NMSE Section 6.1 mentioned, B

Time bar (total: 8.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze125.0ms (1.5%)

Memory
17.3MiB live, 175.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.6s (19.8%)

Memory
-131.4MiB live, 1 809.7MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 748.0ms
ival-div: 301.0ms (40.2% of total)
ival-mult: 258.0ms (34.5% of total)
ival-sub: 133.0ms (17.8% of total)
ival-pi: 37.0ms (4.9% of total)
exact: 9.0ms (1.2% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain218.0ms (2.6%)

Memory
24.6MiB live, 263.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
390-3(2.1270741382424537e-284 1.6361548196067679e+159)(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
160-0-(-.f64 (*.f64 b b) (*.f64 a a))
50-0-(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
00-0-(*.f64 a a)
00-0-a
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 b b)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 1 binary64) b)
00-0-(/.f64 #s(literal 1 binary64) a)
00-0-b
00-0-(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))n*u360
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue160
(*.f64 b b)overflow61
(*.f64 a a)overflow66
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o50
(*.f64 b b)overflow61
(*.f64 a a)overflow66
(-.f64 (*.f64 b b) (*.f64 a a))overflow111
Confusion
Predicted +Predicted -
+567
-1192
Precision
0.9824561403508771
Recall
0.8888888888888888
Confusion?
Predicted +Predicted MaybePredicted -
+5607
-10192
Precision?
0.9824561403508771
Recall?
0.8888888888888888
Freqs
test
numberfreq
0199
157
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
54.0ms512×0valid
Compiler

Compiled 256 to 64 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 14.0ms (39.6% of total)
ival-mult: 13.0ms (36.7% of total)
ival-sub: 5.0ms (14.1% of total)
ival-pi: 2.0ms (5.7% of total)
ival-true: 1.0ms (2.8% of total)
exact: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)

preprocess170.0ms (2.1%)

Memory
-20.8MiB live, 171.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033109
111595
241895
3208795
4606095
01521
02621
14619
210819
339318
4156917
5428017
0840517
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 b a)))
Symmetry

(sort a b)

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.2%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify160.0ms (1.9%)

Memory
27.7MiB live, 187.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 b b) (*.f64 a a))
cost-diff320
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
cost-diff320
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
cost-diff384
(/.f64 (PI.f64) #s(literal 2 binary64))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01577
02677
14673
210873
339372
4156971
5428071
0840571
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
#s(literal 1 binary64)
(-.f64 (*.f64 b b) (*.f64 a a))
(*.f64 b b)
b
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))
#s(literal 1 binary64)
(-.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (-.f64 b a) (+.f64 a b))
(*.f64 b b)
b
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)

localize48.0ms (0.6%)

Memory
11.7MiB live, 48.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.18359375
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy0.7662321457415475
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy3.3945229933208236
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy8.522759714325046
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Samples
38.0ms256×0valid
Compiler

Compiled 156 to 32 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 19.0ms (65.9% of total)
ival-mult: 6.0ms (20.8% of total)
ival-sub: 2.0ms (6.9% of total)
ival-pi: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory
-7.3MiB live, 39.7MiB allocated
Counts
5 → 52
Calls
Call 1
Inputs
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 b b) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(pow b 2)
(+ (* -1 (pow a 2)) (pow b 2))
(/ 1 (pow b 2))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(- (pow b 2) (pow a 2))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
Calls

6 calls:

TimeVariablePointExpression
28.0ms
a
@0
((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
b
@inf
((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
a
@inf
((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
b
@0
((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
1.0ms
a
@-inf
((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))

simplify181.0ms (2.2%)

Memory
-16.1MiB live, 209.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911138
17681118
222931080
363891080
083451013
Stop Event
iter limit
node limit
Counts
52 → 52
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(pow b 2)
(+ (* -1 (pow a 2)) (pow b 2))
(/ 1 (pow b 2))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(- (pow b 2) (pow a 2))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) a)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64)) a)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(* 1/2 (/ (PI) (pow b 2)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a) (PI.f64) (/.f64 (PI.f64) (*.f64 b b))) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) a) a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) a) a (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 a a)))
(pow b 2)
(*.f64 b b)
(+ (* -1 (pow a 2)) (pow b 2))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64)) (*.f64 b b))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 8 binary64))) a (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 a #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) a (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (*.f64 a a))
(* -1/2 (/ (PI) (pow a 2)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 b b) (PI.f64)) a) a) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64)) a))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (+.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64)))) a))
(* -1 (pow a 2))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (*.f64 a a))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a)
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.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)))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) a) b) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) a)) a)) (*.f64 a a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) b)) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) b)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(*.f64 (fma.f64 (*.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) b) (PI.f64) (/.f64 (/.f64 (PI.f64) a) a)) #s(literal -1/2 binary64))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) b) b (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b) (/.f64 (/.f64 (PI.f64) a) a)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) a) (PI.f64) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 8 binary64))) b) b (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64)))) (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 b b)))
(- (pow b 2) (pow a 2))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a)
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(-.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) b (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 8 binary64))) (neg.f64 b) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 b #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))) (*.f64 b b))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) a) a (PI.f64)) b) b) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (PI.f64)))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (+.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (PI.f64)) (*.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) a) a) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) b)) b)) (*.f64 b b))

rewrite222.0ms (2.7%)

Memory
-9.1MiB live, 255.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
02649
112449
2112349
0919349
Stop Event
iter limit
node limit
iter limit
Counts
5 → 583
Calls
Call 1
Inputs
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(-.f64 (*.f64 b b) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
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(*.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) b a))
(/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))
(/.f64 (fma.f64 a a (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
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(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))
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(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a)))
(neg.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))
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(fma.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
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(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a)))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))

eval77.0ms (0.9%)

Memory
25.1MiB live, 134.8MiB allocated
Compiler

Compiled 18 778 to 2 112 computations (88.8% saved)

prune35.0ms (0.4%)

Memory
-29.9MiB live, 85.0MiB allocated
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New60823631
Fresh000
Picked101
Done000
Total60923632
Accuracy
100.0%
Counts
632 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.6%
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
87.7%
(fma.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))))
48.6%
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 a b) (*.f64 a b)))
85.6%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
86.5%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
81.0%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
84.4%
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (*.f64 a b))
65.4%
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))))) (+.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
76.8%
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
80.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
85.1%
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
85.2%
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
85.2%
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
85.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
85.2%
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
75.6%
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))))
80.9%
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
47.2%
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
56.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)))
47.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
50.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
59.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
55.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 148 to 774 computations (32.6% saved)

simplify111.0ms (1.3%)

Memory
1.6MiB live, 199.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 a b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
cost-diff256
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
cost-diff320
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
cost-diff0
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))
cost-diff0
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)))
cost-diff0
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
cost-diff5760
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (-.f64 b a))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))
cost-diff128
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (PI.f64) (+.f64 a b))
cost-diff256
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
cost-diff2240
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
cost-diff6080
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054380
089398
1172384
2545359
32548351
45804351
08524351
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(+.f64 a b)
a
b
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)
(pow.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
(/.f64 (PI.f64) (-.f64 b a))
(neg.f64 b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(PI.f64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
b
a
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a)
(fma.f64 (neg.f64 b) b (*.f64 a a))
(neg.f64 b)
(*.f64 a a)
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))
(/.f64 (/.f64 (PI.f64) a) a)
(/.f64 (PI.f64) a)
(PI.f64)
a
#s(literal -1/2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
b
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
#s(literal 1/2 binary64)
(+.f64 a b)
a
b
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
(/.f64 (*.f64 a b) (-.f64 b a))
(*.f64 a b)
Outputs
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
(*.f64 (/.f64 (PI.f64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (PI.f64) (+.f64 a b))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 a b)
(+.f64 b a)
a
b
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)
(pow.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
(*.f64 (/.f64 (PI.f64) (-.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
(/.f64 (PI.f64) (-.f64 b a))
(neg.f64 b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(PI.f64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
(*.f64 (/.f64 (PI.f64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) (-.f64 b a))
(*.f64 (-.f64 b a) (PI.f64))
(PI.f64)
(-.f64 b a)
b
a
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a)
(fma.f64 (neg.f64 b) b (*.f64 a a))
(neg.f64 b)
(*.f64 a a)
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a))
(/.f64 (/.f64 (PI.f64) a) a)
(/.f64 (PI.f64) a)
(PI.f64)
a
#s(literal -1/2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 #s(literal 1 binary64) a)
(pow.f64 a #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
b
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
#s(literal 1/2 binary64)
(+.f64 a b)
(+.f64 b a)
a
b
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
(/.f64 (*.f64 a b) (-.f64 b a))
(*.f64 (/.f64 a (-.f64 b a)) b)
(*.f64 a b)
(*.f64 b a)

localize190.0ms (2.3%)

Memory
2.8MiB live, 281.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
accuracy0.34375
(/.f64 (PI.f64) (-.f64 b a))
accuracy8.508755954556605
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
accuracy13.617841857677385
(/.f64 (*.f64 a b) (-.f64 b a))
accuracy0.18681662028753182
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))
accuracy0.3359375
(/.f64 (PI.f64) a)
accuracy8.522759714325046
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
accuracy30.79842399909608
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)))
accuracy2.3996050200960943
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)
accuracy3.0038732212667223
(fma.f64 (neg.f64 b) b (*.f64 a a))
accuracy4.541654643307426
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a)
accuracy11.194806179665969
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
accuracy0.0
(PI.f64)
accuracy0.3246830160448646
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
accuracy9.606491344836318
(*.f64 (*.f64 a a) b)
accuracy24.339551346764345
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
accuracy0.33984375
(/.f64 (PI.f64) (+.f64 a b))
accuracy0.34375
(/.f64 (PI.f64) (-.f64 b a))
accuracy2.57649206247018
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
accuracy4.452727366648037
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
Samples
141.0ms256×0valid
Compiler

Compiled 741 to 105 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-div: 43.0ms (37.8% of total)
ival-neg: 32.0ms (28.1% of total)
ival-mult: 23.0ms (20.2% of total)
ival-pow: 5.0ms (4.4% of total)
ival-add: 4.0ms (3.5% of total)
ival-sub: 4.0ms (3.5% of total)
ival-pi: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series56.0ms (0.7%)

Memory
23.1MiB live, 104.0MiB allocated
Counts
27 → 236
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (PI.f64) (+.f64 a b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(PI.f64)
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))
(*.f64 (PI.f64) (-.f64 b a))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
(/.f64 (PI.f64) (-.f64 b a))
(*.f64 (*.f64 a a) b)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a)
(fma.f64 (neg.f64 b) b (*.f64 a a))
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)
(/.f64 (PI.f64) a)
(/.f64 (*.f64 a b) (-.f64 b a))
Outputs
(/ 1/2 (* a b))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6)))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a)
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(* -1/2 (* b (PI)))
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* 1/2 (* b (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
b
(+ a b)
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))))))))
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(* (pow a 2) b)
(* -1 (* a (pow b 2)))
(* a (+ (* -1 (pow b 2)) (pow a 2)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (pow a 2))
(* -1 (* a (pow b 3)))
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b)))
(/ (PI) a)
a
(* a (+ 1 (/ a b)))
(* a (+ 1 (* a (+ (/ 1 b) (/ a (pow b 2))))))
(* a (+ 1 (* a (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b)))))
(/ -1/2 (pow a 2))
(/ (- (* -1/2 (/ b a)) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (* -1/2 (/ (pow b 2) (pow a 2)))) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/2 (/ (pow b 3) (pow a 3))))) 1/2) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3))))))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (* a (PI)))
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI))))
(* -1/2 (* a (PI)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* -1 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
(* a (+ 1 (/ b a)))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3)))))) (pow a 2))
(* -1 (/ (PI) a))
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)
(pow a 3)
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 3) b)
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2)))))
(* -1 b)
(+ (* -1 b) (* -1 (/ (pow b 2) a)))
(- (+ (* -1 b) (* -1 (/ (pow b 3) (pow a 2)))) (/ (pow b 2) a))
(- (+ (* -1 b) (* -1 (/ (pow b 4) (pow a 3)))) (+ (/ (pow b 2) a) (/ (pow b 3) (pow a 2))))
(/ (- (* -1 (/ (+ (* 1/2 b) (* 1/2 (/ (pow b 2) a))) a)) 1/2) (pow a 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1)))
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2)))))
(+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) a) (pow b 2)) a)))
(+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3))) a)) (pow b 2)) a)))
(- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (+ (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (* b (+ (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (* 1/2 (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))))))))))) b)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI))))
(/ (- (/ b a) 1) b)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* 1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))))))) b)
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(+ (* -1 (* a (pow b 2))) (pow a 3))
(* b (+ (* -1 (* a (pow b 2))) (pow a 3)))
(* b (- (* -1 (/ b a)) 1))
(* b (- (* b (- (* -1 (/ b (pow a 2))) (/ 1 a))) 1))
(* b (- (* b (- (* b (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))) 1))
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) b)
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) b)
(/ (- (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (* -1/2 (/ a (pow b 2)))) b)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a)))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 3))))))))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(/ (+ 1/2 (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(* b (+ 1 (/ a b)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))))) (pow b 3))
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2))))
(+ a (/ (pow a 2) b))
(- (+ a (/ (pow a 3) (pow b 2))) (* -1 (/ (pow a 2) b)))
(- (+ a (/ (pow a 4) (pow b 3))) (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow a 3) (pow b 2)))))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) b))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI)))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2))))))
(+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)))
(+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b)))
Calls

6 calls:

TimeVariablePointExpression
15.0ms
b
@inf
((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (- b a)) (* (* a a) b) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (+ (* (neg b) b) (* a a)) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (PI) a) (/ (* a b) (- b a)))
9.0ms
a
@0
((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (- b a)) (* (* a a) b) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (+ (* (neg b) b) (* a a)) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (PI) a) (/ (* a b) (- b a)))
8.0ms
a
@inf
((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (- b a)) (* (* a a) b) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (+ (* (neg b) b) (* a a)) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (PI) a) (/ (* a b) (- b a)))
8.0ms
a
@-inf
((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (- b a)) (* (* a a) b) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (+ (* (neg b) b) (* a a)) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (PI) a) (/ (* a b) (- b a)))
6.0ms
b
@0
((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (- b a)) (* (* a a) b) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (+ (* (neg b) b) (* a a)) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (PI) a) (/ (* a b) (- b a)))

simplify358.0ms (4.3%)

Memory
-8.6MiB live, 181.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011615725
136574989
085324708
Stop Event
iter limit
node limit
Counts
236 → 234
Calls
Call 1
Inputs
(/ 1/2 (* a b))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6)))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a)
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(* -1/2 (* b (PI)))
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* 1/2 (* b (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
b
(+ a b)
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))))))))
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(* (pow a 2) b)
(* -1 (* a (pow b 2)))
(* a (+ (* -1 (pow b 2)) (pow a 2)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (pow a 2))
(* -1 (* a (pow b 3)))
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b)))
(/ (PI) a)
a
(* a (+ 1 (/ a b)))
(* a (+ 1 (* a (+ (/ 1 b) (/ a (pow b 2))))))
(* a (+ 1 (* a (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b)))))
(/ -1/2 (pow a 2))
(/ (- (* -1/2 (/ b a)) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (* -1/2 (/ (pow b 2) (pow a 2)))) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/2 (/ (pow b 3) (pow a 3))))) 1/2) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3))))))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
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(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (* a (PI)))
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI))))
(* -1/2 (* a (PI)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* -1 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
(* a (+ 1 (/ b a)))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3)))))) (pow a 2))
(* -1 (/ (PI) a))
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)
(pow a 3)
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 3) b)
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2)))))
(* -1 b)
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(- (+ (* -1 b) (* -1 (/ (pow b 3) (pow a 2)))) (/ (pow b 2) a))
(- (+ (* -1 b) (* -1 (/ (pow b 4) (pow a 3)))) (+ (/ (pow b 2) a) (/ (pow b 3) (pow a 2))))
(/ (- (* -1 (/ (+ (* 1/2 b) (* 1/2 (/ (pow b 2) a))) a)) 1/2) (pow a 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1)))
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2)))))
(+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) a) (pow b 2)) a)))
(+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3))) a)) (pow b 2)) a)))
(- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (+ (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (* b (+ (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (* 1/2 (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))))))))))) b)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))
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(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI))))
(/ (- (/ b a) 1) b)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* 1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))))))) b)
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(+ (* -1 (* a (pow b 2))) (pow a 3))
(* b (+ (* -1 (* a (pow b 2))) (pow a 3)))
(* b (- (* -1 (/ b a)) 1))
(* b (- (* b (- (* -1 (/ b (pow a 2))) (/ 1 a))) 1))
(* b (- (* b (- (* b (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))) 1))
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) b)
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) b)
(/ (- (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (* -1/2 (/ a (pow b 2)))) b)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a)))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 3))))))))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(/ (+ 1/2 (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(* b (+ 1 (/ a b)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))))) (pow b 3))
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2))))
(+ a (/ (pow a 2) b))
(- (+ a (/ (pow a 3) (pow b 2))) (* -1 (/ (pow a 2) b)))
(- (+ a (/ (pow a 4) (pow b 3))) (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow a 3) (pow b 2)))))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) b))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI)))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2))))))
(+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)))
(+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b)))
Outputs
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1/2 binary64))) a)) a)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6)))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) #s(literal -1/2 binary64))) a (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64)) (pow.f64 b #s(literal 5 binary64))))) a)) a)) a)
(* 1/2 (/ (PI) (pow b 2)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) a) #s(literal 0 binary64))) (pow.f64 b #s(literal 4 binary64))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) a (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) a (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)))
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(fma.f64 (neg.f64 a) (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (PI) (* (pow a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(* -1/2 (* b (PI)))
(*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 a b)))
(* 1/2 (* b (PI)))
(*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)))
(* b (PI))
(*.f64 (PI.f64) b)
(+ (* -1 (* a (PI))) (* b (PI)))
(*.f64 (PI.f64) (-.f64 b a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b b))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 a a) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))))) (*.f64 a a) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) (*.f64 a a) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)))
(* -1/2 (/ (PI) (pow a 2)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) b))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b))
b
(+ a b)
(+.f64 a b)
(* -1/2 (/ (PI) (pow b 3)))
(*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))))
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal 0 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))) a))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))) (*.f64 b b)) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))))) a (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))))) a (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(fma.f64 (fma.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(fma.f64 (fma.f64 (fma.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* -1 (* a (pow b 2)))
(*.f64 (neg.f64 a) (*.f64 b b))
(* a (+ (* -1 (pow b 2)) (pow a 2)))
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(+ (* -1 (pow b 2)) (pow a 2))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(* -1 (* a (pow b 3)))
(*.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b)))
(*.f64 (fma.f64 (*.f64 a a) b (neg.f64 (pow.f64 b #s(literal 3 binary64)))) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
a
(* a (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) a a)
(* a (+ 1 (* a (+ (/ 1 b) (/ a (pow b 2))))))
(*.f64 (fma.f64 (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) a #s(literal 1 binary64)) a)
(* a (+ 1 (* a (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b)))))
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(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 (PI.f64) b) (neg.f64 (PI.f64)))) (neg.f64 b))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) b) (neg.f64 (PI.f64)))) (neg.f64 b))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(*.f64 (fma.f64 a (/.f64 (PI.f64) b) (neg.f64 (PI.f64))) (neg.f64 b))
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(/.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) b)
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 a a) b) a)) (neg.f64 b)) #s(literal -1 binary64) #s(literal 1/2 binary64)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 a a))) b) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) a)) (neg.f64 b)) #s(literal -1 binary64) #s(literal 1/2 binary64)) b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 b))
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 3)))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (pow.f64 b #s(literal 3 binary64))))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64))) (neg.f64 b))) (neg.f64 (pow.f64 b #s(literal 3 binary64))))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)) (*.f64 (*.f64 a a) (PI.f64)))) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (neg.f64 (pow.f64 b #s(literal 3 binary64))))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (PI.f64) b) (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b)) b) (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (neg.f64 (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) (neg.f64 b))) (neg.f64 b)) (PI.f64)) (neg.f64 b))
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2))))))
(*.f64 (-.f64 a (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 b b))) (neg.f64 (pow.f64 b #s(literal 3 binary64))))
(+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)))
(-.f64 a (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 b)) (*.f64 a a)) b))
(+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b)))
(-.f64 a (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) (pow.f64 a #s(literal 3 binary64))) (neg.f64 b)) (*.f64 a a)) b))

rewrite439.0ms (5.3%)

Memory
2.1MiB live, 212.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054294
089296
1350274
23381256
08098256
Stop Event
iter limit
node limit
iter limit
Counts
27 → 1 053
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (PI.f64) (+.f64 a b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(PI.f64)
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))
(*.f64 (PI.f64) (-.f64 b a))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
(/.f64 (PI.f64) (-.f64 b a))
(*.f64 (*.f64 a a) b)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a)
(fma.f64 (neg.f64 b) b (*.f64 a a))
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)
(/.f64 (PI.f64) a)
(/.f64 (*.f64 a b) (-.f64 b a))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (-.f64 b a) a) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) a)) #s(literal -1 binary64))
(pow.f64 (*.f64 a (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) a) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 (-.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (-.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 (-.f64 b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b a))
(/.f64 #s(literal -1/2 binary64) (*.f64 a (neg.f64 (-.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 a) (-.f64 b a)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (-.f64 b a)) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (neg.f64 a)))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) a))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 a) (neg.f64 (-.f64 b a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (-.f64 b a)) (neg.f64 a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) a))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 b (-.f64 b a)) a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 b (-.f64 b a)) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 b (-.f64 b a)) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 b (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 b (-.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (*.f64 (neg.f64 b) a)) (neg.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 b (-.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 b (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))
(*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)) (-.f64 b a))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b))) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 a b) (-.f64 b a))) (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (pow.f64 (*.f64 (neg.f64 a) (/.f64 b (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 b (-.f64 b a)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (/.f64 (-.f64 b a) a) b))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (/.f64 b (-.f64 b a)) a)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (-.f64 b a) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b))) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 (*.f64 (neg.f64 b) b) a))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a (*.f64 (neg.f64 b) b)))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 b) b) a))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 a (*.f64 (neg.f64 b) b)))
(fma.f64 (*.f64 (neg.f64 b) b) a (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (*.f64 a a) a (*.f64 (*.f64 (neg.f64 b) b) a))
(fma.f64 (*.f64 a a) a (*.f64 a (*.f64 (neg.f64 b) b)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 b) b) a))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 (neg.f64 b) b)))
(fma.f64 a (*.f64 (neg.f64 b) b) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 a (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) a))
(fma.f64 a (*.f64 a a) (*.f64 a (*.f64 (neg.f64 b) b)))
(+.f64 (*.f64 (*.f64 (neg.f64 b) b) a) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (*.f64 a (*.f64 (neg.f64 b) b)) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 b) b) a))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 (neg.f64 b) b)))
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 a b) (-.f64 a b))
(pow.f64 (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (neg.f64 b) b))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 #s(literal -1 binary64) (*.f64 b b) (*.f64 a a))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 (neg.f64 b) b) (*.f64 a a))
(+.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) b) a)
(*.f64 (*.f64 b (fma.f64 (neg.f64 b) b (*.f64 a a))) a)
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (*.f64 a b))
(*.f64 (*.f64 a b) (fma.f64 (neg.f64 b) b (*.f64 a a)))
(*.f64 a (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) b))
(*.f64 b (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a b)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 a b)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (*.f64 (PI.f64) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 a #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (PI.f64)) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 a #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 a #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (PI.f64))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) a))
(*.f64 (PI.f64) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (PI.f64)))
(/.f64 (PI.f64) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (PI.f64))))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) a))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (neg.f64 (PI.f64)) a))
(exp.f64 (fma.f64 (log.f64 a) #s(literal -1 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (PI.f64))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (neg.f64 (log.f64 a))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 a b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (/.f64 b (-.f64 b a)) a)
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 a b))
(*.f64 (*.f64 (neg.f64 b) a) (pow.f64 (neg.f64 (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (*.f64 a b) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (-.f64 b a)) a))
(*.f64 a (/.f64 b (-.f64 b a)))
(*.f64 b (/.f64 a (-.f64 b a)))
(*.f64 b (*.f64 a (pow.f64 (-.f64 b a) #s(literal -1 binary64))))
(pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b (-.f64 b a)) a) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 a b) #s(literal 1 binary64)) (-.f64 b a))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) a)) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (*.f64 (neg.f64 b) a) (neg.f64 (-.f64 b a)))
(/.f64 (*.f64 a b) (-.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b a) a) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 b a) a) b)))
(neg.f64 (*.f64 (neg.f64 a) (/.f64 b (-.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 b a))) (*.f64 (neg.f64 a) (/.f64 b (-.f64 b a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal -1 binary64)))

eval584.0ms (7.1%)

Memory
2.8MiB live, 307.2MiB allocated
Compiler

Compiled 52 772 to 5 478 computations (89.6% saved)

prune87.0ms (1.1%)

Memory
-0.4MiB live, 89.2MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1 567161 583
Fresh14418
Picked415
Done000
Total1 585211 606
Accuracy
100.0%
Counts
1 606 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (PI.f64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
88.0%
(/.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 b a)) a)))
85.5%
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 b a) (PI.f64)) (+.f64 a b))) (/.f64 (*.f64 a b) (-.f64 b a)))
81.0%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
85.2%
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (+.f64 a b))
79.5%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 b (-.f64 b a)) a) (*.f64 (+.f64 a b) (-.f64 b a))))
99.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
50.5%
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b))
99.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
84.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)))
80.9%
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
59.0%
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
50.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 b b)))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b)))
47.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
50.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
62.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
55.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
54.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
55.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
Compiler

Compiled 1 069 to 734 computations (31.3% saved)

simplify186.0ms (2.3%)

Memory
-11.0MiB live, 158.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(-.f64 b a)
cost-diff0
(*.f64 (-.f64 b a) (PI.f64))
cost-diff1024
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 b a)
cost-diff0
(*.f64 (-.f64 b a) (PI.f64))
cost-diff640
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) b)
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
cost-diff384
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 a b))
cost-diff320
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))
cost-diff384
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040301
062277
1134271
2436271
32478255
44932255
08511255
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
(*.f64 a b)
a
b
#s(literal 1 binary64)
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(/.f64 (PI.f64) b)
(PI.f64)
b
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
#s(literal 1/2 binary64)
(*.f64 a a)
a
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
b
a
(PI.f64)
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 a b)
#s(literal 2 binary64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
b
a
(PI.f64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 a b)
#s(literal 2 binary64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (PI.f64))
#s(literal 1/2 binary64)
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))
(/.f64 (PI.f64) (*.f64 b a))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 b a))
(PI.f64)
(*.f64 a b)
(*.f64 b a)
a
b
#s(literal 1 binary64)
(+.f64 a b)
(+.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (PI.f64) b)
(PI.f64)
b
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
#s(literal 1/2 binary64)
(*.f64 a a)
a
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
b
a
(PI.f64)
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 (*.f64 (+.f64 b a) b) a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(*.f64 a b)
(*.f64 b a)
#s(literal 2 binary64)
(*.f64 (+.f64 a b) (-.f64 b a))
(*.f64 (-.f64 b a) (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
b
a
(PI.f64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 b a) b) a)) (-.f64 b a))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 (*.f64 (+.f64 b a) b) a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(*.f64 a b)
(*.f64 b a)
#s(literal 2 binary64)
(*.f64 (+.f64 a b) (-.f64 b a))
(*.f64 (-.f64 b a) (+.f64 b a))
(+.f64 a b)
(+.f64 b a)

localize139.0ms (1.7%)

Memory
-8.7MiB live, 147.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2578125
(*.f64 (-.f64 b a) (PI.f64))
accuracy0.26523803854137784
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
accuracy0.9999966827413624
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy10.952236328104805
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
accuracy0.01953125
(*.f64 (*.f64 a b) #s(literal 2 binary64))
accuracy0.2578125
(*.f64 (-.f64 b a) (PI.f64))
accuracy0.9999966827413624
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy11.194806179665969
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
accuracy0.2578125
(/.f64 (PI.f64) b)
accuracy0.5285624126574285
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
accuracy9.663414540431036
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
accuracy24.339551346764345
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
accuracy0.1953125
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
accuracy0.31366183975224093
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
accuracy9.606491344836318
(*.f64 (*.f64 a a) b)
accuracy24.339551346764345
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
accuracy0.0
(PI.f64)
accuracy0.1484375
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
accuracy0.8176779332532255
(/.f64 (PI.f64) (*.f64 a b))
Samples
86.0ms256×0valid
Compiler

Compiled 584 to 80 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 32.0ms (52.9% of total)
ival-mult: 22.0ms (36.4% of total)
ival-sub: 4.0ms (6.6% of total)
ival-pi: 1.0ms (1.7% of total)
ival-add: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
7.3MiB live, 44.6MiB allocated
Counts
20 → 74
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
(/.f64 (PI.f64) b)
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
(*.f64 (*.f64 a a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/ (PI) (* a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* a b)))
(* (pow a 2) b)
(/ 1/2 (pow a 2))
(* 2 (* a (pow b 3)))
(* a (+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3))))
(* a (+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b))))))))
(* 2 (* a b))
(/ 1/2 (* a (pow b 3)))
(/ (+ (* -1/2 (/ (* a (+ b (* -1 b))) (pow b 5))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* a (- (* a (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* a (- (* a (- (+ (* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (pow b 7))) (/ (* (+ b (* -1 b)) (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (pow b 2))))) (* 1/2 (/ 1 (pow b 5)))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* -1 a)
(* a (- (/ b a) 1))
(* -2 (* (pow a 3) b))
(* (pow a 3) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 3) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(/ -1/2 (* (pow a 3) b))
(/ (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3)))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* (pow a 3) (+ (* 2 b) (* 2 (/ (* b (+ b (* -1 b))) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (* b (+ b (* -1 b)))) (* 2 (/ (pow b 3) a))) a)) (* 2 b))))
(* -1 (/ (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3)))
(* -1 (/ (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* 1/2 (* b (+ b (* -1 b))))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ (PI) b)
(- b a)
(* b (+ (* -2 (pow a 3)) (* 2 (* a (* b (+ a (* -1 a)))))))
(* b (+ (* -2 (pow a 3)) (* b (+ (* 2 (* a b)) (* 2 (* a (+ a (* -1 a))))))))
(/ (- (* -1/2 (/ (* b (+ a (* -1 a))) (pow a 5))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (- (* b (- (* b (- (* -1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 7))) (/ (* (+ a (* -1 a)) (+ (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7))) (* 1/2 (/ 1 (pow a 5))))) (pow a 2))))) (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ 1 (* -1 (/ a b))))
(* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ (* -2 (/ (pow a 3) (pow b 2))) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b)))))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (pow b 3))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* -1/2 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))))) (pow b 3))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* (pow b 3) (+ (* -2 a) (* -2 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -2 a) (* -1 (/ (+ (* -2 (/ (pow a 3) b)) (* 2 (* a (+ a (* -1 a))))) b)))))
(* -1 (/ (- (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (/ (- (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ (* a (+ a (* -1 a))) (pow b 3)))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* a (+ a (* -1 a)))) (* 1/2 (/ (+ (* a (pow (+ a (* -1 a)) 2)) (pow a 3)) b))) (pow b 3))) (* -1/2 (/ a (pow b 2)))) (* 1/2 (/ 1 a))) (pow b 3)))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
b
@-inf
((/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (/ (PI) (* a b)) 1) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (* (/ (PI) b) (/ 1/2 (* a a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) b) (/ (* (- b a) (PI)) (* (* (* a b) 2) (* (+ a b) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (* 1/2 (* (/ (PI) (* a b)) 1)) (* (* a a) b) (/ 1/2 (* a a)) (* (* (* a b) 2) (* (+ a b) (- b a))) (* (* a b) 2) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))))
4.0ms
a
@inf
((/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (/ (PI) (* a b)) 1) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (* (/ (PI) b) (/ 1/2 (* a a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) b) (/ (* (- b a) (PI)) (* (* (* a b) 2) (* (+ a b) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (* 1/2 (* (/ (PI) (* a b)) 1)) (* (* a a) b) (/ 1/2 (* a a)) (* (* (* a b) 2) (* (+ a b) (- b a))) (* (* a b) 2) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))))
4.0ms
a
@0
((/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (/ (PI) (* a b)) 1) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (* (/ (PI) b) (/ 1/2 (* a a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) b) (/ (* (- b a) (PI)) (* (* (* a b) 2) (* (+ a b) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (* 1/2 (* (/ (PI) (* a b)) 1)) (* (* a a) b) (/ 1/2 (* a a)) (* (* (* a b) 2) (* (+ a b) (- b a))) (* (* a b) 2) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))))
4.0ms
b
@0
((/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (/ (PI) (* a b)) 1) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (* (/ (PI) b) (/ 1/2 (* a a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) b) (/ (* (- b a) (PI)) (* (* (* a b) 2) (* (+ a b) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (* 1/2 (* (/ (PI) (* a b)) 1)) (* (* a a) b) (/ 1/2 (* a a)) (* (* (* a b) 2) (* (+ a b) (- b a))) (* (* a b) 2) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))))
4.0ms
b
@inf
((/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (/ (PI) (* a b)) 1) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (* (/ (PI) b) (/ 1/2 (* a a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) b) (/ (* (- b a) (PI)) (* (* (* a b) 2) (* (+ a b) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (* 1/2 (* (/ (PI) (* a b)) 1)) (* (* a a) b) (/ 1/2 (* a a)) (* (* (* a b) 2) (* (+ a b) (- b a))) (* (* a b) 2) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))))

simplify120.0ms (1.5%)

Memory
20.4MiB live, 142.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04061287
112061140
244741044
08420994
Stop Event
iter limit
node limit
Counts
74 → 73
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/ (PI) (* a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* a b)))
(* (pow a 2) b)
(/ 1/2 (pow a 2))
(* 2 (* a (pow b 3)))
(* a (+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3))))
(* a (+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b))))))))
(* 2 (* a b))
(/ 1/2 (* a (pow b 3)))
(/ (+ (* -1/2 (/ (* a (+ b (* -1 b))) (pow b 5))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* a (- (* a (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* a (- (* a (- (+ (* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (pow b 7))) (/ (* (+ b (* -1 b)) (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (pow b 2))))) (* 1/2 (/ 1 (pow b 5)))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* -1 a)
(* a (- (/ b a) 1))
(* -2 (* (pow a 3) b))
(* (pow a 3) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 3) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(/ -1/2 (* (pow a 3) b))
(/ (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3)))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* (pow a 3) (+ (* 2 b) (* 2 (/ (* b (+ b (* -1 b))) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (* b (+ b (* -1 b)))) (* 2 (/ (pow b 3) a))) a)) (* 2 b))))
(* -1 (/ (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3)))
(* -1 (/ (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* 1/2 (* b (+ b (* -1 b))))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ (PI) b)
(- b a)
(* b (+ (* -2 (pow a 3)) (* 2 (* a (* b (+ a (* -1 a)))))))
(* b (+ (* -2 (pow a 3)) (* b (+ (* 2 (* a b)) (* 2 (* a (+ a (* -1 a))))))))
(/ (- (* -1/2 (/ (* b (+ a (* -1 a))) (pow a 5))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (- (* b (- (* b (- (* -1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 7))) (/ (* (+ a (* -1 a)) (+ (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7))) (* 1/2 (/ 1 (pow a 5))))) (pow a 2))))) (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ 1 (* -1 (/ a b))))
(* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ (* -2 (/ (pow a 3) (pow b 2))) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b)))))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (pow b 3))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* -1/2 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))))) (pow b 3))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* (pow b 3) (+ (* -2 a) (* -2 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -2 a) (* -1 (/ (+ (* -2 (/ (pow a 3) b)) (* 2 (* a (+ a (* -1 a))))) b)))))
(* -1 (/ (- (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (/ (- (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ (* a (+ a (* -1 a))) (pow b 3)))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* a (+ a (* -1 a)))) (* 1/2 (/ (+ (* a (pow (+ a (* -1 a)) 2)) (pow a 3)) b))) (pow b 3))) (* -1/2 (/ a (pow b 2)))) (* 1/2 (/ 1 a))) (pow b 3)))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 b a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ 1/2 (* (pow a 2) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(* b (PI))
(*.f64 (PI.f64) b)
(+ (* -1 (* a (PI))) (* b (PI)))
(*.f64 (PI.f64) (-.f64 b a))
b
(+ b (* -1 a))
(-.f64 b a)
(* 1/2 (/ (PI) (* a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(* 2 (* a (pow b 3)))
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64)) a)
(* a (+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3))))
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64)) a)
(* a (+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) b (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64))) b)
(* 2 (* a b))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(/ 1/2 (* a (pow b 3)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) a)
(/ (+ (* -1/2 (/ (* a (+ b (* -1 b))) (pow b 5))) (* 1/2 (/ 1 (pow b 3)))) a)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 0 binary64)) a)
(/ (+ (* a (- (* a (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64))) a #s(literal 0 binary64)) a (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a)
(/ (+ (* a (- (* a (- (+ (* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (pow b 7))) (/ (* (+ b (* -1 b)) (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (pow b 2))))) (* 1/2 (/ 1 (pow b 5)))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64))) a #s(literal 0 binary64)) a (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) a) a)
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 b b) (/.f64 (PI.f64) a)) (*.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (*.f64 a a))
(* -1 (* a (PI)))
(*.f64 (neg.f64 (PI.f64)) a)
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(*.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) a)
(* -1 a)
(neg.f64 a)
(* a (- (/ b a) 1))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(* -2 (* (pow a 3) b))
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64)) b)
(* (pow a 3) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64)) b)
(* (pow a 3) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(*.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 2 binary64)) a)) (pow.f64 a #s(literal 3 binary64)))
(/ -1/2 (* (pow a 3) b))
(/.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64))) b)
(/ (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3))
(/.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3)))) (* 1/2 (/ 1 b))) (pow a 3))
(/.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))))) (* 1/2 (/ 1 b))) (pow a 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 b a) a)) (/.f64 #s(literal -1/2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 a))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 b (*.f64 (/.f64 (PI.f64) a) b)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (neg.f64 a))) (neg.f64 a))) (*.f64 a a))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(*.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(* -1 (* (pow a 3) (+ (* 2 b) (* 2 (/ (* b (+ b (* -1 b))) a)))))
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64)) b)
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (* b (+ b (* -1 b)))) (* 2 (/ (pow b 3) a))) a)) (* 2 b))))
(*.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 2 binary64)) a)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (/ (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3)))
(/.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (/ (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(/.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* 1/2 (* b (+ b (* -1 b))))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -1/2 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(- b a)
(-.f64 b a)
(* b (+ (* -2 (pow a 3)) (* 2 (* a (* b (+ a (* -1 a)))))))
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64)) b)
(* b (+ (* -2 (pow a 3)) (* b (+ (* 2 (* a b)) (* 2 (* a (+ a (* -1 a))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) b (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64))) b)
(/ (- (* -1/2 (/ (* b (+ a (* -1 a))) (pow a 5))) (* 1/2 (/ 1 (pow a 3)))) b)
(/.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64))) b)
(/ (- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 5 binary64))) b) b (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) b)
(/ (- (* b (- (* b (- (* -1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 7))) (/ (* (+ a (* -1 a)) (+ (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7))) (* 1/2 (/ 1 (pow a 5))))) (pow a 2))))) (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 5 binary64))) b) b (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) b)) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (*.f64 b b))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(*.f64 (fma.f64 (/.f64 (PI.f64) b) (neg.f64 a) (PI.f64)) b)
(* b (+ 1 (* -1 (/ a b))))
(fma.f64 (/.f64 (neg.f64 a) b) b b)
(* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64)) a)
(* (pow b 3) (+ (* -2 (/ (pow a 3) (pow b 2))) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal -2 binary64)) b)) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (pow b 3))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* -1/2 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))))) (pow b 3))
(/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (/.f64 a b) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 a (*.f64 (/.f64 (PI.f64) b) a)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(*.f64 (fma.f64 (/.f64 (PI.f64) b) (neg.f64 a) (PI.f64)) b)
(* -1 (* b (- (/ a b) 1)))
(fma.f64 (/.f64 (neg.f64 a) b) b b)
(* -1 (* (pow b 3) (+ (* -2 a) (* -2 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64)) a)
(* -1 (* (pow b 3) (+ (* -2 a) (* -1 (/ (+ (* -2 (/ (pow a 3) b)) (* 2 (* a (+ a (* -1 a))))) b)))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal -2 binary64)) b)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (- (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3)))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (- (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ (* a (+ a (* -1 a))) (pow b 3)))) (* 1/2 (/ 1 a))) (pow b 3)))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* a (+ a (* -1 a)))) (* 1/2 (/ (+ (* a (pow (+ a (* -1 a)) 2)) (pow a 3)) b))) (pow b 3))) (* -1/2 (/ a (pow b 2)))) (* 1/2 (/ 1 a))) (pow b 3)))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal 1/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (pow.f64 b #s(literal 3 binary64))))

rewrite188.0ms (2.3%)

Memory
-11.1MiB live, 257.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040216
062204
1270178
22277178
08349178
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 126
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
(/.f64 (PI.f64) b)
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
(*.f64 (*.f64 a a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (pow.f64 (neg.f64 (+.f64 b a)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)))
(pow.f64 (/.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 b a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a)))) (neg.f64 (neg.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (neg.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 b a)))))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (+.f64 b a))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 b a))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (+.f64 b a)))
(neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (neg.f64 (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 b a))) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) (neg.f64 (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 b a)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) b) (/.f64 (cbrt.f64 (PI.f64)) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) a) (/.f64 (cbrt.f64 (PI.f64)) b))
(*.f64 (/.f64 (PI.f64) a) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (PI.f64))
(*.f64 (neg.f64 (PI.f64)) (pow.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b a)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b a)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))))
(*.f64 (/.f64 (PI.f64) b) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 (PI.f64) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 b a)))
(*.f64 (PI.f64) (*.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (PI.f64) (pow.f64 (*.f64 b a) #s(literal -1 binary64)))
(pow.f64 (*.f64 (/.f64 b (PI.f64)) a) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64))) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (/.f64 (PI.f64) a))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 b) a))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (/.f64 (PI.f64) b)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64)) b)
(/.f64 (neg.f64 (/.f64 (PI.f64) a)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 (neg.f64 b) a))
(/.f64 (/.f64 (PI.f64) a) b)
(/.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 b) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b a) (PI.f64))))
(/.f64 (/.f64 (PI.f64) b) a)
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 b) a) (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (PI.f64) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b a) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (PI.f64)))
(/.f64 (PI.f64) (*.f64 b a))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 b a)))
(neg.f64 (/.f64 (PI.f64) (*.f64 (neg.f64 b) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) a)) (/.f64 (PI.f64) (*.f64 (neg.f64 b) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b a) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
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(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (-.f64 b a))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) (neg.f64 (*.f64 (neg.f64 (+.f64 b a)) (-.f64 b a))))
(/.f64 (neg.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 b a))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a))))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (-.f64 b a)) (+.f64 b a))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a)) (-.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (pow.f64 (+.f64 b a) #s(literal -1 binary64))) (-.f64 b a))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (*.f64 (neg.f64 (+.f64 b a)) (-.f64 b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a))))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 b) a) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a))))
(/.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal -1 binary64)))

eval190.0ms (2.3%)

Memory
28.0MiB live, 431.8MiB allocated
Compiler

Compiled 37 460 to 3 652 computations (90.3% saved)

prune48.0ms (0.6%)

Memory
-27.5MiB live, 139.3MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1 257151 272
Fresh12315
Picked415
Done011
Total1 273201 293
Accuracy
100.0%
Counts
1 293 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 a b))
85.5%
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 b a) (PI.f64)) (+.f64 a b))) (/.f64 (*.f64 a b) (-.f64 b a)))
82.4%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))))
99.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (+.f64 a b))
99.4%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
59.3%
(/.f64 #s(approx (* (- b a) (PI)) (*.f64 (PI.f64) b)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)))
92.5%
(*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64))
99.4%
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (-.f64 b a) (-.f64 b a)))
99.6%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
84.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)))
59.0%
#s(approx (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 b (PI.f64)) a)))
62.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
55.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
54.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))))
62.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
Compiler

Compiled 828 to 600 computations (27.5% saved)

simplify189.0ms (2.3%)

Memory
23.0MiB live, 182.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(-.f64 b a)
cost-diff0
(*.f64 (-.f64 b a) (PI.f64))
cost-diff640
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 b a))
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64))
cost-diff0
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)))
cost-diff384
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
cost-diff0
(*.f64 b a)
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff384
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 a b))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040256
062246
1144242
2439242
31740242
44351240
08166240
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 a b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 b a)
b
a
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))
#s(literal 1/2 binary64)
(*.f64 (*.f64 b a) a)
(*.f64 b a)
b
a
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(PI.f64)
(*.f64 b a)
b
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
#s(literal 2 binary64)
(*.f64 b a)
b
a
(PI.f64)
(+.f64 b a)
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
b
a
(PI.f64)
(*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
#s(literal 2 binary64)
(*.f64 b a)
(+.f64 b a)
Outputs
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) b)) (/.f64 (PI.f64) a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 b a)
(*.f64 a b)
b
a
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 b a) a)
(*.f64 (*.f64 a a) b)
(*.f64 b a)
(*.f64 a b)
b
a
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(PI.f64)
(*.f64 b a)
(*.f64 a b)
b
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) b)) (/.f64 (PI.f64) a))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
(*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) (*.f64 a b))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (PI.f64))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(*.f64 #s(literal 2 binary64) (*.f64 a b))
#s(literal 2 binary64)
(*.f64 b a)
(*.f64 a b)
b
a
(PI.f64)
(+.f64 b a)
(+.f64 a b)
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) b)) (/.f64 (PI.f64) a))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
b
a
(PI.f64)
(*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a)))
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) a) (*.f64 (+.f64 a b) b))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))
(*.f64 (*.f64 (*.f64 (+.f64 a b) a) #s(literal 2 binary64)) b)
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(*.f64 #s(literal 2 binary64) (*.f64 a b))
#s(literal 2 binary64)
(*.f64 b a)
(*.f64 a b)
(+.f64 b a)
(+.f64 a b)

localize106.0ms (1.3%)

Memory
-23.9MiB live, 174.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a)))
accuracy0.1484375
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))
accuracy0.2578125
(*.f64 (-.f64 b a) (PI.f64))
accuracy11.194806179665969
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))))
accuracy0.01953125
(*.f64 #s(literal 2 binary64) (*.f64 b a))
accuracy0.140625
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
accuracy0.26171875
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64))
accuracy0.343645894780974
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)))
accuracy0.0
(PI.f64)
accuracy0.171875
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a))
accuracy0.3359375
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
accuracy24.339551346764345
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)))
accuracy0.1328125
(*.f64 (*.f64 b a) a)
accuracy0.1953125
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
accuracy0.31366183975224093
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))
accuracy24.339551346764345
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
accuracy0.0
(*.f64 b a)
accuracy0.0
(PI.f64)
accuracy0.1484375
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 a b))
accuracy0.7943048401882121
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a))
Samples
80.0ms256×0valid
Compiler

Compiled 494 to 81 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 23.0ms (44.7% of total)
ival-mult: 21.0ms (40.8% of total)
ival-sub: 4.0ms (7.8% of total)
ival-add: 3.0ms (5.8% of total)
ival-pi: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
18.9MiB live, 57.5MiB allocated
Counts
22 → 67
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 a b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(*.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
(/.f64 #s(literal 1/2 binary64) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a))
(*.f64 (*.f64 b a) a)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))
(*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a)))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(* 1/2 (/ (PI) a))
(/ 1/2 a)
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* 2 (/ (* a b) (PI)))
(* 2 (* a b))
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* a b)))
(* (pow a 2) b)
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (* a b)) (* 2 (pow b 2))))
(* 2 (* a (pow b 3)))
(* a (+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3))))
(* a (+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b))))))))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* -1 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* -1 a)
(* a (- (/ b a) 1))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 2 (/ (pow b 2) a))))
(* -2 (* (pow a 3) b))
(* (pow a 3) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 3) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* (pow a 3) (+ (* 2 b) (* 2 (/ (* b (+ b (* -1 b))) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (* b (+ b (* -1 b)))) (* 2 (/ (pow b 3) a))) a)) (* 2 b))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(- b a)
(* b (+ (* 2 (* a b)) (* 2 (pow a 2))))
(* b (+ (* -2 (pow a 3)) (* 2 (* a (* b (+ a (* -1 a)))))))
(* b (+ (* -2 (pow a 3)) (* b (+ (* 2 (* a b)) (* 2 (* a (+ a (* -1 a))))))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ 1 (* -1 (/ a b))))
(* (pow b 2) (+ (* 2 a) (* 2 (/ (pow a 2) b))))
(* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ (* -2 (/ (pow a 3) (pow b 2))) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b)))))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* (pow b 3) (+ (* -2 a) (* -2 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -2 a) (* -1 (/ (+ (* -2 (/ (pow a 3) b)) (* 2 (* a (+ a (* -1 a))))) b)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
a
@-inf
((/ (/ (* (PI) 1/2) (* b a)) (+ a b)) (* (PI) 1/2) (PI) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (/ 1/2 (* (* b a) a)) (/ (* (/ 1/2 a) (PI)) (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (PI)) (/ 1/2 a) (/ 1 (* (/ (* 2 (* b a)) (PI)) (+ b a))) (* (/ (* 2 (* b a)) (PI)) (+ b a)) (/ (* 2 (* b a)) (PI)) (* 2 (* b a)) (/ (* (- b a) (PI)) (* (- b a) (* (* 2 (* b a)) (+ b a)))) (* (- b a) (PI)) (- b a) (/ (* (PI) 1/2) (* b a)) (* (* b a) a) (* (* 2 (* b a)) (+ b a)) (* (- b a) (* (* 2 (* b a)) (+ b a))))
4.0ms
a
@inf
((/ (/ (* (PI) 1/2) (* b a)) (+ a b)) (* (PI) 1/2) (PI) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (/ 1/2 (* (* b a) a)) (/ (* (/ 1/2 a) (PI)) (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (PI)) (/ 1/2 a) (/ 1 (* (/ (* 2 (* b a)) (PI)) (+ b a))) (* (/ (* 2 (* b a)) (PI)) (+ b a)) (/ (* 2 (* b a)) (PI)) (* 2 (* b a)) (/ (* (- b a) (PI)) (* (- b a) (* (* 2 (* b a)) (+ b a)))) (* (- b a) (PI)) (- b a) (/ (* (PI) 1/2) (* b a)) (* (* b a) a) (* (* 2 (* b a)) (+ b a)) (* (- b a) (* (* 2 (* b a)) (+ b a))))
4.0ms
a
@0
((/ (/ (* (PI) 1/2) (* b a)) (+ a b)) (* (PI) 1/2) (PI) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (/ 1/2 (* (* b a) a)) (/ (* (/ 1/2 a) (PI)) (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (PI)) (/ 1/2 a) (/ 1 (* (/ (* 2 (* b a)) (PI)) (+ b a))) (* (/ (* 2 (* b a)) (PI)) (+ b a)) (/ (* 2 (* b a)) (PI)) (* 2 (* b a)) (/ (* (- b a) (PI)) (* (- b a) (* (* 2 (* b a)) (+ b a)))) (* (- b a) (PI)) (- b a) (/ (* (PI) 1/2) (* b a)) (* (* b a) a) (* (* 2 (* b a)) (+ b a)) (* (- b a) (* (* 2 (* b a)) (+ b a))))
4.0ms
b
@-inf
((/ (/ (* (PI) 1/2) (* b a)) (+ a b)) (* (PI) 1/2) (PI) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (/ 1/2 (* (* b a) a)) (/ (* (/ 1/2 a) (PI)) (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (PI)) (/ 1/2 a) (/ 1 (* (/ (* 2 (* b a)) (PI)) (+ b a))) (* (/ (* 2 (* b a)) (PI)) (+ b a)) (/ (* 2 (* b a)) (PI)) (* 2 (* b a)) (/ (* (- b a) (PI)) (* (- b a) (* (* 2 (* b a)) (+ b a)))) (* (- b a) (PI)) (- b a) (/ (* (PI) 1/2) (* b a)) (* (* b a) a) (* (* 2 (* b a)) (+ b a)) (* (- b a) (* (* 2 (* b a)) (+ b a))))
4.0ms
b
@inf
((/ (/ (* (PI) 1/2) (* b a)) (+ a b)) (* (PI) 1/2) (PI) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (/ 1/2 (* (* b a) a)) (/ (* (/ 1/2 a) (PI)) (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (PI)) (/ 1/2 a) (/ 1 (* (/ (* 2 (* b a)) (PI)) (+ b a))) (* (/ (* 2 (* b a)) (PI)) (+ b a)) (/ (* 2 (* b a)) (PI)) (* 2 (* b a)) (/ (* (- b a) (PI)) (* (- b a) (* (* 2 (* b a)) (+ b a)))) (* (- b a) (PI)) (- b a) (/ (* (PI) 1/2) (* b a)) (* (* b a) a) (* (* 2 (* b a)) (+ b a)) (* (- b a) (* (* 2 (* b a)) (+ b a))))

simplify110.0ms (1.3%)

Memory
-3.9MiB live, 116.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0301912
1914855
22977819
36305819
08159775
Stop Event
iter limit
node limit
Counts
67 → 66
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(* 1/2 (/ (PI) a))
(/ 1/2 a)
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* 2 (/ (* a b) (PI)))
(* 2 (* a b))
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* a b)))
(* (pow a 2) b)
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (* a b)) (* 2 (pow b 2))))
(* 2 (* a (pow b 3)))
(* a (+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3))))
(* a (+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b))))))))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* -1 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* -1 a)
(* a (- (/ b a) 1))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 2 (/ (pow b 2) a))))
(* -2 (* (pow a 3) b))
(* (pow a 3) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 3) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* (pow a 3) (+ (* 2 b) (* 2 (/ (* b (+ b (* -1 b))) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (* b (+ b (* -1 b)))) (* 2 (/ (pow b 3) a))) a)) (* 2 b))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(- b a)
(* b (+ (* 2 (* a b)) (* 2 (pow a 2))))
(* b (+ (* -2 (pow a 3)) (* 2 (* a (* b (+ a (* -1 a)))))))
(* b (+ (* -2 (pow a 3)) (* b (+ (* 2 (* a b)) (* 2 (* a (+ a (* -1 a))))))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ 1 (* -1 (/ a b))))
(* (pow b 2) (+ (* 2 a) (* 2 (/ (pow a 2) b))))
(* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ (* -2 (/ (pow a 3) (pow b 2))) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b)))))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* (pow b 3) (+ (* -2 a) (* -2 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -2 a) (* -1 (/ (+ (* -2 (/ (pow a 3) b)) (* 2 (* a (+ a (* -1 a))))) b)))))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(* a b)
(*.f64 a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ 1/2 (* (pow a 2) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(* 2 (/ (* a (pow b 2)) (PI)))
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))
(* 2 (/ (* a b) (PI)))
(*.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal 2 binary64))
(* 2 (* a b))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(* b (PI))
(*.f64 (PI.f64) b)
(+ (* -1 (* a (PI))) (* b (PI)))
(*.f64 (PI.f64) (-.f64 b a))
b
(+ b (* -1 a))
(-.f64 b a)
(* 1/2 (/ (PI) (* a b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* 2 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)
(* a (+ (* 2 (* a b)) (* 2 (pow b 2))))
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 b (+.f64 a b)))
(* 2 (* a (pow b 3)))
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64)) a)
(* a (+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3))))
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64)) a)
(* a (+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) a) a)
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (*.f64 a a))
(* 2 (/ (* (pow a 2) b) (PI)))
(*.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 b a) b b)) a) a)
(* -1 (* a (PI)))
(*.f64 (neg.f64 (PI.f64)) a)
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(*.f64 (PI.f64) (-.f64 b a))
(* -1 a)
(neg.f64 a)
(* a (- (/ b a) 1))
(-.f64 b a)
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* 2 b) (* 2 (/ (pow b 2) a))))
(*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 b a) b b) #s(literal 2 binary64)) a) a)
(* -2 (* (pow a 3) b))
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64)) b)
(* (pow a 3) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64)) b)
(* (pow a 3) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) a) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 b a) b) (PI.f64)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)) a)) (*.f64 a a))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(*.f64 (PI.f64) (-.f64 b a))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(-.f64 b a)
(* -1 (* (pow a 3) (+ (* 2 b) (* 2 (/ (* b (+ b (* -1 b))) a)))))
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64)) b)
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (* b (+ b (* -1 b)))) (* 2 (/ (pow b 3) a))) a)) (* 2 b))))
(*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) a) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))
(- b a)
(-.f64 b a)
(* b (+ (* 2 (* a b)) (* 2 (pow a 2))))
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 b (+.f64 a b)))
(* b (+ (* -2 (pow a 3)) (* 2 (* a (* b (+ a (* -1 a)))))))
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64)) b)
(* b (+ (* -2 (pow a 3)) (* b (+ (* 2 (* a b)) (* 2 (* a (+ a (* -1 a))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64))) b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) a #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) a #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))) (*.f64 b b))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 a b) a a)) b) b)
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(*.f64 (PI.f64) (-.f64 b a))
(* b (+ 1 (* -1 (/ a b))))
(-.f64 b a)
(* (pow b 2) (+ (* 2 a) (* 2 (/ (pow a 2) b))))
(*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a b) a a) #s(literal 2 binary64)) b) b)
(* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64)) a)
(* (pow b 3) (+ (* -2 (/ (pow a 3) (pow b 2))) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal -2 binary64)) b)) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 a b) a) (PI.f64)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) b)) b)) (*.f64 b b))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(*.f64 (PI.f64) (-.f64 b a))
(* -1 (* b (- (/ a b) 1)))
(-.f64 b a)
(* -1 (* (pow b 3) (+ (* -2 a) (* -2 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64)) a)
(* -1 (* (pow b 3) (+ (* -2 a) (* -1 (/ (+ (* -2 (/ (pow a 3) b)) (* 2 (* a (+ a (* -1 a))))) b)))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal -2 binary64)) b)) (pow.f64 b #s(literal 3 binary64)))

rewrite206.0ms (2.5%)

Memory
-14.8MiB live, 272.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040210
062196
1295184
22733184
08564184
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 343
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 a b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(*.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
(/.f64 #s(literal 1/2 binary64) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a))
(*.f64 (*.f64 b a) a)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))
(*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a)))
Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 a) b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (PI.f64) b) a))
(*.f64 (pow.f64 (/.f64 (+.f64 a b) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 a b) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 a b) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 a b) (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 a b))) (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 a b))) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) b) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) 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 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) b) (*.f64 (-.f64 b a) (+.f64 a b))) (-.f64 b a))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (/.f64 (*.f64 a b) (PI.f64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (/.f64 (*.f64 a b) (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (-.f64 b a) (+.f64 a b)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (/.f64 (PI.f64) b) a))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (/.f64 (cbrt.f64 (PI.f64)) (+.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(*.f64 (pow.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 a b) (*.f64 (-.f64 b a) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) #s(literal -1 binary64)) (PI.f64))
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 (-.f64 b a) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b (*.f64 a (+.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b (*.f64 a (+.f64 a b)))))
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (-.f64 b a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (pow.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) b))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (pow.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (pow.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1 binary64))) (*.f64 (-.f64 b a) (PI.f64)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) b) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 a b)))
(*.f64 (/.f64 (PI.f64) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (+.f64 a b) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (/.f64 (PI.f64) b) a)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 a b)) (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (PI.f64)) (-.f64 b a)) (pow.f64 (*.f64 (neg.f64 (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (/.f64 (*.f64 a b) (PI.f64)))))
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(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 a b) b) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) b) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b))
(fma.f64 (*.f64 a b) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b))
(fma.f64 (*.f64 a b) (*.f64 #s(literal 2 binary64) b) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a))
(fma.f64 (*.f64 a b) (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b))
(fma.f64 a (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b))
(fma.f64 a (*.f64 #s(literal 2 binary64) (*.f64 a b)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b))
(fma.f64 b (/.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b))
(fma.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a b)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a))
(*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b (*.f64 a (+.f64 a b))))
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (+.f64 a b))
(*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (-.f64 b a))
(*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))
(*.f64 (+.f64 a b) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (*.f64 (-.f64 b a) (+.f64 a b)))
(*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 b (*.f64 a (+.f64 a b))) (-.f64 b a)))
(/.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) #s(literal 3 binary64)) (pow.f64 (*.f64 b (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) #s(literal 3 binary64))) (fma.f64 (*.f64 a (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 a (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (-.f64 (*.f64 (*.f64 b (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 b (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)))) (*.f64 (*.f64 a (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 b (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) #s(literal 3 binary64))) (fma.f64 (*.f64 b (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 b (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (-.f64 (*.f64 (*.f64 a (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 a (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)))) (*.f64 (*.f64 b (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 a (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) #s(literal 3 binary64))) (fma.f64 (*.f64 b (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 b (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (-.f64 (*.f64 (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))) (*.f64 (*.f64 b (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b) (-.f64 b a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a) (-.f64 b a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b) (-.f64 b a)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b) (-.f64 b a)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a) (-.f64 b a)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a) (-.f64 b a))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b) (-.f64 b a)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a) (-.f64 b a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) a) (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) a) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) b) (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) b)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) a) (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) b) (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) b) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) a) (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) a)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) b) (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) b) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) b) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (neg.f64 a)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (neg.f64 a))) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) b) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (neg.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b)) (-.f64 (*.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a))) (*.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 (-.f64 b a) (+.f64 a b)))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 (-.f64 b a) (+.f64 a b)))) (neg.f64 (+.f64 a b)))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (+.f64 a b))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.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 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 (-.f64 b a) (+.f64 a b))) (-.f64 b a))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 (-.f64 b a) (+.f64 a b))) (+.f64 a b))
(fma.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) a (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) b))
(fma.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) b (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) a))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b) (-.f64 b a) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a) (-.f64 b a)))
(fma.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) b (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (neg.f64 a)))
(fma.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a)))
(fma.f64 a (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 b (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))))
(fma.f64 b (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 a (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))))
(fma.f64 b (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))))
(+.f64 (*.f64 a (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 b (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))))
(+.f64 (*.f64 b (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 a (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))))
(+.f64 (*.f64 b (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b) (-.f64 b a)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a) (-.f64 b a)))
(+.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) a) (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) b))
(+.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) b) (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) a))
(+.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) b) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)) (neg.f64 a)))
(+.f64 (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) b)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a)))

eval160.0ms (1.9%)

Memory
18.0MiB live, 282.9MiB allocated
Compiler

Compiled 34 156 to 4 252 computations (87.6% saved)

prune48.0ms (0.6%)

Memory
-0.9MiB live, 114.9MiB allocated
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New1 307101 317
Fresh10313
Picked235
Done022
Total1 319181 337
Accuracy
100.0%
Counts
1 337 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a #s(literal 2 binary64))) (+.f64 a b))
99.7%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 a b))
99.6%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (*.f64 a b))
99.4%
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 a b)))
59.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* 2 (* b a)) (PI)) (+ b a)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
92.5%
(*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64))
92.5%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 a b)))))
59.0%
#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)))
62.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a)))
55.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
54.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
61.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a)))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))))
62.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
Compiler

Compiled 1 920 to 600 computations (68.8% saved)

regimes61.0ms (0.7%)

Memory
3.2MiB live, 87.2MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 a b)))))
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (*.f64 a b))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 a b))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* 2 (* b a)) (PI)) (+ b a)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (+.f64 a b))
(/.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a #s(literal 2 binary64))) (+.f64 a b))
(/.f64 #s(approx (* (- b a) (PI)) (*.f64 (PI.f64) b)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 b (PI.f64)) a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 b b)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (+.f64 b a))) (/.f64 (-.f64 b a) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 b (-.f64 b a)) a) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (*.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 b a)) a)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (+.f64 a b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 b a) (PI.f64)) (+.f64 a b))) (/.f64 (*.f64 a b) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))))
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (PI.f64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 a b) (*.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))))) (+.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
Outputs
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 a b))
Calls

3 calls:

21.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
19.0ms
a
18.0ms
b
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes32.0ms (0.4%)

Memory
-2.5MiB live, 33.3MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 a b)))))
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (*.f64 a b))
Outputs
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (*.f64 a b))
Calls

3 calls:

19.0ms
b
6.0ms
a
6.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes20.0ms (0.2%)

Memory
-12.0MiB live, 26.1MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 a b)))))
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64))
Outputs
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
Calls

3 calls:

8.0ms
a
6.0ms
b
6.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes17.0ms (0.2%)

Memory
30.1MiB live, 30.1MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 a b)))))
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)))
Outputs
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))
Calls

3 calls:

5.0ms
b
5.0ms
a
5.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.4%1b
99.4%1a
99.4%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes24.0ms (0.3%)

Memory
-32.2MiB live, 20.3MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 a b)))))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 a b)))))
Calls

3 calls:

4.0ms
b
4.0ms
a
3.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.4%2a
97.2%2b
92.5%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes10.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
Calls

3 calls:

3.0ms
a
3.0ms
b
3.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
67.4%2(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
83.8%2b
84.6%2a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes6.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
Calls

3 calls:

2.0ms
b
2.0ms
a
2.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
62.1%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
62.1%1b
62.1%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes235.0ms (2.8%)

Memory
-31.4MiB live, 7.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
Calls

3 calls:

2.0ms
a
2.0ms
b
2.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
62.0%1b
62.0%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
62.0%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
Calls

3 calls:

1.0ms
a
1.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
1.0ms
b
Results
AccuracySegmentsBranch
55.2%1b
55.2%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
55.2%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch14.0ms (0.2%)

Memory
11.7MiB live, 11.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
12.0ms
-5.89823615554012e+124
-1.392847277647318e+121
Samples
8.0ms96×0valid
Compiler

Compiled 276 to 218 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (48.4% of total)
ival-mult: 2.0ms (32.3% of total)
ival-sub: 1.0ms (16.1% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Memory
-13.5MiB live, 24.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
-7.298093889474598e-30
-2.145128375079774e-33
Samples
11.0ms128×0valid
Compiler

Compiled 520 to 388 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (35.8% of total)
ival-mult: 3.0ms (35.8% of total)
ival-pi: 1.0ms (11.9% of total)
ival-sub: 1.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify26.0ms (0.3%)

Memory
17.6MiB live, 54.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061249
183249
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 a b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (*.f64 a b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))
(if (<=.f64 a #s(literal -50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 a b))))))
(if (<=.f64 a #s(literal -8278036617694567/2854495385411919762116571938898990272765493248 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
Outputs
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 a b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) (+.f64 a b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (*.f64 a b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (*.f64 a b)))
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))
(/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (*.f64 a b)))
(if (<=.f64 a #s(literal -50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 a b))))))
(if (<=.f64 a #s(literal -50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) b)) (PI.f64)))
(if (<=.f64 a #s(literal -8278036617694567/2854495385411919762116571938898990272765493248 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))

soundness1.2s (14.3%)

Memory
29.0MiB live, 645.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911138
17681118
222931080
363891080
083451013
01553
02649
112449
2112349
0919349
040210
062196
1295184
22733184
08564184
054294
089296
1350274
23381256
08098256
040216
062204
1270178
22277178
08349178
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 774 to 375 computations (51.6% saved)

preprocess89.0ms (1.1%)

Memory
-5.3MiB live, 119.6MiB allocated
Remove

(sort a b)

Compiler

Compiled 672 to 254 computations (62.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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