Expression 4, p15

Time bar (total: 4.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze22.0ms (0.5%)

Memory
9.9MiB live, 53.5MiB allocated; 7ms collecting garbage
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)

sample1.3s (30.2%)

Memory
31.4MiB live, 1 681.0MiB allocated; 486ms collecting garbage
Samples
866.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 600.0ms
const: 162.0ms (27% of total)
ival-add: 161.0ms (26.8% of total)
ival-<=: 134.0ms (22.3% of total)
ival-mult: 98.0ms (16.3% of total)
ival-and: 25.0ms (4.2% of total)
exact: 14.0ms (2.3% of total)
adjust: 3.0ms (0.5% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain53.0ms (1.2%)

Memory
14.2MiB live, 59.1MiB allocated; 12ms collecting garbage
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
18.0ms512×0valid
Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (44.1% of total)
ival-mult: 3.0ms (44.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess180.0ms (4.2%)

Memory
-14.3MiB live, 133.2MiB allocated; 36ms collecting garbage
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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 a b) (+.f64 a b))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify61.0ms (1.4%)

Memory
-8.8MiB live, 37.0MiB allocated; 7ms collecting garbage
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

localize25.0ms (0.6%)

Memory
-30.4MiB live, 30.4MiB allocated; 8ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 a b)
accuracy0.0234375
(*.f64 (+.f64 a b) (+.f64 a b))
Samples
9.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 2.0ms (59.9% of total)
ival-mult: 1.0ms (29.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
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
1.0ms
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))

simplify311.0ms (7.2%)

Memory
-6.2MiB live, 198.0MiB allocated; 31ms collecting garbage
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)))

rewrite146.0ms (3.4%)

Memory
36.0MiB live, 170.7MiB allocated; 14ms collecting garbage
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)))
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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)

eval169.0ms (3.9%)

Memory
-23.2MiB live, 121.2MiB allocated; 19ms collecting garbage
Compiler

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

prune32.0ms (0.7%)

Memory
-15.7MiB live, 30.8MiB allocated; 3ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New7144718
Fresh000
Picked011
Done000
Total7145719
Accuracy
100.0%
Counts
719 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.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)))
48.5%
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a))
99.7%
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
98.5%
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Compiler

Compiled 71 to 38 computations (46.5% saved)

simplify143.0ms (3.3%)

Memory
37.6MiB live, 136.6MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
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))
cost-diff0
(*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64)))
cost-diff0
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a))
cost-diff3
(*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a)
cost-diff4
(fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) 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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020146
032156
170156
2190156
3570151
41268141
53080125
65790125
08097124
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a))
(*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a)
(fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a)
(*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64)))
(/.f64 b a)
b
a
(-.f64 (/.f64 b a) #s(literal -2 binary64))
#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 (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)
Outputs
#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
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a))
#s(approx (* (+ a b) (+ a b)) (*.f64 (+.f64 b a) (+.f64 b a)))
(*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a)
(*.f64 (+.f64 b a) (+.f64 b a))
(fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a)
(fma.f64 (-.f64 (/.f64 b a) #s(literal -2 binary64)) b a)
(*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal -2 binary64)) a) b)
(/.f64 b a)
b
a
(-.f64 (/.f64 b a) #s(literal -2 binary64))
#s(literal -2 binary64)
#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)

localize82.0ms (1.9%)

Memory
-8.2MiB live, 83.6MiB allocated; 5ms collecting garbage
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
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)))
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
accuracy0.0
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a))
accuracy0.24447250976844204
(*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64)))
accuracy0.5351292650528289
(*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a)
accuracy31.25258492192722
(fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a)
accuracy0.0
(fma.f64 #s(literal 2 binary64) a b)
accuracy0.0
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy0.20985409268488506
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy0.0
(*.f64 b b)
accuracy0.9534902224094475
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Samples
71.0ms256×0valid
Compiler

Compiled 119 to 20 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 38.0ms (64.4% of total)
ival-div: 15.0ms (25.4% of total)
ival-add: 5.0ms (8.5% of total)
ival-sub: 1.0ms (1.7% 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)

series12.0ms (0.3%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Counts
12 → 43
Calls
Call 1
Inputs
#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 #s(literal 2 binary64) a b)
(fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a)
(*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a)
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a))
(*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64)))
(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)))
(*.f64 a a)
Outputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ b (* 2 a))
(/ (pow b 2) a)
(/ (+ (* 2 (* a b)) (pow b 2)) a)
(/ (+ (* a (+ a (* 2 b))) (pow b 2)) a)
(/ (pow b 2) (pow a 2))
(/ (+ (* 2 (* a b)) (pow b 2)) (pow a 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 a)
(* a (+ 2 (/ b a)))
a
(* a (+ 1 (* 2 (/ b a))))
(* a (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 2 (/ b a))
(/ (+ (* 2 b) (/ (pow b 2) a)) a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -2 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ (+ (* 2 b) (/ (pow b 2) a)) a)) 1)))
(* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* b (+ b (* 2 a)))
(+ a (* 2 b))
(+ a (* b (+ 2 (/ b a))))
(* b (+ (* 2 (/ 1 a)) (/ b (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 (* 2 (/ a b))))
(* (pow b 2) (+ (/ 1 a) (* 2 (/ 1 b))))
(* (pow b 2) (+ (/ 1 a) (+ (* 2 (/ 1 b)) (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))))
(* (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 b)) 2) b)) (/ 1 a)))
Calls

6 calls:

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

simplify291.0ms (6.8%)

Memory
-38.1MiB live, 250.1MiB allocated; 52ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107403
1378397
21336356
36448356
08373327
Stop Event
iter limit
node limit
Counts
43 → 41
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 b 2) a)
(/ (+ (* 2 (* a b)) (pow b 2)) a)
(/ (+ (* a (+ a (* 2 b))) (pow b 2)) a)
(/ (pow b 2) (pow a 2))
(/ (+ (* 2 (* a b)) (pow b 2)) (pow a 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 a)
(* a (+ 2 (/ b a)))
a
(* a (+ 1 (* 2 (/ b a))))
(* a (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 2 (/ b a))
(/ (+ (* 2 b) (/ (pow b 2) a)) a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -2 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ (+ (* 2 b) (/ (pow b 2) a)) a)) 1)))
(* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* b (+ b (* 2 a)))
(+ a (* 2 b))
(+ a (* b (+ 2 (/ b a))))
(* b (+ (* 2 (/ 1 a)) (/ b (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 (* 2 (/ a b))))
(* (pow b 2) (+ (/ 1 a) (* 2 (/ 1 b))))
(* (pow b 2) (+ (/ 1 a) (+ (* 2 (/ 1 b)) (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))))
(* (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 b)) 2) b)) (/ 1 a)))
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) b a) a (*.f64 b b))
b
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (+ (* 2 (* a b)) (pow b 2)) a)
(*.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) b)
(/ (+ (* a (+ a (* 2 b))) (pow b 2)) a)
(fma.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) b a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (+ (* 2 (* a b)) (pow b 2)) (pow a 2))
(*.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) a) b)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(* 2 (* a b))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (/ b a)))
(fma.f64 #s(literal 2 binary64) a b)
a
(* a (+ 1 (* 2 (/ b a))))
(fma.f64 #s(literal 2 binary64) b a)
(* a (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) b a)
(* 2 (/ b a))
(*.f64 (/.f64 b a) #s(literal 2 binary64))
(/ (+ (* 2 b) (/ (pow b 2) a)) a)
(*.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) a) b)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)))
(* -1 (* a (- (* -2 (/ b a)) 1)))
(*.f64 (neg.f64 a) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (+ (* 2 b) (/ (pow b 2) a)) a)) 1)))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (/.f64 b a) (-.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 1 binary64)))
(* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))
(*.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) a) b)
(+ (* 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) b a) a (*.f64 b b))
(* b (+ b (* 2 a)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ a (* 2 b))
(fma.f64 #s(literal 2 binary64) b a)
(+ a (* b (+ 2 (/ b a))))
(fma.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) b a)
(* b (+ (* 2 (/ 1 a)) (/ b (pow a 2))))
(*.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) a) 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 (fma.f64 (*.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -2 binary64))) b 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 a) (* 2 (/ 1 b))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) b (/.f64 b a)) b)
(* (pow b 2) (+ (/ 1 a) (+ (* 2 (/ 1 b)) (/ a (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal 2 binary64)) b) b (/.f64 b a)) b)
(* (pow b 2) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) b (/.f64 b a)) a) 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 (- (* -2 (/ a b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ a b)) 2) b)) (/ 1 a)))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal 2 binary64)) b) b (/.f64 b a)) b)

rewrite160.0ms (3.7%)

Memory
36.4MiB live, 221.3MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020124
032116
1131116
21047108
08706108
Stop Event
iter limit
node limit
iter limit
Counts
12 → 443
Calls
Call 1
Inputs
#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 #s(literal 2 binary64) a b)
(fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a)
(*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a)
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a))
(*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64)))
(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)))
(*.f64 a a)
Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (pow.f64 b #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
#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)
(*.f64 b (fma.f64 #s(literal -2 binary64) a b))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (*.f64 (neg.f64 b) b)) b)) (fma.f64 #s(literal -2 binary64) a b))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64))) b)) (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) a (neg.f64 b)) b)))
(/.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (*.f64 (neg.f64 b) b)))) (fma.f64 #s(literal -2 binary64) a b))
(/.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64))))) (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) a (neg.f64 b)) b)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) a b) b) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) a (neg.f64 b)) b))
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (*.f64 (neg.f64 b) b)) b) (fma.f64 #s(literal -2 binary64) a (neg.f64 b)))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64))) b) (fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)))
(/.f64 (*.f64 b (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (*.f64 (neg.f64 b) b))) (fma.f64 #s(literal -2 binary64) a (neg.f64 b)))
(/.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)))
(/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -2 binary64) a) b)))))
(/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b))))
(/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) a b) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 #s(literal -2 binary64) (*.f64 b a)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) b)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 #s(literal -2 binary64) a) b))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b))) b (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b))) b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -2 binary64) (*.f64 b a)))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) b)))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 #s(literal -2 binary64) a) b))
(fma.f64 (*.f64 #s(literal -2 binary64) a) b (*.f64 b b))
(fma.f64 #s(literal 2 binary64) (*.f64 b a) (*.f64 b b))
(fma.f64 (+.f64 b a) b (*.f64 b a))
(fma.f64 b (/.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b))) (*.f64 b (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)))))
(fma.f64 b (*.f64 #s(literal -2 binary64) a) (*.f64 b b))
(fma.f64 b (+.f64 b a) (*.f64 b a))
(fma.f64 b b (*.f64 #s(literal -2 binary64) (*.f64 b a)))
(fma.f64 b b (*.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a)))
(fma.f64 b b (*.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) b)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -2 binary64) a) b))
(fma.f64 b a (*.f64 (+.f64 b a) b))
(fma.f64 a (*.f64 #s(literal 2 binary64) b) (*.f64 b b))
(fma.f64 a b (*.f64 (+.f64 b a) b))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)))
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)))))
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 b b) (*.f64 #s(literal -2 binary64) (*.f64 b a)))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a)))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -2 binary64) a) b))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b))) b) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b))) b))
(+.f64 (*.f64 b (/.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)))) (*.f64 b (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)))))
(+.f64 (*.f64 (+.f64 b a) b) (*.f64 b a))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 b b))
(+.f64 (*.f64 b a) (*.f64 (+.f64 b a) b))
(+.f64 (*.f64 b b) (*.f64 #s(literal -2 binary64) (*.f64 b a)))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a)))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) b)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -2 binary64) a) b))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal -2 binary64) a b)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal -2 binary64) a b))) (*.f64 (/.f64 (*.f64 (neg.f64 b) b) (fma.f64 #s(literal -2 binary64) a b)) (/.f64 (*.f64 (neg.f64 b) b) (fma.f64 #s(literal -2 binary64) a b)))) (fma.f64 #s(literal -2 binary64) a (neg.f64 b)))
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(+.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -2 binary64) a) b (*.f64 a a)))
(+.f64 (*.f64 b b) (fma.f64 b a (*.f64 (+.f64 b a) a)))
#s(approx (* (+ a b) (+ a b)) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(sqrt.f64 (pow.f64 a #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))

eval94.0ms (2.2%)

Memory
-1.7MiB live, 188.9MiB allocated; 24ms collecting garbage
Compiler

Compiled 17 884 to 1 866 computations (89.6% saved)

prune9.0ms (0.2%)

Memory
-7.4MiB live, 37.9MiB allocated; 3ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New5321533
Fresh000
Picked134
Done011
Total5335538
Accuracy
100.0%
Counts
538 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.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)))
100.0%
#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)))
99.7%
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
98.5%
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Compiler

Compiled 67 to 35 computations (47.8% saved)

simplify58.0ms (1.3%)

Memory
15.3MiB live, 61.8MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 b a) b)
cost-diff0
(+.f64 b a)
cost-diff0
#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)))
cost-diff3
(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0838
01232
13232
27132
321732
456332
591932
6160432
7236832
8278732
9306532
10318932
11322532
0322532
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)))
(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
(+.f64 b a)
b
a
(*.f64 (+.f64 b a) b)
Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)))
#s(approx (* (+ a b) (+ a b)) (*.f64 (+.f64 b a) (+.f64 b a)))
(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
(*.f64 (+.f64 b a) (+.f64 b a))
(+.f64 b a)
b
a
(*.f64 (+.f64 b a) b)

localize27.0ms (0.6%)

Memory
-8.3MiB live, 46.0MiB allocated; 6ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 b a)
accuracy0.0
#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)))
accuracy0.00390625
(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
accuracy0.01171875
(*.f64 (+.f64 b a) b)
Samples
18.0ms256×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 4.0ms (48.6% of total)
ival-mult: 4.0ms (48.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.2MiB live, 5.1MiB allocated; 0ms collecting garbage
Counts
4 → 25
Calls
Call 1
Inputs
(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)))
(+.f64 b a)
(*.f64 (+.f64 b a) b)
Outputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(+ (* a b) (pow b 2))
(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)))
(* a b)
(* a (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* b (+ a b))
(* (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 (/ 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
1.0ms
b
@-inf
((+ (* (+ b a) a) (* (+ b a) b)) (* (+ a b) (+ a b)) (+ b a) (* (+ b a) b))
1.0ms
b
@inf
((+ (* (+ b a) a) (* (+ b a) b)) (* (+ a b) (+ a b)) (+ b a) (* (+ b a) b))
1.0ms
a
@-inf
((+ (* (+ b a) a) (* (+ b a) b)) (* (+ a b) (+ a b)) (+ b a) (* (+ b a) b))
0.0ms
a
@inf
((+ (* (+ b a) a) (* (+ b a) b)) (* (+ a b) (+ a b)) (+ b a) (* (+ b a) b))
0.0ms
a
@0
((+ (* (+ b a) a) (* (+ b a) b)) (* (+ a b) (+ a b)) (+ b a) (* (+ b a) b))

simplify300.0ms (7%)

Memory
-61.3MiB live, 172.5MiB allocated; 75ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074219
1256209
2863201
33617201
08366184
Stop Event
iter limit
node limit
Counts
25 → 23
Calls
Call 1
Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(+ (* a b) (pow b 2))
(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)))
(* a b)
(* a (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* b (+ a b))
(* (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 (/ 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 a b)
(+ (* a b) (pow b 2))
(*.f64 (+.f64 a b) b)
(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)
(* a b)
(*.f64 a b)
(* a (+ b (/ (pow b 2) a)))
(*.f64 (fma.f64 (/.f64 b a) b b) 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)))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 (fma.f64 (/.f64 b a) b b) 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 (+ a b))
(*.f64 (+.f64 a 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 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 (fma.f64 (/.f64 a b) b 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 (- (* -1 (/ a b)) 1)))
(*.f64 (-.f64 (/.f64 a (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 b))

rewrite163.0ms (3.8%)

Memory
0.2MiB live, 186.6MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
01224
16724
255824
0816524
Stop Event
iter limit
node limit
iter limit
Counts
4 → 451
Calls
Call 1
Inputs
(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)))
(+.f64 b a)
(*.f64 (+.f64 b a) b)
Outputs
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (*.f64 b b)))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))) (+.f64 a b))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 a b)) (-.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 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 a b)) (*.f64 (-.f64 a b) (+.f64 a b))) (+.f64 a b))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 a b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 2 binary64)))) (-.f64 (*.f64 b b) (*.f64 (-.f64 a b) a)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 a b)) (+.f64 (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 a b) a) (-.f64 (*.f64 (-.f64 a b) a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 a b)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 a b)) (+.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 (*.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 a a (*.f64 b b)))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 a b)) (*.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (fma.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (+.f64 a b) (pow.f64 (*.f64 (+.f64 a b) a) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 (+.f64 a b) a) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 a b) (*.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) a)))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 a b) a) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)) (-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)) (pow.f64 (*.f64 (+.f64 a b) a) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 a b) a) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 a b)) (*.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 a b))) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (+.f64 a b)) (+.f64 a b))
(*.f64 (exp.f64 (log.f64 (+.f64 a b))) (exp.f64 (log.f64 (+.f64 a b))))
(*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (/.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 (-.f64 b a) (-.f64 a b))))
(*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (/.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 (-.f64 a b) (+.f64 a b)) (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (*.f64 (-.f64 b a) (-.f64 a b))))
(*.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(*.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (/.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (*.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 (-.f64 a b) (+.f64 a b)) (*.f64 (-.f64 a b) (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 (+.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a) (pow.f64 (*.f64 (+.f64 a b) a) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a) (pow.f64 (*.f64 (+.f64 a b) a) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (+.f64 a b)) (neg.f64 (+.f64 a b)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (*.f64 (-.f64 a b) (+.f64 a b))))
(*.f64 (+.f64 a b) (-.f64 b (neg.f64 a)))
(*.f64 (+.f64 a b) (-.f64 a (neg.f64 b)))
(*.f64 (+.f64 a b) (+.f64 a b))
(pow.f64 (exp.f64 (log.f64 (+.f64 a b))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (+.f64 a b)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 a b) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 a b)) (+.f64 a b)) (-.f64 a b))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (fabs.f64 (-.f64 b a))) (+.f64 a b)) (fabs.f64 (-.f64 b a)))
(/.f64 (*.f64 (fabs.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (+.f64 a b)) (fabs.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 a b))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (neg.f64 (+.f64 a b))) (-.f64 a b))
(/.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (+.f64 a b))) (-.f64 b a))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (+.f64 a b))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (*.f64 (neg.f64 (+.f64 a b)) (neg.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)))
(/.f64 (*.f64 (neg.f64 (+.f64 a b)) (*.f64 (-.f64 b a) (+.f64 a b))) (-.f64 a b))
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(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.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))))
(/.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 b a) b (*.f64 a a))))
(/.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (neg.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 (+.f64 a b) (fabs.f64 (-.f64 b a))) (fabs.f64 (-.f64 b a)))
(/.f64 (fabs.f64 (+.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 (*.f64 (-.f64 b a) (+.f64 a b)) (-.f64 b a))
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (-.f64 a b))
(/.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 a b)) (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.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 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 (neg.f64 (+.f64 a b)))
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 2 binary64)))) (-.f64 (*.f64 b b) (*.f64 (-.f64 a b) 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 a b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 a b) a) (-.f64 (*.f64 (-.f64 a b) a) (*.f64 b b)) (pow.f64 b #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 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (*.f64 b b)) (*.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (/.f64 (*.f64 a a) (*.f64 (-.f64 a b) (+.f64 a b))) (+.f64 a b) (*.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (/.f64 (*.f64 b b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (*.f64 b b)) (*.f64 a (/.f64 a (-.f64 a b))))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 b a) (+.f64 a b))) (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)) (/.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 (/.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)) (/.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 (pow.f64 a #s(literal 3 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 2 binary64)))) (-.f64 (*.f64 b b) (*.f64 (-.f64 a b) 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 a b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 a b) a) (-.f64 (*.f64 (-.f64 a b) a) (*.f64 b b)) (pow.f64 b #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 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 (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 (neg.f64 a) (/.f64 (neg.f64 a) (-.f64 a b)) (*.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) (-.f64 b a)) (*.f64 a (/.f64 a (-.f64 a b))))
(fma.f64 (fabs.f64 a) (/.f64 (fabs.f64 a) (-.f64 a b)) (*.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) (-.f64 b a)) (*.f64 a (/.f64 a (-.f64 a b))))
(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 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 a b)) (*.f64 b (/.f64 b (-.f64 b 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 b (/.f64 b (-.f64 b a)) (*.f64 a (/.f64 a (-.f64 a b))))
(sqrt.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 a b) a) (-.f64 a b)) (/.f64 (*.f64 (+.f64 a b) b) (-.f64 a b)))
(-.f64 (*.f64 b (/.f64 b (-.f64 b a))) (*.f64 a (/.f64 a (-.f64 b a))))
(-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))
(fabs.f64 (neg.f64 (+.f64 a b)))
(fabs.f64 (+.f64 a b))
(exp.f64 (/.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (+.f64 a b) a) (-.f64 a b)) (/.f64 (*.f64 (neg.f64 b) (+.f64 a b)) (-.f64 a b)))
(+.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 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 (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 b (/.f64 b (-.f64 b a))) (*.f64 a (/.f64 a (-.f64 a b))))
(+.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 b a))))
(+.f64 a b)
(+.f64 b a)
(*.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) b)) (-.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 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) b)) (*.f64 (-.f64 a b) (+.f64 a b))) (+.f64 a b))
(*.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) b (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 2 binary64)))) (-.f64 (*.f64 b b) (*.f64 (-.f64 a b) a)))
(*.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) b (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 a b) a) (-.f64 (*.f64 (-.f64 a b) a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) b (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)))
(*.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) b (pow.f64 b #s(literal 4 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 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (*.f64 b b)))
(*.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) b)) (*.f64 (-.f64 b a) (+.f64 a b))) (+.f64 a b))
(*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (/.f64 b (-.f64 b a)))
(*.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (/.f64 b (-.f64 a b)))
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 b (fma.f64 (-.f64 b a) b (*.f64 a a))))
(*.f64 (+.f64 a b) b)
(*.f64 b (+.f64 a b))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) b) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (*.f64 b (neg.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 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 a b) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) a))))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) a))))
(/.f64 (neg.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) b))) (-.f64 b a))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) b (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) b))) (-.f64 a b))
(/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) b)) (-.f64 a b))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) b (pow.f64 b #s(literal 4 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) b)) (-.f64 b a))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 b a) b))
(neg.f64 (*.f64 (neg.f64 b) (+.f64 a b)))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 a b))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 a b))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 a b))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 a b))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) b (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) b))
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) b (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a b))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 a b))
(fma.f64 a b (*.f64 b b))
(fma.f64 b (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (*.f64 b (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(fma.f64 b (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (*.f64 b (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(fma.f64 b a (*.f64 b b))
(fma.f64 b b (*.f64 a b))
(-.f64 (*.f64 a b) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)))
(-.f64 (*.f64 a b) (*.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 b)))
(-.f64 (*.f64 a b) (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) b))
(+.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) b) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) b))
(+.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) b) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) b))
(+.f64 (*.f64 b (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (*.f64 b (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(+.f64 (*.f64 b (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (*.f64 b (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(+.f64 (*.f64 a b) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 a b))

eval96.0ms (2.2%)

Memory
4.6MiB live, 234.0MiB allocated; 45ms collecting garbage
Compiler

Compiled 21 457 to 2 005 computations (90.7% saved)

prune14.0ms (0.3%)

Memory
-8.7MiB live, 37.7MiB allocated; 5ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New5780578
Fresh000
Picked011
Done044
Total5785583
Accuracy
100.0%
Counts
583 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.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)))
100.0%
#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)))
99.7%
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
98.5%
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Compiler

Compiled 156 to 61 computations (60.9% saved)

regimes9.0ms (0.2%)

Memory
23.1MiB live, 23.2MiB allocated; 0ms collecting garbage
Counts
6 → 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))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)))
#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 (fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a 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:

2.0ms
b
2.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms
(+.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)

regimes7.0ms (0.2%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Counts
4 → 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))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)))
Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)))
Calls

4 calls:

2.0ms
b
2.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms
(+.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)

regimes7.0ms (0.2%)

Memory
-31.1MiB live, 16.3MiB allocated; 1ms collecting garbage
Counts
3 → 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))
Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
Calls

4 calls:

2.0ms
a
2.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms
b
2.0ms
(+.f64 a b)
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)

regimes5.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
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
(+.f64 a b)
1.0ms
b
1.0ms
(*.f64 (+.f64 a b) (+.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
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
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
b
1.0ms
a
1.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms
(+.f64 a b)
Results
AccuracySegmentsBranch
98.5%1(+.f64 a b)
98.5%1(*.f64 (+.f64 a b) (+.f64 a b))
98.5%1a
98.5%1b
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify72.0ms (1.7%)

Memory
-26.8MiB live, 71.5MiB allocated; 24ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01967
13267
27267
319267
453567
589367
6172067
7411067
8622467
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)))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)))
(*.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)))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)))
(*.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))

derivations363.0ms (8.4%)

Memory
-1.6MiB live, 197.2MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020124
032116
1131116
21047108
08706108
065179
1218169
2725161
33280161
08199147
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 67 to 19 computations (71.6% saved)

preprocess79.0ms (1.8%)

Memory
12.8MiB live, 58.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 246 to 98 computations (60.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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