NMSE Section 6.1 mentioned, B

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze142.0ms (1.9%)

Memory
27.0MiB live, 101.8MiB 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)

sample1.4s (18.8%)

Memory
13.9MiB live, 1 753.9MiB allocated
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 790.0ms
ival-mult: 269.0ms (34.1% of total)
ival-div: 261.0ms (33% of total)
ival-sub: 206.0ms (26.1% of total)
ival-pi: 36.0ms (4.6% of total)
exact: 8.0ms (1% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain204.0ms (2.7%)

Memory
-30.8MiB live, 338.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
250-1(-1.3754448580958594e+156 -1.6476350278915076e-172)(*.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)))
150-0-(-.f64 (*.f64 b b) (*.f64 a a))
10-0-(/.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*u240
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue150
(*.f64 b b)overflow65
(*.f64 a a)overflow46
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o10
(*.f64 b b)overflow65
(*.f64 a a)overflow46
(-.f64 (*.f64 b b) (*.f64 a a))overflow96
Confusion
Predicted +Predicted -
+4012
-0204
Precision
1.0
Recall
0.7692307692307693
Confusion?
Predicted +Predicted MaybePredicted -
+40012
-00204
Precision?
1.0
Recall?
0.7692307692307693
Freqs
test
numberfreq
0216
140
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: 34.0ms
ival-div: 14.0ms (41.7% of total)
ival-mult: 12.0ms (35.8% of total)
ival-sub: 5.0ms (14.9% of total)
ival-pi: 2.0ms (6% of total)
exact: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess181.0ms (2.4%)

Memory
8.1MiB live, 242.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033109
111595
241895
3211195
4653595
01521
02621
14619
210819
339318
4156017
5425317
0831717
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
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.1%
(*.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 21 to 15 computations (28.6% saved)

simplify146.0ms (2%)

Memory
-0.2MiB live, 161.5MiB 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
4156071
5425371
0831771
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)

localize38.0ms (0.5%)

Memory
20.6MiB live, 57.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.23046875
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy0.33061967886520705
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy3.5546647941322638
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy5.687741748873885
(*.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
28.0ms256×0valid
Compiler

Compiled 156 to 32 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (43.3% of total)
ival-div: 7.0ms (37.9% of total)
ival-sub: 2.0ms (10.8% of total)
ival-pi: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-8.5MiB live, 27.1MiB 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
4.0ms
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
@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
@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
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))))

simplify178.0ms (2.4%)

Memory
-8.0MiB live, 228.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911138
17681118
222931080
363931080
082151013
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 (pow.f64 b #s(literal 4 binary64)) (neg.f64 (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 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 8 binary64))) (/.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))

rewrite169.0ms (2.3%)

Memory
0.6MiB live, 197.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
02649
112449
2112749
0924249
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)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 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 (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 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))
(/.f64 (fma.f64 a a (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 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))))
(/.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))))
(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 (*.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))))
(fma.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)))))
(fma.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #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 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(fma.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #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 (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))))
(fma.f64 (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 (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #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))))
(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))))
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #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)))))

eval113.0ms (1.5%)

Memory
-12.9MiB live, 162.4MiB allocated
Compiler

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

prune21.0ms (0.3%)

Memory
18.8MiB live, 58.1MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New61417631
Fresh000
Picked101
Done000
Total61517632
Accuracy
99.9%
Counts
632 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.2%
(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)))
89.9%
(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)))))
90.8%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
85.9%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
87.6%
(/.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))
80.9%
(/.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))
88.2%
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
90.8%
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
88.2%
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
88.2%
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
85.9%
(*.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)))))
54.8%
(*.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)))
48.2%
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
54.5%
#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)))
48.2%
#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)))
56.2%
#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)))
59.0%
#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 846 to 580 computations (31.4% saved)

simplify150.0ms (2%)

Memory
-14.1MiB live, 140.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 b a) a)
cost-diff0
(/.f64 (/.f64 (-.f64 b a) a) b)
cost-diff128
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
cost-diff1280
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
cost-diff0
(+.f64 a b)
cost-diff0
(*.f64 (+.f64 a b) (-.f64 b a))
cost-diff0
(PI.f64)
cost-diff1408
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
cost-diff0
#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)))
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-diff128
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
cost-diff3072
(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: 0 (0.0ms)

IterNodesCost
052366
085378
1180366
2510341
31899301
45218301
08247300
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)
#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)))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(PI.f64)
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 a 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 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(PI.f64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
a
b
(-.f64 b a)
(*.f64 #s(literal 2 binary64) (*.f64 a b))
#s(literal 2 binary64)
(*.f64 a b)
(*.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 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(+.f64 a b)
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
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 (/.f64 (PI.f64) (+.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b))
(/.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 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) #s(literal 1/2 binary64))
(/.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)
#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 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (PI.f64))
(PI.f64)
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 a 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 (/.f64 (PI.f64) (+.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 b a))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a))
(PI.f64)
(*.f64 (+.f64 a b) (-.f64 b a))
(*.f64 (-.f64 b a) (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a
b
(-.f64 b a)
(*.f64 #s(literal 2 binary64) (*.f64 a b))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a b)
(*.f64 b 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 (/.f64 (PI.f64) (+.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64) (/.f64 (PI.f64) a)) (+.f64 b a))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (/.f64 (-.f64 b a) b) a)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(/.f64 (PI.f64) (+.f64 a b))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 a b)
(+.f64 b a)
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)

localize169.0ms (2.3%)

Memory
2.3MiB live, 202.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.18359375
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy0.2578125
(/.f64 (PI.f64) (+.f64 a b))
accuracy0.28515625
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
accuracy7.129086097704115
(/.f64 (/.f64 (-.f64 b a) a) b)
accuracy0.00390625
(*.f64 #s(literal 2 binary64) (*.f64 a b))
accuracy0.15462875976844204
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
accuracy0.34488333562090256
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy27.49166612313988
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
accuracy0.0078125
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy0.29296875
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
accuracy2.5443705362240614
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
accuracy26.58806981232447
#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)))
accuracy0.0
(PI.f64)
accuracy0.304123254247828
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
accuracy5.722899835002079
(*.f64 (*.f64 a a) b)
accuracy23.652075196647687
#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)))
accuracy0.2734375
(/.f64 (PI.f64) (-.f64 b a))
accuracy0.2890625
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
accuracy2.160152121660412
(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)))
accuracy2.3783206697274095
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
Samples
110.0ms256×0valid
Compiler

Compiled 711 to 104 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-div: 46.0ms (55% of total)
ival-mult: 22.0ms (26.3% of total)
ival-pow: 5.0ms (6% of total)
ival-add: 4.0ms (4.8% of total)
ival-sub: 4.0ms (4.8% of total)
ival-pi: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series58.0ms (0.8%)

Memory
29.0MiB live, 101.4MiB allocated
Counts
24 → 198
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 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
(/.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)
#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)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(*.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 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(/.f64 (PI.f64) (-.f64 b a))
(*.f64 (*.f64 a a) b)
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/.f64 (PI.f64) (*.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 #s(literal 2 binary64) (*.f64 a b))
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)
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a
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(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -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 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (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) (+ 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)) (/ (* 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))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -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))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
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))) (neg b)) (/ (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) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (+ a b) (- b a)) (+ a b) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* 2 (* a b)))
11.0ms
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))) (neg b)) (/ (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) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (+ a b) (- b a)) (+ a b) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* 2 (* a b)))
9.0ms
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))) (neg b)) (/ (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) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (+ a b) (- b a)) (+ a b) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* 2 (* a b)))
9.0ms
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))) (neg b)) (/ (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) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (+ a b) (- b a)) (+ a b) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* 2 (* a b)))
8.0ms
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))) (neg b)) (/ (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) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (+ a b) (- b a)) (+ a b) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* 2 (* a b)))

simplify201.0ms (2.7%)

Memory
-3.9MiB live, 275.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010775147
133204297
089824061
Stop Event
iter limit
node limit
Counts
198 → 196
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 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)
(+ (* -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 (/ (PI) a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(pow b 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
b
(+ a b)
(/ (PI) (* a b))
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(+ (/ (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)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (PI) (pow b 2))
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(+ (* a (- (* a (- (* -1 (* 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 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(* 2 (* a 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) 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))
(/ (PI) a)
(/ (+ (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 (/ (PI) b))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(* -1 (pow a 2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
a
(* a (+ 1 (/ b a)))
(* -1 (/ (PI) (* a b)))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
-1
(- (/ b a) 1)
(* -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)
(* -1 (/ (PI) (pow a 2)))
(/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (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) (+ 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 (/ (+ (* -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))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a))
(* -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 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(- (* -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)))) 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 (/ (* 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)) a)) (* 1/2 (PI))) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (- (/ b a) 1) 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 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* 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))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(/ (+ (* 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)) (* 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) (* -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))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(* b (+ 1 (/ a b)))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(* b (- (/ 1 a) (/ 1 b)))
(/ (+ (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)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -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 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (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) (+ 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)) (/ (* 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))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -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))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
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 (fma.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 (*.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 (+ (* -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 (fma.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 (*.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 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))))))
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(/.f64 (neg.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)))) (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 (neg.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)))) (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 (neg.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)))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) b) (*.f64 (neg.f64 (PI.f64)) a)) (neg.f64 b)) (PI.f64)) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) b) (*.f64 (*.f64 (neg.f64 a) a) (PI.f64))) (neg.f64 b)) (*.f64 (PI.f64) a)) (neg.f64 b)) (PI.f64)) (neg.f64 b))
(/ (+ (* -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 a (/.f64 (PI.f64) b)) #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 (*.f64 (*.f64 a a) (PI.f64)) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (PI.f64))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a a) b) #s(literal 0 binary64)) b)) (*.f64 b 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 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) #s(literal -1 binary64) (/.f64 (PI.f64) a)) b)
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) (*.f64 (PI.f64) #s(literal -2 binary64))) (neg.f64 b)) (/.f64 (PI.f64) a)) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) (*.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) a)) b) #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -2 binary64))) (neg.f64 b)) (/.f64 (PI.f64) a)) (neg.f64 b))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(/.f64 (fma.f64 a (/.f64 (PI.f64) b) (PI.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))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) (neg.f64 b))) b)) (*.f64 b b))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (fma.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)) (*.f64 (*.f64 a a) (PI.f64)))) (neg.f64 b))) (neg.f64 b))) b)) (*.f64 b b))

rewrite236.0ms (3.2%)

Memory
10.3MiB live, 239.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052279
085295
1384263
23952263
08128263
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 371
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 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
(/.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)
#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)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(*.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 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(/.f64 (PI.f64) (-.f64 b a))
(*.f64 (*.f64 a a) b)
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/.f64 (PI.f64) (*.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 #s(literal 2 binary64) (*.f64 a b))
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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b 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 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b a))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (-.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 #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 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.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 a b) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a b) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) (-.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 (-.f64 b a) a) b) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)))
(*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (-.f64 b a) a)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b a) b))
(*.f64 (/.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) b))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (*.f64 a b)) (/.f64 (-.f64 b a) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)))
(*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (/.f64 (-.f64 b a) #s(literal 2 binary64))) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.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 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a)))
(*.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (/.f64 (-.f64 b a) #s(literal 2 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 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b))) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 a b)) #s(literal -1 binary64)))
(*.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 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))))
(*.f64 (/.f64 (-.f64 b a) a) (*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))))
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(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)))
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(/.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))) (/.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 (+.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))) (+.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) #s(literal 2 binary64)) (-.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)) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 b))))))
(/.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))) (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))))
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b))) (*.f64 #s(literal -2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)) b))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (*.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a)) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.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)))))
(/.f64 #s(literal 1 binary64) (/.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))) (+.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (/.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 b (/.f64 (-.f64 b a) a))))
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 b (/.f64 (-.f64 b a) a)))
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)) (/.f64 b (/.f64 (-.f64 b a) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b))) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal -2 binary64) (*.f64 a b))))
(fma.f64 (pow.f64 (/.f64 (neg.f64 b) (*.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 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (pow.f64 (/.f64 (neg.f64 b) (*.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 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (pow.f64 (/.f64 (neg.f64 b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (*.f64 b (-.f64 b a))) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
(fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
(fma.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (pow.f64 a #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
(fma.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
(fma.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
(fma.f64 (/.f64 #s(literal -1 binary64) 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 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (neg.f64 (+.f64 a b))) (pow.f64 b #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (pow.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
(fma.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (neg.f64 b)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (/.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)) a)))
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
(fma.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a) (+.f64 a b)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
(fma.f64 (PI.f64) (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a) (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 (*.f64 a (/.f64 (+.f64 a b) (PI.f64))) #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 (/.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)) a)))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) #s(literal 2 binary64)) (/.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)))) (/.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)) (/.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)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a b))) (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal -2 binary64) (*.f64 a b))))
(-.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)) (/.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 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) #s(literal 2 binary64)) (/.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 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (-.f64 b a)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) (/.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) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))
(*.f64 (*.f64 #s(literal 2 binary64) b) a)
(*.f64 (*.f64 #s(literal 2 binary64) a) b)
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 a b))
(*.f64 a (*.f64 b #s(literal 2 binary64)))
(*.f64 b (*.f64 #s(literal 2 binary64) a))

eval368.0ms (4.9%)

Memory
0.4MiB live, 251.2MiB allocated
Compiler

Compiled 48 446 to 5 582 computations (88.5% saved)

prune109.0ms (1.5%)

Memory
-36.7MiB live, 87.8MiB allocated
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New1 461161 477
Fresh10212
Picked235
Done000
Total1 473211 494
Accuracy
100.0%
Counts
1 494 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.8%
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(approx (* (/ 1/2 (- b a)) (pow a -1)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
90.3%
(fma.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a) (+.f64 a b)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
90.8%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
55.2%
(/.f64 (*.f64 (/.f64 (PI.f64) #s(approx (* (+ a b) (- b a)) (*.f64 (neg.f64 a) a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
49.6%
(/.f64 (*.f64 (/.f64 (PI.f64) #s(approx (* (+ a b) (- b a)) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
86.3%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
87.6%
(/.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))
98.8%
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
85.9%
(*.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)))))
67.2%
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
63.3%
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
66.5%
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
56.2%
#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)))
48.2%
#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)))
59.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
62.9%
#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)))
54.5%
#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)))
62.6%
#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)))
59.0%
#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)))
62.8%
#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))))
58.9%
#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 719 computations (32.7% saved)

simplify135.0ms (1.8%)

Memory
29.3MiB live, 66.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff0
#s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))
cost-diff0
(*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b)))
cost-diff0
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(-.f64 b a)
cost-diff0
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff256
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
cost-diff0
#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)))
cost-diff384
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
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
(-.f64 b a)
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (-.f64 b a))
cost-diff1408
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046311
070311
1149307
2524291
32500275
44955275
08265275
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b)))
(*.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
b
a
(*.f64 (+.f64 a b) (*.f64 a b))
(+.f64 a b)
(*.f64 a b)
(/.f64 #s(literal 1/2 binary64) (-.f64 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 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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
a
(*.f64 a b)
b
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 b a)
b
a
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 a b)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b)))
#s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(+.f64 a b)
b
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)
Outputs
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) (/.f64 (-.f64 b a) a))
(*.f64 (PI.f64) (-.f64 b a))
(*.f64 (-.f64 b a) (PI.f64))
(PI.f64)
(-.f64 b a)
b
a
(*.f64 (+.f64 a b) (*.f64 a b))
(*.f64 (*.f64 (+.f64 a b) b) a)
(+.f64 a b)
(*.f64 a b)
(/.f64 #s(literal 1/2 binary64) (-.f64 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 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 (*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
a
(*.f64 a b)
b
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64)))
(-.f64 b a)
b
a
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (+.f64 a b))
(*.f64 a b)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(+.f64 a b)
b
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)

localize158.0ms (2.1%)

Memory
-5.5MiB live, 68.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.18359375
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy0.2578125
(/.f64 (PI.f64) (+.f64 a b))
accuracy0.28515625
(*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b)))
accuracy34.32995338578418
#s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))
accuracy0.0
(PI.f64)
accuracy0.2421875
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy1.5065201776911692
(*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy7.282096365312596
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
accuracy0.0
(PI.f64)
accuracy0.15462875976844204
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b))
accuracy0.28515625
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
accuracy23.652075196647687
#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)))
accuracy0.193691259768442
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
accuracy0.2716896924921323
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
accuracy5.722899835002079
(*.f64 (*.f64 a a) b)
accuracy23.652075196647687
#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))))
accuracy0.1484375
(*.f64 (+.f64 a b) (*.f64 a b))
accuracy0.18359375
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy0.23828125
(*.f64 (PI.f64) (-.f64 b a))
accuracy14.837640500123042
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b)))
Samples
103.0ms256×0valid
Compiler

Compiled 592 to 88 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 57.0ms (68.9% of total)
ival-div: 19.0ms (23% of total)
ival-sub: 4.0ms (4.8% of total)
ival-pi: 1.0ms (1.2% of total)
ival-add: 1.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
21.5MiB live, 21.5MiB allocated
Counts
22 → 107
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (PI.f64) (-.f64 b a))
(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 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 (*.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 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b)))
#s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b)))
(*.f64 (+.f64 a b) (*.f64 a b))
(*.f64 (*.f64 a a) b)
(*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (PI.f64) (+.f64 a b))
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)
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(* 1/2 (/ (PI) a))
(* 1/2 (* b (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(/ (PI) (* a b))
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
(* (pow a 2) b)
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(/ (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 (/ (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))
(* -1/2 (* a (PI)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* -1 (/ (PI) (* a b)))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* -1 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(/ (PI) a)
(/ (+ (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 (/ (+ (* -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 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* -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))
(/ (+ (* -1/2 (/ (* 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 a)
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (- (/ b a) 1) b)
(* b (+ (* a b) (pow a 2)))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(+ (* -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 (/ (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))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(/ (+ (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 (/ (+ (* -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 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* -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))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
a
@-inf
((* (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (/ 1/2 (- b a))) (* (PI) (- b a)) (PI) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) a) (* (PI) 1/2) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ 1 a) (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (* (+ a b) (* a b)) (* (* a a) b) (* (* a b) (* (+ a b) (- b a))) (/ (PI) (+ a b)))
4.0ms
b
@-inf
((* (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (/ 1/2 (- b a))) (* (PI) (- b a)) (PI) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) a) (* (PI) 1/2) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ 1 a) (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (* (+ a b) (* a b)) (* (* a a) b) (* (* a b) (* (+ a b) (- b a))) (/ (PI) (+ a b)))
3.0ms
a
@inf
((* (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (/ 1/2 (- b a))) (* (PI) (- b a)) (PI) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) a) (* (PI) 1/2) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ 1 a) (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (* (+ a b) (* a b)) (* (* a a) b) (* (* a b) (* (+ a b) (- b a))) (/ (PI) (+ a b)))
3.0ms
a
@0
((* (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (/ 1/2 (- b a))) (* (PI) (- b a)) (PI) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) a) (* (PI) 1/2) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ 1 a) (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (* (+ a b) (* a b)) (* (* a a) b) (* (* a b) (* (+ a b) (- b a))) (/ (PI) (+ a b)))
3.0ms
b
@inf
((* (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (/ 1/2 (- b a))) (* (PI) (- b a)) (PI) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) a) (* (PI) 1/2) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ 1 a) (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (* (+ a b) (* a b)) (* (* a a) b) (* (* a b) (* (+ a b) (- b a))) (/ (PI) (+ a b)))

simplify224.0ms (3%)

Memory
-10.8MiB live, 72.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04931786
115461591
246901491
082301438
Stop Event
iter limit
node limit
Counts
107 → 106
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)
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(* 1/2 (/ (PI) a))
(* 1/2 (* b (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(/ (PI) (* a b))
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
(* (pow a 2) b)
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(/ (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 (/ (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))
(* -1/2 (* a (PI)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* -1 (/ (PI) (* a b)))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* -1 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(/ (PI) a)
(/ (+ (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 (/ (+ (* -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 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* -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))
(/ (+ (* -1/2 (/ (* 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 a)
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (- (/ b a) 1) b)
(* b (+ (* a b) (pow a 2)))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(+ (* -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 (/ (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))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(/ (+ (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 (/ (+ (* -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 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* -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))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
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(/.f64 (fma.f64 (/.f64 (neg.f64 (PI.f64)) b) a (PI.f64)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/.f64 (fma.f64 a (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) b) (PI.f64)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/.f64 (fma.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) b) (PI.f64))) b)
(/ (+ (* -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 (PI.f64) (*.f64 a (/.f64 a b))) #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 (neg.f64 (PI.f64)) b) a (PI.f64)) b)
(* -1 (* b (- (/ a b) 1)))
(fma.f64 (neg.f64 b) (/.f64 a b) b)
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64) (/.f64 (PI.f64) a)) b)
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) a (*.f64 #s(literal -2 binary64) (PI.f64))) b) (/.f64 (PI.f64) a)) b)
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (*.f64 a (/.f64 a b)) a)) b) (PI.f64)) (PI.f64)) b) (/.f64 (PI.f64) a)) b)
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 (pow.f64 b #s(literal 3 binary64)) a)
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(*.f64 (-.f64 a (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(/.f64 (fma.f64 (/.f64 (neg.f64 (PI.f64)) b) a (PI.f64)) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(/.f64 (fma.f64 a (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) b) (PI.f64)) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (fma.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) b) (PI.f64))) b)

rewrite364.0ms (4.9%)

Memory
-20.0MiB live, 133.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046244
070240
1304216
22845216
08101216
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 292
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (PI.f64) (-.f64 b a))
(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 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 (*.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 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b)))
#s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b)))
(*.f64 (+.f64 a b) (*.f64 a b))
(*.f64 (*.f64 a a) b)
(*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (PI.f64) (+.f64 a b))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (-.f64 b a) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (*.f64 (-.f64 b a) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (*.f64 (-.f64 b a) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 b (+.f64 a b)) (-.f64 b a)) #s(literal 1/2 binary64)) #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 (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) b) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 a a (*.f64 b b)))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) b) (/.f64 #s(literal 1/2 binary64) a)) (-.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 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (*.f64 b b)))
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (PI.f64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)))
(*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (+.f64 a b) a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 (+.f64 a b) b) a)) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)))
(*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) a) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 a b)) (-.f64 b a))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 a b)) (-.f64 b a))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)) (pow.f64 (/.f64 (-.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (PI.f64))) (/.f64 (pow.f64 (*.f64 (+.f64 a b) a) #s(literal -1 binary64)) b))
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b))
(*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a b) a) #s(literal -1 binary64)) b) (-.f64 b a)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a b) a) #s(literal -1 binary64)) b) (-.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a b) a) #s(literal -1 binary64)) b) (pow.f64 (/.f64 (-.f64 b a) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))))
(*.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) a) (neg.f64 b)) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 b (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 b a) a) (pow.f64 (/.f64 (*.f64 (*.f64 b (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 b a) a) (*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))))
(*.f64 (/.f64 (-.f64 b a) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b (+.f64 a b)) (-.f64 b a))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a b) a) #s(literal -1 binary64)) b) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (pow.f64 (/.f64 (*.f64 (*.f64 b (+.f64 a b)) (-.f64 b a)) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 b a) (*.f64 (*.f64 b (+.f64 a b)) (-.f64 b a))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 b a) (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a b) a) #s(literal -1 binary64)) b) (-.f64 b a))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) b) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) b) a)))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a b) a) #s(literal -1 binary64)) b) (-.f64 b a))))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a b) a) #s(literal -1 binary64)) b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(*.f64 (-.f64 b a) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 a b)))
(*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) b) (/.f64 #s(literal 1/2 binary64) a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (-.f64 b a) (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (+.f64 a b) a) (PI.f64)) (/.f64 b (-.f64 b a)))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 a b))) (neg.f64 (fma.f64 a a (*.f64 b (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (*.f64 (*.f64 a b) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 a a (*.f64 b (-.f64 b a)))))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 a b)) (-.f64 a b))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 a b)) (fma.f64 a a (*.f64 b (-.f64 b a))))
(/.f64 (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(/.f64 (*.f64 (*.f64 a b) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(fma.f64 (*.f64 a a) b (*.f64 b (*.f64 a b)))
(fma.f64 (*.f64 a a) b (*.f64 (*.f64 a b) b))
(fma.f64 (*.f64 a b) a (*.f64 b (*.f64 a b)))
(fma.f64 (*.f64 a b) a (*.f64 (*.f64 a b) b))
(fma.f64 (*.f64 a b) b (*.f64 (*.f64 a a) b))
(fma.f64 a (*.f64 a b) (*.f64 b (*.f64 a b)))
(fma.f64 a (*.f64 a b) (*.f64 (*.f64 a b) b))
(fma.f64 b (*.f64 a a) (*.f64 b (*.f64 a b)))
(fma.f64 b (*.f64 a a) (*.f64 (*.f64 a b) b))
(fma.f64 b (*.f64 a b) (*.f64 (*.f64 a a) b))
(+.f64 (*.f64 b (*.f64 a b)) (*.f64 (*.f64 a a) b))
(+.f64 (*.f64 (*.f64 a b) b) (*.f64 (*.f64 a a) b))
(+.f64 (*.f64 (*.f64 a a) b) (*.f64 b (*.f64 a b)))
(+.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 a b) b))
(*.f64 (*.f64 a a) b)
(*.f64 (*.f64 a b) a)
(*.f64 a (*.f64 a b))
(*.f64 b (*.f64 a a))
(*.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) a) b)
(*.f64 (*.f64 (*.f64 a b) (-.f64 b a)) (+.f64 a b))
(*.f64 (*.f64 (*.f64 b (+.f64 a b)) (-.f64 b a)) a)
(*.f64 (*.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (-.f64 b a))
(*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (+.f64 a b) (*.f64 (-.f64 b a) (*.f64 a b)))
(*.f64 (+.f64 a b) (*.f64 (*.f64 a b) (-.f64 b a)))
(*.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) b) a))
(*.f64 a (*.f64 (*.f64 b (+.f64 a b)) (-.f64 b a)))
(*.f64 b (*.f64 a (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 (*.f64 (+.f64 a b) b) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 a b) b) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 b (*.f64 (*.f64 (+.f64 a b) b) a)) (*.f64 b (*.f64 (*.f64 (+.f64 a b) b) a)) (-.f64 (*.f64 (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 a b) b) a)) (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 a b) b) a))) (*.f64 (*.f64 b (*.f64 (*.f64 (+.f64 a b) b) a)) (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 a b) b) a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) b) (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) b) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (neg.f64 a)) (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (neg.f64 a))) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) b) (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (neg.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a b) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a b) (*.f64 (neg.f64 a) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a b) (*.f64 b b)) (*.f64 (*.f64 a b) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 a b) (*.f64 (neg.f64 a) a)) (*.f64 (*.f64 a b) (*.f64 (neg.f64 a) a))) (*.f64 (*.f64 (*.f64 a b) (*.f64 b b)) (*.f64 (*.f64 a b) (*.f64 (neg.f64 a) a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) (*.f64 a b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b b) (*.f64 a b)) (*.f64 (*.f64 b b) (*.f64 a b)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a b)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a b))) (*.f64 (*.f64 (*.f64 b b) (*.f64 a b)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a b))) (neg.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 a b))) (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 a b) a (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (*.f64 (+.f64 a b) (-.f64 b a)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (*.f64 a b) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 a b) (-.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 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a b)) (fma.f64 a a (*.f64 b b)))
(/.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 (*.f64 (*.f64 (+.f64 a b) b) a) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (*.f64 b b)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(/.f64 (*.f64 (*.f64 a b) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 a a (*.f64 b b)))
(/.f64 (*.f64 (*.f64 a b) (-.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))))
(fma.f64 (*.f64 b b) (*.f64 a b) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a b)))
(fma.f64 (*.f64 (*.f64 (+.f64 a b) b) a) b (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (neg.f64 a)))
(fma.f64 (*.f64 a b) (*.f64 b b) (*.f64 (*.f64 a b) (*.f64 (neg.f64 a) a)))
(fma.f64 b (*.f64 (*.f64 (+.f64 a b) b) a) (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 a b) b) a)))
(+.f64 (*.f64 b (*.f64 (*.f64 (+.f64 a b) b) a)) (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 a b) b) a)))
(+.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) b) (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (neg.f64 a)))
(+.f64 (*.f64 (*.f64 a b) (*.f64 b b)) (*.f64 (*.f64 a b) (*.f64 (neg.f64 a) a)))
(+.f64 (*.f64 (*.f64 b b) (*.f64 a b)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(*.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(*.f64 (pow.f64 (+.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 a b) #s(literal -1 binary64)) (PI.f64))
(*.f64 (neg.f64 (PI.f64)) (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (+.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 (PI.f64) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (+.f64 a b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 a b) (PI.f64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 a b) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 (PI.f64) (+.f64 a b))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (+.f64 a b)))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (+.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 a b))) (/.f64 (PI.f64) (neg.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a b) (PI.f64))) #s(literal -1 binary64)))

eval256.0ms (3.4%)

Memory
12.5MiB live, 206.6MiB allocated
Compiler

Compiled 42 436 to 4 556 computations (89.3% saved)

prune104.0ms (1.4%)

Memory
-9.9MiB live, 119.0MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1 445101 455
Fresh6713
Picked505
Done213
Total1 458181 476
Accuracy
100.0%
Counts
1 476 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.3%
(fma.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a) (+.f64 a b)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)))
89.3%
(/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) b) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 b a)) (+.f64 a b))
88.5%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) (*.f64 a b))))
84.0%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) a) b))
61.5%
(/.f64 #s(approx (* (- b a) (* (PI) 1/2)) (*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b)))
85.9%
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))))
63.3%
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
63.3%
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
56.2%
#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)))
48.2%
#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)))
59.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
62.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
62.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 a b)))
62.6%
#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)))
59.0%
#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)))
62.8%
#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))))
62.5%
#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 b) a))))
Compiler

Compiled 945 to 646 computations (31.6% saved)

simplify148.0ms (2%)

Memory
22.7MiB live, 179.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff0
#s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))
cost-diff0
(*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b)))
cost-diff0
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
cost-diff0
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 a b)))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 a b))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (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) (PI.f64)) (*.f64 a b)) a))
cost-diff768
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) 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 a b) a))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff0
(*.f64 a b)
cost-diff0
(/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
048315
070311
1145303
2385301
31124298
43330295
55486295
08706295
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b)))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b))
(/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 a b)
a
b
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(+.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 b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) a)
(*.f64 a b)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 a b)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 a b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)
(/.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
a
(*.f64 a b)
b
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b)))
#s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) b)
(PI.f64)
b
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.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)) a) b)
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) b) (/.f64 a (PI.f64)))
(/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 a (PI.f64)))
(*.f64 a b)
(*.f64 b a)
a
b
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(+.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 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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) 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 a b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) a)
(*.f64 (*.f64 a a) b)
(*.f64 a b)
(*.f64 b a)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a 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) (PI.f64)) (*.f64 a b)) a)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(*.f64 a b)
(*.f64 b a)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)
(*.f64 (/.f64 a (PI.f64)) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
a
(*.f64 a b)
(*.f64 b a)
b
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b)))
(*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b)))
(*.f64 #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b)) #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) b)
(PI.f64)
b
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)

localize121.0ms (1.6%)

Memory
-20.2MiB live, 213.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2578125
(/.f64 (PI.f64) b)
accuracy0.28515625
(*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b)))
accuracy34.32995338578418
#s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))
accuracy34.41889622865371
#s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))
accuracy0.15462875976844204
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 a b))
accuracy0.29296875
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a))
accuracy0.42578125
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)
accuracy23.652075196647687
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 a b)))
accuracy0.0
(PI.f64)
accuracy0.109375
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)
accuracy0.6753970320340205
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
accuracy23.652075196647687
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
accuracy0.140625
(*.f64 (*.f64 a b) a)
accuracy0.193691259768442
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))
accuracy0.2716896924921323
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
accuracy23.652075196647687
#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 b) a))))
accuracy0.0
(PI.f64)
accuracy0.140625
(*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b))
accuracy0.2265625
(/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy0.3582802316396509
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b)))
Samples
75.0ms256×0valid
Compiler

Compiled 576 to 91 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 26.0ms (47.2% of total)
ival-mult: 20.0ms (36.3% of total)
ival-sub: 6.0ms (10.9% of total)
ival-pi: 1.0ms (1.8% of total)
ival-add: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series52.0ms (0.7%)

Memory
-7.8MiB live, 56.7MiB allocated
Counts
23 → 76
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b)))
(/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 a b)
(*.f64 #s(literal 1/2 binary64) (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 b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 a b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b)))
#s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b))
(*.f64 (*.f64 a b) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
#s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) b)
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)
(* 2 (/ (* a b) (PI)))
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(* 1/2 (/ (PI) a))
(* 2 (/ a (PI)))
(/ (PI) (* a b))
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* (pow a 2) b)
(* 1/2 (/ (PI) (* a b)))
(/ (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 (/ (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 (/ (PI) (* a b)))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(/ (PI) a)
(/ (+ (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 (/ (+ (* -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 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a))
(* -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))
(/ (+ (* -1/2 (/ (* 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 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (- (/ b a) 1) b)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(+ (* -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 (/ (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 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(/ (+ (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 (/ (+ (* -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 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(* -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))
Calls

6 calls:

TimeVariablePointExpression
31.0ms
b
@inf
((/ 1 (* (/ (* a b) (* 1/2 (PI))) (+ a b))) (/ (* a b) (* 1/2 (PI))) (* a b) (* 1/2 (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ (/ (* 1/2 (PI)) (* a b)) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1 (* (/ 2 (PI)) a)) (/ (/ 1 (* (/ 2 (PI)) a)) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 2 (PI)) a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ 1 a) (* (/ (* a b) (* 1/2 (PI))) (+ a b)) (* (* a b) a) (/ (* 1/2 (PI)) (* a b)) (/ (PI) (+ a b)) (/ (PI) b))
4.0ms
b
@-inf
((/ 1 (* (/ (* a b) (* 1/2 (PI))) (+ a b))) (/ (* a b) (* 1/2 (PI))) (* a b) (* 1/2 (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ (/ (* 1/2 (PI)) (* a b)) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1 (* (/ 2 (PI)) a)) (/ (/ 1 (* (/ 2 (PI)) a)) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 2 (PI)) a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ 1 a) (* (/ (* a b) (* 1/2 (PI))) (+ a b)) (* (* a b) a) (/ (* 1/2 (PI)) (* a b)) (/ (PI) (+ a b)) (/ (PI) b))
4.0ms
a
@-inf
((/ 1 (* (/ (* a b) (* 1/2 (PI))) (+ a b))) (/ (* a b) (* 1/2 (PI))) (* a b) (* 1/2 (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ (/ (* 1/2 (PI)) (* a b)) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1 (* (/ 2 (PI)) a)) (/ (/ 1 (* (/ 2 (PI)) a)) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 2 (PI)) a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ 1 a) (* (/ (* a b) (* 1/2 (PI))) (+ a b)) (* (* a b) a) (/ (* 1/2 (PI)) (* a b)) (/ (PI) (+ a b)) (/ (PI) b))
4.0ms
a
@0
((/ 1 (* (/ (* a b) (* 1/2 (PI))) (+ a b))) (/ (* a b) (* 1/2 (PI))) (* a b) (* 1/2 (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ (/ (* 1/2 (PI)) (* a b)) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1 (* (/ 2 (PI)) a)) (/ (/ 1 (* (/ 2 (PI)) a)) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 2 (PI)) a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ 1 a) (* (/ (* a b) (* 1/2 (PI))) (+ a b)) (* (* a b) a) (/ (* 1/2 (PI)) (* a b)) (/ (PI) (+ a b)) (/ (PI) b))
4.0ms
a
@inf
((/ 1 (* (/ (* a b) (* 1/2 (PI))) (+ a b))) (/ (* a b) (* 1/2 (PI))) (* a b) (* 1/2 (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ (/ (* 1/2 (PI)) (* a b)) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1 (* (/ 2 (PI)) a)) (/ (/ 1 (* (/ 2 (PI)) a)) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 2 (PI)) a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ 1 a) (* (/ (* a b) (* 1/2 (PI))) (+ a b)) (* (* a b) a) (/ (* 1/2 (PI)) (* a b)) (/ (PI) (+ a b)) (/ (PI) b))

simplify188.0ms (2.5%)

Memory
0.6MiB live, 267.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04141510
112281362
234281278
083801221
Stop Event
iter limit
node limit
Counts
76 → 76
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)
(* 2 (/ (* a b) (PI)))
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(* 1/2 (/ (PI) a))
(* 2 (/ a (PI)))
(/ (PI) (* a b))
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* (pow a 2) b)
(* 1/2 (/ (PI) (* a b)))
(/ (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 (/ (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 (/ (PI) (* a b)))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(/ (PI) a)
(/ (+ (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 (/ (+ (* -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 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a))
(* -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))
(/ (+ (* -1/2 (/ (* 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 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (- (/ b a) 1) b)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(+ (* -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 (/ (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 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(/ (+ (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 (/ (+ (* -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 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(* -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))
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)
(* 2 (/ (* a b) (PI)))
(*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64))
(* a b)
(*.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))
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(* 2 (/ a (PI)))
(*.f64 (/.f64 a (PI.f64)) #s(literal 2 binary64))
(/ (PI) (* a b))
(/.f64 (/.f64 (PI.f64) a) b)
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal -2 binary64) (/.f64 (PI.f64) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -2 binary64))) a (/.f64 (PI.f64) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -2 binary64))) a (/.f64 (PI.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)
(* 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 b a)))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* 1/2 (/ (PI) (* a b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64))
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (/.f64 a b))) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 #s(literal -1 binary64) (/.f64 a 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 (fma.f64 (*.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 #s(literal -1 binary64) (/.f64 a b)))) a (/.f64 (PI.f64) 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) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #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 (/ (PI) (* a b)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 b a))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -2 binary64) (/.f64 (PI.f64) b)) (neg.f64 a))
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b (neg.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -2 binary64) (/.f64 (PI.f64) b)))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 b b) (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b (neg.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -2 binary64) (/.f64 (PI.f64) b))))) a)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(* 2 (/ (* (pow a 2) b) (PI)))
(*.f64 (*.f64 (*.f64 a (/.f64 a (PI.f64))) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b (PI.f64))))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(*.f64 (/.f64 (PI.f64) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/.f64 (fma.f64 b (/.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) a) (PI.f64)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (PI.f64) b (/.f64 (*.f64 b (*.f64 b (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))))) a))) a) (PI.f64)) a)
(/ (+ (* -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 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -2 binary64) (/.f64 (PI.f64) b)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))
(/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (/.f64 b a) #s(literal 1 binary64))) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (*.f64 b (/.f64 b a)) b)) (neg.f64 a))) a) (/.f64 (PI.f64) b)) a)
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(*.f64 (/.f64 (PI.f64) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(/.f64 (fma.f64 b (/.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) a) (PI.f64)) a)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (PI.f64) b (/.f64 (*.f64 b (*.f64 b (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))))) a))) a) (PI.f64)) a)
(/ (+ (* -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)
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) (/.f64 b a) (/.f64 (neg.f64 (PI.f64)) a)) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -2 binary64)) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 2 binary64))) b (/.f64 (neg.f64 (PI.f64)) a)) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 2 binary64))) b (/.f64 (neg.f64 (PI.f64)) a)) b)
(/ (- (/ b a) 1) b)
(/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(*.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 (/.f64 a (PI.f64)) (+.f64 b a)))
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (-.f64 (/.f64 b a) #s(literal 1 binary64))) b (/.f64 (PI.f64) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b (/.f64 (neg.f64 (PI.f64)) (*.f64 a a))) b (/.f64 (PI.f64) a))
(/ (+ (* -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))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64) (/.f64 (PI.f64) a)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) a)) b) (/.f64 (PI.f64) a)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) a)) b) (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64)) (*.f64 a a) (/.f64 (PI.f64) a))) b)
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a (PI.f64))))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (/.f64 a b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/.f64 (fma.f64 a (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) b) (PI.f64)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 a (*.f64 a (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))))) b))) b) (PI.f64)) b)
(/ (+ (* -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 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64) (/.f64 (PI.f64) a)) b)
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) a)) b) (/.f64 (PI.f64) a)) b)
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (*.f64 a (/.f64 a b)) a)) b)) b) (/.f64 (PI.f64) a)) b)
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (/.f64 a b))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(/.f64 (fma.f64 a (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) b) (PI.f64)) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 a (*.f64 a (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))))) b))) b) (PI.f64)) b)

rewrite233.0ms (3.1%)

Memory
-0.3MiB live, 274.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048267
070253
1307253
22511253
08458253
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 023
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b)))
(/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 a b)
(*.f64 #s(literal 1/2 binary64) (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 b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 a b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b)))
#s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b))
(*.f64 (*.f64 a b) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b))
#s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) b)
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (neg.f64 (PI.f64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) (/.f64 (PI.f64) b))
(*.f64 (pow.f64 (*.f64 (+.f64 b a) a) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) (+.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 (pow.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (pow.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 b a)))
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (*.f64 (/.f64 b (PI.f64)) (+.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) b) (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64)) (+.f64 b a)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 b a))) #s(literal 1 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (+.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) b) a) (+.f64 b a)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 b a))))
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) a) (neg.f64 (*.f64 (+.f64 b a) b)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 (neg.f64 a) b)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (*.f64 b (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) b) a)) (neg.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 (+.f64 b a) b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) (neg.f64 (neg.f64 (+.f64 b a))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) (+.f64 b a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 b a) (*.f64 (neg.f64 a) b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
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(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 b a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a)
(/.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (PI.f64))) (neg.f64 b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (/.f64 b (PI.f64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) b) a)) #s(literal -2 binary64))
(/.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 (/.f64 b (PI.f64))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a)
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (*.f64 b a) #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 b a)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (PI.f64)))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) a) (neg.f64 b))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (neg.f64 (*.f64 (neg.f64 a) b))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 b a) #s(literal -2 binary64)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 a (/.f64 b (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 (neg.f64 a) (/.f64 #s(literal 2 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (neg.f64 (neg.f64 b)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 b (PI.f64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (*.f64 (neg.f64 a) (/.f64 #s(literal 2 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) b) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 b a) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) b) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) b) a)))
(exp.f64 (fma.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) #s(literal -1 binary64) (neg.f64 (log.f64 b))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (PI.f64))
(*.f64 (PI.f64) (pow.f64 b #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) b))
(pow.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 b)))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (PI.f64))))
(/.f64 (PI.f64) b)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (PI.f64)))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) b))
(neg.f64 (/.f64 (PI.f64) (neg.f64 b)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (PI.f64) (neg.f64 b)))
(exp.f64 (fma.f64 (log.f64 b) #s(literal -1 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (neg.f64 (log.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (PI.f64))) #s(literal -1 binary64)))

eval184.0ms (2.5%)

Memory
31.3MiB live, 354.4MiB allocated
Compiler

Compiled 31 898 to 4 100 computations (87.1% saved)

prune43.0ms (0.6%)

Memory
-4.8MiB live, 115.0MiB allocated
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New1 08981 097
Fresh9312
Picked235
Done011
Total1 100151 115
Accuracy
100.0%
Counts
1 115 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.6%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 (+.f64 b a) b))
95.8%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
99.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 (neg.f64 a) b)))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 #s(literal 2 binary64) a)) (+.f64 a b)))
56.2%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* 1/2 (PI))) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
99.6%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 b a)))
63.3%
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
63.3%
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
56.2%
#s(approx (/ 1 (* (/ (* a b) (* 1/2 (PI))) (+ a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
62.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a) a))
62.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a))
62.6%
#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)))
59.0%
#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)))
62.8%
#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))))
62.5%
#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 b) a))))
Compiler

Compiled 1 609 to 509 computations (68.4% saved)

regimes44.0ms (0.6%)

Memory
11.0MiB live, 86.5MiB allocated
Counts
52 → 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 a b) 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) (+ 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 (* (/ (* a b) (* 1/2 (PI))) (+ a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 (neg.f64 a) b)))
#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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a 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)) (*.f64 a a)) b))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 (+.f64 b a) b))
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* 1/2 (PI))) (+ a b)) (*.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 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a) a))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 #s(literal 2 binary64) a)) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b)))
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 b a)))
(/.f64 #s(approx (* (- b a) (* (PI) 1/2)) (*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a)) (*.f64 a b)))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) (*.f64 b (-.f64 b 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 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) a) b))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) (*.f64 a b))))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(approx (* (+ a b) (- b a)) (*.f64 b b))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a 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) 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)))
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) #s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(approx (* (+ a b) (- b a)) (*.f64 (neg.f64 a) a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
#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 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.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 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.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 (*.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(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 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.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 (*.f64 (-.f64 b a) (PI.f64)) b) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 b a)) (+.f64 a 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)))
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(approx (* (/ 1/2 (- b a)) (pow a -1)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
(fma.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a) (+.f64 a b)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 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)))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 b a)))
Calls

3 calls:

15.0ms
b
13.0ms
(*.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)))
13.0ms
a
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)

regimes22.0ms (0.3%)

Memory
-2.9MiB live, 37.8MiB 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 a b) 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) (+ 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 (* (/ (* a b) (* 1/2 (PI))) (+ a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 (neg.f64 a) b)))
#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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a 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)) (*.f64 a a)) b))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 (+.f64 b a) b))
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* 1/2 (PI))) (+ a b)) (*.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 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a) a))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 #s(literal 2 binary64) a)) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b)))
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
Outputs
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 (neg.f64 a) b)))
Calls

3 calls:

10.0ms
(*.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)))
6.0ms
b
6.0ms
a
Results
AccuracySegmentsBranch
99.3%1a
99.3%1b
99.3%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)

regimes12.0ms (0.2%)

Memory
-7.0MiB live, 30.5MiB allocated
Counts
8 → 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 a b) 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) (+ 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 (* (/ (* a b) (* 1/2 (PI))) (+ a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
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 b) a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))
Calls

3 calls:

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)))
3.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
99.4%2a
97.4%2b
95.8%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)

regimes11.0ms (0.1%)

Memory
-10.7MiB live, 26.6MiB allocated
Counts
7 → 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 a b) 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) (+ 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 (* (/ (* a b) (* 1/2 (PI))) (+ 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:

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)))
3.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
68.2%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)))
82.1%2b
86.5%2a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes7.0ms (0.1%)

Memory
-10.1MiB live, 29.4MiB 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 a b) 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
62.6%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)))
62.6%1b
62.6%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes5.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB 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 a b) 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 a b) a))))
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
62.5%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)))
62.5%1a
62.5%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0%)

Memory
10.5MiB live, 10.5MiB 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
(*.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
a
1.0ms
b
Results
AccuracySegmentsBranch
58.9%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)))
58.9%1a
58.9%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch18.0ms (0.2%)

Memory
-33.3MiB live, 23.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
16.0ms
-1.3754448580958594e+156
-1.2467545828211329e+154
Samples
12.0ms96×0valid
Compiler

Compiled 276 to 218 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 6.0ms (61.5% of total)
ival-mult: 2.0ms (20.5% of total)
ival-sub: 1.0ms (10.3% 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)

bsearch41.0ms (0.5%)

Memory
-10.2MiB live, 28.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-6.971699942976494e-70
-5.815208785083529e-74
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 (36.7% of total)
ival-mult: 3.0ms (36.7% of total)
ival-sub: 1.0ms (12.2% 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)

simplify52.0ms (0.7%)

Memory
27.3MiB live, 66.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056228
180216
2151216
3450210
41680204
54753204
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 b a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 (neg.f64 a) b)))
(if (<=.f64 a #s(literal -13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 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 a b) a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -8081502591659033/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 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 a 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))))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 b a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 (neg.f64 a) b)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (-.f64 (neg.f64 b) a) (*.f64 a b)))
(if (<=.f64 a #s(literal -13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 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 a b) a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -8081502591659033/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 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 a 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))))

soundness1.1s (14.3%)

Memory
1.5MiB live, 719.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911138
17681118
222931080
363931080
082151013
046244
070240
1304216
22845216
08101216
052279
085295
1384263
23952263
08128263
048267
070253
1307253
22511253
08458253
01553
02649
112449
2112749
0924249
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 806 to 438 computations (45.7% saved)

preprocess41.0ms (0.6%)

Memory
-5.0MiB live, 107.8MiB allocated
Remove

(sort a b)

Compiler

Compiled 542 to 178 computations (67.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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