NMSE Section 6.1 mentioned, B

Time bar (total: 8.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze138.0ms (1.7%)

Memory
1.5MiB live, 116.5MiB 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)

sample1.5s (18.2%)

Memory
-144.5MiB live, 1 518.7MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 604.0ms
ival-div: 241.0ms (39.9% of total)
ival-mult: 224.0ms (37.1% of total)
ival-sub: 88.0ms (14.6% of total)
ival-pi: 32.0ms (5.3% of total)
exact: 9.0ms (1.5% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain233.0ms (2.9%)

Memory
-18.9MiB live, 276.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-2(3.24919203422839e-103 2.5660966513087417e+161)(*.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)))
200-0-(-.f64 (*.f64 b b) (*.f64 a a))
22(1.5902695183561038e+161 -1.369928468288484e+148)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*u330
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue200
(*.f64 b b)overflow60
(*.f64 a a)overflow70
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o40
(*.f64 b b)overflow60
(*.f64 a a)overflow70
(-.f64 (*.f64 b b) (*.f64 a a))overflow110
Confusion
Predicted +Predicted -
+559
-2190
Precision
0.9649122807017544
Recall
0.859375
Confusion?
Predicted +Predicted MaybePredicted -
+5509
-20190
Precision?
0.9649122807017544
Recall?
0.859375
Freqs
test
numberfreq
0199
157
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
108.0ms512×0valid
Compiler

Compiled 256 to 64 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-sub: 25.0ms (46.8% of total)
ival-div: 14.0ms (26.2% of total)
ival-mult: 11.0ms (20.6% of total)
ival-pi: 2.0ms (3.7% of total)
exact: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess154.0ms (1.9%)

Memory
5.3MiB live, 195.6MiB 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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.3%
(*.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)

simplify183.0ms (2.3%)

Memory
11.4MiB live, 165.6MiB 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)

localize57.0ms (0.7%)

Memory
16.5MiB live, 95.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.19140625
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy0.2947396744490203
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy4.390608486641647
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy7.818662447051713
(*.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
47.0ms256×0valid
Compiler

Compiled 156 to 32 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 19.0ms (54.8% of total)
ival-mult: 12.0ms (34.6% of total)
ival-sub: 2.0ms (5.8% of total)
ival-pi: 1.0ms (2.9% 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
-6.1MiB live, 29.6MiB 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
5.0ms
a
@0
((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
b
@inf
((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
a
@inf
((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
b
@0
((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
1.0ms
a
@-inf
((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))

simplify173.0ms (2.1%)

Memory
-7.4MiB live, 164.2MiB 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))

rewrite225.0ms (2.8%)

Memory
0.6MiB live, 274.8MiB 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)))
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(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))
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(+.f64 (*.f64 b (+.f64 a b)) (*.f64 (neg.f64 a) (+.f64 a b)))
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(+.f64 (*.f64 (-.f64 b a) b) (*.f64 (-.f64 b a) a))
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(+.f64 (*.f64 (neg.f64 a) a) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
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(*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 a a (*.f64 b b)))
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(*.f64 (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) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (fma.f64 a a (*.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 (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)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (pow.f64 (+.f64 a b) #s(literal -1 binary64))))
(/.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)))
(+.f64 (*.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))))
(+.f64 (*.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 (*.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))))
(+.f64 (*.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))))
(+.f64 (*.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))))
(+.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)))))

eval87.0ms (1.1%)

Memory
-2.6MiB live, 110.9MiB allocated
Compiler

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

prune22.0ms (0.3%)

Memory
20.1MiB live, 58.2MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New61318631
Fresh000
Picked101
Done000
Total61418632
Accuracy
99.9%
Counts
632 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.0%
(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)))
88.7%
(fma.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))))
46.5%
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 a b) (*.f64 a b)))
87.4%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
87.7%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
82.3%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
83.1%
(/.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))
73.9%
(/.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))
82.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
87.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))))))
85.8%
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
85.9%
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
46.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64)))
76.3%
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (/.f64 (-.f64 b a) a) b)))
48.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
51.8%
#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)))
57.2%
#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)))
54.6%
#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 892 to 596 computations (33.2% saved)

simplify129.0ms (1.6%)

Memory
-37.0MiB live, 125.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 a b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
cost-diff1408
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
cost-diff0
(+.f64 a b)
cost-diff0
(*.f64 (+.f64 a b) (-.f64 b a))
cost-diff0
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
cost-diff1024
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.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-diff1984
(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: 4 (0.0ms)

IterNodesCost
051380
083382
1174374
2567361
32852337
46180331
08586331
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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
a
b
(-.f64 b a)
(*.f64 a b)
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
#s(literal 1/2 binary64)
(+.f64 a b)
a
b
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
(/.f64 (*.f64 a b) (-.f64 b a))
(*.f64 a b)
Outputs
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 a b)) (+.f64 b a)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (PI.f64) (+.f64 a b))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 a b)
(+.f64 b a)
a
b
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)
(pow.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
(*.f64 (/.f64 #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 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b) a) (PI.f64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) b) a) (PI.f64)) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (*.f64 (*.f64 (+.f64 b a) b) a) (-.f64 b a))
(*.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 a b)
(*.f64 b a)
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) (-.f64 b a))
(*.f64 (-.f64 b a) (PI.f64))
(PI.f64)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b) a) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
#s(literal 1/2 binary64)
(+.f64 a b)
(+.f64 b a)
a
b
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
(/.f64 (*.f64 a b) (-.f64 b a))
(*.f64 (/.f64 a (-.f64 b a)) b)
(*.f64 a b)
(*.f64 b a)

localize123.0ms (1.5%)

Memory
37.4MiB live, 152.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1953125
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
accuracy0.20703125
(/.f64 (PI.f64) (-.f64 b a))
accuracy7.781221187283272
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
accuracy14.194042502755789
(/.f64 (*.f64 a b) (-.f64 b a))
accuracy0.25390625
(*.f64 (PI.f64) (-.f64 b a))
accuracy0.6714718388294759
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
accuracy1.254299830813001
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
accuracy9.697543246883136
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
accuracy0.02734375
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy0.37337875976844204
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
accuracy2.6755337429140273
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
accuracy30.611887585321846
#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)))
accuracy0.0078125
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
accuracy0.49366229550678675
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
accuracy6.475752749962393
(*.f64 (*.f64 a a) b)
accuracy26.614613903819876
#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)))
accuracy0.20703125
(/.f64 (PI.f64) (-.f64 b a))
accuracy0.285820019536884
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
accuracy2.6397137233771435
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
accuracy2.7421771791510294
(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)))
Samples
88.0ms256×0valid
Compiler

Compiled 739 to 102 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-div: 24.0ms (39.4% of total)
ival-mult: 22.0ms (36.1% of total)
ival-pow: 5.0ms (8.2% of total)
ival-add: 3.0ms (4.9% of total)
ival-sub: 3.0ms (4.9% of total)
ival-pi: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series68.0ms (0.8%)

Memory
-21.2MiB live, 88.5MiB allocated
Counts
24 → 229
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 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
(/.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
(*.f64 (PI.f64) (-.f64 b a))
(/.f64 (*.f64 a b) (-.f64 b a))
Outputs
(/ 1/2 (* a b))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6)))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a)
(* -1/2 (/ (PI) (pow b 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)
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* 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)))
(pow b 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
b
(+ a b)
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (/ (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))
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
a
(* a (+ 1 (/ a b)))
(* a (+ 1 (* a (+ (/ 1 b) (/ a (pow b 2))))))
(* a (+ 1 (* a (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b)))))
(/ -1/2 (pow a 2))
(/ (- (* -1/2 (/ b a)) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (* -1/2 (/ (pow b 2) (pow a 2)))) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/2 (/ (pow b 3) (pow a 3))))) 1/2) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3))))))))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) 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 (/ 1 b)) (* 1/2 (/ 1 a)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* -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)))))
(* -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 (+ 1 (/ b a)))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
(* -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 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* -1 b)
(+ (* -1 b) (* -1 (/ (pow b 2) a)))
(- (+ (* -1 b) (* -1 (/ (pow b 3) (pow a 2)))) (/ (pow b 2) a))
(- (+ (* -1 b) (* -1 (/ (pow b 4) (pow a 3)))) (+ (/ (pow b 2) a) (/ (pow b 3) (pow a 2))))
(/ (- (* -1 (/ (+ (* 1/2 b) (* 1/2 (/ (pow b 2) a))) a)) 1/2) (pow a 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (* (PI) (+ 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))
(* -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)))))
(* (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)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (+ (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 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) a) (pow b 2)) a)))
(+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3))) a)) (pow b 2)) a)))
(- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (+ (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (* b (+ (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (* 1/2 (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))))))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) 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)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* -1 (/ (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)))))
(* b (- (* -1 (/ b a)) 1))
(* b (- (* b (- (* -1 (/ b (pow a 2))) (/ 1 a))) 1))
(* b (- (* b (- (* b (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))) 1))
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) b)
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) b)
(/ (- (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (* -1/2 (/ a (pow b 2)))) b)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a)))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 3))))))))) (pow b 2))
(/ (+ (* -1/2 (PI)) (* 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) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (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))))
(* (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)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))
(/ (+ 1/2 (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(/ (+ (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))))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(+ a (/ (pow a 2) b))
(- (+ a (/ (pow a 3) (pow b 2))) (* -1 (/ (pow a 2) b)))
(- (+ a (/ (pow a 4) (pow b 3))) (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow a 3) (pow b 2)))))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) b))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ 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))
(* -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)))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(* -1 (* b (- (* -1 (/ a b)) 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 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)))
(+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b)))
Calls

6 calls:

TimeVariablePointExpression
12.0ms
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)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a)))
12.0ms
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)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a)))
9.0ms
b
@0
((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (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)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a)))
8.0ms
a
@inf
((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (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)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a)))
6.0ms
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)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a)))

simplify204.0ms (2.5%)

Memory
36.7MiB live, 240.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011605555
136894742
090494474
Stop Event
iter limit
node limit
Counts
229 → 227
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)
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* 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)))
(pow b 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
b
(+ a b)
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (/ (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))
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
a
(* a (+ 1 (/ a b)))
(* a (+ 1 (* a (+ (/ 1 b) (/ a (pow b 2))))))
(* a (+ 1 (* a (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b)))))
(/ -1/2 (pow a 2))
(/ (- (* -1/2 (/ b a)) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (* -1/2 (/ (pow b 2) (pow a 2)))) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/2 (/ (pow b 3) (pow a 3))))) 1/2) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3))))))))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2))
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(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)))
(+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b)))
Outputs
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1/2 binary64))) a)) a)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6)))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) #s(literal -1/2 binary64))) a (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64)) (pow.f64 b #s(literal 5 binary64))))) a)) a)) a)
(* -1/2 (/ (PI) (pow b 3)))
(*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))))
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal 0 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))) a))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))) (*.f64 b b)) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))))) a (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))))) a (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(fma.f64 (/.f64 (neg.f64 a) b) (/.f64 (PI.f64) b) (/.f64 (PI.f64) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (PI) (* (pow a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(* -1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) a)
(* 2 (/ (* a (pow b 2)) (PI)))
(*.f64 (/.f64 (*.f64 (*.f64 b b) a) (PI.f64)) #s(literal 2 binary64))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 b (PI.f64)) (/.f64 (*.f64 b b) (PI.f64)))) a)
(* a (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) a)
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) a #s(literal 0 binary64))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(*.f64 (fma.f64 (*.f64 (neg.f64 b) a) a (pow.f64 b #s(literal 3 binary64))) a)
(pow b 2)
(*.f64 b b)
(+ (* a (+ b (* -1 b))) (pow b 2))
(*.f64 b b)
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 a)) a (*.f64 b b))
b
(+ a b)
(+.f64 a b)
(* 1/2 (/ (PI) (pow b 2)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) a (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) a (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) b))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b))
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(fma.f64 (fma.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(fma.f64 (fma.f64 (fma.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* -1/2 (/ (PI) (pow a 3)))
(*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 a #s(literal 3 binary64)))
(* b (PI))
(*.f64 (PI.f64) b)
(+ (* -1 (* a (PI))) (* b (PI)))
(*.f64 (PI.f64) (-.f64 b a))
a
(* a (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) a a)
(* a (+ 1 (* a (+ (/ 1 b) (/ a (pow b 2))))))
(*.f64 (fma.f64 (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) a #s(literal 1 binary64)) a)
(* a (+ 1 (* a (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b)))))
(fma.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal 1 binary64) b)) a) a a)
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ (- (* -1/2 (/ b a)) 1/2) (pow a 2))
(/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 a a))
(/ (- (+ (* -1/2 (/ b a)) (* -1/2 (/ (pow b 2) (pow a 2)))) 1/2) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 b a)) #s(literal -1/2 binary64)) (*.f64 a a))
(/ (- (+ (* -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))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 b a)) #s(literal -1/2 binary64)) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (*.f64 a b)) (/.f64 (PI.f64) b)))) (*.f64 a a))
(/ (+ (* -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))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (*.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (PI.f64) a))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 0 binary64) b) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 0 binary64) b) b)) (*.f64 a a))) (/.f64 (PI.f64) b)))) (*.f64 a a))
(/ (+ (* -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))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (PI.f64) a) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 0 binary64) b) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 0 binary64) b) b)) (*.f64 a a))) (/.f64 (PI.f64) b)) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (+.f64 (/.f64 #s(literal 0 binary64) b) b) (*.f64 (PI.f64) b))) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64))))) (*.f64 a a))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2))
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rewrite246.0ms (3.1%)

Memory
-47.5MiB live, 374.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051287
083301
1376231
23796231
08288231
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 430
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 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
(/.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
(*.f64 (PI.f64) (-.f64 b a))
(/.f64 (*.f64 a b) (-.f64 b a))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(*.f64 #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 b (-.f64 b a)) a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 b (-.f64 b a)) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 b (-.f64 b a)) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) b) a) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 b (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 b (-.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) #s(literal -1 binary64)) (pow.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (-.f64 b a)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)) (*.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)) (*.f64 a b)) #s(literal -1 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (*.f64 (neg.f64 a) b)) (neg.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)))
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 b a) b) a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 b a))
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 b a) b) a)) (*.f64 (PI.f64) (-.f64 b a))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 b a) b) a)) #s(literal 1/2 binary64)) (*.f64 (PI.f64) (-.f64 b a)))
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) (/.f64 (-.f64 b a) b))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 b a) b) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) b))
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 b (-.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 b (-.f64 b a))))
(*.f64 (*.f64 (pow.f64 (/.f64 b (-.f64 b a)) #s(literal -1 binary64)) (/.f64 (PI.f64) a)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))))
(*.f64 (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (pow.f64 (/.f64 (*.f64 (/.f64 a (-.f64 b a)) (/.f64 b (PI.f64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (*.f64 (pow.f64 (/.f64 b (-.f64 b a)) #s(literal -1 binary64)) (/.f64 (PI.f64) a)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 b a) b) a)))
(*.f64 (*.f64 (pow.f64 (/.f64 a (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 b a) b) a)) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (-.f64 b a))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 b a) b) a)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 b a) b) a)) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)) (-.f64 b a))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) b) a)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b))) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 a b) (*.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 b (-.f64 b a)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 b a) (*.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 b (-.f64 b a)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #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 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) #s(literal -1 binary64)))
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(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 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)) b (*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)) (neg.f64 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 (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (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)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.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 b (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)) (*.f64 (neg.f64 a) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a))))
(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 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)) (*.f64 a b))) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)) (*.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) (/.f64 b (-.f64 b a)))) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (*.f64 (neg.f64 a) (/.f64 b (-.f64 b a)))))
(-.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) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))) #s(literal -1 binary64)))
(+.f64 (*.f64 b (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a))) (*.f64 (neg.f64 a) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a))))
(+.f64 (*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)) b) (*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)) (neg.f64 a)))
(+.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 (-.f64 b a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (-.f64 b a) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 b a)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (-.f64 b a)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 b a)))
(*.f64 (PI.f64) (-.f64 b a))
(*.f64 (-.f64 b a) (PI.f64))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (PI.f64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (PI.f64)) (+.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 (+.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(fma.f64 (PI.f64) b (*.f64 (PI.f64) (neg.f64 a)))
(fma.f64 b (PI.f64) (*.f64 (neg.f64 a) (PI.f64)))
(+.f64 (*.f64 b (PI.f64)) (*.f64 (neg.f64 a) (PI.f64)))
(+.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) (neg.f64 a)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 a) b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 a b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (/.f64 b (-.f64 b a)) a)
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 a b))
(*.f64 (*.f64 (neg.f64 a) b) (pow.f64 (neg.f64 (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (*.f64 a b) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (-.f64 b a)) a))
(*.f64 a (/.f64 b (-.f64 b a)))
(*.f64 b (*.f64 a (pow.f64 (-.f64 b a) #s(literal -1 binary64))))
(*.f64 b (/.f64 a (-.f64 b a)))
(pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b (-.f64 b a)) a) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 a b) #s(literal 1 binary64)) (-.f64 b a))
(/.f64 (neg.f64 (*.f64 (neg.f64 a) b)) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (*.f64 (neg.f64 a) b) (neg.f64 (-.f64 b a)))
(/.f64 (*.f64 a b) (-.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b a) a) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 b a) a) b)))
(neg.f64 (*.f64 (neg.f64 a) (/.f64 b (-.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 b a))) (*.f64 (neg.f64 a) (/.f64 b (-.f64 b a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal -1 binary64)))

eval646.0ms (8%)

Memory
5.2MiB live, 398.3MiB allocated
Compiler

Compiled 55 415 to 5 807 computations (89.5% saved)

prune69.0ms (0.9%)

Memory
17.5MiB live, 96.3MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1 679121 691
Fresh11213
Picked415
Done000
Total1 694151 709
Accuracy
100.0%
Counts
1 709 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.3%
(/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) b)
82.3%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
78.5%
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 b #s(literal 2 binary64))))
99.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
57.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (*.f64 (/.f64 (*.f64 (*.f64 b b) a) (PI.f64)) #s(literal 2 binary64))))
92.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 b (PI.f64)) (/.f64 (*.f64 a a) (PI.f64)))) b)))
85.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) b))
57.2%
#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)))
51.8%
#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)))
54.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
58.3%
#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)))
54.6%
#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)))
58.5%
#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))))
54.6%
#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 787 to 540 computations (31.4% saved)

simplify264.0ms (3.3%)

Memory
-2.7MiB live, 121.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
044282
067274
1146268
2384268
31243265
43338262
55525262
08139262
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
(*.f64 a b)
a
b
#s(literal 1 binary64)
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
#s(literal 1/2 binary64)
(*.f64 a b)
b
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 a b)
a
b
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(PI.f64)
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(*.f64 b b)
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) b) (PI.f64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))
(/.f64 (PI.f64) (*.f64 b a))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 b a))
(PI.f64)
(*.f64 a b)
(*.f64 b a)
a
b
#s(literal 1 binary64)
(+.f64 a b)
(+.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) 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 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
#s(literal 1/2 binary64)
(*.f64 a b)
(*.f64 b a)
b
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) b) (PI.f64))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) b) (/.f64 a (PI.f64)))
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 a (PI.f64)) #s(literal 2 binary64)) b)
(*.f64 a b)
(*.f64 b a)
a
b
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(+.f64 a b)
(+.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64))
(PI.f64)
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(*.f64 b b)

localize313.0ms (3.9%)

Memory
-17.4MiB live, 141.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
accuracy0.37337875976844204
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
accuracy5.431315130074392
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
accuracy25.392516497113867
#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)))
accuracy0.0
(PI.f64)
accuracy0.13671875
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))
accuracy0.23828125
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy0.6714718388294759
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
accuracy0.19435502930532603
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
accuracy0.2265625
(/.f64 (PI.f64) a)
accuracy0.5806217118744395
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
accuracy26.614613903819876
#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))))
accuracy0.178066259768442
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
accuracy0.44169748199529496
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
accuracy6.475752749962393
(*.f64 (*.f64 a a) b)
accuracy26.614613903819876
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
accuracy0.0
(PI.f64)
accuracy0.00390625
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
accuracy0.12890625
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
accuracy0.6286802753859418
(/.f64 (PI.f64) (*.f64 a b))
Samples
269.0ms256×0valid
Compiler

Compiled 532 to 85 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 223.0ms
ival-mult: 187.0ms (83.9% of total)
ival-div: 20.0ms (9% of total)
ival-add: 12.0ms (5.4% of total)
ival-sub: 2.0ms (0.9% of total)
ival-pi: 1.0ms (0.4% of total)
exact: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series59.0ms (0.7%)

Memory
-2.5MiB live, 34.7MiB allocated
Counts
22 → 45
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(/.f64 (PI.f64) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 a b)
(*.f64 (PI.f64) #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) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
(*.f64 (*.f64 a a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
Outputs
(/ (PI) (* a b))
(* 1/2 (/ (PI) (* a b)))
(* 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 a 2) b)))
(/ 1/2 (* (pow a 2) b))
(/ (PI) a)
(* 2 (/ (* a b) (PI)))
(* a b)
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ a b))) a)
(* (pow a 2) b)
(/ 1/2 (* a b))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(/ (+ (* -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) b)) (* 1/2 (/ (PI) a)))
(/ -1/2 b)
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 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)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (- (* 1/2 (/ b a)) 1/2) b)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(/ (+ (* -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
37.0ms
b
@-inf
((* (/ (PI) (* a b)) 1) (* 1/2 (* (/ (PI) (* a b)) 1)) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (* (/ (PI) a) (/ 1/2 (* a b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (/ (* a b) (* (PI) 1/2)) (* a b) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (+ (/ 1/2 a) (/ -1/2 b)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (/ 1/2 (* a b)) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b b)))
4.0ms
a
@-inf
((* (/ (PI) (* a b)) 1) (* 1/2 (* (/ (PI) (* a b)) 1)) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (* (/ (PI) a) (/ 1/2 (* a b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (/ (* a b) (* (PI) 1/2)) (* a b) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (+ (/ 1/2 a) (/ -1/2 b)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (/ 1/2 (* a b)) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b b)))
4.0ms
a
@0
((* (/ (PI) (* a b)) 1) (* 1/2 (* (/ (PI) (* a b)) 1)) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (* (/ (PI) a) (/ 1/2 (* a b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (/ (* a b) (* (PI) 1/2)) (* a b) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (+ (/ 1/2 a) (/ -1/2 b)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (/ 1/2 (* a b)) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b b)))
4.0ms
b
@0
((* (/ (PI) (* a b)) 1) (* 1/2 (* (/ (PI) (* a b)) 1)) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (* (/ (PI) a) (/ 1/2 (* a b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (/ (* a b) (* (PI) 1/2)) (* a b) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (+ (/ 1/2 a) (/ -1/2 b)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (/ 1/2 (* a b)) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b b)))
4.0ms
b
@inf
((* (/ (PI) (* a b)) 1) (* 1/2 (* (/ (PI) (* a b)) 1)) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (* (/ (PI) a) (/ 1/2 (* a b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (/ (* a b) (* (PI) 1/2)) (* a b) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (+ (/ 1/2 a) (/ -1/2 b)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (/ 1/2 (* a b)) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b b)))

simplify253.0ms (3.1%)

Memory
29.9MiB live, 179.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197693
1505685
21344651
33114609
45755607
08347572
Stop Event
iter limit
node limit
Counts
45 → 45
Calls
Call 1
Inputs
(/ (PI) (* a b))
(* 1/2 (/ (PI) (* a b)))
(* 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 a 2) b)))
(/ 1/2 (* (pow a 2) b))
(/ (PI) a)
(* 2 (/ (* a b) (PI)))
(* a b)
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ a b))) a)
(* (pow a 2) b)
(/ 1/2 (* a b))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(/ (+ (* -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) b)) (* 1/2 (/ (PI) a)))
(/ -1/2 b)
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 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)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (- (* 1/2 (/ b a)) 1/2) b)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(/ (+ (* -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
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 b a))
(* 1/2 (/ (PI) (* a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #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 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 (PI.f64) a) (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)
(/ (+ (* 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 (*.f64 a a) (*.f64 (PI.f64) (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) a) #s(literal 1/2 binary64))
(/ 1/2 (* (pow a 2) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(* 2 (/ (* a b) (PI)))
(*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64))
(* a b)
(*.f64 b a)
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ (+ 1/2 (* -1/2 (/ a b))) a)
(/.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) a)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 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 (*.f64 (/.f64 a (PI.f64)) (+.f64 b a)) b) #s(literal 2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (/.f64 b a) a) (*.f64 (PI.f64) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))) (*.f64 a a))
(* -1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(/ -1/2 b)
(/.f64 #s(literal -1/2 binary64) b)
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(* 2 (/ (* (pow a 2) b) (PI)))
(*.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(*.f64 (*.f64 (*.f64 (/.f64 a (PI.f64)) #s(literal 2 binary64)) (fma.f64 (/.f64 b a) b b)) 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 (/ (PI) (* a (pow b 2)))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -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 (*.f64 b (*.f64 (PI.f64) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b #s(literal 1/2 binary64)))) a)) a)) (*.f64 a a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b 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 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (PI.f64) (*.f64 (*.f64 (PI.f64) b) (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 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 (*.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 b (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))))) b) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) b)
(/ (- (* 1/2 (/ b a)) 1/2) b)
(-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(*.f64 (*.f64 (*.f64 (/.f64 a (PI.f64)) (+.f64 b a)) b) #s(literal 2 binary64))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) a #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (-.f64 (*.f64 (/.f64 a b) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(*.f64 (*.f64 (*.f64 (/.f64 a (PI.f64)) (+.f64 b a)) b) #s(literal 2 binary64))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) a #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -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 (/.f64 a b) (*.f64 (PI.f64) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) b)) (*.f64 b b))

rewrite233.0ms (2.9%)

Memory
-18.3MiB live, 308.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044236
067226
1302222
22675222
08796222
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 115
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(/.f64 (PI.f64) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 a b)
(*.f64 (PI.f64) #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) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
(*.f64 (*.f64 a a) b)
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
Outputs
(*.f64 (pow.f64 (/.f64 b (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) b) (/.f64 (cbrt.f64 (PI.f64)) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) a) (/.f64 (cbrt.f64 (PI.f64)) b))
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (PI.f64))
(*.f64 (/.f64 (PI.f64) b) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (neg.f64 (PI.f64)) (pow.f64 (*.f64 (neg.f64 a) b) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b a)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b a)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))))
(*.f64 (/.f64 (PI.f64) a) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 (PI.f64) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 b a)))
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(/.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 b a)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (*.f64 b a))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 (neg.f64 b) b))) (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (-.f64 a b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 b a))) (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a)))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 (neg.f64 b) b)) (*.f64 b (/.f64 a (PI.f64)))) (*.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 a a (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 a) b)) (*.f64 (-.f64 a b) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 (neg.f64 b) b)) #s(literal 1 binary64)) (*.f64 (-.f64 a b) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 (neg.f64 b) b)) (*.f64 b a)) (*.f64 (-.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 b (/.f64 a (PI.f64)))) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 a) b)) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 b a)) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) (fma.f64 a a (*.f64 (neg.f64 b) b))) (*.f64 #s(literal 1/2 binary64) (-.f64 a b)))
(/.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (*.f64 (*.f64 (neg.f64 a) b) (fma.f64 a a (*.f64 (neg.f64 b) b))) (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 a b)))
(/.f64 (*.f64 (*.f64 (neg.f64 a) b) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 (neg.f64 b) b))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (-.f64 a b)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (*.f64 (*.f64 b a) (fma.f64 a a (*.f64 (neg.f64 b) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 a b)))
(/.f64 (*.f64 (*.f64 b a) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (fma.f64 a a (*.f64 (neg.f64 b) b)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (-.f64 a b)))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))))
(/.f64 (*.f64 (*.f64 (+.f64 b a) a) (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 1 binary64))
(/.f64 (+.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 b a))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(fma.f64 (*.f64 a (/.f64 a (PI.f64))) (*.f64 b #s(literal 2 binary64)) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 (*.f64 b (*.f64 b a)) (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 (*.f64 b (/.f64 a (PI.f64))) (*.f64 b #s(literal 2 binary64)) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 (/.f64 a (PI.f64)) (*.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 (/.f64 a (PI.f64)) (*.f64 (*.f64 b #s(literal 2 binary64)) b) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64))) b (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64))) a (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 (*.f64 (*.f64 a a) b) (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 (*.f64 a a) (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 (*.f64 b a) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 (*.f64 b a) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) b) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 (*.f64 b a) (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 b (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64))) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 a (*.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) b) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(fma.f64 a (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 b a) a) (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal -1 binary64))))
(+.f64 (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(+.f64 (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal -2 binary64))) (PI.f64))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b))
(*.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal -2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal -2 binary64)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (pow.f64 b #s(literal -2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (*.f64 b b)))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (PI.f64) (pow.f64 b #s(literal -2 binary64))))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64))))
(*.f64 (PI.f64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal -2 binary64))))
(pow.f64 (/.f64 b (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) #s(literal 1 binary64))) (*.f64 (neg.f64 b) b))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b)))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 b) b))))
(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b)
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))) (neg.f64 (*.f64 (neg.f64 b) b)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b)) b)
(/.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 (neg.f64 b) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)))
(neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (neg.f64 b) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))) #s(literal -1 binary64)))

eval177.0ms (2.2%)

Memory
7.1MiB live, 311.7MiB allocated
Compiler

Compiled 32 682 to 4 185 computations (87.2% saved)

prune41.0ms (0.5%)

Memory
4.1MiB live, 102.2MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 096141 110
Fresh819
Picked415
Done011
Total1 108171 125
Accuracy
100.0%
Counts
1 125 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b))
99.7%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
98.9%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a (PI.f64)) (*.f64 b #s(literal 2 binary64))) (+.f64 a b)))
57.1%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
91.4%
(*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64))
99.7%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
57.2%
#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)))
58.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 a (PI.f64)) b)))
54.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b))
57.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)))
58.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)))
57.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)))
65.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)))
54.6%
#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)))
58.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
54.6%
#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 798 to 580 computations (27.3% saved)

simplify121.0ms (1.5%)

Memory
1.3MiB live, 158.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
045255
067255
1142251
2379251
31060249
43109247
55376247
08502247
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
b
a
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)))
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))
(PI.f64)
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(*.f64 b a)
b
a
#s(literal 2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) b)
(/.f64 (PI.f64) (*.f64 b a))
(PI.f64)
(*.f64 b a)
b
a
#s(literal 1/2 binary64)
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 (PI.f64) (*.f64 b a))
(PI.f64)
(*.f64 b a)
b
a
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
#s(literal 1/2 binary64)
(+.f64 b a)
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
#s(literal 1 binary64)
#s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)
(*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64))
(/.f64 (*.f64 b b) (PI.f64))
(*.f64 b b)
b
(PI.f64)
#s(literal 2 binary64)
a
Outputs
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b) a) (PI.f64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
b
a
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a)))
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a))
(PI.f64)
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a)
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 b a)
(*.f64 a b)
b
a
#s(literal 2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) b) #s(literal 1/2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) b)
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) b)
(/.f64 (PI.f64) (*.f64 b a))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
(*.f64 b a)
(*.f64 a b)
b
a
#s(literal 1/2 binary64)
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b) a) (PI.f64))
(/.f64 (PI.f64) (*.f64 b a))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
(*.f64 b a)
(*.f64 a b)
b
a
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
#s(literal 1/2 binary64)
(+.f64 b a)
(+.f64 a b)
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) b)))
#s(literal 1 binary64)
#s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))
#s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) b))
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)
(*.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) b)
(*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) (PI.f64)) b)
(/.f64 (*.f64 b b) (PI.f64))
(*.f64 b b)
b
(PI.f64)
#s(literal 2 binary64)
a

localize118.0ms (1.5%)

Memory
-11.3MiB live, 186.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16015625
(/.f64 (*.f64 b b) (PI.f64))
accuracy0.6714718388294759
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
accuracy7.474036975827375
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)
accuracy19.355141968499787
#s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))
accuracy0.0
(PI.f64)
accuracy0.02734375
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
accuracy0.15234375
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
accuracy0.6286802753859418
(/.f64 (PI.f64) (*.f64 b a))
accuracy0.0
(PI.f64)
accuracy0.1171875
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) b)
accuracy0.6286802753859418
(/.f64 (PI.f64) (*.f64 b a))
accuracy21.95175576956194
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)))
accuracy0.0078125
(*.f64 (*.f64 b a) #s(literal 2 binary64))
accuracy0.125
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)
accuracy0.4858497955067873
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))
accuracy26.614613903819876
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)))
accuracy0.0
(PI.f64)
accuracy0.12890625
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b))
accuracy0.21484375
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
accuracy0.23828125
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
Samples
72.0ms256×0valid
Compiler

Compiled 472 to 89 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 25.0ms (46.3% of total)
ival-div: 22.0ms (40.7% of total)
ival-sub: 2.0ms (3.7% of total)
ival-add: 2.0ms (3.7% of total)
ival-pi: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory
8.1MiB live, 46.2MiB allocated
Counts
20 → 52
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)))
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) b)
(/.f64 (PI.f64) (*.f64 b a))
(*.f64 b a)
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
#s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
Outputs
(* 1/2 (/ (PI) (* a b)))
(* 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 a 2) b)))
(* 2 (* (pow a 2) b))
(/ (PI) (* a (pow b 2)))
(/ (PI) (* a b))
(* a b)
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* 2 (* a 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 a)
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(/ (+ (* -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 (/ (- (* 1/2 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(* 1/2 (/ (PI) b))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(/ (pow b 2) (PI))
(/ (+ (* -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 (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(/ (+ (* -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 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
Calls

6 calls:

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

simplify187.0ms (2.3%)

Memory
0.9MiB live, 189.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0301932
1839910
22279854
35966844
08279782
Stop Event
iter limit
node limit
Counts
52 → 52
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a b)))
(* 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 a 2) b)))
(* 2 (* (pow a 2) b))
(/ (PI) (* a (pow b 2)))
(/ (PI) (* a b))
(* a b)
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* 2 (* a 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 a)
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(/ (+ (* -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 (/ (- (* 1/2 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(* 1/2 (/ (PI) b))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(/ (pow b 2) (PI))
(/ (+ (* -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 (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(/ (+ (* -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 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
Outputs
(* 1/2 (/ (PI) (* a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) b) #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 a 2) b)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a) #s(literal 1/2 binary64))
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64))
(/ (PI) (* a (pow b 2)))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) b)
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(* a b)
(*.f64 a b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(/.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) b)
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(/.f64 (fma.f64 (/.f64 a b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) b)
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(fma.f64 (fma.f64 (fma.f64 (/.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))
(* 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) b) (*.f64 (/.f64 a (PI.f64)) (+.f64 b a)))
(* 2 (* a b))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) a) a)
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 b (/.f64 b (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (*.f64 a a))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/.f64 (fma.f64 (/.f64 b a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (/.f64 b a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) a)
(* 2 (/ (* (pow a 2) b) (PI)))
(*.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b (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 b a) (PI.f64)) #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 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 b a) (PI.f64)) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)) a)) (*.f64 a a))
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))
(/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) a)
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(/.f64 (fma.f64 (/.f64 b a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) a)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (/.f64 b a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) a)
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) 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 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) a)
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/.f64 (fma.f64 (/.f64 b a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) a)
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) b (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) b (/.f64 #s(literal 1/2 binary64) a))
(* 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)))
(/ (pow b 2) (PI))
(/.f64 (*.f64 b b) (PI.f64))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) b) b)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)))) (*.f64 b b))
(/ (+ 1/2 (* -1/2 (/ a b))) b)
(/.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/.f64 (fma.f64 (/.f64 a b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(/.f64 (fma.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (/.f64 a b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) b)
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a (PI.f64))) (*.f64 b b)) #s(literal 2 binary64))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b) (*.f64 #s(literal -1/2 binary64) (PI.f64))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 a b) (PI.f64)) a) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) b)) b)) (*.f64 b b))
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(/.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) b)
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(/.f64 (fma.f64 (/.f64 a b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(/.f64 (fma.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (/.f64 a b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) b)

rewrite241.0ms (3%)

Memory
27.2MiB live, 191.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045208
067204
1307192
22625192
08414192
Stop Event
iter limit
node limit
iter limit
Counts
20 → 839
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)))
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) b)
(/.f64 (PI.f64) (*.f64 b a))
(*.f64 b a)
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
#s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))
(/.f64 (*.f64 b b) (PI.f64))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
Outputs
(*.f64 (pow.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (neg.f64 (PI.f64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 (/.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (PI.f64) b))
(*.f64 (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 a (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (PI.f64)) #s(literal -1 binary64)) (pow.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 a b)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a b)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) b) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) a)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 (PI.f64) b) (pow.f64 (/.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (*.f64 a (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)))
(*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (PI.f64) (*.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (pow.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a b)))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal -1 binary64)))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a) #s(literal -1 binary64))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 b) (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b)
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a) #s(literal -1 binary64)) b)
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(/.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 (PI.f64) b)) (neg.f64 (*.f64 #s(literal 2 binary64) a)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (*.f64 a b) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 (neg.f64 b) a))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 b) a))
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)
(/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) (neg.f64 a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (neg.f64 b) a))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 b (/.f64 a (PI.f64)))))
(/.f64 (/.f64 (/.f64 (PI.f64) b) (neg.f64 a)) #s(literal -2 binary64))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 a b) #s(literal -2 binary64)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64)) (neg.f64 a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 2 binary64))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64)) (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)))
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a)
(/.f64 (PI.f64) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 a (PI.f64))))
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) a))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a b) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 a b) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)))) (/.f64 (PI.f64) (neg.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) a))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) a)) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) a))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (neg.f64 (PI.f64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))
(pow.f64 (/.f64 (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) b) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b))))
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) b)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (PI.f64) b)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 b #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 b)))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) b))
(/.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 b))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 #s(literal 2 binary64) b)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 b #s(literal 2 binary64))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 b #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)
(/.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64)))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) b))
(/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.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 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
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(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (*.f64 (*.f64 (+.f64 a b) a) b)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 (+.f64 a b)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (*.f64 (+.f64 a b) a) (neg.f64 b)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (*.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (neg.f64 (+.f64 a b)) (*.f64 a b)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (*.f64 (neg.f64 b) a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (*.f64 (neg.f64 b) a) (+.f64 a b)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (*.f64 a b) (neg.f64 (+.f64 a b))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (+.f64 a b) (*.f64 b (/.f64 a (PI.f64))))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) (+.f64 a b))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (+.f64 a b)) (*.f64 b (/.f64 a (PI.f64)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b (/.f64 a (PI.f64))) (neg.f64 (+.f64 a b))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) a) (neg.f64 (neg.f64 (neg.f64 (+.f64 a b)))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) a) (neg.f64 (+.f64 a b)))
(/.f64 (/.f64 (/.f64 (PI.f64) b) (neg.f64 a)) (neg.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (*.f64 a b)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (+.f64 a b) (*.f64 a b)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 (neg.f64 b) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a b) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (PI.f64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 a b) a) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 b (/.f64 a (PI.f64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (PI.f64)))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (+.f64 a b) a) (neg.f64 b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (*.f64 (+.f64 a b) (*.f64 a b)))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (neg.f64 (+.f64 a b)) (*.f64 a b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 a b) (*.f64 (neg.f64 b) a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) (+.f64 a b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 a b) (neg.f64 (+.f64 a b)))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 (+.f64 a b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) (*.f64 a b)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 b (/.f64 a (PI.f64))))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 (+.f64 a b) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (PI.f64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) a) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 b (/.f64 a (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) (+.f64 a b))
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 a b) (neg.f64 a))))
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (*.f64 (+.f64 a b) a))))
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (neg.f64 (+.f64 a b)) a)))
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) a))
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) (*.f64 a b)) #s(literal 2 binary64)))
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))
(/.f64 (PI.f64) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 (+.f64 a b)) (*.f64 b (/.f64 a (PI.f64))))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) (neg.f64 (+.f64 a b)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 b (/.f64 a (PI.f64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 a (PI.f64))) (+.f64 a b)))
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) a) (+.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 a b) (neg.f64 a))) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) (neg.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 a b) a))) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 a b) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (+.f64 a b)) a)) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (+.f64 a b)) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 a b) a) (neg.f64 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) (neg.f64 b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 a b) (*.f64 a b)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 a b) (*.f64 a b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (+.f64 a b)) (*.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (+.f64 a b)) (*.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 a b) (*.f64 (neg.f64 b) a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) (*.f64 (neg.f64 b) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 b) a) (+.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 b) a) (+.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a b) (neg.f64 (+.f64 a b)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (neg.f64 (+.f64 a b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 a b) (*.f64 a b)) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) (*.f64 a b)) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 (neg.f64 b) a))) (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 (neg.f64 b) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 a b))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) a) (+.f64 a b)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (PI.f64)))) #s(literal -1 binary64)))

eval248.0ms (3.1%)

Memory
-24.0MiB live, 250.6MiB allocated
Compiler

Compiled 21 482 to 3 044 computations (85.8% saved)

prune95.0ms (1.2%)

Memory
-10.7MiB live, 118.2MiB allocated
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New9138921
Fresh7310
Picked235
Done022
Total92216938
Accuracy
100.0%
Counts
938 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (+.f64 a b))
95.2%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b))
57.1%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
98.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 b (/.f64 a (PI.f64)))))
99.5%
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
58.6%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(approx (/ 1/2 (+ b a)) (/.f64 #s(literal 1/2 binary64) a)))
98.8%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b))))
57.2%
#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)))
54.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b))
65.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) b))
57.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)))
58.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)))
65.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)))
65.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) #s(literal 1/2 binary64)))
54.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
54.6%
#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 1 646 to 558 computations (66.1% saved)

regimes48.0ms (0.6%)

Memory
-0.9MiB live, 37.3MiB allocated
Counts
53 → 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 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) 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 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(approx (/ 1/2 (+ b a)) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 b (/.f64 a (PI.f64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (+.f64 a b))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (*.f64 (/.f64 (*.f64 (*.f64 b b) a) (PI.f64)) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 a (PI.f64)) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a (PI.f64)) (*.f64 b #s(literal 2 binary64))) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 b #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (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 (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 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) b))
(/.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 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) b)
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (*.f64 a b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 b (PI.f64)) (/.f64 (*.f64 a a) (PI.f64)))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (/.f64 (-.f64 b a) a) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (+.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 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
(*.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 (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)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 a b) (*.f64 a b)))
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64)))
Outputs
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b))
Calls

3 calls:

21.0ms
a
13.0ms
b
12.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes25.0ms (0.3%)

Memory
21.1MiB live, 21.1MiB allocated
Counts
30 → 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 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) 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 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(approx (/ 1/2 (+ b a)) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 b (/.f64 a (PI.f64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (+.f64 a b))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (*.f64 (/.f64 (*.f64 (*.f64 b b) a) (PI.f64)) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 a (PI.f64)) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a (PI.f64)) (*.f64 b #s(literal 2 binary64))) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
Outputs
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (+.f64 a b))
Calls

3 calls:

8.0ms
b
8.0ms
a
7.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes52.0ms (0.6%)

Memory
-11.4MiB live, 26.6MiB 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 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) 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 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(approx (/ 1/2 (+ b a)) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 b (/.f64 a (PI.f64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a))
Outputs
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
Calls

3 calls:

40.0ms
b
6.0ms
a
5.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes15.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
16 → 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 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) 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 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(approx (/ 1/2 (+ b a)) (/.f64 #s(literal 1/2 binary64) a)))
Outputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b))))
Calls

3 calls:

5.0ms
a
5.0ms
b
4.0ms
(*.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
98.8%1a
98.8%1b
98.8%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)

regimes33.0ms (0.4%)

Memory
-39.9MiB live, 11.2MiB allocated
Counts
6 → 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 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)))
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
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:

28.0ms
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
79.5%2a
83.3%2b
63.3%2(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes5.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB 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 (/.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
58.3%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)))
58.3%1a
58.3%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
2 → 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 (/.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 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
Calls

3 calls:

1.0ms
a
1.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
1.0ms
b
Results
AccuracySegmentsBranch
54.6%1b
54.6%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)))
54.6%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0%)

Memory
9.5MiB live, 9.5MiB 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
54.6%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)))
54.6%1b
54.6%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch22.0ms (0.3%)

Memory
-14.2MiB live, 24.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
2.7397100951897612e-123
6.01093311367478e-118
Samples
12.0ms144×0valid
Compiler

Compiled 582 to 434 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (45% of total)
ival-mult: 3.0ms (33.8% of total)
ival-pi: 1.0ms (11.3% of total)
ival-sub: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify64.0ms (0.8%)

Memory
4.4MiB live, 42.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054203
174193
2136193
3427188
41642183
54682183
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (+.f64 a b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b))))
(if (<=.f64 b #s(literal 6814113040271315/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104 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 (/.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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
Outputs
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (+.f64 a b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b))))
(if (<=.f64 b #s(literal 6814113040271315/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104 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 (/.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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))

soundness1.0s (13%)

Memory
21.8MiB live, 452.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045208
067204
1307192
22625192
08414192
051287
083301
1376231
23796231
08288231
01553
02649
112449
2112749
0924249
02911138
17681118
222931080
363931080
082151013
044236
067226
1302222
22675222
08796222
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 558 to 272 computations (51.3% saved)

preprocess89.0ms (1.1%)

Memory
-2.7MiB live, 164.4MiB allocated
Compiler

Compiled 470 to 156 computations (66.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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