64 a (+.f64 (+.f64 b c) (neg.f64 d)))
(*.f64 a (-.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))
(neg.f64 (*.f64 (neg.f64 a) (+.f64 (+.f64 b c) d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(neg.f64 (*.f64 a (+.f64 (+.f64 (neg.f64 b) c) d)))
(*.f64 a (neg.f64 (+.f64 d (+.f64 c (neg.f64 b)))))
(*.f64 a (neg.f64 (+.f64 d (-.f64 c b))))
(*.f64 a (-.f64 b (+.f64 c d)))
(neg.f64 (*.f64 a (+.f64 (+.f64 b (neg.f64 c)) d)))
(*.f64 (neg.f64 a) (+.f64 d (-.f64 b c)))
(*.f64 a (-.f64 (-.f64 c d) b))
(*.f64 a (-.f64 c (+.f64 b d)))
(neg.f64 (*.f64 a (+.f64 (+.f64 b c) (neg.f64 d))))
(*.f64 a (neg.f64 (-.f64 (+.f64 b c) d)))
(*.f64 a (neg.f64 (+.f64 b (-.f64 c d))))
(*.f64 a (-.f64 d (+.f64 b c)))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 b (+.f64 a (+.f64 c d)))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 c (+.f64 b (+.f64 a d)))
(*.f64 c (+.f64 a (+.f64 b d)))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 d (+.f64 a (+.f64 b c)))
(*.f64 d (+.f64 b (+.f64 a c)))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 (+.f64 b d) c))
(*.f64 a (+.f64 c (+.f64 b d)))
Symmetry

(negabs a)

(sort b c d)

explain72.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-b
00-0-(+.f64 (+.f64 b c) d)
00-0-d
00-0-a
00-0-(*.f64 a (+.f64 (+.f64 b c) d))
00-0-(+.f64 b c)
00-0-c
Results
46.0ms512×0valid
Compiler

Compiled 59 to 23 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-add: 14.0ms (77.6% of total)
ival-mult: 4.0ms (22.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

prune3.0ms (0.1%)

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

Compiled 11 to 7 computations (36.4% saved)

localize80.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 b d)
cost-diff0
(+.f64 c (+.f64 b d))
cost-diff0
(*.f64 a (+.f64 c (+.f64 b d)))
accuracy100.0%
(+.f64 b d)
accuracy100.0%
(+.f64 c (+.f64 b d))
accuracy99.9%
(*.f64 a (+.f64 c (+.f64 b d)))
Rules
28×fma-define
12×distribute-lft-in
10×distribute-rgt-in
*-commutative
associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01482
12582
25082
39382
411182
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 a (+.f64 c (+.f64 b d)))
a
(+.f64 c (+.f64 b d))
c
(+.f64 b d)
b
d
Outputs
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 d c)))
(*.f64 a (+.f64 b (+.f64 c d)))
a
(+.f64 c (+.f64 b d))
(+.f64 b (+.f64 d c))
(+.f64 b (+.f64 c d))
c
(+.f64 b d)
b
d
Results
17.0ms256×0valid
Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (61.7% of total)
ival-mult: 2.0ms (41.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.3%)

Counts
3 → 102
Calls
Call 1
Inputs
#<alt (*.f64 a (+.f64 c (+.f64 b d)))>
#<alt (+.f64 c (+.f64 b d))>
#<alt (+.f64 b d)>
Outputs
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b d))>
#<alt (+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))>
#<alt (+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))>
#<alt (+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))>
#<alt (*.f64 a c)>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a (+.f64 b d)) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a (+.f64 b d)) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a (+.f64 b d)) c)))>
#<alt (*.f64 a c)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b d)) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b d)) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b d)) c)))))>
#<alt (*.f64 a (+.f64 c d))>
#<alt (+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))>
#<alt (+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))>
#<alt (+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))>
#<alt (*.f64 a b)>
#<alt (*.f64 b (+.f64 a (/.f64 (*.f64 a (+.f64 c d)) b)))>
#<alt (*.f64 b (+.f64 a (/.f64 (*.f64 a (+.f64 c d)) b)))>
#<alt (*.f64 b (+.f64 a (/.f64 (*.f64 a (+.f64 c d)) b)))>
#<alt (*.f64 a b)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 c d)) b)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 c d)) b)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 c d)) b)))))>
#<alt (*.f64 a (+.f64 b c))>
#<alt (+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))>
#<alt (+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))>
#<alt (+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))>
#<alt (*.f64 a d)>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))>
#<alt (*.f64 a d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))>
#<alt (+.f64 b d)>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 b (+.f64 c d))>
#<alt c>
#<alt (*.f64 c (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b c) (/.f64 d c))))>
#<alt (*.f64 c (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b c) (/.f64 d c))))>
#<alt (*.f64 c (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b c) (/.f64 d c))))>
#<alt c>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c)) #s(literal 1 binary64))))>
#<alt (+.f64 c d)>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 b (+.f64 c d))>
#<alt b>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 c b) (/.f64 d b))))>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 c b) (/.f64 d b))))>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 c b) (/.f64 d b))))>
#<alt b>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b)) #s(literal 1 binary64))))>
#<alt (+.f64 b c)>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 b (+.f64 c d))>
#<alt d>
#<alt (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))>
#<alt (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))>
#<alt (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))>
#<alt d>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64))))>
#<alt d>
#<alt b>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 d b)))>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 d b)))>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 d b)))>
#<alt b>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 d b)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 d b)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 d b)) #s(literal 1 binary64))))>
#<alt b>
#<alt d>
#<alt (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 b d)))>
#<alt (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 b d)))>
#<alt (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 b d)))>
#<alt d>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b d)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b d)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b d)) #s(literal 1 binary64))))>
Calls

27 calls:

TimeVariablePointExpression
5.0ms
b
@-inf
(+ b d)
1.0ms
a
@0
(* a (+ c (+ b d)))
1.0ms
c
@-inf
(* a (+ c (+ b d)))
1.0ms
d
@0
(+ c (+ b d))
0.0ms
c
@inf
(* a (+ c (+ b d)))

rewrite230.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
993×log1p-expm1-u
993×expm1-log1p-u
431×log-prod
426×fma-define
213×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01466
117466
2262366
Stop Event
node limit
Counts
3 → 178
Calls
Call 1
Inputs
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 c (+.f64 b d))
(+.f64 b d)
Outputs
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(+.f64 (*.f64 a (+.f64 b d)) (*.f64 a c))
(+.f64 #s(literal 0 binary64) (*.f64 a (+.f64 d (+.f64 c b))))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 (+.f64 c b) a) (*.f64 d a))
(+.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64)) (*.f64 (*.f64 a (+.f64 b d)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 d (+.f64 c b))) a)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 d (+.f64 c b))) a)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 d (+.f64 c b))) a))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 d (+.f64 c b))) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 d (+.f64 c b))) a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 d (+.f64 c b))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 3 binary64))) (fma.f64 (*.f64 a c) (*.f64 a c) (-.f64 (*.f64 (*.f64 a (+.f64 b d)) (*.f64 a (+.f64 b d))) (*.f64 (*.f64 a c) (*.f64 a (+.f64 b d))))))
(/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a (+.f64 b d)) (*.f64 a (+.f64 b d)))) (-.f64 (*.f64 a c) (*.f64 a (+.f64 b d))))
(/.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 b d) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (+.f64 b d) (-.f64 (+.f64 b d) c) (pow.f64 c #s(literal 2 binary64))))
(/.f64 (*.f64 a (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (+.f64 b d) #s(literal 2 binary64)))) (-.f64 (-.f64 c b) d))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 b d) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) a) (fma.f64 (+.f64 b d) (-.f64 (+.f64 b d) c) (pow.f64 c #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (+.f64 b d) #s(literal 2 binary64))) a) (-.f64 (-.f64 c b) d))
(pow.f64 (*.f64 a (+.f64 d (+.f64 c b))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 d (+.f64 c b)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (+.f64 d (+.f64 c b))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 d (+.f64 c b)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 d (+.f64 c b))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 d (+.f64 c b))) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (+.f64 d (+.f64 c b))))))
(log.f64 (*.f64 (exp.f64 (*.f64 a (+.f64 b d))) (exp.f64 (*.f64 a c))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 d (+.f64 c b))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (+.f64 d (+.f64 c b)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 d (+.f64 c b)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 d (+.f64 c b)))))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 d (+.f64 c b)))))
(exp.f64 (log.f64 (*.f64 a (+.f64 d (+.f64 c b)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 d (+.f64 c b)))) #s(literal 1 binary64)))
(fma.f64 a c (*.f64 a (+.f64 b d)))
(fma.f64 a (+.f64 b d) (*.f64 a c))
(fma.f64 a (+.f64 c b) (*.f64 a d))
(fma.f64 c a (*.f64 a (+.f64 b d)))
(fma.f64 (+.f64 b d) a (*.f64 a c))
(fma.f64 #s(literal 1 binary64) (*.f64 a c) (*.f64 a (+.f64 b d)))
(fma.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b d)) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b d)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 b d)) a) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) c) (*.f64 a (+.f64 b d)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) (+.f64 b d)) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) (*.f64 (cbrt.f64 c) a) (*.f64 a (+.f64 b d)))
(fma.f64 (sqrt.f64 (+.f64 b d)) (*.f64 (sqrt.f64 (+.f64 b d)) a) (*.f64 a c))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (*.f64 a (+.f64 b d)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 b d)) (*.f64 a c))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (*.f64 a (+.f64 b d)))
(fma.f64 (*.f64 a c) #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 b d)) #s(literal 1 binary64)))
(fma.f64 (+.f64 c b) a (*.f64 d a))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a c)) (cbrt.f64 (*.f64 a c))) (cbrt.f64 (*.f64 a c)) (*.f64 a (+.f64 b d)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a (+.f64 b d))) (cbrt.f64 (*.f64 a (+.f64 b d)))) (cbrt.f64 (*.f64 a (+.f64 b d))) (*.f64 a c))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 a (+.f64 b d)))
(fma.f64 (sqrt.f64 (*.f64 a (+.f64 b d))) (sqrt.f64 (*.f64 a (+.f64 b d))) (*.f64 a c))
(fma.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 a)) (*.f64 (sqrt.f64 c) (sqrt.f64 a)) (*.f64 a (+.f64 b d)))
(fma.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 c)) (*.f64 (sqrt.f64 a) (sqrt.f64 c)) (*.f64 a (+.f64 b d)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 b d)) (sqrt.f64 a)) (*.f64 (sqrt.f64 (+.f64 b d)) (sqrt.f64 a)) (*.f64 a c))
(fma.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 b d))) (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 b d))) (*.f64 a c))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 a (+.f64 b d)))
(fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a (+.f64 b d)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 c) (*.f64 a (+.f64 b d)))
(fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 a (+.f64 b d)))
(fma.f64 (*.f64 (+.f64 b d) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 (+.f64 b d) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 b d)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 b d)) (*.f64 a c))
(fma.f64 (*.f64 a (sqrt.f64 (+.f64 b d))) (sqrt.f64 (+.f64 b d)) (*.f64 a c))
(-.f64 (exp.f64 (log1p.f64 (+.f64 d (+.f64 c b)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 c b) d)) (/.f64 (pow.f64 (+.f64 b d) #s(literal 2 binary64)) (-.f64 (-.f64 c b) d)))
(*.f64 (+.f64 d (+.f64 c b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 d (+.f64 c b)))
(*.f64 (cbrt.f64 (+.f64 d (+.f64 c b))) (pow.f64 (cbrt.f64 (+.f64 d (+.f64 c b))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 c b))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 d (+.f64 c b))))
(*.f64 (sqrt.f64 (+.f64 d (+.f64 c b))) (sqrt.f64 (+.f64 d (+.f64 c b))))
(*.f64 (+.f64 (pow.f64 (+.f64 b d) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 b d) (-.f64 (+.f64 b d) c) (pow.f64 c #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (+.f64 b d) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 c b) d)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 b d) (-.f64 (+.f64 b d) c) (pow.f64 c #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 b d) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 c b) d) (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (+.f64 b d) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (fma.f64 (+.f64 b d) (-.f64 (+.f64 b d) c) (pow.f64 c #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 b d) #s(literal 2 binary64)) (-.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 c (+.f64 b d)))))
(/.f64 (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (+.f64 b d) #s(literal 2 binary64))) (-.f64 (-.f64 c b) d))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b d) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 b d) (-.f64 (+.f64 b d) c) (pow.f64 c #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (+.f64 b d) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 c b) d)))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 (+.f64 c b) (+.f64 c b) (-.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (+.f64 c b) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 b d) #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (-.f64 (+.f64 b d) c))
(/.f64 (-.f64 (*.f64 (+.f64 c b) (+.f64 c b)) (pow.f64 d #s(literal 2 binary64))) (-.f64 (+.f64 c b) d))
(pow.f64 (+.f64 d (+.f64 c b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 d (+.f64 c b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 d (+.f64 c b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 d (+.f64 c b))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 d (+.f64 c b)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 d (+.f64 c b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 d (+.f64 c b)))))
(log.f64 (*.f64 (exp.f64 c) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 b d)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 c)) (exp.f64 (+.f64 b d))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 c)) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 b d)))))
(log.f64 (*.f64 (exp.f64 d) (*.f64 (exp.f64 c) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 d) (exp.f64 (+.f64 c b))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 d)) (*.f64 (exp.f64 c) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 d)) (exp.f64 (+.f64 c b))))
(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (+.f64 #s(literal 1 binary64) (expm1.f64 c))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 b d))) (exp.f64 c)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 b d))) (+.f64 #s(literal 1 binary64) (expm1.f64 c))))
(log.f64 (*.f64 (*.f64 (exp.f64 c) (exp.f64 b)) (exp.f64 d)))
(log.f64 (*.f64 (*.f64 (exp.f64 c) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 (+.f64 c b)) (+.f64 #s(literal 1 binary64) (expm1.f64 d))))
(cbrt.f64 (pow.f64 (+.f64 d (+.f64 c b)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 d (+.f64 c b))))
(log1p.f64 (expm1.f64 (+.f64 d (+.f64 c b))))
(exp.f64 (log.f64 (+.f64 d (+.f64 c b))))
(exp.f64 (*.f64 (log.f64 (+.f64 d (+.f64 c b))) #s(literal 1 binary64)))
(fma.f64 c #s(literal 1 binary64) (+.f64 b d))
(fma.f64 b #s(literal 1 binary64) (+.f64 d c))
(fma.f64 d #s(literal 1 binary64) (+.f64 c b))
(fma.f64 (+.f64 b d) #s(literal 1 binary64) c)
(fma.f64 #s(literal 1 binary64) c (+.f64 b d))
(fma.f64 #s(literal 1 binary64) b (+.f64 d c))
(fma.f64 #s(literal 1 binary64) d (+.f64 c b))
(fma.f64 #s(literal 1 binary64) (+.f64 b d) c)
(fma.f64 #s(literal 1 binary64) (+.f64 c b) d)
(fma.f64 (cbrt.f64 (+.f64 b d)) (pow.f64 (cbrt.f64 (+.f64 b d)) #s(literal 2 binary64)) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b d)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 b d)) c)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) (+.f64 d c))
(fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (+.f64 c b))
(fma.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (cbrt.f64 d) (+.f64 c b))
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) (+.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) (cbrt.f64 c) (+.f64 b d))
(fma.f64 (sqrt.f64 (+.f64 b d)) (sqrt.f64 (+.f64 b d)) c)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 d c))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 c b))
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(fma.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 d (-.f64 d b) (pow.f64 b #s(literal 2 binary64)))) c)
(fma.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 b d)) c)
(fma.f64 (+.f64 c b) #s(literal 1 binary64) d)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 c b)) (cbrt.f64 (+.f64 c b))) (cbrt.f64 (+.f64 c b)) d)
(fma.f64 (sqrt.f64 (+.f64 c b)) (sqrt.f64 (+.f64 c b)) d)
(-.f64 (exp.f64 (log1p.f64 (+.f64 b d))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 b d)) (/.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 b d)))
(*.f64 (+.f64 b d) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 b d))
(*.f64 (cbrt.f64 (+.f64 b d)) (pow.f64 (cbrt.f64 (+.f64 b d)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b d)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 b d)))
(*.f64 (sqrt.f64 (+.f64 b d)) (sqrt.f64 (+.f64 b d)))
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 d (-.f64 d b) (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 b d)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (-.f64 d b) (pow.f64 b #s(literal 2 binary64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b d) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d (-.f64 d b) (pow.f64 b #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d d (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 b d))))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (-.f64 b d))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (neg.f64 (fma.f64 d (-.f64 d b) (pow.f64 b #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (neg.f64 (-.f64 b d)))
(/.f64 (-.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 d b))
(pow.f64 (+.f64 b d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 b d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 b d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 b d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 b d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 b d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 b d))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (expm1.f64 d))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) (exp.f64 d)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) (+.f64 #s(literal 1 binary64) (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 d) (+.f64 #s(literal 1 binary64) (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 d)) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 d)) (+.f64 #s(literal 1 binary64) (expm1.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 b d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 b d)))
(log1p.f64 (expm1.f64 (+.f64 b d)))
(exp.f64 (log.f64 (+.f64 b d)))
(exp.f64 (*.f64 (log.f64 (+.f64 b d)) #s(literal 1 binary64)))
(fma.f64 b #s(literal 1 binary64) d)
(fma.f64 d #s(literal 1 binary64) b)
(fma.f64 #s(literal 1 binary64) b d)
(fma.f64 #s(literal 1 binary64) d b)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) d)
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) d)
(fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) b)
(fma.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (cbrt.f64 d) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) d)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) b)

simplify126.0ms (2.1%)

Algorithm
egg-herbie
Rules
473×associate-/l*
329×cancel-sign-sub-inv
305×associate-/r*
304×fma-neg
259×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04688913
111488756
235098713
Stop Event
node limit
Counts
280 → 264
Calls
Call 1
Inputs
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b d))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(*.f64 a c)
(*.f64 c (+.f64 a (/.f64 (*.f64 a (+.f64 b d)) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a (+.f64 b d)) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a (+.f64 b d)) c)))
(*.f64 a c)
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b d)) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b d)) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b d)) c)))))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a b)
(*.f64 b (+.f64 a (/.f64 (*.f64 a (+.f64 c d)) b)))
(*.f64 b (+.f64 a (/.f64 (*.f64 a (+.f64 c d)) b)))
(*.f64 b (+.f64 a (/.f64 (*.f64 a (+.f64 c d)) b)))
(*.f64 a b)
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 c d)) b)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 c d)) b)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 c d)) b)))))
(*.f64 a (+.f64 b c))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a d)
(*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))
(*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))
(*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))
(*.f64 a d)
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))
(+.f64 b d)
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
c
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b d) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d (-.f64 d b) (pow.f64 b #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d d (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 b d))))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (-.f64 b d))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (neg.f64 (fma.f64 d (-.f64 d b) (pow.f64 b #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (neg.f64 (-.f64 b d)))
(/.f64 (-.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 d b))
(pow.f64 (+.f64 b d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 b d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 b d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 b d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 b d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 b d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 b d))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (expm1.f64 d))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) (exp.f64 d)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) (+.f64 #s(literal 1 binary64) (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 d) (+.f64 #s(literal 1 binary64) (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 d)) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 d)) (+.f64 #s(literal 1 binary64) (expm1.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 b d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 b d)))
(log1p.f64 (expm1.f64 (+.f64 b d)))
(exp.f64 (log.f64 (+.f64 b d)))
(exp.f64 (*.f64 (log.f64 (+.f64 b d)) #s(literal 1 binary64)))
(fma.f64 b #s(literal 1 binary64) d)
(fma.f64 d #s(literal 1 binary64) b)
(fma.f64 #s(literal 1 binary64) b d)
(fma.f64 #s(literal 1 binary64) d b)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) d)
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) d)
(fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) b)
(fma.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (cbrt.f64 d) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) d)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) b)
Outputs
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 b d))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a c)
(*.f64 c (+.f64 a (/.f64 (*.f64 a (+.f64 b d)) c)))
(*.f64 c (+.f64 a (*.f64 a (/.f64 (+.f64 b d) c))))
(*.f64 c (fma.f64 a (/.f64 (+.f64 b d) c) a))
(*.f64 c (+.f64 a (/.f64 (*.f64 a (+.f64 b d)) c)))
(*.f64 c (+.f64 a (*.f64 a (/.f64 (+.f64 b d) c))))
(*.f64 c (fma.f64 a (/.f64 (+.f64 b d) c) a))
(*.f64 c (+.f64 a (/.f64 (*.f64 a (+.f64 b d)) c)))
(*.f64 c (+.f64 a (*.f64 a (/.f64 (+.f64 b d) c))))
(*.f64 c (fma.f64 a (/.f64 (+.f64 b d) c) a))
(*.f64 a c)
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b d)) c)))))
(*.f64 c (+.f64 a (*.f64 a (/.f64 (+.f64 b d) c))))
(*.f64 c (fma.f64 a (/.f64 (+.f64 b d) c) a))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b d)) c)))))
(*.f64 c (+.f64 a (*.f64 a (/.f64 (+.f64 b d) c))))
(*.f64 c (fma.f64 a (/.f64 (+.f64 b d) c) a))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b d)) c)))))
(*.f64 c (+.f64 a (*.f64 a (/.f64 (+.f64 b d) c))))
(*.f64 c (fma.f64 a (/.f64 (+.f64 b d) c) a))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a b)
(*.f64 b (+.f64 a (/.f64 (*.f64 a (+.f64 c d)) b)))
(*.f64 b (+.f64 a (*.f64 a (/.f64 (+.f64 c d) b))))
(*.f64 b (fma.f64 a (/.f64 (+.f64 c d) b) a))
(*.f64 b (+.f64 a (/.f64 (*.f64 a (+.f64 c d)) b)))
(*.f64 b (+.f64 a (*.f64 a (/.f64 (+.f64 c d) b))))
(*.f64 b (fma.f64 a (/.f64 (+.f64 c d) b) a))
(*.f64 b (+.f64 a (/.f64 (*.f64 a (+.f64 c d)) b)))
(*.f64 b (+.f64 a (*.f64 a (/.f64 (+.f64 c d) b))))
(*.f64 b (fma.f64 a (/.f64 (+.f64 c d) b) a))
(*.f64 a b)
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 c d)) b)))))
(*.f64 b (+.f64 a (*.f64 a (/.f64 (+.f64 c d) b))))
(*.f64 b (fma.f64 a (/.f64 (+.f64 c d) b) a))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 c d)) b)))))
(*.f64 b (+.f64 a (*.f64 a (/.f64 (+.f64 c d) b))))
(*.f64 b (fma.f64 a (/.f64 (+.f64 c d) b) a))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 c d)) b)))))
(*.f64 b (+.f64 a (*.f64 a (/.f64 (+.f64 c d) b))))
(*.f64 b (fma.f64 a (/.f64 (+.f64 c d) b) a))
(*.f64 a (+.f64 b c))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a d)
(*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))
(*.f64 d (+.f64 a (*.f64 a (/.f64 (+.f64 b c) d))))
(*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a))
(*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))
(*.f64 d (+.f64 a (*.f64 a (/.f64 (+.f64 b c) d))))
(*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a))
(*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))
(*.f64 d (+.f64 a (*.f64 a (/.f64 (+.f64 b c) d))))
(*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a))
(*.f64 a d)
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))
(*.f64 d (+.f64 a (*.f64 a (/.f64 (+.f64 b c) d))))
(*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))
(*.f64 d (+.f64 a (*.f64 a (/.f64 (+.f64 b c) d))))
(*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))
(*.f64 d (+.f64 a (*.f64 a (/.f64 (+.f64 b c) d))))
(*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a))
(+.f64 b d)
(+.f64 b (+.f64 c d))
(+.f64 c (+.f64 b d))
(+.f64 b (+.f64 c d))
(+.f64 c (+.f64 b d))
(+.f64 b (+.f64 c d))
(+.f64 c (+.f64 b d))
c
(*.f64 c (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b c) (/.f64 d c))))
(*.f64 c (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 d c)))
(*.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) #s(literal 1 binary64))))
(*.f64 c (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b c) (/.f64 d c))))
(*.f64 c (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 d c)))
(*.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) #s(literal 1 binary64))))
(*.f64 c (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b c) (/.f64 d c))))
(*.f64 c (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 d c)))
(*.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) #s(literal 1 binary64))))
c
(*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c)) #s(literal 1 binary64))))
(neg.f64 (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c) #s(literal -1 binary64))))
(*.f64 c (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c) #s(literal -1 binary64))))
(*.f64 c (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c))))
(*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c)) #s(literal 1 binary64))))
(neg.f64 (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c) #s(literal -1 binary64))))
(*.f64 c (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c) #s(literal -1 binary64))))
(*.f64 c (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c))))
(*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c)) #s(literal 1 binary64))))
(neg.f64 (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c) #s(literal -1 binary64))))
(*.f64 c (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c) #s(literal -1 binary64))))
(*.f64 c (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b d) c))))
(+.f64 c d)
(+.f64 b (+.f64 c d))
(+.f64 c (+.f64 b d))
(+.f64 b (+.f64 c d))
(+.f64 c (+.f64 b d))
(+.f64 b (+.f64 c d))
(+.f64 c (+.f64 b d))
b
(*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 c b) (/.f64 d b))))
(*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 c b) (/.f64 d b))))
(*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 c b) (/.f64 d b))))
b
(*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b)) #s(literal 1 binary64))))
(neg.f64 (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b) #s(literal -1 binary64)) (neg.f64 b))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b)) (neg.f64 b))
(*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b)) #s(literal 1 binary64))))
(neg.f64 (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b) #s(literal -1 binary64)) (neg.f64 b))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b)) (neg.f64 b))
(*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b)) #s(literal 1 binary64))))
(neg.f64 (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b) #s(literal -1 binary64)) (neg.f64 b))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 c d) b)) (neg.f64 b))
(+.f64 b c)
(+.f64 b (+.f64 c d))
(+.f64 c (+.f64 b d))
(+.f64 b (+.f64 c d))
(+.f64 c (+.f64 b d))
(+.f64 b (+.f64 c d))
(+.f64 c (+.f64 b d))
d
(*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b d)) (/.f64 c d)))
(*.f64 d (+.f64 (/.f64 b d) (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b d)) (/.f64 c d)))
(*.f64 d (+.f64 (/.f64 b d) (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b d)) (/.f64 c d)))
(*.f64 d (+.f64 (/.f64 b d) (+.f64 #s(literal 1 binary64) (/.f64 c d))))
d
(*.f64 #s(literal -1 binary64) (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64))))
(neg.f64 (*.f64 d (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d) #s(literal -1 binary64)) (neg.f64 d))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) (neg.f64 d))
(*.f64 #s(literal -1 binary64) (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64))))
(neg.f64 (*.f64 d (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d) #s(literal -1 binary64)) (neg.f64 d))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) (neg.f64 d))
(*.f64 #s(literal -1 binary64) (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64))))
(neg.f64 (*.f64 d (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d) #s(literal -1 binary64)) (neg.f64 d))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) (neg.f64 d))
d
b
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 d b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 d b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 d b)))
b
(*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 d b)) #s(literal 1 binary64))))
(neg.f64 (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 d b) #s(literal -1 binary64))))
(*.f64 b (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 d b) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 d b)) (neg.f64 b))
(*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 d b)) #s(literal 1 binary64))))
(neg.f64 (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 d b) #s(literal -1 binary64))))
(*.f64 b (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 d b) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 d b)) (neg.f64 b))
(*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 d b)) #s(literal 1 binary64))))
(neg.f64 (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 d b) #s(literal -1 binary64))))
(*.f64 b (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 d b) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 d b)) (neg.f64 b))
b
d
(*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 b d)))
(*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 b d)))
(*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 b d)))
d
(*.f64 #s(literal -1 binary64) (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b d)) #s(literal 1 binary64))))
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(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b d) #s(literal -1 binary64)) (neg.f64 d))
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(fma.f64 d #s(literal 1 binary64) b)
(+.f64 b d)
(fma.f64 #s(literal 1 binary64) b d)
(+.f64 b d)
(fma.f64 #s(literal 1 binary64) d b)
(+.f64 b d)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) d)
(+.f64 b d)
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) d)
(+.f64 b d)
(fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) b)
(+.f64 b d)
(fma.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (cbrt.f64 d) b)
(+.f64 b d)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) d)
(+.f64 b d)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) b)
(+.f64 b d)

eval40.0ms (0.7%)

Compiler

Compiled 3566 to 1339 computations (62.5% saved)

prune45.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2604264
Fresh000
Picked011
Done000
Total2605265
Accuracy
100.0%
Counts
265 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (*.f64 (+.f64 c b) a) (*.f64 d a))
99.9%
(*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))
99.9%
(*.f64 a (+.f64 c (+.f64 b d)))
99.5%
(*.f64 a (+.f64 c d))
93.2%
(*.f64 a d)
Compiler

Compiled 55 to 35 computations (36.4% saved)

localize389.0ms (6.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a (+.f64 c d))
cost-diff0
(*.f64 a d)
cost-diff128
(+.f64 (*.f64 (+.f64 c b) a) (*.f64 d a))
cost-diff256
(*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))
accuracy99.9%
(*.f64 a (+.f64 b c))
accuracy99.9%
(*.f64 a (+.f64 c d))
accuracy99.9%
(*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))
accuracy99.6%
(/.f64 (*.f64 a (+.f64 b c)) d)
Rules
2094×distribute-lft-in
953×fma-define
797×*-commutative
738×distribute-lft-out
602×associate-/l/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023352
151340
293340
3154324
4237312
5369312
6781312
72061312
84022312
95496312
106520312
116537312
126537312
137044312
147764312
157963312
167987312
177987312
187987312
197987312
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 a d)
a
d
(*.f64 a (+.f64 c d))
a
(+.f64 c d)
c
d
(*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))
d
(+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d))
a
(/.f64 (*.f64 a (+.f64 b c)) d)
(*.f64 a (+.f64 b c))
(+.f64 b c)
b
c
(+.f64 (*.f64 (+.f64 c b) a) (*.f64 d a))
(*.f64 (+.f64 c b) a)
(+.f64 c b)
c
b
a
(*.f64 d a)
d
Outputs
(*.f64 a d)
a
d
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
a
(+.f64 c d)
(+.f64 d c)
c
d
(*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))
(*.f64 d (+.f64 a (*.f64 a (/.f64 (+.f64 c b) d))))
(*.f64 d (fma.f64 a (/.f64 (+.f64 c b) d) a))
(*.f64 a (+.f64 d (*.f64 (+.f64 c b) #s(literal 1 binary64))))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 (+.f64 d c) b))
d
(+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d))
(+.f64 a (*.f64 a (/.f64 (+.f64 c b) d)))
(fma.f64 a (/.f64 (+.f64 c b) d) a)
(fma.f64 (+.f64 c b) (/.f64 a d) a)
a
(/.f64 (*.f64 a (+.f64 b c)) d)
(*.f64 a (/.f64 (+.f64 c b) d))
(*.f64 (+.f64 c b) (/.f64 a d))
(*.f64 a (+.f64 b c))
(*.f64 a (+.f64 c b))
(+.f64 b c)
(+.f64 c b)
b
c
(+.f64 (*.f64 (+.f64 c b) a) (*.f64 d a))
(*.f64 d (+.f64 a (*.f64 a (/.f64 (+.f64 c b) d))))
(*.f64 d (fma.f64 a (/.f64 (+.f64 c b) d) a))
(*.f64 a (+.f64 d (*.f64 (+.f64 c b) #s(literal 1 binary64))))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 (+.f64 c b) a)
(*.f64 a (+.f64 c b))
(+.f64 c b)
c
b
a
(*.f64 d a)
(*.f64 a d)
d
Results
48.0ms256×0valid
Compiler

Compiled 84 to 17 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 14.0ms (64.5% of total)
ival-add: 6.0ms (27.7% of total)
ival-div: 2.0ms (9.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series36.0ms (0.6%)

Counts
6 → 165
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 a (+.f64 b c)) d)>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))>
#<alt (*.f64 a (+.f64 c d))>
#<alt (*.f64 a (+.f64 b c))>
#<alt (+.f64 (*.f64 (+.f64 c b) a) (*.f64 d a))>
#<alt (*.f64 a d)>
Outputs
#<alt (/.f64 (*.f64 a c) d)>
#<alt (+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))>
#<alt (+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))>
#<alt (+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))>
#<alt (/.f64 (*.f64 a b) d)>
#<alt (*.f64 b (+.f64 (/.f64 a d) (/.f64 (*.f64 a c) (*.f64 b d))))>
#<alt (*.f64 b (+.f64 (/.f64 a d) (/.f64 (*.f64 a c) (*.f64 b d))))>
#<alt (*.f64 b (+.f64 (/.f64 a d) (/.f64 (*.f64 a c) (*.f64 b d))))>
#<alt (/.f64 (*.f64 a b) d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b d))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b d))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b d))))))>
#<alt (/.f64 (*.f64 a b) d)>
#<alt (+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))>
#<alt (+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))>
#<alt (+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))>
#<alt (/.f64 (*.f64 a c) d)>
#<alt (*.f64 c (+.f64 (/.f64 a d) (/.f64 (*.f64 a b) (*.f64 c d))))>
#<alt (*.f64 c (+.f64 (/.f64 a d) (/.f64 (*.f64 a b) (*.f64 c d))))>
#<alt (*.f64 c (+.f64 (/.f64 a d) (/.f64 (*.f64 a b) (*.f64 c d))))>
#<alt (/.f64 (*.f64 a c) d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) (*.f64 c d))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) (*.f64 c d))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) (*.f64 c d))))))>
#<alt (*.f64 a (+.f64 b c))>
#<alt (+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))>
#<alt (+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))>
#<alt (+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))>
#<alt (*.f64 a d)>
#<alt (*.f64 a d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64)))))>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))>
#<alt (+.f64 (*.f64 a b) (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))))>
#<alt (+.f64 (*.f64 a b) (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))))>
#<alt (+.f64 (*.f64 a b) (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))))>
#<alt (*.f64 a b)>
#<alt (*.f64 b (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))>
#<alt (*.f64 b (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))>
#<alt (*.f64 b (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))>
#<alt (*.f64 a b)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))))>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d)))>
#<alt (+.f64 (*.f64 a c) (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))))>
#<alt (+.f64 (*.f64 a c) (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))))>
#<alt (+.f64 (*.f64 a c) (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))))>
#<alt (*.f64 a c)>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))>
#<alt (*.f64 a c)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))))>
#<alt (*.f64 a d)>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (*.f64 a c)>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))>
#<alt (*.f64 a c)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))>
#<alt (*.f64 a c)>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (*.f64 a d)>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))>
#<alt (*.f64 a d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (*.f64 a c)>
#<alt (+.f64 (*.f64 a b) (*.f64 a c))>
#<alt (+.f64 (*.f64 a b) (*.f64 a c))>
#<alt (+.f64 (*.f64 a b) (*.f64 a c))>
#<alt (*.f64 a b)>
#<alt (*.f64 b (+.f64 a (/.f64 (*.f64 a c) b)))>
#<alt (*.f64 b (+.f64 a (/.f64 (*.f64 a c) b)))>
#<alt (*.f64 b (+.f64 a (/.f64 (*.f64 a c) b)))>
#<alt (*.f64 a b)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) b)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) b)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) b)))))>
#<alt (*.f64 a b)>
#<alt (+.f64 (*.f64 a b) (*.f64 a c))>
#<alt (+.f64 (*.f64 a b) (*.f64 a c))>
#<alt (+.f64 (*.f64 a b) (*.f64 a c))>
#<alt (*.f64 a c)>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a b) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a b) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a b) c)))>
#<alt (*.f64 a c)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) c)))))>
#<alt (+.f64 (*.f64 a b) (*.f64 a d))>
#<alt (+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))>
#<alt (+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))>
#<alt (+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))>
#<alt (*.f64 a c)>
#<alt (*.f64 c (+.f64 a (+.f64 (/.f64 (*.f64 a b) c) (/.f64 (*.f64 a d) c))))>
#<alt (*.f64 c (+.f64 a (+.f64 (/.f64 (*.f64 a b) c) (/.f64 (*.f64 a d) c))))>
#<alt (*.f64 c (+.f64 a (+.f64 (/.f64 (*.f64 a b) c) (/.f64 (*.f64 a d) c))))>
#<alt (*.f64 a c)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 a b) (*.f64 a d)) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 a b) (*.f64 a d)) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 a b) (*.f64 a d)) c)))))>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))>
#<alt (+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))>
#<alt (+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))>
#<alt (*.f64 a b)>
#<alt (*.f64 b (+.f64 a (+.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a d) b))))>
#<alt (*.f64 b (+.f64 a (+.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a d) b))))>
#<alt (*.f64 b (+.f64 a (+.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a d) b))))>
#<alt (*.f64 a b)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 a c) (*.f64 a d)) b)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 a c) (*.f64 a d)) b)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 a c) (*.f64 a d)) b)))))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 a (+.f64 b (+.f64 c d)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) d) (*.f64 #s(literal -1 binary64) (+.f64 b c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) d) (*.f64 #s(literal -1 binary64) (+.f64 b c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) d) (*.f64 #s(literal -1 binary64) (+.f64 b c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) d) (*.f64 #s(literal -1 binary64) (+.f64 b c)))))>
#<alt (*.f64 a (+.f64 b c))>
#<alt (+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))>
#<alt (+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))>
#<alt (+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))>
#<alt (*.f64 a d)>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))>
#<alt (*.f64 a d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))>
Calls

60 calls:

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

rewrite181.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1310×log1p-expm1-u
170×add-cube-cbrt
169×expm1-log1p-u
166×add-exp-log
166×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023168
1405164
25818164
Stop Event
node limit
Counts
6 → 186
Calls
Call 1
Inputs
(/.f64 (*.f64 a (+.f64 b c)) d)
(*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 b c))
(+.f64 (*.f64 (+.f64 c b) a) (*.f64 d a))
(*.f64 a d)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 (+.f64 b c) d)))) #s(literal 1 binary64))
(*.f64 a (/.f64 (+.f64 b c) d))
(*.f64 (*.f64 a (/.f64 (+.f64 b c) d)) #s(literal 1 binary64))
(*.f64 (+.f64 b c) (/.f64 a d))
(*.f64 (+.f64 b c) (*.f64 a (/.f64 #s(literal 1 binary64) d)))
(*.f64 (*.f64 a (+.f64 b c)) (/.f64 #s(literal 1 binary64) d))
(*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 (+.f64 b c) d)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 (+.f64 b c) d))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 (+.f64 b c) d))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 (+.f64 b c) d))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a (/.f64 (+.f64 b c) d))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) d))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) (/.f64 (+.f64 b c) d)))
(*.f64 (sqrt.f64 (*.f64 a (/.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (/.f64 (+.f64 b c) d))))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (/.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) d))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 (+.f64 b c) d)))
(*.f64 (*.f64 a (neg.f64 (+.f64 b c))) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 a (+.f64 b c)))
(*.f64 (/.f64 (+.f64 b c) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (*.f64 a (+.f64 b c)) (cbrt.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (/.f64 (*.f64 a (+.f64 b c)) (sqrt.f64 d)))
(*.f64 (/.f64 (+.f64 b c) (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 (+.f64 b c) d))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (+.f64 b c) (cbrt.f64 d)))
(*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 (+.f64 b c) (sqrt.f64 d)))
(*.f64 (/.f64 (+.f64 b c) #s(literal 1 binary64)) (/.f64 a d))
(*.f64 (/.f64 (+.f64 b c) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 a (cbrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 (*.f64 a (/.f64 (+.f64 b c) d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) #s(literal 2 binary64)) (sqrt.f64 d)) (/.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) d))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (cbrt.f64 d)))
(pow.f64 (*.f64 a (/.f64 (+.f64 b c) d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (/.f64 (+.f64 b c) d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (/.f64 (+.f64 b c) d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (/.f64 (+.f64 b c) d))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 d a) (+.f64 b c)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 a (+.f64 b c)) (neg.f64 d)))
(neg.f64 (/.f64 (*.f64 a (neg.f64 (+.f64 b c))) d))
(sqrt.f64 (pow.f64 (*.f64 a (/.f64 (+.f64 b c) d)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 (+.f64 b c) d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (/.f64 (+.f64 b c) d)))))
(cbrt.f64 (pow.f64 (*.f64 a (/.f64 (+.f64 b c) d)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a (/.f64 (+.f64 b c) d))))
(log1p.f64 (expm1.f64 (*.f64 a (/.f64 (+.f64 b c) d))))
(exp.f64 (log.f64 (*.f64 a (/.f64 (+.f64 b c) d))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 (+.f64 b c) d))) #s(literal 1 binary64)))
(+.f64 (*.f64 a d) (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d))))
(+.f64 (*.f64 a d) (*.f64 (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d))) #s(literal 1 binary64)))
(+.f64 (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d))) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (pow.f64 (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d))) (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d)))) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (*.f64 (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d))) (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d))))) (-.f64 (*.f64 a d) (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d)))))
(/.f64 (*.f64 d (+.f64 (pow.f64 (*.f64 a (/.f64 (+.f64 b c) d)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (*.f64 (*.f64 a (/.f64 (+.f64 b c) d)) (-.f64 (*.f64 a (/.f64 (+.f64 b c) d)) a))))
(/.f64 (*.f64 d (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 (+.f64 b c) d)) #s(literal 2 binary64)))) (-.f64 a (*.f64 a (/.f64 (+.f64 b c) d))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 (+.f64 b c) d)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) d) (fma.f64 a a (*.f64 (*.f64 a (/.f64 (+.f64 b c) d)) (-.f64 (*.f64 a (/.f64 (+.f64 b c) d)) a))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 (+.f64 b c) d)) #s(literal 2 binary64))) d) (-.f64 a (*.f64 a (/.f64 (+.f64 b c) d))))
(pow.f64 (*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 a (/.f64 (+.f64 b c) d) a)) d))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a)))))
(cbrt.f64 (pow.f64 (*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (fma.f64 a (/.f64 (+.f64 b c) d) a) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (/.f64 (+.f64 b c) d) a) #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a))))
(log1p.f64 (expm1.f64 (*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a))))
(exp.f64 (log.f64 (*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a))))
(exp.f64 (*.f64 (log.f64 (*.f64 d (fma.f64 a (/.f64 (+.f64 b c) d) a))) #s(literal 1 binary64)))
(fma.f64 a d (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d))))
(fma.f64 d a (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d))))
(fma.f64 #s(literal 1 binary64) (*.f64 a d) (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a d)) (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d))))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 d (*.f64 a (/.f64 (+.f64 b c) d))))
(+.f64 (*.f64 a d) (*.f64 a c))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64)) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 c d)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (*.f64 (*.f64 a c) (*.f64 a d)))))
(/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))) (-.f64 (*.f64 a c) (*.f64 a d)))
(/.f64 (*.f64 a (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (fma.f64 c c (*.f64 d (-.f64 d c))))
(/.f64 (*.f64 a (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (-.f64 c d))
(/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) a) (fma.f64 c c (*.f64 d (-.f64 d c))))
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) a) (-.f64 c d))
(pow.f64 (*.f64 a (+.f64 c d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (+.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 c d))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 c d)) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (+.f64 c d)))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (+.f64 c d) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 c d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 c d))))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 c d))))
(exp.f64 (log.f64 (*.f64 a (+.f64 c d))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 c d))) #s(literal 1 binary64)))
(fma.f64 a c (*.f64 a d))
(fma.f64 c a (*.f64 a d))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a c) (*.f64 a b))
(+.f64 (*.f64 (*.f64 a b) #s(literal 1 binary64)) (*.f64 (*.f64 a c) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b c)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a b) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a b) (*.f64 a c)))
(/.f64 (*.f64 a (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 c c (*.f64 b (-.f64 b c))))
(/.f64 (*.f64 a (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b b (*.f64 c (-.f64 c b))))
(/.f64 (*.f64 a (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (-.f64 c b))
(/.f64 (*.f64 a (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (-.f64 b c))
(/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (fma.f64 c c (*.f64 b (-.f64 b c))))
(/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (fma.f64 b b (*.f64 c (-.f64 c b))))
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) a) (-.f64 c b))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) a) (-.f64 b c))
(pow.f64 (*.f64 a (+.f64 b c)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b c)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (+.f64 b c)))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b c))))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b c))))
(exp.f64 (log.f64 (*.f64 a (+.f64 b c))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b c))) #s(literal 1 binary64)))
(fma.f64 a b (*.f64 a c))
(fma.f64 b a (*.f64 a c))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 b c) d))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 b c) d))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (*.f64 a (+.f64 b (+.f64 c d))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b (+.f64 c d))))
(*.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) (+.f64 b (+.f64 c d))))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 2 binary64)) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (+.f64 b c) d))))
(*.f64 (+.f64 b (+.f64 c d)) a)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 2 binary64)) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))) (+.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 (+.f64 b c) d)) (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 2 binary64)) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))))
(/.f64 (+.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 2 binary64)) (*.f64 a (*.f64 (+.f64 b c) (*.f64 a d))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))) (*.f64 a (-.f64 (+.f64 b c) d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 2 binary64)) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64)))) (neg.f64 (*.f64 a (-.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (pow.f64 (*.f64 a (+.f64 b c)) #s(literal 2 binary64))) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))
(pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) #s(literal 1 binary64)))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(fma.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b c)) (*.f64 a d))
(fma.f64 #s(literal 1 binary64) (*.f64 a d) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a d))) #s(literal 1 binary64))
(pow.f64 (*.f64 a d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) d))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a d))))
(cbrt.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a d)))
(log1p.f64 (expm1.f64 (*.f64 a d)))
(exp.f64 (log.f64 (*.f64 a d)))
(exp.f64 (*.f64 (log.f64 (*.f64 a d)) #s(literal 1 binary64)))

simplify193.0ms (3.2%)

Algorithm
egg-herbie
Rules
648×fma-neg
465×associate-*r*
402×associate-*l*
369×fma-define
252×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054014814
1148513429
2588113133
Stop Event
node limit
Counts
351 → 301
Calls
Call 1
Inputs
(/.f64 (*.f64 a c) d)
(+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))
(+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))
(+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))
(/.f64 (*.f64 a b) d)
(*.f64 b (+.f64 (/.f64 a d) (/.f64 (*.f64 a c) (*.f64 b d))))
(*.f64 b (+.f64 (/.f64 a d) (/.f64 (*.f64 a c) (*.f64 b d))))
(*.f64 b (+.f64 (/.f64 a d) (/.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (*.f64 a b) d)
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b d))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b d))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b d))))))
(/.f64 (*.f64 a b) d)
(+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))
(+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))
(+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))
(/.f64 (*.f64 a c) d)
(*.f64 c (+.f64 (/.f64 a d) (/.f64 (*.f64 a b) (*.f64 c d))))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 (*.f64 a b) (*.f64 c d))))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 (*.f64 a b) (*.f64 c d))))
(/.f64 (*.f64 a c) d)
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) (*.f64 c d))))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) (*.f64 c d))))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) (*.f64 c d))))))
(*.f64 a (+.f64 b c))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a d)
(*.f64 a d)
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64)))))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(+.f64 (*.f64 a b) (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))))
(+.f64 (*.f64 a b) (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))))
(+.f64 (*.f64 a b) (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))))
(*.f64 a b)
(*.f64 b (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))
(*.f64 b (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))
(*.f64 b (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))
(*.f64 a b)
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))))
(*.f64 d (+.f64 a (/.f64 (*.f64 a b) d)))
(+.f64 (*.f64 a c) (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))))
(+.f64 (*.f64 a c) (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))))
(+.f64 (*.f64 a c) (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))))
(*.f64 a c)
(*.f64 c (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))
(*.f64 a c)
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a c)
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 a c)
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a d)
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(*.f64 a d)
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a b)
(*.f64 b (+.f64 a (/.f64 (*.f64 a c) b)))
(*.f64 b (+.f64 a (/.f64 (*.f64 a c) b)))
(*.f64 b (+.f64 a (/.f64 (*.f64 a c) b)))
(*.f64 a b)
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) b)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) b)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) b)))))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a c)
(*.f64 c (+.f64 a (/.f64 (*.f64 a b) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a b) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a b) c)))
(*.f64 a c)
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) c)))))
(+.f64 (*.f64 a b) (*.f64 a d))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(*.f64 a c)
(*.f64 c (+.f64 a (+.f64 (/.f64 (*.f64 a b) c) (/.f64 (*.f64 a d) c))))
(*.f64 c (+.f64 a (+.f64 (/.f64 (*.f64 a b) c) (/.f64 (*.f64 a d) c))))
(*.f64 c (+.f64 a (+.f64 (/.f64 (*.f64 a b) c) (/.f64 (*.f64 a d) c))))
(*.f64 a c)
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 a b) (*.f64 a d)) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 a b) (*.f64 a d)) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 a b) (*.f64 a d)) c)))))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(*.f64 a b)
(*.f64 b (+.f64 a (+.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a d) b))))
(*.f64 b (+.f64 a (+.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a d) b))))
(*.f64 b (+.f64 a (+.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a d) b))))
(*.f64 a b)
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 a c) (*.f64 a d)) b)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 a c) (*.f64 a d)) b)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 a c) (*.f64 a d)) b)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) d) (*.f64 #s(literal -1 binary64) (+.f64 b c)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) d) (*.f64 #s(literal -1 binary64) (+.f64 b c)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) d) (*.f64 #s(literal -1 binary64) (+.f64 b c)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) d) (*.f64 #s(literal -1 binary64) (+.f64 b c)))))
(*.f64 a (+.f64 b c))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
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(pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) #s(literal 1 binary64)))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(fma.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b c)) (*.f64 a d))
(fma.f64 #s(literal 1 binary64) (*.f64 a d) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a d))) #s(literal 1 binary64))
(pow.f64 (*.f64 a d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) d))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a d))))
(cbrt.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a d)))
(log1p.f64 (expm1.f64 (*.f64 a d)))
(exp.f64 (log.f64 (*.f64 a d)))
(exp.f64 (*.f64 (log.f64 (*.f64 a d)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 a c) d)
(*.f64 a (/.f64 c d))
(+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))
(+.f64 (*.f64 a (/.f64 c d)) (*.f64 a (/.f64 b d)))
(*.f64 a (/.f64 (+.f64 c b) d))
(+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))
(+.f64 (*.f64 a (/.f64 c d)) (*.f64 a (/.f64 b d)))
(*.f64 a (/.f64 (+.f64 c b) d))
(+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))
(+.f64 (*.f64 a (/.f64 c d)) (*.f64 a (/.f64 b d)))
(*.f64 a (/.f64 (+.f64 c b) d))
(/.f64 (*.f64 a b) d)
(*.f64 a (/.f64 b d))
(*.f64 b (+.f64 (/.f64 a d) (/.f64 (*.f64 a c) (*.f64 b d))))
(*.f64 b (+.f64 (/.f64 a d) (*.f64 a (/.f64 c (*.f64 d b)))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 d b)) (/.f64 a d)))
(*.f64 b (+.f64 (/.f64 a d) (/.f64 (*.f64 a c) (*.f64 b d))))
(*.f64 b (+.f64 (/.f64 a d) (*.f64 a (/.f64 c (*.f64 d b)))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 d b)) (/.f64 a d)))
(*.f64 b (+.f64 (/.f64 a d) (/.f64 (*.f64 a c) (*.f64 b d))))
(*.f64 b (+.f64 (/.f64 a d) (*.f64 a (/.f64 c (*.f64 d b)))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 d b)) (/.f64 a d)))
(/.f64 (*.f64 a b) d)
(*.f64 a (/.f64 b d))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b d))))))
(*.f64 b (+.f64 (/.f64 a d) (*.f64 a (/.f64 c (*.f64 d b)))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 d b)) (/.f64 a d)))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b d))))))
(*.f64 b (+.f64 (/.f64 a d) (*.f64 a (/.f64 c (*.f64 d b)))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 d b)) (/.f64 a d)))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b d))))))
(*.f64 b (+.f64 (/.f64 a d) (*.f64 a (/.f64 c (*.f64 d b)))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 d b)) (/.f64 a d)))
(/.f64 (*.f64 a b) d)
(*.f64 a (/.f64 b d))
(+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))
(+.f64 (*.f64 a (/.f64 c d)) (*.f64 a (/.f64 b d)))
(*.f64 a (/.f64 (+.f64 c b) d))
(+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))
(+.f64 (*.f64 a (/.f64 c d)) (*.f64 a (/.f64 b d)))
(*.f64 a (/.f64 (+.f64 c b) d))
(+.f64 (/.f64 (*.f64 a b) d) (/.f64 (*.f64 a c) d))
(+.f64 (*.f64 a (/.f64 c d)) (*.f64 a (/.f64 b d)))
(*.f64 a (/.f64 (+.f64 c b) d))
(/.f64 (*.f64 a c) d)
(*.f64 a (/.f64 c d))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 (*.f64 a b) (*.f64 c d))))
(*.f64 c (+.f64 (/.f64 a d) (*.f64 a (/.f64 b (*.f64 c d)))))
(*.f64 c (fma.f64 a (/.f64 b (*.f64 c d)) (/.f64 a d)))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 (*.f64 a b) (*.f64 c d))))
(*.f64 c (+.f64 (/.f64 a d) (*.f64 a (/.f64 b (*.f64 c d)))))
(*.f64 c (fma.f64 a (/.f64 b (*.f64 c d)) (/.f64 a d)))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 (*.f64 a b) (*.f64 c d))))
(*.f64 c (+.f64 (/.f64 a d) (*.f64 a (/.f64 b (*.f64 c d)))))
(*.f64 c (fma.f64 a (/.f64 b (*.f64 c d)) (/.f64 a d)))
(/.f64 (*.f64 a c) d)
(*.f64 a (/.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) (*.f64 c d))))))
(*.f64 c (+.f64 (/.f64 a d) (*.f64 a (/.f64 b (*.f64 c d)))))
(*.f64 c (fma.f64 a (/.f64 b (*.f64 c d)) (/.f64 a d)))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) (*.f64 c d))))))
(*.f64 c (+.f64 (/.f64 a d) (*.f64 a (/.f64 b (*.f64 c d)))))
(*.f64 c (fma.f64 a (/.f64 b (*.f64 c d)) (/.f64 a d)))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) (*.f64 c d))))))
(*.f64 c (+.f64 (/.f64 a d) (*.f64 a (/.f64 b (*.f64 c d)))))
(*.f64 c (fma.f64 a (/.f64 b (*.f64 c d)) (/.f64 a d)))
(*.f64 a (+.f64 b c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a d)
(*.f64 a d)
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (+.f64 b c)) d)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 (*.f64 a d) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 (*.f64 a d) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 (*.f64 a d) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 (*.f64 a d) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 (*.f64 a d) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 (*.f64 a d) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 (*.f64 a d) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 (*.f64 a d) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b c) d)) #s(literal 1 binary64)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(*.f64 d (+.f64 a (*.f64 a (/.f64 c d))))
(*.f64 d (fma.f64 a (/.f64 c d) a))
(+.f64 (*.f64 a b) (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))))
(fma.f64 a b (*.f64 d (+.f64 a (*.f64 a (/.f64 c d)))))
(fma.f64 d (fma.f64 a (/.f64 c d) a) (*.f64 a b))
(+.f64 (*.f64 a b) (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))))
(fma.f64 a b (*.f64 d (+.f64 a (*.f64 a (/.f64 c d)))))
(fma.f64 d (fma.f64 a (/.f64 c d) a) (*.f64 a b))
(+.f64 (*.f64 a b) (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))))
(fma.f64 a b (*.f64 d (+.f64 a (*.f64 a (/.f64 c d)))))
(fma.f64 d (fma.f64 a (/.f64 c d) a) (*.f64 a b))
(*.f64 a b)
(*.f64 b (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))
(*.f64 b (+.f64 a (*.f64 d (/.f64 (+.f64 a (*.f64 a (/.f64 c d))) b))))
(*.f64 b (fma.f64 d (/.f64 (fma.f64 a (/.f64 c d) a) b) a))
(*.f64 b (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))
(*.f64 b (+.f64 a (*.f64 d (/.f64 (+.f64 a (*.f64 a (/.f64 c d))) b))))
(*.f64 b (fma.f64 d (/.f64 (fma.f64 a (/.f64 c d) a) b) a))
(*.f64 b (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))
(*.f64 b (+.f64 a (*.f64 d (/.f64 (+.f64 a (*.f64 a (/.f64 c d))) b))))
(*.f64 b (fma.f64 d (/.f64 (fma.f64 a (/.f64 c d) a) b) a))
(*.f64 a b)
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))))
(*.f64 b (+.f64 a (*.f64 d (/.f64 (+.f64 a (*.f64 a (/.f64 c d))) b))))
(*.f64 b (fma.f64 d (/.f64 (fma.f64 a (/.f64 c d) a) b) a))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))))
(*.f64 b (+.f64 a (*.f64 d (/.f64 (+.f64 a (*.f64 a (/.f64 c d))) b))))
(*.f64 b (fma.f64 d (/.f64 (fma.f64 a (/.f64 c d) a) b) a))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d))) b)))))
(*.f64 b (+.f64 a (*.f64 d (/.f64 (+.f64 a (*.f64 a (/.f64 c d))) b))))
(*.f64 b (fma.f64 d (/.f64 (fma.f64 a (/.f64 c d) a) b) a))
(*.f64 d (+.f64 a (/.f64 (*.f64 a b) d)))
(*.f64 d (+.f64 a (*.f64 a (/.f64 b d))))
(*.f64 d (fma.f64 a (/.f64 b d) a))
(+.f64 (*.f64 a c) (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))))
(fma.f64 a c (*.f64 d (+.f64 a (*.f64 a (/.f64 b d)))))
(fma.f64 a c (*.f64 d (fma.f64 a (/.f64 b d) a)))
(+.f64 (*.f64 a c) (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))))
(fma.f64 a c (*.f64 d (+.f64 a (*.f64 a (/.f64 b d)))))
(fma.f64 a c (*.f64 d (fma.f64 a (/.f64 b d) a)))
(+.f64 (*.f64 a c) (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))))
(fma.f64 a c (*.f64 d (+.f64 a (*.f64 a (/.f64 b d)))))
(fma.f64 a c (*.f64 d (fma.f64 a (/.f64 b d) a)))
(*.f64 a c)
(*.f64 c (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))
(*.f64 c (+.f64 a (*.f64 d (/.f64 (+.f64 a (*.f64 a (/.f64 b d))) c))))
(*.f64 c (fma.f64 d (/.f64 (fma.f64 a (/.f64 b d) a) c) a))
(*.f64 c (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))
(*.f64 c (+.f64 a (*.f64 d (/.f64 (+.f64 a (*.f64 a (/.f64 b d))) c))))
(*.f64 c (fma.f64 d (/.f64 (fma.f64 a (/.f64 b d) a) c) a))
(*.f64 c (+.f64 a (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))
(*.f64 c (+.f64 a (*.f64 d (/.f64 (+.f64 a (*.f64 a (/.f64 b d))) c))))
(*.f64 c (fma.f64 d (/.f64 (fma.f64 a (/.f64 b d) a) c) a))
(*.f64 a c)
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))))
(*.f64 c (+.f64 a (*.f64 d (/.f64 (+.f64 a (*.f64 a (/.f64 b d))) c))))
(*.f64 c (fma.f64 d (/.f64 (fma.f64 a (/.f64 b d) a) c) a))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))))
(*.f64 c (+.f64 a (*.f64 d (/.f64 (+.f64 a (*.f64 a (/.f64 b d))) c))))
(*.f64 c (fma.f64 d (/.f64 (fma.f64 a (/.f64 b d) a) c) a))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (+.f64 a (/.f64 (*.f64 a b) d))) c)))))
(*.f64 c (+.f64 a (*.f64 d (/.f64 (+.f64 a (*.f64 a (/.f64 b d))) c))))
(*.f64 c (fma.f64 d (/.f64 (fma.f64 a (/.f64 b d) a) c) a))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a c)
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 a c)
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(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) #s(literal 3 binary64)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(expm1.f64 (log1p.f64 (*.f64 d (fma.f64 a (/.f64 (+.f64 c b) d) a))))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 c (+.f64 d b)))))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) #s(literal 1 binary64)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b c)) (*.f64 a d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 #s(literal 1 binary64) (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a d))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 a d)))
(pow.f64 (*.f64 a d) #s(literal 1 binary64))
(*.f64 a d)
(pow.f64 (cbrt.f64 (*.f64 a d)) #s(literal 3 binary64))
(*.f64 a d)
(pow.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 a d)
(pow.f64 (sqrt.f64 (*.f64 a d)) #s(literal 2 binary64))
(*.f64 a d)
(sqrt.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)))
(*.f64 a d)
(log.f64 (pow.f64 (exp.f64 a) d))
(*.f64 a d)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a d))))
(*.f64 a d)
(cbrt.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)))
(*.f64 a d)
(expm1.f64 (log1p.f64 (*.f64 a d)))
(log1p.f64 (expm1.f64 (*.f64 a d)))
(*.f64 a d)
(exp.f64 (log.f64 (*.f64 a d)))
(*.f64 a d)
(exp.f64 (*.f64 (log.f64 (*.f64 a d)) #s(literal 1 binary64)))
(*.f64 a d)

eval47.0ms (0.8%)

Compiler

Compiled 4710 to 1557 computations (66.9% saved)

prune52.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2992301
Fresh000
Picked224
Done011
Total3015306
Accuracy
100.0%
Counts
306 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 (*.f64 a d) (*.f64 a c))
99.5%
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
99.9%
(*.f64 a (+.f64 c (+.f64 b d)))
99.5%
(*.f64 a (+.f64 c d))
93.2%
(*.f64 a d)
Compiler

Compiled 51 to 33 computations (35.3% saved)

localize209.0ms (3.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (*.f64 a c) d)
cost-diff128
(+.f64 (*.f64 a d) (*.f64 a c))
cost-diff256
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
accuracy100.0%
(+.f64 a (/.f64 (*.f64 a c) d))
accuracy99.9%
(+.f64 (*.f64 a d) (*.f64 a c))
accuracy99.9%
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
accuracy99.6%
(/.f64 (*.f64 a c) d)
Rules
2286×associate-/l/
1630×associate-/l*
1025×associate-/r*
534×fma-define
347×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
015196
131184
254184
385168
4124156
5143156
6271156
7857156
82194156
92902156
103130156
113214156
123215156
133215156
144112156
154136156
164137156
174137156
186045156
196324156
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
d
(+.f64 a (/.f64 (*.f64 a c) d))
a
(/.f64 (*.f64 a c) d)
(*.f64 a c)
c
(+.f64 (*.f64 a d) (*.f64 a c))
(*.f64 a d)
a
d
(*.f64 a c)
c
Outputs
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(*.f64 d (+.f64 a (*.f64 a (/.f64 c d))))
(*.f64 d (fma.f64 a (/.f64 c d) a))
(*.f64 a (+.f64 d (*.f64 c #s(literal 1 binary64))))
(*.f64 a (+.f64 d c))
d
(+.f64 a (/.f64 (*.f64 a c) d))
(+.f64 a (*.f64 a (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(fma.f64 c (/.f64 a d) a)
a
(/.f64 (*.f64 a c) d)
(*.f64 a (/.f64 c d))
(*.f64 c (/.f64 a d))
(*.f64 a c)
c
(+.f64 (*.f64 a d) (*.f64 a c))
(*.f64 d (+.f64 a (*.f64 a (/.f64 c d))))
(*.f64 d (fma.f64 a (/.f64 c d) a))
(*.f64 a (+.f64 d (*.f64 c #s(literal 1 binary64))))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(*.f64 d a)
a
d
(*.f64 a c)
c
Results
30.0ms256×0valid
Compiler

Compiled 48 to 11 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (55.8% of total)
ival-div: 3.0ms (23.9% of total)
ival-add: 2.0ms (15.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series16.0ms (0.3%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 a c) d)>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))>
#<alt (+.f64 (*.f64 a d) (*.f64 a c))>
#<alt (+.f64 a (/.f64 (*.f64 a c) d))>
#<alt (*.f64 a c)>
Outputs
#<alt (*.f64 a c)>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (*.f64 a d)>
#<alt (*.f64 a d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))>
#<alt (*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64)))))>
#<alt (*.f64 a d)>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (*.f64 a c)>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))>
#<alt (*.f64 a c)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))>
#<alt (*.f64 a (+.f64 c d))>
#<alt (*.f64 a (+.f64 c d))>
#<alt (*.f64 a (+.f64 c d))>
#<alt (*.f64 a (+.f64 c d))>
#<alt (*.f64 a (+.f64 c d))>
#<alt (*.f64 a (+.f64 c d))>
#<alt (*.f64 a (+.f64 c d))>
#<alt (*.f64 a (+.f64 c d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) d))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) d))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) d))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) d))))>
#<alt (*.f64 a c)>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (*.f64 a d)>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))>
#<alt (*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))>
#<alt (*.f64 a d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (*.f64 a d)>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (+.f64 (*.f64 a c) (*.f64 a d))>
#<alt (*.f64 a c)>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))>
#<alt (*.f64 a c)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64))))>
#<alt a>
#<alt (/.f64 (*.f64 a c) d)>
#<alt (*.f64 c (+.f64 (/.f64 a c) (/.f64 a d)))>
#<alt (*.f64 c (+.f64 (/.f64 a c) (/.f64 a d)))>
#<alt (*.f64 c (+.f64 (/.f64 a c) (/.f64 a d)))>
#<alt (/.f64 (*.f64 a c) d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c)) (*.f64 #s(literal -1 binary64) (/.f64 a d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c)) (*.f64 #s(literal -1 binary64) (/.f64 a d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c)) (*.f64 #s(literal -1 binary64) (/.f64 a d)))))>
#<alt (/.f64 (*.f64 a c) d)>
#<alt (/.f64 (+.f64 (*.f64 a c) (*.f64 a d)) d)>
#<alt (/.f64 (+.f64 (*.f64 a c) (*.f64 a d)) d)>
#<alt (/.f64 (+.f64 (*.f64 a c) (*.f64 a d)) d)>
#<alt a>
#<alt a>
Calls

42 calls:

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

rewrite208.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
809×log1p-expm1-u
809×expm1-log1p-u
589×fma-define
315×fma-neg
200×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015128
1223120
23496120
Stop Event
node limit
Counts
5 → 276
Calls
Call 1
Inputs
(/.f64 (*.f64 a c) d)
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(+.f64 (*.f64 a d) (*.f64 a c))
(+.f64 a (/.f64 (*.f64 a c) d))
(*.f64 a c)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 c d)))) #s(literal 1 binary64))
(*.f64 a (/.f64 c d))
(*.f64 c (/.f64 a d))
(*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) d)))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) d))
(*.f64 (*.f64 a (/.f64 c d)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 c d)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a (/.f64 c d))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 a c)) d))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) (/.f64 c d)))
(*.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 (*.f64 a (/.f64 c d))))
(*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 (*.f64 a c)) d))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 c d)))
(*.f64 (*.f64 a (neg.f64 c)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 a c))
(*.f64 (/.f64 c d) a)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (*.f64 a c) (cbrt.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (/.f64 (*.f64 a c) (sqrt.f64 d)))
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 c d))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 c (cbrt.f64 d)))
(*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 c (sqrt.f64 d)))
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 a (cbrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 a c)) d))
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(fma.f64 (*.f64 d (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 c) (*.f64 a d))
(fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 a d))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 a d))
(fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a (/.f64 c d) a))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 a (*.f64 a (/.f64 c d)))) (/.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)) (-.f64 a (*.f64 a (/.f64 c d)))))
(*.f64 (fma.f64 a (/.f64 c d) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) a))
(*.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) a)) (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) a)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) a)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a (/.f64 c d) a)))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) a)) (sqrt.f64 (fma.f64 a (/.f64 c d) a)))
(*.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) a) (pow.f64 a #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a (*.f64 a (/.f64 c d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) a) (pow.f64 a #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (*.f64 a (/.f64 c d))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) a) (pow.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 c d)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64))) (-.f64 a (*.f64 a (/.f64 c d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) a) (pow.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (*.f64 a (/.f64 c d)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (-.f64 (*.f64 a (/.f64 c d)) a))
(pow.f64 (fma.f64 a (/.f64 c d) a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (/.f64 c d) a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) a)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) a) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a (/.f64 c d) a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a (/.f64 c d) a))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (/.f64 c d))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (pow.f64 (exp.f64 a) (/.f64 c d))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (/.f64 c d))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 a) (/.f64 c d)) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (/.f64 c d)))) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (/.f64 c d)))) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a (/.f64 c d) a)))
(log1p.f64 (expm1.f64 (fma.f64 a (/.f64 c d) a)))
(exp.f64 (log.f64 (fma.f64 a (/.f64 c d) a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (/.f64 c d) a)) #s(literal 1 binary64)))
(fma.f64 a #s(literal 1 binary64) (*.f64 a (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(fma.f64 c (/.f64 a d) a)
(fma.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) d)) a)
(fma.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) d) a)
(fma.f64 (*.f64 a (/.f64 c d)) #s(literal 1 binary64) a)
(fma.f64 #s(literal 1 binary64) a (*.f64 a (/.f64 c d)))
(fma.f64 #s(literal 1 binary64) (*.f64 a (/.f64 c d)) a)
(fma.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) #s(literal 2 binary64)) a)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a (/.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 a c)) d) a)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) d)) a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 a (/.f64 c d)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (*.f64 a (/.f64 c d)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) (/.f64 c d)) a)
(fma.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 (*.f64 a (/.f64 c d))) a)
(fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 (*.f64 a c)) d) a)
(fma.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) d)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (/.f64 c d)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 c d)) a)
(fma.f64 (*.f64 a (neg.f64 c)) (/.f64 #s(literal 1 binary64) (neg.f64 d)) a)
(fma.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 a c) a)
(fma.f64 (/.f64 c d) a a)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (*.f64 a c) (cbrt.f64 d)) a)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (/.f64 (*.f64 a c) (sqrt.f64 d)) a)
(fma.f64 (/.f64 c (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)) a)
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 c d) a)
(fma.f64 (/.f64 a (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 c (cbrt.f64 d)) a)
(fma.f64 (/.f64 a (sqrt.f64 d)) (/.f64 c (sqrt.f64 d)) a)
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d) a)
(fma.f64 (/.f64 c (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 a (cbrt.f64 d)) a)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 a c)) d) a)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 (*.f64 a (/.f64 c d))) a)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (sqrt.f64 d)) (/.f64 (cbrt.f64 (*.f64 a c)) (sqrt.f64 d)) a)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a c)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 a c)) d) a)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 a c)) (cbrt.f64 d)) a)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a c))) #s(literal 1 binary64))
(pow.f64 (*.f64 a c) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a c)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 c) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a c))))
(cbrt.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a c)))
(log1p.f64 (expm1.f64 (*.f64 a c)))
(exp.f64 (log.f64 (*.f64 a c)))
(exp.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 1 binary64)))

simplify154.0ms (2.6%)

Algorithm
egg-herbie
Rules
484×distribute-lft-neg-in
457×fma-neg
455×distribute-rgt-neg-in
297×associate-*r*
277×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056211806
1134710730
2419710706
Stop Event
node limit
Counts
372 → 313
Calls
Call 1
Inputs
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a d)
(*.f64 a d)
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64)))))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a c)
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 a c)
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) d))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) d))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) d))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) d))))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a d)
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(*.f64 a d)
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a c)
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 a c)
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64))))
a
(/.f64 (*.f64 a c) d)
(*.f64 c (+.f64 (/.f64 a c) (/.f64 a d)))
(*.f64 c (+.f64 (/.f64 a c) (/.f64 a d)))
(*.f64 c (+.f64 (/.f64 a c) (/.f64 a d)))
(/.f64 (*.f64 a c) d)
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c)) (*.f64 #s(literal -1 binary64) (/.f64 a d)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c)) (*.f64 #s(literal -1 binary64) (/.f64 a d)))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c)) (*.f64 #s(literal -1 binary64) (/.f64 a d)))))
(/.f64 (*.f64 a c) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 a d)) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 a d)) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 a d)) d)
a
a
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 c d)))) #s(literal 1 binary64))
(*.f64 a (/.f64 c d))
(*.f64 c (/.f64 a d))
(*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) d)))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) d))
(*.f64 (*.f64 a (/.f64 c d)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 c d)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a (/.f64 c d))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 a c)) d))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) (/.f64 c d)))
(*.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 (*.f64 a (/.f64 c d))))
(*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 (*.f64 a c)) d))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 c d)))
(*.f64 (*.f64 a (neg.f64 c)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 a c))
(*.f64 (/.f64 c d) a)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (*.f64 a c) (cbrt.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (/.f64 (*.f64 a c) (sqrt.f64 d)))
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 c d))
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(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (*.f64 a d))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 a (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 d (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 c) (*.f64 a d))
(fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 a d))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 a d))
(fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a (/.f64 c d) a))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 a (*.f64 a (/.f64 c d)))) (/.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)) (-.f64 a (*.f64 a (/.f64 c d)))))
(*.f64 (fma.f64 a (/.f64 c d) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) a))
(*.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) a)) (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) a)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) a)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a (/.f64 c d) a)))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) a)) (sqrt.f64 (fma.f64 a (/.f64 c d) a)))
(*.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) a) (pow.f64 a #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a (*.f64 a (/.f64 c d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) a) (pow.f64 a #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (*.f64 a (/.f64 c d))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) a) (pow.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 c d)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64))) (-.f64 a (*.f64 a (/.f64 c d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) a) (pow.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (*.f64 a (/.f64 c d)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (-.f64 (*.f64 a (/.f64 c d)) a))
(pow.f64 (fma.f64 a (/.f64 c d) a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (/.f64 c d) a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) a)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) a) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a (/.f64 c d) a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a (/.f64 c d) a))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (/.f64 c d))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (pow.f64 (exp.f64 a) (/.f64 c d))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (/.f64 c d))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 a) (/.f64 c d)) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (/.f64 c d)))) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (/.f64 c d)))) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a (/.f64 c d) a)))
(log1p.f64 (expm1.f64 (fma.f64 a (/.f64 c d) a)))
(exp.f64 (log.f64 (fma.f64 a (/.f64 c d) a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (/.f64 c d) a)) #s(literal 1 binary64)))
(fma.f64 a #s(literal 1 binary64) (*.f64 a (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(fma.f64 c (/.f64 a d) a)
(fma.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) d)) a)
(fma.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) d) a)
(fma.f64 (*.f64 a (/.f64 c d)) #s(literal 1 binary64) a)
(fma.f64 #s(literal 1 binary64) a (*.f64 a (/.f64 c d)))
(fma.f64 #s(literal 1 binary64) (*.f64 a (/.f64 c d)) a)
(fma.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) #s(literal 2 binary64)) a)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a (/.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 a c)) d) a)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) d)) a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 a (/.f64 c d)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (*.f64 a (/.f64 c d)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) (/.f64 c d)) a)
(fma.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 (*.f64 a (/.f64 c d))) a)
(fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 (*.f64 a c)) d) a)
(fma.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) d)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (/.f64 c d)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 c d)) a)
(fma.f64 (*.f64 a (neg.f64 c)) (/.f64 #s(literal 1 binary64) (neg.f64 d)) a)
(fma.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 a c) a)
(fma.f64 (/.f64 c d) a a)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (*.f64 a c) (cbrt.f64 d)) a)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (/.f64 (*.f64 a c) (sqrt.f64 d)) a)
(fma.f64 (/.f64 c (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)) a)
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 c d) a)
(fma.f64 (/.f64 a (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 c (cbrt.f64 d)) a)
(fma.f64 (/.f64 a (sqrt.f64 d)) (/.f64 c (sqrt.f64 d)) a)
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d) a)
(fma.f64 (/.f64 c (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 a (cbrt.f64 d)) a)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 a c)) d) a)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 (*.f64 a (/.f64 c d))) a)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (sqrt.f64 d)) (/.f64 (cbrt.f64 (*.f64 a c)) (sqrt.f64 d)) a)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a c)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 a c)) d) a)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 a c)) (cbrt.f64 d)) a)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a c))) #s(literal 1 binary64))
(pow.f64 (*.f64 a c) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a c)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 c) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a c))))
(cbrt.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a c)))
(log1p.f64 (expm1.f64 (*.f64 a c)))
(exp.f64 (log.f64 (*.f64 a c)))
(exp.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 1 binary64)))
Outputs
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(*.f64 a d)
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 a (+.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 a (+.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 a (+.f64 c d))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (+.f64 c d))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (+.f64 c d))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (+.f64 c d))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (+.f64 c d))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (+.f64 c d))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (+.f64 c d))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (+.f64 c d))
(*.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(*.f64 a (+.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64)))))
(*.f64 a (+.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64)))))
(*.f64 a (+.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64)))))
(*.f64 a (+.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64)))))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a c)
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 a c)
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) d))))
(*.f64 a (+.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) d))))
(*.f64 a (+.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) d))))
(*.f64 a (+.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) d))))
(*.f64 a (+.f64 c d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(*.f64 a (+.f64 c d))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(*.f64 a (+.f64 c d))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 a (+.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 a (+.f64 c d))
(*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a c)
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 c (+.f64 a (/.f64 (*.f64 a d) c)))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 a c)
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(*.f64 c (+.f64 a (*.f64 a (/.f64 d c))))
(*.f64 c (fma.f64 a (/.f64 d c) a))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) #s(literal 1 binary64))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
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(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a c)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 a c)) d) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 a c)) (cbrt.f64 d)) a)
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c d)))
(fma.f64 a (/.f64 c d) a)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a c))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 a c)))
(pow.f64 (*.f64 a c) #s(literal 1 binary64))
(*.f64 a c)
(pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 3 binary64))
(*.f64 a c)
(pow.f64 (sqrt.f64 (*.f64 a c)) #s(literal 2 binary64))
(*.f64 a c)
(pow.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 a c)
(sqrt.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)))
(*.f64 a c)
(log.f64 (pow.f64 (exp.f64 c) a))
(*.f64 a c)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a c))))
(*.f64 a c)
(cbrt.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)))
(*.f64 a c)
(expm1.f64 (log1p.f64 (*.f64 a c)))
(log1p.f64 (expm1.f64 (*.f64 a c)))
(*.f64 a c)
(exp.f64 (log.f64 (*.f64 a c)))
(*.f64 a c)
(exp.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 1 binary64)))
(*.f64 a c)

eval50.0ms (0.8%)

Compiler

Compiled 4683 to 1487 computations (68.2% saved)

prune60.0ms (1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3260326
Fresh000
Picked022
Done033
Total3265331
Accuracy
100.0%
Counts
331 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 (*.f64 a d) (*.f64 a c))
99.5%
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
99.9%
(*.f64 a (+.f64 c (+.f64 b d)))
99.5%
(*.f64 a (+.f64 c d))
93.2%
(*.f64 a d)
Compiler

Compiled 113 to 59 computations (47.8% saved)

regimes23.0ms (0.4%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 a d)
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (*.f64 a d) (*.f64 a c))
(*.f64 d (+.f64 a (/.f64 (*.f64 a c) d)))
(+.f64 (*.f64 (+.f64 c b) a) (*.f64 d a))
(*.f64 d (+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d)))
Outputs
(+.f64 (*.f64 (+.f64 c b) a) (*.f64 d a))
Calls

7 calls:

5.0ms
a
4.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
3.0ms
(+.f64 b c)
3.0ms
(+.f64 (+.f64 b c) d)
3.0ms
b
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1c
99.9%1d
99.9%1(*.f64 a (+.f64 (+.f64 b c) d))
99.9%1(+.f64 (+.f64 b c) d)
99.9%1(+.f64 b c)
Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes17.0ms (0.3%)

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

7 calls:

4.0ms
c
2.0ms
(+.f64 b c)
2.0ms
b
2.0ms
a
2.0ms
(+.f64 (+.f64 b c) d)
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1c
99.9%1d
99.9%1(*.f64 a (+.f64 (+.f64 b c) d))
99.9%1(+.f64 (+.f64 b c) d)
99.9%1(+.f64 b c)
Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes7.0ms (0.1%)

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

4 calls:

2.0ms
a
1.0ms
d
1.0ms
c
1.0ms
b
Results
AccuracySegmentsBranch
99.5%1a
99.5%1b
99.5%1c
99.5%1d
Compiler

Compiled 20 to 16 computations (20% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

0.0ms
b
0.0ms
d
0.0ms
c
0.0ms
a
Results
AccuracySegmentsBranch
93.2%1a
93.2%1b
93.2%1c
93.2%1d
Compiler

Compiled 20 to 16 computations (20% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021106
129106
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 c b) a) (*.f64 d a))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 c d))
(*.f64 a d)
Outputs
(+.f64 (*.f64 (+.f64 c b) a) (*.f64 d a))
(+.f64 (*.f64 (+.f64 c b) a) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 c d))
(*.f64 a d)

soundness648.0ms (10.8%)

Rules
2098×fma-neg
993×log1p-expm1-u
993×expm1-log1p-u
591×unsub-neg
431×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01466
117466
2262366
049520
1177512
2608500
31812500
43738500
54571500
65027500
75049500
85049500
95068500
105068500
115068500
126951500
136951500
146951500
Stop Event
done
saturated
node limit
Compiler

Compiled 94 to 44 computations (53.2% saved)

preprocess49.0ms (0.8%)

Remove

(sort b c d)

(negabs a)

Compiler

Compiled 364 to 216 computations (40.7% saved)

end0.0ms (0%)

Profiling

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