Difference of squares

Time bar (total: 3.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample800.0ms (26.7%)

Memory
0.1MiB live, 751.8MiB allocated; 124ms collecting garbage
Samples
495.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 291.0ms
ival-mult: 169.0ms (58% of total)
ival-sub: 112.0ms (38.5% of total)
ival-true: 5.0ms (1.7% of total)
ival-assert: 3.0ms (1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain64.0ms (2.2%)

Memory
-5.0MiB live, 144.8MiB allocated; 13ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
240-0-(-.f64 (*.f64 a a) (*.f64 b b))
00-0-(*.f64 a a)
00-0-a
00-0-b
00-0-(*.f64 b b)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 a a) (*.f64 b b))nan-rescue240
(*.f64 a a)overflow70
(*.f64 b b)overflow79
Confusion
Predicted +Predicted -
+240
-0232
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2400
-00232
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0232
124
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (69.5% of total)
ival-sub: 2.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess117.0ms (3.9%)

Memory
-35.3MiB live, 119.2MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
14835
221535
337135
490935
5192335
6292635
7326935
8334735
9334735
10354635
057
087
1217
2817
32237
44037
58367
613857
720697
828987
932087
1032707
1132707
1233487
033487
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 a a) (*.f64 b b))
Outputs
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 (-.f64 a b) (+.f64 b a))
Symmetry

(abs b)

(abs a)

Compiler

Compiled 7 to 5 computations (28.6% 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
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.6%
(-.f64 (*.f64 a a) (*.f64 b b))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify97.0ms (3.2%)

Memory
25.1MiB live, 71.8MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
12115
28115
322315
440315
583615
6138515
7206915
8289815
9320815
10327015
11327015
12334815
0334815
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
Outputs
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 a a)
a
(*.f64 b b)
b

localize19.0ms (0.6%)

Memory
-14.9MiB live, 31.5MiB allocated; 2ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 b b)
accuracy0.0
(*.f64 a a)
accuracy5.3945064799624705
(-.f64 (*.f64 a a) (*.f64 b b))
Samples
14.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (52.1% of total)
ival-sub: 2.0ms (34.8% 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
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
3 → 7
Calls
Call 1
Inputs
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
(*.f64 b b)
Outputs
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(+ (* -1 (pow b 2)) (pow a 2))
(pow b 2)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@inf
((- (* a a) (* b b)) (* a a) (* b b))
1.0ms
a
@0
((- (* a a) (* b b)) (* a a) (* b b))
0.0ms
b
@inf
((- (* a a) (* b b)) (* a a) (* b b))
0.0ms
a
@-inf
((- (* a a) (* b b)) (* a a) (* b b))
0.0ms
b
@-inf
((- (* a a) (* b b)) (* a a) (* b b))

simplify92.0ms (3.1%)

Memory
-3.0MiB live, 139.7MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01744
14044
213644
382944
4343744
0861343
Stop Event
iter limit
node limit
Counts
7 → 7
Calls
Call 1
Inputs
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(+ (* -1 (pow b 2)) (pow a 2))
(pow b 2)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
Outputs
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(- (pow a 2) (pow b 2))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal -1 binary64)) (*.f64 b b))

rewrite75.0ms (2.5%)

Memory
2.9MiB live, 95.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13713
232913
3447013
0829112
Stop Event
iter limit
node limit
iter limit
Counts
3 → 91
Calls
Call 1
Inputs
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
(*.f64 b b)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a a)))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64))))) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 12 binary64)))) (fma.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))
(*.f64 (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (fma.f64 b b (*.f64 a a)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 a b)) (+.f64 b a))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 b a)) (-.f64 a b))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 b a)) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 a b)) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(/.f64 (*.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(/.f64 (*.f64 (-.f64 a b) (fma.f64 b b (*.f64 a a))) (-.f64 a b))
(/.f64 (*.f64 (+.f64 b a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(/.f64 (*.f64 (+.f64 b a) (fma.f64 b b (*.f64 a a))) (+.f64 b a))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b)) (-.f64 a b))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (+.f64 b a)) (+.f64 b a))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) #s(literal 2 binary64))) (fma.f64 b b (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 b b (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 a a)))
(/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (*.f64 a a))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (+.f64 b a) (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (-.f64 a b) (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 18 binary64)) (pow.f64 b #s(literal 18 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (*.f64 b a) #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (*.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (*.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (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 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 b b (*.f64 a a)))
(neg.f64 (fma.f64 b b (*.f64 a a)))
(fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64))))) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (pow.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 12 binary64)))) (fma.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a a)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 a (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(fma.f64 (-.f64 a b) b (*.f64 (-.f64 a b) a))
(fma.f64 (-.f64 a b) a (*.f64 (-.f64 a b) b))
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 a a) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 b (-.f64 a b) (*.f64 a (-.f64 a b)))
(fma.f64 b b (*.f64 a a))
(fma.f64 (*.f64 a a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (*.f64 a a) (/.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(fma.f64 a (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(fma.f64 a (-.f64 a b) (*.f64 b (-.f64 a b)))
(fma.f64 a a (*.f64 b b))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(-.f64 (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b)))
(+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b)))
(+.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) a))
(+.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) b))
(+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 b (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(+.f64 (*.f64 b b) (*.f64 a a))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 a))
(pow.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(neg.f64 (*.f64 a a))
(sqrt.f64 (pow.f64 a #s(literal 4 binary64)))
(fabs.f64 (*.f64 a a))
(exp.f64 (/.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 1 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))))
(*.f64 b b)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(pow.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 b b))
(sqrt.f64 (pow.f64 b #s(literal 4 binary64)))
(fabs.f64 (*.f64 b b))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 1 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))))

eval9.0ms (0.3%)

Memory
21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 864 to 265 computations (85.8% saved)

prune2.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New93396
Fresh000
Picked101
Done000
Total94397
Accuracy
100.0%
Counts
97 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 a b) a (*.f64 (-.f64 a b) b))
100.0%
(*.f64 (-.f64 a b) (+.f64 b a))
57.5%
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
Compiler

Compiled 29 to 18 computations (37.9% saved)

simplify79.0ms (2.6%)

Memory
-41.5MiB live, 59.5MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01354
02151
14251
210951
326251
444151
587051
6140451
7208951
8290751
9321651
10327851
11327851
12335651
0335651
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 a b)
a
b
(+.f64 b a)
(fma.f64 (-.f64 a b) a (*.f64 (-.f64 a b) b))
(-.f64 a b)
a
b
(*.f64 (-.f64 a b) b)
Outputs
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (+.f64 b a) (-.f64 a b))
(-.f64 a b)
a
b
(+.f64 b a)
(fma.f64 (-.f64 a b) a (*.f64 (-.f64 a b) b))
(*.f64 (+.f64 b a) (-.f64 a b))
(-.f64 a b)
a
b
(*.f64 (-.f64 a b) b)

localize34.0ms (1.1%)

Memory
15.6MiB live, 62.4MiB allocated; 1ms collecting garbage
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 a b)
accuracy0.00390625
(fma.f64 (-.f64 a b) a (*.f64 (-.f64 a b) b))
accuracy0.0078125
(*.f64 (-.f64 a b) b)
accuracy0.0
(-.f64 a b)
accuracy0.0
(+.f64 b a)
accuracy0.00390625
(*.f64 (-.f64 a b) (+.f64 b a))
accuracy0.0
(*.f64 (neg.f64 b) b)
accuracy0.0
(neg.f64 b)
accuracy27.191113825948744
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
Samples
24.0ms256×0valid
Compiler

Compiled 52 to 15 computations (71.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (59.7% of total)
ival-sub: 2.0ms (13.3% of total)
ival-add: 2.0ms (13.3% of total)
ival-neg: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.3%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Counts
8 → 39
Calls
Call 1
Inputs
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 a b)
(+.f64 b a)
(fma.f64 (-.f64 a b) a (*.f64 (-.f64 a b) b))
(*.f64 (-.f64 a b) b)
Outputs
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(* -1 b)
(- a b)
b
(+ a b)
(+ (* -1 (pow b 2)) (* a b))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (/ b a)))
(* a b)
(* a (+ b (* -1 (/ (pow b 2) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 b)) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ b (+ (* -1 b) (/ (pow b 2) a))) a))))
(* -1 (* a (+ (* -1 b) (/ (pow b 2) a))))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ a (* -1 b))
(* b (+ a (* -1 b)))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* b (- (/ a b) 1))
(* b (+ 1 (/ a b)))
(* (pow b 2) (- (/ a b) 1))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
Calls

6 calls:

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

simplify145.0ms (4.8%)

Memory
6.5MiB live, 146.7MiB allocated; 17ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111276
1384262
21351261
35046261
08075256
Stop Event
iter limit
node limit
Counts
39 → 37
Calls
Call 1
Inputs
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(* -1 b)
(- a b)
b
(+ a b)
(+ (* -1 (pow b 2)) (* a b))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (/ b a)))
(* a b)
(* a (+ b (* -1 (/ (pow b 2) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 b)) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ b (+ (* -1 b) (/ (pow b 2) a))) a))))
(* -1 (* a (+ (* -1 b) (/ (pow b 2) a))))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ a (* -1 b))
(* b (+ a (* -1 b)))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* b (- (/ a b) 1))
(* b (+ 1 (/ a b)))
(* (pow b 2) (- (/ a b) 1))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
Outputs
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(- (pow a 2) (pow b 2))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(*.f64 (neg.f64 b) b)
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
b
(+ a b)
(+.f64 b a)
(+ (* -1 (pow b 2)) (* a b))
(*.f64 (-.f64 a b) b)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64)) a) a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64)) a) a)
a
(* a (+ 1 (* -1 (/ b a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(* a b)
(*.f64 b a)
(* a (+ b (* -1 (/ (pow b 2) a))))
(*.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64)) a) a)
(* -1 (* a (- (/ b a) 1)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 b)) a))))
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (+ b (+ (* -1 b) (/ (pow b 2) a))) a))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal 1 binary64)) a) a)
(* -1 (* a (+ (* -1 b) (/ (pow b 2) a))))
(*.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) a)
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(+ (* b (+ a (* -1 a))) (pow a 2))
(*.f64 a a)
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(+ a (* -1 b))
(-.f64 a b)
(* b (+ a (* -1 b)))
(*.f64 (-.f64 a b) b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal -1 binary64)) (*.f64 b b))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal -1 binary64)) (*.f64 b b))
(* b (- (/ a b) 1))
(*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(* (pow b 2) (- (/ a b) 1))
(*.f64 (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) b)
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal -1 binary64)) (*.f64 b b))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(fma.f64 (/.f64 a b) b (neg.f64 b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) (neg.f64 b))

rewrite210.0ms (7%)

Memory
-42.4MiB live, 158.9MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01346
02143
18643
275937
01025837
Stop Event
iter limit
node limit
iter limit
Counts
8 → 713
Calls
Call 1
Inputs
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 a b)
(+.f64 b a)
(fma.f64 (-.f64 a b) a (*.f64 (-.f64 a b) b))
(*.f64 (-.f64 a b) b)
Outputs
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(*.f64 b (neg.f64 b))
(neg.f64 (*.f64 b b))
(neg.f64 b)
(*.f64 (*.f64 (-.f64 b a) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(*.f64 (neg.f64 (+.f64 b (neg.f64 a))) (-.f64 b (neg.f64 a)))
(*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (-.f64 b a)) (fabs.f64 (-.f64 b a)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(*.f64 (-.f64 b (neg.f64 a)) (+.f64 b (neg.f64 a)))
(*.f64 (+.f64 b (neg.f64 a)) (neg.f64 (-.f64 b (neg.f64 a))))
(*.f64 (+.f64 b (neg.f64 a)) (-.f64 b (neg.f64 a)))
(*.f64 (-.f64 b a) (-.f64 b (neg.f64 a)))
(*.f64 (-.f64 b a) (-.f64 b a))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 b a) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 a (-.f64 b a)) (*.f64 (-.f64 b a) a)) (*.f64 (/.f64 a (-.f64 b a)) (*.f64 (-.f64 b a) a))) (*.f64 (*.f64 (/.f64 b (-.f64 b a)) (*.f64 (-.f64 b a) b)) (*.f64 (/.f64 b (-.f64 b a)) (*.f64 (-.f64 b a) b)))) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 2 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 b a) a) #s(literal 2 binary64)))))) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
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(/.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (*.f64 (-.f64 b a) b))
(neg.f64 (*.f64 (-.f64 b a) b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 a) b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 b a))
(fma.f64 (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a)) (neg.f64 b) (*.f64 (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a)) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a)) b (*.f64 (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b 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 (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a)) (neg.f64 b) (*.f64 (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a)) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a)) b (*.f64 (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a)) b))
(fma.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (neg.f64 b) (*.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 a a) (-.f64 b a)) b (*.f64 (/.f64 (*.f64 b b) (-.f64 b a)) b))
(fma.f64 (neg.f64 b) (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a)) (*.f64 (neg.f64 b) (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a))))
(fma.f64 (neg.f64 b) (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a)) (*.f64 (neg.f64 b) (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a))))
(fma.f64 (neg.f64 b) (/.f64 (*.f64 a a) (-.f64 b a)) (*.f64 (neg.f64 b) (/.f64 (*.f64 b b) (-.f64 b a))))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 a) b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 b a))
(fma.f64 b (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a)) (*.f64 b (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b 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 (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a)) (*.f64 b (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a))))
(fma.f64 b (/.f64 (*.f64 a a) (-.f64 b a)) (*.f64 b (/.f64 (*.f64 b b) (-.f64 b a))))
(fma.f64 b b (*.f64 (neg.f64 a) b))
(fma.f64 b b (*.f64 b a))
(fma.f64 b a (*.f64 b b))
(fma.f64 a b (*.f64 b b))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 b a) b)) (/.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 (-.f64 b a) b)))
(-.f64 (*.f64 b a) (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) b))
(-.f64 (*.f64 b b) (*.f64 b a))
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a)) (neg.f64 b)) (*.f64 (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a)) (neg.f64 b)))
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a)) (neg.f64 b)) (*.f64 (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a)) (neg.f64 b)))
(+.f64 (*.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (neg.f64 b)) (*.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (neg.f64 b)))
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a)) b) (*.f64 (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a)) b))
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a)) b) (*.f64 (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a)) b))
(+.f64 (*.f64 (/.f64 (*.f64 a a) (-.f64 b a)) b) (*.f64 (/.f64 (*.f64 b b) (-.f64 b 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 (neg.f64 b) (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a))) (*.f64 (neg.f64 b) (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a))))
(+.f64 (*.f64 (neg.f64 b) (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a))) (*.f64 (neg.f64 b) (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a))))
(+.f64 (*.f64 (neg.f64 b) (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (neg.f64 b) (/.f64 (*.f64 b b) (-.f64 b a))))
(+.f64 (*.f64 b (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a))) (*.f64 b (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a))))
(+.f64 (*.f64 b (/.f64 (*.f64 (-.f64 b a) a) (-.f64 b a))) (*.f64 b (/.f64 (*.f64 (-.f64 b a) b) (-.f64 b a))))
(+.f64 (*.f64 b (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 b (/.f64 (*.f64 b b) (-.f64 b 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 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) a))) (/.f64 (pow.f64 (*.f64 b a) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) a))))
(+.f64 (*.f64 b a) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 a) b))
(+.f64 (*.f64 b b) (*.f64 b a))

eval118.0ms (4%)

Memory
25.7MiB live, 115.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 17 705 to 1 396 computations (92.1% saved)

prune25.0ms (0.8%)

Memory
-23.0MiB live, 31.8MiB allocated; 4ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New6292631
Fresh000
Picked123
Done000
Total6304634
Accuracy
100.0%
Counts
634 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.3%
(fma.f64 a a (*.f64 (neg.f64 b) b))
100.0%
(*.f64 (-.f64 a b) (+.f64 b a))
57.5%
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
50.2%
#s(approx (- (* a a) (* b b)) (*.f64 a a))
Compiler

Compiled 37 to 25 computations (32.4% saved)

simplify101.0ms (3.4%)

Memory
34.5MiB live, 76.2MiB allocated; 6ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
01430
13030
29330
319730
437730
580830
6135530
7204130
8287830
9318730
10324830
11324830
12332630
0332630
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
a
(fma.f64 a a (*.f64 (neg.f64 b) b))
a
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
Outputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
a
(fma.f64 a a (*.f64 (neg.f64 b) b))
(*.f64 (-.f64 a b) (+.f64 b a))
a
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b

localize93.0ms (3.1%)

Memory
-11.6MiB live, 59.9MiB allocated; 29ms collecting garbage
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (neg.f64 b) b)
accuracy0.0
(neg.f64 b)
accuracy2.9999669712667223
(fma.f64 a a (*.f64 (neg.f64 b) b))
accuracy0.0
(*.f64 a a)
accuracy31.852137211118144
#s(approx (- (* a a) (* b b)) (*.f64 a a))
Samples
45.0ms256×0valid
Compiler

Compiled 29 to 10 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 31.0ms (89.2% of total)
ival-sub: 1.0ms (2.9% of total)
ival-add: 1.0ms (2.9% of total)
ival-neg: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Counts
5 → 7
Calls
Call 1
Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
(fma.f64 a a (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
Outputs
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* -1 b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
b
@inf
((- (* a a) (* b b)) (* a a) (+ (* a a) (* (neg b) b)) (* (neg b) b) (neg b))
1.0ms
b
@-inf
((- (* a a) (* b b)) (* a a) (+ (* a a) (* (neg b) b)) (* (neg b) b) (neg b))
1.0ms
a
@inf
((- (* a a) (* b b)) (* a a) (+ (* a a) (* (neg b) b)) (* (neg b) b) (neg b))
1.0ms
a
@-inf
((- (* a a) (* b b)) (* a a) (+ (* a a) (* (neg b) b)) (* (neg b) b) (neg b))
0.0ms
a
@0
((- (* a a) (* b b)) (* a a) (+ (* a a) (* (neg b) b)) (* (neg b) b) (neg b))

simplify210.0ms (7%)

Memory
23.5MiB live, 220.7MiB allocated; 42ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01843
14343
213443
378643
4341643
0859042
Stop Event
iter limit
node limit
Counts
7 → 7
Calls
Call 1
Inputs
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* -1 b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
Outputs
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(- (pow a 2) (pow b 2))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(* -1 b)
(neg.f64 b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal -1 binary64)) (*.f64 b b))

rewrite177.0ms (5.9%)

Memory
-27.0MiB live, 125.1MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
01427
15627
245527
3605827
0827525
Stop Event
iter limit
node limit
iter limit
Counts
5 → 134
Calls
Call 1
Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
(fma.f64 a a (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
Outputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.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 (*.f64 (neg.f64 a) a) #s(literal 1 binary64))
(pow.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/2 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 (*.f64 (log.f64 (neg.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 a))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(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 (neg.f64 a)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.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))))
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64))))) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a a)))
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (-.f64 (neg.f64 a) b) (+.f64 (neg.f64 a) b))
(*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))
(*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (/.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (+.f64 (neg.f64 a) b)) (-.f64 (neg.f64 a) b))
(/.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 a b)) (+.f64 b a))
(/.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a)) (-.f64 a b))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 b a)) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 a b)) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (*.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(/.f64 (*.f64 (+.f64 b a) (fma.f64 b b (*.f64 a a))) (+.f64 b a))
(/.f64 (*.f64 (-.f64 a b) (fma.f64 b b (*.f64 a a))) (-.f64 a b))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b)) (-.f64 a b))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (+.f64 b a)) (+.f64 b a))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) #s(literal 2 binary64))) (fma.f64 b b (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 b b (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (*.f64 a a))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (-.f64 a b) (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 18 binary64)) (pow.f64 b #s(literal 18 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (*.f64 b a) #s(literal 6 binary64))) (pow.f64 a #s(literal 12 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (*.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a a))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 a a)))
(neg.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
(neg.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)))
(neg.f64 (fma.f64 b b (*.f64 a a)))
(fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64))))) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64))))) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a a)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 b b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 a a))
(fma.f64 (*.f64 (neg.f64 a) a) (/.f64 (*.f64 (neg.f64 a) a) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (neg.f64 a) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 a (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (-.f64 a b) b (*.f64 (-.f64 a b) a))
(fma.f64 (-.f64 a b) a (*.f64 (-.f64 a b) b))
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (*.f64 (neg.f64 b) b) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (*.f64 b b) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 a a) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (neg.f64 a) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 b b))
(fma.f64 (neg.f64 a) a (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 (neg.f64 b) b) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 (*.f64 a a) (/.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(fma.f64 (*.f64 a a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (*.f64 b b) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 b (-.f64 a b) (*.f64 a (-.f64 a b)))
(fma.f64 b (neg.f64 b) (*.f64 (neg.f64 a) a))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(fma.f64 b b (*.f64 a a))
(fma.f64 a (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(fma.f64 a (-.f64 a b) (*.f64 b (-.f64 a b)))
(fma.f64 a (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(fma.f64 a a (*.f64 b b))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(-.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 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(-.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) a))
(-.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
(+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b)))
(+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b)))
(+.f64 (*.f64 (-.f64 a b) b) (*.f64 (-.f64 a b) a))
(+.f64 (*.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) b))
(+.f64 (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 b) b))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(+.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) a))
(+.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(+.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (neg.f64 b) b)
(*.f64 b (neg.f64 b))
(neg.f64 (*.f64 b b))
(neg.f64 b)

eval38.0ms (1.3%)

Memory
-20.5MiB live, 26.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 921 to 340 computations (88.4% saved)

prune4.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1400140
Fresh000
Picked022
Done022
Total1404144
Accuracy
100.0%
Counts
144 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.3%
(fma.f64 a a (*.f64 (neg.f64 b) b))
100.0%
(*.f64 (-.f64 a b) (+.f64 b a))
57.5%
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
50.2%
#s(approx (- (* a a) (* b b)) (*.f64 a a))
Compiler

Compiled 91 to 43 computations (52.7% saved)

regimes11.0ms (0.4%)

Memory
27.0MiB live, 27.0MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(fma.f64 (-.f64 a b) a (*.f64 (-.f64 a b) b))
Outputs
(*.f64 (-.f64 a b) (+.f64 b a))
Calls

5 calls:

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

Compiled 15 to 15 computations (0% saved)

regimes46.0ms (1.6%)

Memory
-21.2MiB live, 27.0MiB allocated; 36ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
Outputs
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
#s(approx (- (* a a) (* b b)) (*.f64 a a))
Calls

5 calls:

41.0ms
a
1.0ms
b
1.0ms
(*.f64 a a)
1.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
82.3%2(*.f64 b b)
80.0%2(*.f64 a a)
94.4%2(-.f64 (*.f64 a a) (*.f64 b b))
80.0%2a
82.3%2b
Compiler

Compiled 15 to 15 computations (0% saved)

regimes5.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
b
1.0ms
a
1.0ms
(*.f64 b b)
1.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
1.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
50.2%1(*.f64 a a)
50.2%1a
50.2%1(*.f64 b b)
50.2%1b
50.2%1(-.f64 (*.f64 a a) (*.f64 b b))
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.225179723592272e-293
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

simplify79.0ms (2.7%)

Memory
-27.5MiB live, 68.0MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01851
13951
210451
324751
442551
586051
6140951
7209351
8292451
9323451
10329651
11329651
12337451
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 a b) (+.f64 b a))
(if (<=.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal -449423283715579/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) #s(approx (- (* a a) (* b b)) (*.f64 a a)))
#s(approx (- (* a a) (* b b)) (*.f64 a a))
Outputs
(*.f64 (-.f64 a b) (+.f64 b a))
(if (<=.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal -449423283715579/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)) #s(approx (- (* a a) (* b b)) (*.f64 a a)))
#s(approx (- (* a a) (* b b)) (*.f64 a a))

derivations262.0ms (8.8%)

Memory
12.1MiB live, 243.0MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13713
232913
3447013
0829112
0111276
1384262
21351261
35046261
08075256
01744
14044
213644
382944
4343744
0861343
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 51 to 18 computations (64.7% saved)

preprocess61.0ms (2%)

Memory
-8.8MiB live, 88.4MiB allocated; 17ms collecting garbage
Remove

(abs a)

(abs b)

Compiler

Compiled 158 to 76 computations (51.9% saved)

end0.0ms (0%)

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

Profiling

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