Expression 4, p15

Time bar (total: 4.9s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated

analyze61.0ms (1.2%)

Memory
-10.6MiB live, 36.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
50%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
75%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
87.5%0%0%100%0%0%0%8
93.8%0%0%100%0%0%0%9
93.8%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
96.9%0%0%100%0%0%0%12
Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.2s (23.8%)

Memory
6.9MiB live, 1 426.2MiB allocated
Samples
693.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 396.0ms
ival-<=: 123.0ms (31% of total)
const: 119.0ms (30% of total)
ival-mult: 58.0ms (14.6% of total)
ival-add: 54.0ms (13.6% of total)
ival-and: 24.0ms (6.1% of total)
exact: 12.0ms (3% of total)
adjust: 3.0ms (0.8% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain55.0ms (1.1%)

Memory
20.4MiB live, 66.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 a b)
00-0-(*.f64 (+.f64 a b) (+.f64 a b))
00-0-a
00-0-b
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
33.0ms512×0valid
Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-add: 18.0ms (82.3% of total)
ival-mult: 3.0ms (13.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess188.0ms (3.8%)

Memory
5.8MiB live, 101.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
14945
219441
368439
4106839
5171435
6299235
7376635
8425835
9437035
10448235
11448235
12460235
13478235
14496235
047
067
1177
2537
31707
45067
58527
615257
723347
827797
930577
1031817
1132177
032177
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 b a) (+.f64 b a))
Symmetry

(sort a b)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (+.f64 a b) (+.f64 a b))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify60.0ms (1.2%)

Memory
-2.9MiB live, 41.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 a b)
cost-diff0
(*.f64 (+.f64 a b) (+.f64 a b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
0612
11712
25312
317012
450612
585212
6152512
7233412
8277912
9305712
10318112
11321712
0321712
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)
a
b
Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 b a) (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a
b

localize12.0ms (0.3%)

Memory
16.8MiB live, 16.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 a b)
accuracy0.04296875
(*.f64 (+.f64 a b) (+.f64 a b))
Samples
8.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 1.0ms (32.5% of total)
ival-mult: 1.0ms (32.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.7%)

Memory
-38.7MiB live, 4.2MiB allocated
Counts
2 → 19
Calls
Call 1
Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)
Outputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
Calls

6 calls:

TimeVariablePointExpression
32.0ms
b
@-inf
((* (+ a b) (+ a b)) (+ a b))
0.0ms
a
@inf
((* (+ a b) (+ a b)) (+ a b))
0.0ms
a
@-inf
((* (+ a b) (+ a b)) (+ a b))
0.0ms
b
@inf
((* (+ a b) (+ a b)) (+ a b))
0.0ms
a
@0
((* (+ a b) (+ a b)) (+ a b))

simplify193.0ms (3.9%)

Memory
10.0MiB live, 257.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065179
1218169
2725161
33280161
08199147
Stop Event
iter limit
node limit
Counts
19 → 17
Calls
Call 1
Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
Outputs
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(+ a b)
(+.f64 b a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) #s(literal 1 binary64)) a) a)
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a)
a
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(+ (* 2 (* a b)) (pow a 2))
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (*.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 1 binary64)) b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -2 binary64))) b b) b)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(*.f64 (fma.f64 (*.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -2 binary64))) b b) b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)))

rewrite265.0ms (5.4%)

Memory
15.7MiB live, 123.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
068
1328
22538
331318
094418
Stop Event
iter limit
node limit
iter limit
Counts
2 → 505
Calls
Call 1
Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)
Outputs
(*.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(*.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))) (-.f64 b a))
(*.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(*.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (*.f64 (-.f64 b a) b) (-.f64 (*.f64 (-.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (+.f64 (neg.f64 b) a)) (fabs.f64 (-.f64 (neg.f64 b) a)))
(*.f64 (fabs.f64 (+.f64 (neg.f64 a) b)) (fabs.f64 (-.f64 (neg.f64 a) b)))
(*.f64 (fabs.f64 (+.f64 a (neg.f64 b))) (fabs.f64 (-.f64 a (neg.f64 b))))
(*.f64 (fabs.f64 (+.f64 b (neg.f64 a))) (fabs.f64 (-.f64 b (neg.f64 a))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (fabs.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 b a))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fabs.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 b a) b) (-.f64 (*.f64 (-.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 b a) b) (-.f64 (*.f64 (-.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 b a))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 b a) b) (-.f64 (*.f64 (-.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (+.f64 (neg.f64 b) a) (-.f64 (neg.f64 b) a))
(*.f64 (+.f64 b (neg.f64 a)) (-.f64 b (neg.f64 a)))
(*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))
(*.f64 (+.f64 a (neg.f64 b)) (-.f64 a (neg.f64 b)))
(*.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64))) (sqrt.f64 (-.f64 b a)))
(*.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 b a) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal 2 binary64)))
(*.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))))
(*.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fabs.f64 (/.f64 (-.f64 b a) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(*.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fabs.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))))
(*.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (fabs.f64 (/.f64 (-.f64 b a) (-.f64 b a))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (fabs.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 b a) (-.f64 b a)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 b a) (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 b a) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(*.f64 (-.f64 b a) (fabs.f64 (-.f64 (neg.f64 b) (neg.f64 a))))
(*.f64 (-.f64 b a) (fabs.f64 (-.f64 a (neg.f64 b))))
(*.f64 (-.f64 b a) (fabs.f64 (-.f64 (neg.f64 a) (neg.f64 b))))
(*.f64 (-.f64 b a) (pow.f64 (-.f64 a (neg.f64 b)) #s(literal 1 binary64)))
(*.f64 (-.f64 b a) (-.f64 a (neg.f64 b)))
(*.f64 (-.f64 b a) (-.f64 (neg.f64 b) (neg.f64 a)))
(*.f64 (-.f64 b a) (-.f64 (neg.f64 a) (neg.f64 b)))
(*.f64 (-.f64 b a) (-.f64 b a))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 b a)))
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(/.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fabs.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 (neg.f64 a) (neg.f64 b))))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fabs.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fabs.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (fabs.f64 (-.f64 (neg.f64 b) (neg.f64 a))))
(/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (fabs.f64 (-.f64 (neg.f64 a) (neg.f64 b))))
(/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 b a))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 a)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 (neg.f64 a) (neg.f64 b)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(neg.f64 (-.f64 b a))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (neg.f64 b))) a)
(fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) a)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) a)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 (neg.f64 a))) b)
(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)) b)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) b)
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 b a) b) (-.f64 (*.f64 (-.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (/.f64 (*.f64 a a) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a)) (*.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 b a) (*.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 b a) b) (-.f64 (*.f64 (-.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (/.f64 (pow.f64 b #s(literal 3/2 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (neg.f64 a) (/.f64 (neg.f64 a) (-.f64 b a)) (*.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (*.f64 b b) (/.f64 b (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (*.f64 a a) (/.f64 a (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 b (/.f64 (*.f64 b b) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 a (/.f64 (*.f64 a a) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 a (/.f64 a (-.f64 b a)) (*.f64 b (/.f64 b (-.f64 b a))))
(sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(-.f64 (*.f64 b (/.f64 b (-.f64 b a))) (*.f64 a (/.f64 a (-.f64 b a))))
(-.f64 (*.f64 a (/.f64 a (-.f64 b a))) (*.f64 b (/.f64 b (-.f64 b a))))
(-.f64 b a)
(-.f64 a b)
(fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))))
(fabs.f64 (-.f64 b a))
(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))
(hypot.f64 (neg.f64 (neg.f64 b)) a)
(hypot.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b)))
(hypot.f64 (neg.f64 (neg.f64 a)) (neg.f64 b))
(hypot.f64 (neg.f64 (neg.f64 a)) b)
(hypot.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))
(hypot.f64 (neg.f64 b) (neg.f64 a))
(hypot.f64 (neg.f64 b) a)
(hypot.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))
(hypot.f64 (neg.f64 a) (neg.f64 b))
(hypot.f64 (neg.f64 a) b)
(hypot.f64 b (neg.f64 (neg.f64 a)))
(hypot.f64 b (neg.f64 a))
(hypot.f64 b a)
(hypot.f64 a (neg.f64 (neg.f64 b)))
(hypot.f64 a (neg.f64 b))
(hypot.f64 a b)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (-.f64 b a)))
(+.f64 (cosh.f64 (log.f64 (-.f64 b a))) (sinh.f64 (log.f64 (-.f64 b a))))
(+.f64 (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(+.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(+.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b)))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(+.f64 (*.f64 a (/.f64 a (-.f64 b a))) (*.f64 b (/.f64 b (-.f64 b a))))
(+.f64 (neg.f64 b) (neg.f64 a))
(+.f64 (neg.f64 a) (neg.f64 b))
(+.f64 b a)
(+.f64 a b)

eval194.0ms (3.9%)

Memory
-31.2MiB live, 110.8MiB allocated
Compiler

Compiled 16 595 to 1 409 computations (91.5% saved)

prune10.0ms (0.2%)

Memory
27.8MiB live, 27.8MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New7135718
Fresh000
Picked011
Done000
Total7136719
Accuracy
100.0%
Counts
719 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(fma.f64 (-.f64 b a) b (*.f64 (-.f64 b a) a))
99.7%
(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
99.9%
(*.f64 (+.f64 a b) (+.f64 a b))
100.0%
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
99.7%
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
98.1%
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Compiler

Compiled 133 to 72 computations (45.9% saved)

simplify240.0ms (4.9%)

Memory
-15.8MiB live, 173.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 b a)
cost-diff0
(*.f64 (-.f64 b a) a)
cost-diff0
(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
cost-diff1
(fma.f64 b a (*.f64 (-.f64 b a) a))
cost-diff0
(*.f64 (-.f64 b a) a)
cost-diff0
(-.f64 b a)
cost-diff3
(fma.f64 (-.f64 b a) b (*.f64 (-.f64 b a) a))
cost-diff0
(fma.f64 #s(literal 2 binary64) a b)
cost-diff0
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
cost-diff0
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
cost-diff0
(*.f64 b b)
cost-diff0
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 #s(literal 2 binary64) a b)
cost-diff0
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
cost-diff2
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018127
031122
175122
2199118
3520118
41036118
51560118
62403118
73599118
84797118
08202118
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
(*.f64 a a)
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
b
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
(fma.f64 (-.f64 b a) b (*.f64 (-.f64 b a) a))
(-.f64 b a)
b
a
(*.f64 (-.f64 b a) a)
(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
b
(fma.f64 b a (*.f64 (-.f64 b a) a))
a
(*.f64 (-.f64 b a) a)
(-.f64 b a)
Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
#s(approx (* (+ a b) (+ a b)) (*.f64 (+.f64 b a) (+.f64 b a)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 (+.f64 b a) (+.f64 b a))
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
(*.f64 a a)
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
b
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
(fma.f64 (-.f64 b a) b (*.f64 (-.f64 b a) a))
(*.f64 (-.f64 b a) (+.f64 b a))
(-.f64 b a)
b
a
(*.f64 (-.f64 b a) a)
(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
(fma.f64 (+.f64 b a) b (*.f64 (-.f64 b a) a))
b
(fma.f64 b a (*.f64 (-.f64 b a) a))
(*.f64 (fma.f64 #s(literal 2 binary64) b (neg.f64 a)) a)
a
(*.f64 (-.f64 b a) a)
(-.f64 b a)

localize48.0ms (1%)

Memory
36.6MiB live, 121.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
accuracy0.0
(-.f64 b a)
accuracy0.01171875
(fma.f64 b a (*.f64 (-.f64 b a) a))
accuracy0.0234375
(*.f64 (-.f64 b a) a)
accuracy0.0
(-.f64 b a)
accuracy0.0234375
(*.f64 (-.f64 b a) a)
accuracy0.03515625
(fma.f64 (-.f64 b a) b (*.f64 (-.f64 b a) a))
accuracy0.0
(fma.f64 #s(literal 2 binary64) a b)
accuracy0.03125
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy0.196444758386959
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy0.0
(*.f64 b b)
accuracy1.2405671725644434
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
accuracy0.0
(fma.f64 #s(literal 2 binary64) a b)
accuracy0.0
(*.f64 a a)
accuracy0.0
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
accuracy0.01171875
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
Samples
33.0ms256×0valid
Compiler

Compiled 117 to 20 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 11.0ms (53.3% of total)
ival-add: 8.0ms (38.8% of total)
ival-sub: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series25.0ms (0.5%)

Memory
7.7MiB live, 47.9MiB allocated
Counts
13 → 59
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(fma.f64 #s(literal 2 binary64) a b)
(*.f64 a a)
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (-.f64 b a) b (*.f64 (-.f64 b a) a))
(-.f64 b a)
(*.f64 (-.f64 b a) a)
(fma.f64 b a (*.f64 (-.f64 b a) a))
(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
Outputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ b (* 2 a))
(pow a 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(+ b (* -1 a))
(* a b)
(* a (+ b (* -1 a)))
(* 2 (* a b))
(* a (+ (* -1 a) (* 2 b)))
(+ (* a (+ (* -1 a) (* 2 b))) (pow b 2))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 2 a)
(* a (+ 2 (/ b a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* -1 (pow a 2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 a)
(* a (- (/ b a) 1))
(* (pow a 2) (- (/ b a) 1))
(* (pow a 2) (- (* 2 (/ b a)) 1))
(* (pow a 2) (- (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* (pow a 2) (- (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)) 1))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* b (+ b (* 2 a)))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(- b a)
(+ (* -1 (pow a 2)) (* a b))
(+ (* -1 (pow a 2)) (* 2 (* a b)))
(+ (* -1 (pow a 2)) (* b (+ b (* 2 a))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ a (* -1 (/ (pow a 2) b))))
(* b (+ (* -1 (/ (pow a 2) b)) (* 2 a)))
(* (pow b 2) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (* 2 (/ a b)))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 a)) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ a (+ (* -1 a) (/ (pow a 2) b))) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (+ (* -1 a) (/ (pow a 2) b))))
(* -1 (* b (+ (* -2 a) (/ (pow a 2) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (/ (pow a 2) b)) b))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@-inf
((+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (+ (* 2 a) b) (* a a) (* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* (- b a) b) (* (- b a) a)) (- b a) (* (- b a) a) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))))
2.0ms
b
@inf
((+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (+ (* 2 a) b) (* a a) (* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* (- b a) b) (* (- b a) a)) (- b a) (* (- b a) a) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))))
2.0ms
a
@0
((+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (+ (* 2 a) b) (* a a) (* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* (- b a) b) (* (- b a) a)) (- b a) (* (- b a) a) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))))
2.0ms
a
@inf
((+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (+ (* 2 a) b) (* a a) (* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* (- b a) b) (* (- b a) a)) (- b a) (* (- b a) a) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))))
2.0ms
a
@-inf
((+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (+ (* 2 a) b) (* a a) (* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* (- b a) b) (* (- b a) a)) (- b a) (* (- b a) a) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))))

simplify809.0ms (16.5%)

Memory
-170.8MiB live, 325.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156573
1560529
22078488
35726488
08417467
Stop Event
iter limit
node limit
Counts
59 → 58
Calls
Call 1
Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ b (* 2 a))
(pow a 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(+ b (* -1 a))
(* a b)
(* a (+ b (* -1 a)))
(* 2 (* a b))
(* a (+ (* -1 a) (* 2 b)))
(+ (* a (+ (* -1 a) (* 2 b))) (pow b 2))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 2 a)
(* a (+ 2 (/ b a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* -1 (pow a 2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 a)
(* a (- (/ b a) 1))
(* (pow a 2) (- (/ b a) 1))
(* (pow a 2) (- (* 2 (/ b a)) 1))
(* (pow a 2) (- (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* (pow a 2) (- (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)) 1))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* b (+ b (* 2 a)))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(- b a)
(+ (* -1 (pow a 2)) (* a b))
(+ (* -1 (pow a 2)) (* 2 (* a b)))
(+ (* -1 (pow a 2)) (* b (+ b (* 2 a))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ a (* -1 (/ (pow a 2) b))))
(* b (+ (* -1 (/ (pow a 2) b)) (* 2 a)))
(* (pow b 2) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (* 2 (/ a b)))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 a)) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ a (+ (* -1 a) (/ (pow a 2) b))) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (+ (* -1 a) (/ (pow a 2) b))))
(* -1 (* b (+ (* -2 a) (/ (pow a 2) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (/ (pow a 2) b)) b))))
Outputs
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(pow a 2)
(*.f64 a a)
(+ (* a (+ b (* -1 b))) (pow b 2))
(*.f64 b b)
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(+ b (* -1 a))
(-.f64 b a)
(* a b)
(*.f64 b a)
(* a (+ b (* -1 a)))
(*.f64 (-.f64 b a) a)
(* 2 (* a b))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(* a (+ (* -1 a) (* 2 b)))
(*.f64 (fma.f64 #s(literal 2 binary64) b (neg.f64 a)) a)
(+ (* a (+ (* -1 a) (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) b (neg.f64 a)) a (*.f64 b b))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) #s(literal 1 binary64)) a) a)
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 1 binary64)) a) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (/ b a)))
(*.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) a)
(* a (+ (* 2 b) (/ (pow b 2) a)))
(*.f64 (*.f64 b (+.f64 (/.f64 b a) #s(literal 2 binary64))) a)
(* -1 (pow a 2))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) a) a)
(* -1 a)
(neg.f64 a)
(* a (- (/ b a) 1))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(* (pow a 2) (- (/ b a) 1))
(*.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) a)
(* (pow a 2) (- (* 2 (/ b a)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) a) a)
(* (pow a 2) (- (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))) 1))
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) #s(literal 1 binary64)) a) a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(*.f64 (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 1 binary64)) a) a)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (neg.f64 a))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(*.f64 (*.f64 b (+.f64 (/.f64 b a) #s(literal 2 binary64))) a)
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) a) a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(fma.f64 (/.f64 b a) a (neg.f64 a))
(* (pow a 2) (- (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) #s(literal 1 binary64)) a) a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* b (+ b (* 2 a)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(*.f64 (neg.f64 a) a)
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(- b a)
(-.f64 b a)
(+ (* -1 (pow a 2)) (* a b))
(*.f64 (-.f64 b a) a)
(+ (* -1 (pow a 2)) (* 2 (* a b)))
(*.f64 (fma.f64 #s(literal 2 binary64) b (neg.f64 a)) a)
(+ (* -1 (pow a 2)) (* b (+ b (* 2 a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) b (neg.f64 a)) a (*.f64 b b))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (*.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 1 binary64)) b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -2 binary64)) #s(literal 1 binary64)) b) b)
(* b (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 1 binary64)) b)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) (neg.f64 a) #s(literal 1 binary64)) (*.f64 b b))
(* b (+ 1 (* -1 (/ a b))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(* b (+ a (* -1 (/ (pow a 2) b))))
(*.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))) b)
(* b (+ (* -1 (/ (pow a 2) b)) (* 2 a)))
(*.f64 (*.f64 a (-.f64 #s(literal 2 binary64) (/.f64 a b))) b)
(* (pow b 2) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (* 2 (/ a b)))))
(*.f64 (*.f64 (fma.f64 (/.f64 a b) (-.f64 #s(literal 2 binary64) (/.f64 a b)) #s(literal 1 binary64)) b) b)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(*.f64 (*.f64 (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -2 binary64)) #s(literal 1 binary64)) b) b)
(* -1 (* b (- (* -2 (/ a b)) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 b))
(* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 a)) b))))
(*.f64 b b)
(* (pow b 2) (+ 1 (* -1 (/ (+ a (+ (* -1 a) (/ (pow a 2) b))) b))))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) (neg.f64 a) #s(literal 1 binary64)) (*.f64 b b))
(* -1 (* b (- (/ a b) 1)))
(*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (* b (+ (* -1 a) (/ (pow a 2) b))))
(*.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))) b)
(* -1 (* b (+ (* -2 a) (/ (pow a 2) b))))
(*.f64 (*.f64 a (-.f64 #s(literal 2 binary64) (/.f64 a b))) b)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (/ (pow a 2) b)) b))))
(*.f64 (*.f64 (fma.f64 (/.f64 a b) (-.f64 #s(literal 2 binary64) (/.f64 a b)) #s(literal 1 binary64)) b) b)

rewrite251.0ms (5.1%)

Memory
-17.2MiB live, 316.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018104
03190
115290
2139786
0895186
Stop Event
iter limit
node limit
iter limit
Counts
13 → 1 438
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(fma.f64 #s(literal 2 binary64) a b)
(*.f64 a a)
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 (-.f64 b a) b (*.f64 (-.f64 b a) a))
(-.f64 b a)
(*.f64 (-.f64 b a) a)
(fma.f64 b a (*.f64 (-.f64 b a) a))
(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 3 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 3 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 3 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 a)) a) (*.f64 (neg.f64 (neg.f64 a)) a))) (-.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) (*.f64 (neg.f64 (neg.f64 a)) a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 a #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (fma.f64 a #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 a #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 a #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (fma.f64 a #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (fma.f64 a #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 a #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (fma.f64 a #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)) (*.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 a #s(literal 2 binary64) b)) b) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 (fma.f64 a #s(literal 2 binary64) b)) b) (*.f64 (neg.f64 (fma.f64 a #s(literal 2 binary64) b)) b) (*.f64 (*.f64 a a) (*.f64 (neg.f64 (fma.f64 a #s(literal 2 binary64) b)) b)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 b) (fma.f64 a #s(literal 2 binary64) b)) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 b) (fma.f64 a #s(literal 2 binary64) b)) (*.f64 (neg.f64 b) (fma.f64 a #s(literal 2 binary64) b)) (*.f64 (*.f64 a a) (*.f64 (neg.f64 b) (fma.f64 a #s(literal 2 binary64) b))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 3 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 3 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 3 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 3 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)) (pow.f64 (*.f64 (fma.f64 a #s(literal 2 binary64) b) b) #s(literal 2 binary64))))))))
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(fma.f64 (/.f64 (neg.f64 b) (-.f64 b a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 b a)) (/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 (-.f64 b a) b) a)) (*.f64 (+.f64 (-.f64 b a) b) a)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 b a)) (/.f64 (neg.f64 b) (-.f64 b a)) (/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 (-.f64 b a) b) a)) (*.f64 (+.f64 (-.f64 b a) b) a)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 b a)) (/.f64 b (-.f64 b a)) (/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 (-.f64 b a) b) a)) (*.f64 (+.f64 (-.f64 b a) b) a)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (+.f64 (-.f64 b a) b)) (/.f64 (*.f64 (+.f64 (-.f64 b a) b) a) a) (*.f64 b b))
(fma.f64 (/.f64 (*.f64 (+.f64 (-.f64 b a) b) a) a) (/.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (+.f64 (-.f64 b a) b)) (*.f64 b b))
(fma.f64 (/.f64 (*.f64 (+.f64 (-.f64 b a) b) a) a) (/.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (-.f64 b (-.f64 b a))) (*.f64 b b))
(fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) b) (-.f64 b a)) (-.f64 b a)) (/.f64 b (-.f64 b a)) (*.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (-.f64 b a)))
(fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) b) b) (-.f64 b a)) (/.f64 (-.f64 b a) (-.f64 b a)) (*.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (-.f64 b a)))
(fma.f64 (/.f64 (neg.f64 (*.f64 (-.f64 b a) b)) (-.f64 b a)) (/.f64 (neg.f64 (*.f64 (-.f64 b a) b)) (-.f64 b a)) (*.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (-.f64 b a)))
(fma.f64 (/.f64 b (-.f64 b a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 b a)) (/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 (-.f64 b a) b) a)) (*.f64 (+.f64 (-.f64 b a) b) a)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(fma.f64 (/.f64 b (-.f64 b a)) (/.f64 (*.f64 (-.f64 b a) (*.f64 (-.f64 b a) b)) (-.f64 b a)) (*.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (-.f64 b a)))
(fma.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (/.f64 (*.f64 b (*.f64 (-.f64 b a) b)) (-.f64 b a)) (*.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (-.f64 b a)))
(fma.f64 (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a)) (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a)) (*.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (-.f64 b a)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 a) (+.f64 (-.f64 b a) b)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (+.f64 (-.f64 b a) b) a))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 a) (+.f64 (-.f64 b a) b)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 a) a))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (+.f64 (-.f64 b a) b) a))
(fma.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (/.f64 (*.f64 b b) (-.f64 b a)) (/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 (-.f64 b a) b) a)) (*.f64 (+.f64 (-.f64 b a) b) a)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (-.f64 b a) (*.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (-.f64 b a)))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 a) (+.f64 (-.f64 b a) b)))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (+.f64 (-.f64 b a) b) a))
(fma.f64 (+.f64 (-.f64 b a) b) a (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 a) (+.f64 (-.f64 b a) b)))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (+.f64 (-.f64 b a) b) a))
(fma.f64 (-.f64 b a) (/.f64 (*.f64 b b) (-.f64 b a)) (*.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (-.f64 b a)))
(fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) (-.f64 b a)))
(fma.f64 (-.f64 b a) b (*.f64 (-.f64 b a) a))
(fma.f64 (-.f64 b a) a (*.f64 (-.f64 b a) b))
(fma.f64 b (-.f64 b a) (*.f64 (neg.f64 a) (-.f64 b a)))
(fma.f64 b (-.f64 b a) (*.f64 (-.f64 b a) a))
(fma.f64 b b (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(fma.f64 b b (*.f64 (neg.f64 a) (+.f64 (-.f64 b a) b)))
(fma.f64 b b (*.f64 (neg.f64 a) a))
(fma.f64 b b (*.f64 (+.f64 (-.f64 b a) b) a))
(fma.f64 b a (fma.f64 (-.f64 b a) a (*.f64 b b)))
(fma.f64 a (-.f64 b (-.f64 b a)) (*.f64 b b))
(fma.f64 a (+.f64 (-.f64 b a) b) (*.f64 b b))
(fma.f64 a (-.f64 b a) (*.f64 (-.f64 b a) b))
(fma.f64 a b (fma.f64 (-.f64 b a) a (*.f64 b b)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 b a) (-.f64 a b)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (-.f64 b a) b) a) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (*.f64 b b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (-.f64 b a) b) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (-.f64 b a) b))))) (/.f64 (pow.f64 (*.f64 (+.f64 (-.f64 b a) b) a) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (-.f64 b a) b) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (-.f64 b a) b))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (-.f64 b a))))) (/.f64 (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (-.f64 b a))))))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(-.f64 (-.f64 (*.f64 b b) (*.f64 (-.f64 b a) a)) (*.f64 b a))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (+.f64 (-.f64 b a) b) a) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (-.f64 b a)) (*.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (-.f64 b a)))
(-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (-.f64 b a)) (*.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (-.f64 b a)))
(-.f64 (*.f64 (-.f64 b a) b) (*.f64 (neg.f64 a) (-.f64 b a)))
(-.f64 (*.f64 (-.f64 b a) b) (*.f64 (-.f64 b a) a))
(-.f64 (*.f64 b a) (-.f64 (*.f64 (-.f64 b a) a) (*.f64 b b)))
(-.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)))
(-.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 (-.f64 b a) a) (*.f64 (neg.f64 b) (-.f64 b a)))
(-.f64 (*.f64 (-.f64 b a) a) (*.f64 (-.f64 b a) b))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) (+.f64 (-.f64 b a) b)))
(-.f64 (*.f64 b b) (*.f64 (+.f64 (-.f64 b a) b) a))
(-.f64 (*.f64 b b) (*.f64 a a))
(fabs.f64 (-.f64 (*.f64 (neg.f64 b) (-.f64 b a)) (*.f64 (-.f64 b a) a)))
(fabs.f64 (neg.f64 (*.f64 (-.f64 b a) (-.f64 a b))))
(fabs.f64 (*.f64 (-.f64 b a) (-.f64 a b)))
(fabs.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 b a) b))) (*.f64 (-.f64 b a) a))
(hypot.f64 (neg.f64 (*.f64 (-.f64 b a) b)) (*.f64 (-.f64 b a) a))
(hypot.f64 (*.f64 (-.f64 b a) b) (*.f64 (-.f64 b a) a))
(exp.f64 (*.f64 (log.f64 (-.f64 b a)) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (-.f64 b a) b) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (-.f64 b a) b) a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (-.f64 b a) b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (-.f64 b a) b) a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (-.f64 b a) b))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (-.f64 b a) b) a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (-.f64 b a) b))))) (/.f64 (pow.f64 (*.f64 (+.f64 (-.f64 b a) b) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (-.f64 b a) b) a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (-.f64 b a) b))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (-.f64 b a))))) (/.f64 (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (-.f64 b a))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (-.f64 b a))))) (/.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (-.f64 b a))))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 b a)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 b a)) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (-.f64 b a) b) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (-.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (-.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (-.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 (-.f64 b a) b) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (-.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 b a) a) (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 b a) a) (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 b a) a) (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 b a) a) (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 (-.f64 b a) b) a)) (*.f64 (+.f64 (-.f64 b a) b) a)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (-.f64 b a)) (*.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (-.f64 b a)))
(+.f64 (fma.f64 (-.f64 b a) a (*.f64 b b)) (*.f64 b a))
(+.f64 (*.f64 (-.f64 b a) b) (*.f64 (neg.f64 a) (-.f64 b a)))
(+.f64 (*.f64 (-.f64 b a) b) (*.f64 (-.f64 b a) a))
(+.f64 (*.f64 b a) (fma.f64 (-.f64 b a) a (*.f64 b b)))
(+.f64 (*.f64 (+.f64 (-.f64 b a) b) a) (*.f64 b b))
(+.f64 (*.f64 (-.f64 b a) a) (*.f64 (-.f64 b a) b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 a) (+.f64 (-.f64 b a) b)))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
(+.f64 (*.f64 b b) (*.f64 (+.f64 (-.f64 b a) b) a))

eval276.0ms (5.6%)

Memory
24.5MiB live, 357.5MiB allocated
Compiler

Compiled 42 200 to 3 545 computations (91.6% saved)

prune72.0ms (1.5%)

Memory
-29.1MiB live, 61.5MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 28621 288
Fresh000
Picked235
Done011
Total1 28861 294
Accuracy
100.0%
Counts
1 294 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(fma.f64 (-.f64 b a) b #s(approx (* (- b a) a) (*.f64 b a)))
99.7%
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))))
99.9%
(*.f64 (+.f64 a b) (+.f64 a b))
100.0%
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
99.7%
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
98.1%
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Compiler

Compiled 81 to 46 computations (43.2% saved)

simplify31.0ms (0.6%)

Memory
19.5MiB live, 19.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b a)
cost-diff0
#s(approx (* (- b a) a) (*.f64 b a))
cost-diff0
(-.f64 b a)
cost-diff0
(fma.f64 (-.f64 b a) b #s(approx (* (- b a) a) (*.f64 b a)))
cost-diff0
(*.f64 b a)
cost-diff0
(*.f64 (*.f64 b a) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))
cost-diff0
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01475
02171
14171
29371
315971
422571
529971
635771
739571
844371
949371
1057071
1166971
1278571
1388171
1492671
1597371
1699371
17100871
0100871
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))))
b
#s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(*.f64 b a)
a
#s(literal 2 binary64)
(fma.f64 (-.f64 b a) b #s(approx (* (- b a) a) (*.f64 b a)))
(-.f64 b a)
b
a
#s(approx (* (- b a) a) (*.f64 b a))
(*.f64 b a)
Outputs
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))))
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
b
#s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))
#s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 a b))
(*.f64 b a)
(*.f64 a b)
a
#s(literal 2 binary64)
(fma.f64 (-.f64 b a) b #s(approx (* (- b a) a) (*.f64 b a)))
(fma.f64 (-.f64 b a) b #s(approx (* (- b a) a) (*.f64 a b)))
(-.f64 b a)
b
a
#s(approx (* (- b a) a) (*.f64 b a))
#s(approx (* (- b a) a) (*.f64 a b))
(*.f64 b a)
(*.f64 a b)

localize36.0ms (0.7%)

Memory
16.2MiB live, 59.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 b a)
accuracy0.0
(*.f64 b a)
accuracy0.03515625
(fma.f64 (-.f64 b a) b #s(approx (* (- b a) a) (*.f64 b a)))
accuracy1.175855987336596
#s(approx (* (- b a) a) (*.f64 b a))
accuracy0.0
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))))
accuracy0.0
(*.f64 (*.f64 b a) #s(literal 2 binary64))
accuracy0.0
(*.f64 b a)
accuracy1.107953061883035
#s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))
Samples
28.0ms256×0valid
Compiler

Compiled 59 to 14 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 11.0ms (56% of total)
ival-mult: 7.0ms (35.6% of total)
ival-sub: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
7 → 41
Calls
Call 1
Inputs
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))))
#s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(*.f64 b a)
(fma.f64 (-.f64 b a) b #s(approx (* (- b a) a) (*.f64 b a)))
(-.f64 b a)
#s(approx (* (- b a) a) (*.f64 b a))
Outputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ (* -1 a) (* 2 b))) (pow b 2))
(* 2 (* a b))
(* a (+ (* -1 a) (* 2 b)))
(* a b)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
b
(+ b (* -1 a))
(* a (+ b (* -1 a)))
(* -1 (pow a 2))
(* (pow a 2) (- (* 2 (/ b a)) 1))
(* (pow a 2) (- (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 a)
(* a (- (/ b a) 1))
(* (pow a 2) (- (/ b a) 1))
(* (pow a 2) (- (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(+ (* -1 (pow a 2)) (* 2 (* a b)))
(+ (* -1 (pow a 2)) (* b (+ b (* 2 a))))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(- b a)
(+ (* -1 (pow a 2)) (* a b))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (* 2 (/ a b)))))
(* b (+ (* -1 (/ (pow a 2) b)) (* 2 a)))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ a (* -1 (/ (pow a 2) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (/ (pow a 2) b)) b))))
(* -1 (* b (+ (* -2 a) (/ (pow a 2) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 a)) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ a (+ (* -1 a) (/ (pow a 2) b))) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (+ (* -1 a) (/ (pow a 2) b))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
((+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a) (+ (* (- b a) b) (* (- b a) a)) (- b a) (* (- b a) a))
1.0ms
b
@-inf
((+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a) (+ (* (- b a) b) (* (- b a) a)) (- b a) (* (- b a) a))
1.0ms
a
@inf
((+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a) (+ (* (- b a) b) (* (- b a) a)) (- b a) (* (- b a) a))
1.0ms
b
@inf
((+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a) (+ (* (- b a) b) (* (- b a) a)) (- b a) (* (- b a) a))
1.0ms
a
@0
((+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a) (+ (* (- b a) b) (* (- b a) a)) (- b a) (* (- b a) a))

simplify216.0ms (4.4%)

Memory
-12.6MiB live, 262.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123378
1432348
21557317
35590317
08358309
Stop Event
iter limit
node limit
Counts
41 → 40
Calls
Call 1
Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ (* -1 a) (* 2 b))) (pow b 2))
(* 2 (* a b))
(* a (+ (* -1 a) (* 2 b)))
(* a b)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
b
(+ b (* -1 a))
(* a (+ b (* -1 a)))
(* -1 (pow a 2))
(* (pow a 2) (- (* 2 (/ b a)) 1))
(* (pow a 2) (- (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 a)
(* a (- (/ b a) 1))
(* (pow a 2) (- (/ b a) 1))
(* (pow a 2) (- (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(+ (* -1 (pow a 2)) (* 2 (* a b)))
(+ (* -1 (pow a 2)) (* b (+ b (* 2 a))))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(- b a)
(+ (* -1 (pow a 2)) (* a b))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (* 2 (/ a b)))))
(* b (+ (* -1 (/ (pow a 2) b)) (* 2 a)))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ a (* -1 (/ (pow a 2) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (/ (pow a 2) b)) b))))
(* -1 (* b (+ (* -2 a) (/ (pow a 2) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 a)) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ a (+ (* -1 a) (/ (pow a 2) b))) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (+ (* -1 a) (/ (pow a 2) b))))
Outputs
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* a (+ (* -1 a) (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 (neg.f64 a) a))
(* 2 (* a b))
(*.f64 (*.f64 #s(literal 2 binary64) b) a)
(* a (+ (* -1 a) (* 2 b)))
(*.f64 (fma.f64 #s(literal 2 binary64) b (neg.f64 a)) a)
(* a b)
(*.f64 a b)
(+ (* a (+ b (* -1 b))) (pow b 2))
(*.f64 b b)
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(fma.f64 (neg.f64 a) a (*.f64 b b))
b
(+ b (* -1 a))
(-.f64 b a)
(* a (+ b (* -1 a)))
(*.f64 (-.f64 b a) a)
(* -1 (pow a 2))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (* 2 (/ b a)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) a) a)
(* (pow a 2) (- (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))) 1))
(*.f64 (-.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) a) a)
(* -1 a)
(neg.f64 a)
(* a (- (/ b a) 1))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(* (pow a 2) (- (/ b a) 1))
(*.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) a)
(* (pow a 2) (- (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) a) a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(fma.f64 (/.f64 b a) a (neg.f64 a))
(+ (* -1 (pow a 2)) (* 2 (* a b)))
(*.f64 (fma.f64 #s(literal 2 binary64) b (neg.f64 a)) a)
(+ (* -1 (pow a 2)) (* b (+ b (* 2 a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 (neg.f64 a) a))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(*.f64 (neg.f64 a) a)
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(- b a)
(-.f64 b a)
(+ (* -1 (pow a 2)) (* a b))
(*.f64 (-.f64 b a) a)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (*.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 1 binary64)) b) b)
(* (pow b 2) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (* 2 (/ a b)))))
(*.f64 (*.f64 (fma.f64 (/.f64 a b) (-.f64 #s(literal 2 binary64) (/.f64 a b)) #s(literal 1 binary64)) b) b)
(* b (+ (* -1 (/ (pow a 2) b)) (* 2 a)))
(*.f64 (*.f64 a (-.f64 #s(literal 2 binary64) (/.f64 a b))) b)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))
(* b (+ 1 (* -1 (/ a b))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(* b (+ a (* -1 (/ (pow a 2) b))))
(*.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))) b)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (/ (pow a 2) b)) b))))
(*.f64 (*.f64 (fma.f64 (/.f64 a b) (-.f64 #s(literal 2 binary64) (/.f64 a b)) #s(literal 1 binary64)) b) b)
(* -1 (* b (+ (* -2 a) (/ (pow a 2) b))))
(*.f64 (*.f64 a (-.f64 #s(literal 2 binary64) (/.f64 a b))) b)
(* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 a)) b))))
(*.f64 b b)
(* (pow b 2) (+ 1 (* -1 (/ (+ a (+ (* -1 a) (/ (pow a 2) b))) b))))
(*.f64 (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))
(* -1 (* b (- (/ a b) 1)))
(*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (* b (+ (* -1 a) (/ (pow a 2) b))))
(*.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a b))) b)

rewrite199.0ms (4.1%)

Memory
-14.2MiB live, 238.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01467
02163
18963
267163
0809963
Stop Event
iter limit
node limit
iter limit
Counts
7 → 176
Calls
Call 1
Inputs
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))))
#s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(*.f64 b a)
(fma.f64 (-.f64 b a) b #s(approx (* (- b a) a) (*.f64 b a)))
(-.f64 b a)
#s(approx (* (- b a) a) (*.f64 b a))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #s(literal 3 binary64)))) (fma.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #s(literal 2 binary64)))) (fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (*.f64 b b)) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (*.f64 b b)) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (*.f64 b b)) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (*.f64 b b)) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (*.f64 b b)) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
(*.f64 (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (*.f64 b b)) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (fma.f64 (-.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (*.f64 b b)) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (pow.f64 b #s(literal 4 binary64)))))
(*.f64 (fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (/.f64 (-.f64 (*.f64 b b) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) (-.f64 (*.f64 b b) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b b) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b b) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))) (*.f64 (/.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #s(literal 2 binary64)) (-.f64 (*.f64 b b) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))))) (/.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #s(literal 2 binary64)) (-.f64 (*.f64 b b) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))))))) (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b b) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))))) (/.f64 (pow.f64 #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #s(literal 2 binary64)) (-.f64 (*.f64 b b) #s(approx (+ (* b a) (* (- b a) a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))))))
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(/.f64 (-.f64 (*.f64 (*.f64 b b) (+.f64 a b)) (*.f64 (+.f64 a b) (*.f64 a a))) (*.f64 (+.f64 a b) (+.f64 a b)))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 a b) a (*.f64 b b))) (*.f64 (fma.f64 (+.f64 a b) a (*.f64 b b)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 a b) a (*.f64 b b)) (fma.f64 (+.f64 a b) a (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (+.f64 a b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (+.f64 a b) a (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (+.f64 a b) a (*.f64 b b))))
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 a b) a (*.f64 b b))))
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (+.f64 a b))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 a b) a (*.f64 b b)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 a b) a (*.f64 b b)))
(neg.f64 (neg.f64 (-.f64 b a)))
(fma.f64 (/.f64 (*.f64 b b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 a (-.f64 a b) (*.f64 b b)) (/.f64 (*.f64 (neg.f64 a) a) (+.f64 a b)))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a) (/.f64 (*.f64 (neg.f64 a) a) (+.f64 a b)))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) (+.f64 a b)) (/.f64 (*.f64 (neg.f64 a) a) (+.f64 a b)))
(fma.f64 b (/.f64 b (+.f64 a b)) (/.f64 (*.f64 (neg.f64 a) a) (+.f64 a b)))
(-.f64 (*.f64 b (/.f64 b (+.f64 a b))) (*.f64 a (/.f64 a (+.f64 a b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 a b) a (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 a b) a (*.f64 b b))))
(-.f64 b a)
(+.f64 (*.f64 b (/.f64 b (+.f64 a b))) (/.f64 (*.f64 (neg.f64 a) a) (+.f64 a b)))
#s(approx (* (- b a) a) (*.f64 a b))

eval38.0ms (0.8%)

Memory
-22.7MiB live, 80.9MiB allocated
Compiler

Compiled 12 533 to 692 computations (94.5% saved)

prune6.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2060206
Fresh000
Picked022
Done044
Total2066212
Accuracy
100.0%
Counts
212 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(fma.f64 (-.f64 b a) b #s(approx (* (- b a) a) (*.f64 b a)))
99.7%
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))))
99.9%
(*.f64 (+.f64 a b) (+.f64 a b))
100.0%
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
99.7%
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
98.1%
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Compiler

Compiled 183 to 76 computations (58.5% saved)

regimes11.0ms (0.2%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (+.f64 a b) (+.f64 a b))
(fma.f64 (-.f64 b a) b #s(approx (* (- b a) a) (*.f64 b a)))
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(fma.f64 (-.f64 b a) b (*.f64 (-.f64 b a) a))
(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
Calls

4 calls:

3.0ms
b
3.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms
(+.f64 a b)
2.0ms
a
Results
AccuracySegmentsBranch
100.0%1(+.f64 a b)
100.0%1(*.f64 (+.f64 a b) (+.f64 a b))
100.0%1a
100.0%1b
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes19.0ms (0.4%)

Memory
-32.6MiB live, 13.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (+.f64 a b) (+.f64 a b))
(fma.f64 (-.f64 b a) b #s(approx (* (- b a) a) (*.f64 b a)))
(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))))
Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
Calls

4 calls:

13.0ms
(+.f64 a b)
2.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
99.9%1(+.f64 a b)
99.9%1(*.f64 (+.f64 a b) (+.f64 a b))
99.9%1a
99.9%1b
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes5.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
Calls

4 calls:

1.0ms
b
1.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms
(+.f64 a b)
1.0ms
a
Results
AccuracySegmentsBranch
99.7%1(+.f64 a b)
99.7%1(*.f64 (+.f64 a b) (+.f64 a b))
99.7%1a
99.7%1b
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes4.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Calls

4 calls:

1.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms
(+.f64 a b)
1.0ms
a
1.0ms
b
Results
AccuracySegmentsBranch
98.1%1(+.f64 a b)
98.1%1(*.f64 (+.f64 a b) (+.f64 a b))
98.1%1a
98.1%1b
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify51.0ms (1%)

Memory
-18.1MiB live, 28.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01549
12849
26649
318649
452649
588549
6170849
7409249
8621249
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

derivations282.0ms (5.7%)

Memory
7.0MiB live, 145.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065179
1218169
2725161
33280161
08199147
Stop Event
done
iter limit
node limit
Compiler

Compiled 49 to 15 computations (69.4% saved)

preprocess45.0ms (0.9%)

Memory
23.2MiB live, 68.3MiB allocated
Remove

(sort a b)

Compiler

Compiled 210 to 90 computations (57.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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