NMSE Section 6.1 mentioned, B

Time bar (total: 7.6s)

start0.0ms (0%)

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

analyze93.0ms (1.2%)

Memory
8.9MiB live, 100.8MiB allocated; 9ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.4s (18.9%)

Memory
50.4MiB live, 1 629.3MiB allocated; 479ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 784.0ms
ival-mult: 278.0ms (35.5% of total)
ival-div: 242.0ms (30.9% of total)
ival-pi: 125.0ms (15.9% of total)
ival-sub: 118.0ms (15.1% of total)
exact: 9.0ms (1.1% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain197.0ms (2.6%)

Memory
14.8MiB live, 306.5MiB allocated; 42ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
430-3(-1.1425798573765248e-298 3.469268404986782e+156)(*.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)))
130-0-(-.f64 (*.f64 b b) (*.f64 a a))
41(-3.1396666211951166e+38 2.5712354050139464e+161)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*u400
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue130
(*.f64 b b)overflow60
(*.f64 a a)overflow67
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o50
(*.f64 b b)overflow60
(*.f64 a a)overflow67
(-.f64 (*.f64 b b) (*.f64 a a))overflow114
Confusion
Predicted +Predicted -
+568
-2190
Precision
0.9655172413793104
Recall
0.875
Confusion?
Predicted +Predicted MaybePredicted -
+5608
-20190
Precision?
0.9655172413793104
Recall?
0.875
Freqs
test
numberfreq
0198
158
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms512×0valid
Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 14.0ms (36.6% of total)
ival-div: 13.0ms (34% of total)
ival-sub: 7.0ms (18.3% of total)
ival-pi: 2.0ms (5.2% of total)
exact: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess173.0ms (2.3%)

Memory
3.5MiB live, 240.8MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033109
110895
239895
3176995
4464895
01521
02621
15019
214319
357219
4273919
5503219
0816119
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 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (+.f64 a b)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (PI.f64))
Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(*.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)

simplify192.0ms (2.5%)

Memory
26.9MiB live, 165.7MiB allocated; 18ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff0
(*.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-diff2
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01577
02677
15073
214373
357273
4273973
5503273
0816173
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 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (+.f64 a b)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (PI.f64))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))
(/.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 #s(literal -1 binary64) (fma.f64 (neg.f64 b) b (*.f64 a 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 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)

localize63.0ms (0.8%)

Memory
-25.2MiB live, 75.9MiB allocated; 12ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.185878759768442
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy0.5182973518835368
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy3.152321044132264
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy9.373152761284413
(*.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
53.0ms256×0valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 31.0ms (76.2% of total)
ival-mult: 6.0ms (14.7% of total)
ival-sub: 2.0ms (4.9% of total)
ival-pi: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-20.4MiB live, 24.9MiB allocated; 6ms collecting garbage
Counts
6 → 52
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a 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)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(-.f64 (*.f64 b b) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(* 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))))))))
(* 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)
(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)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* 1/2 (/ (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 (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 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(/ (+ (* -1/2 (/ (* b (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)
(- (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)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@inf
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
a
@0
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
a
@inf
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
b
@0
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
1.0ms
a
@-inf
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))

simplify164.0ms (2.2%)

Memory
38.6MiB live, 182.2MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911145
19051099
235331055
085221011
Stop Event
iter limit
node limit
Counts
52 → 52
Calls
Call 1
Inputs
(* 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))))))))
(* 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)
(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)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* 1/2 (/ (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 (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 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(/ (+ (* -1/2 (/ (* b (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)
(- (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)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* (pow b 2) (+ 1 (* -1 (/ (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) (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 a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a) (/.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 (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) (/.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 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) (*.f64 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)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) 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 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)) 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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a) a (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)) 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 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b)
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(fma.f64 a (/.f64 a (pow.f64 b #s(literal 4 binary64))) (+.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 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b))
(* -1/2 (/ (PI) (pow a 2)))
(*.f64 (/.f64 (PI.f64) (*.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 #s(literal -1/2 binary64) (*.f64 a a)) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)))
(/ (+ (* -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) (fma.f64 (PI.f64) (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64))) (*.f64 a 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) (+.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64)) (*.f64 (PI.f64) (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (PI.f64))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (/.f64 (PI.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 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) 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 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))) a)) (neg.f64 a))) (*.f64 a a))
(* -1 (pow a 2))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #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 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 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 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) 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 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))) a)) (neg.f64 a))) (*.f64 a a))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)))
(+ (* -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 (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) (/.f64 (PI.f64) (*.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 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 8 binary64))) (*.f64 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)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) 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 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)) 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 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) b) b (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)) 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 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b 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)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.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)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(*.f64 (fma.f64 a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a) (/.f64 (PI.f64) (*.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 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (PI.f64))) (*.f64 b b))
(/ (+ (* 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 #s(literal 1/2 binary64) (+.f64 (fma.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (PI.f64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (PI.f64))) (*.f64 b b))
(/ (+ (* -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 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) 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) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)))) b)) (neg.f64 b))) (*.f64 b b))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b)
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 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 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)))) b)) (neg.f64 b))) (*.f64 b b))

rewrite131.0ms (1.7%)

Memory
12.3MiB live, 150.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01554
02654
111250
298050
0891250
Stop Event
iter limit
node limit
iter limit
Counts
6 → 342
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a 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)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(-.f64 (*.f64 b b) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (-.f64 b a)))
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(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))))
(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)))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64))))

eval58.0ms (0.8%)

Memory
-7.0MiB live, 85.8MiB allocated; 17ms collecting garbage
Compiler

Compiled 11 517 to 1 606 computations (86.1% saved)

prune15.0ms (0.2%)

Memory
-14.0MiB live, 32.1MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New37114385
Fresh000
Picked011
Done000
Total37115386
Accuracy
99.9%
Counts
386 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.7%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 a b) (*.f64 a b))))
84.5%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
79.3%
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
78.9%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
79.3%
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
88.2%
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
76.3%
(*.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)))
52.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b))
66.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a))
42.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
54.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b))
49.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
41.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
54.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
Compiler

Compiled 845 to 569 computations (32.7% saved)

simplify165.0ms (2.2%)

Memory
5.7MiB live, 149.7MiB allocated; 15ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)))
cost-diff0
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)
cost-diff0
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a)
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff0
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a))
cost-diff8
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 a a))
cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.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 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
cost-diff0
(/.f64 (PI.f64) (*.f64 a a))
cost-diff0
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
cost-diff0
(*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (-.f64 b a) a)
cost-diff0
(/.f64 (/.f64 (-.f64 b a) a) b)
cost-diff0
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
cost-diff8
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050355
080355
1170349
2564333
32772309
46171309
08266309
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(*.f64 #s(literal 2 binary64) (+.f64 a b))
#s(literal 2 binary64)
(+.f64 a b)
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (PI.f64) (*.f64 a a))
(PI.f64)
(*.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 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (PI.f64) (*.f64 a a))
(PI.f64)
(*.f64 a a)
a
(+.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)
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(-.f64 b a)
b
a
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(*.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a)
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)))
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))
(*.f64 (/.f64 (PI.f64) b) a)
(/.f64 (PI.f64) b)
(PI.f64)
a
Outputs
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) b) a)
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) b) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) a))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(*.f64 #s(literal 2 binary64) (+.f64 a b))
(*.f64 (+.f64 a b) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 a b)
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (PI.f64) (*.f64 a a))
(PI.f64)
(*.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 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) (*.f64 a a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.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)) (/.f64 (PI.f64) (*.f64 a a)))
(/.f64 (PI.f64) (*.f64 a a))
(PI.f64)
(*.f64 a a)
a
(+.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)
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) b) a)
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a))
(*.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (PI.f64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(-.f64 b a)
b
a
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (*.f64 (+.f64 a b) a) (*.f64 (-.f64 b a) b))
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(*.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) b) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a)
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) b) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)))
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) #s(literal -1/2 binary64))
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))
(*.f64 (/.f64 (PI.f64) b) a)
(/.f64 (PI.f64) b)
(PI.f64)
a

localize151.0ms (2%)

Memory
9.7MiB live, 151.5MiB allocated; 15ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.23046875
(/.f64 (PI.f64) b)
accuracy0.234375
(*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)))
accuracy7.225474605664983
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a)
accuracy31.663116061295174
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
accuracy0.0
(PI.f64)
accuracy0.24609375
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a))
accuracy1.9238292189849866
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
accuracy11.337950234373853
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
accuracy0.03125
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy0.1875
(/.f64 (PI.f64) (*.f64 a a))
accuracy4.310049162872405
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
accuracy24.74246124043911
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
accuracy0.0
(PI.f64)
accuracy0.1875
(/.f64 (PI.f64) (*.f64 a a))
accuracy8.545865553283901
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
accuracy19.86308048801586
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
accuracy0.18359375
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
accuracy0.19921875
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
accuracy0.23828125
(/.f64 (PI.f64) (-.f64 b a))
accuracy7.074421177285048
(/.f64 (/.f64 (-.f64 b a) a) b)
Samples
124.0ms256×0valid
Compiler

Compiled 317 to 46 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-div: 52.0ms (59.1% of total)
ival-mult: 23.0ms (26.1% of total)
ival-add: 7.0ms (8% of total)
ival-sub: 5.0ms (5.7% of total)
ival-pi: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series48.0ms (0.6%)

Memory
-16.2MiB live, 70.6MiB allocated; 13ms collecting garbage
Counts
22 → 118
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (PI.f64) (*.f64 a a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(PI.f64)
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a)
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)))
(/.f64 (PI.f64) (-.f64 b a))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(/.f64 (PI.f64) b)
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/ 1/2 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ (PI) (pow a 2))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* 1/2 (* b (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2))))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(/ (PI) 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))
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(* 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)))
(/ (+ (* -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 b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
-1
(- (/ b a) 1)
(* -1/2 (* a (PI)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(* -1/2 (/ (* a (PI)) (pow b 3)))
(* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))))
(* -1/2 (/ (* a (PI)) (pow b 2)))
(* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (PI) (* a b)))))
(* -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)
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(* -1 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(/ (+ (* -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 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (PI) (* a (pow b 2)))) (* 1/2 (/ (PI) (pow b 3))))))
(* -1 (* a (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow b 2))))))
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (/ b a) 1) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 3))
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 2))
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(* b (- (/ 1 a) (/ 1 b)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) 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)
(* (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))))
(/ (+ (* -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 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) 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 (* (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)))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
a
@inf
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (/ (* (/ (PI) 2) (- b a)) (* (* (+ a b) (- b a)) (* a b))) (* (/ (PI) 2) (- b a)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) a) (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)) (* (* (+ a b) (- b a)) (* a b)) (/ (PI) b))
9.0ms
b
@-inf
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (/ (* (/ (PI) 2) (- b a)) (* (* (+ a b) (- b a)) (* a b))) (* (/ (PI) 2) (- b a)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) a) (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)) (* (* (+ a b) (- b a)) (* a b)) (/ (PI) b))
9.0ms
b
@inf
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (/ (* (/ (PI) 2) (- b a)) (* (* (+ a b) (- b a)) (* a b))) (* (/ (PI) 2) (- b a)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) a) (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)) (* (* (+ a b) (- b a)) (* a b)) (/ (PI) b))
7.0ms
a
@0
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (/ (* (/ (PI) 2) (- b a)) (* (* (+ a b) (- b a)) (* a b))) (* (/ (PI) 2) (- b a)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) a) (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)) (* (* (+ a b) (- b a)) (* a b)) (/ (PI) b))
6.0ms
b
@0
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (/ (* (/ (PI) 2) (- b a)) (* (* (+ a b) (- b a)) (* a b))) (* (/ (PI) 2) (- b a)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) a) (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)) (* (* (+ a b) (- b a)) (* a b)) (/ (PI) b))

simplify194.0ms (2.6%)

Memory
46.2MiB live, 276.8MiB allocated; 86ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04721838
115951643
260521609
080521555
Stop Event
iter limit
node limit
Counts
118 → 118
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 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ (PI) (pow a 2))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* 1/2 (* b (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2))))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(/ (PI) 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))
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(* 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)))
(/ (+ (* -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 b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
-1
(- (/ b a) 1)
(* -1/2 (* a (PI)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(* -1/2 (/ (* a (PI)) (pow b 3)))
(* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))))
(* -1/2 (/ (* a (PI)) (pow b 2)))
(* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (PI) (* a b)))))
(* -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)
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(* -1 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(/ (+ (* -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 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (PI) (* a (pow b 2)))) (* 1/2 (/ (PI) (pow b 3))))))
(* -1 (* a (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow b 2))))))
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (/ b a) 1) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 3))
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 2))
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(* b (- (/ 1 a) (/ 1 b)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) 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)
(* (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))))
(/ (+ (* -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 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) 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 (* (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)))))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (PI.f64) (/.f64 a b)) (PI.f64))) b) b) 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 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a))) a)) 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 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a)
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/.f64 (/.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1/2 binary64)) b) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) b) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) b)) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ b a)
(/.f64 b a)
(/ (+ b (* -1 a)) a)
(/.f64 (-.f64 b a) 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))
(/ (PI) (pow a 2))
(/.f64 (PI.f64) (*.f64 a a))
(* -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 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 a b)))) (pow.f64 a #s(literal 3 binary64)))
(* 1/2 (* b (PI)))
(*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (/ (PI) (pow b 2)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2))))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (PI.f64) (/.f64 a b)) (PI.f64))) b) b)
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (PI.f64) (/.f64 a b)) (PI.f64))) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.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 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a (/.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)
(/.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)
(* 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 (fma.f64 (neg.f64 a) b #s(literal 0 binary64)) a (pow.f64 b #s(literal 3 binary64))) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b))) a)) 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 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 b (/.f64 b a)) (/.f64 (PI.f64) a) (PI.f64)) a))) (*.f64 a a))
(/ -1/2 (* a b))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
-1
#s(literal -1 binary64)
(- (/ b a) 1)
(-.f64 (/.f64 b a) #s(literal 1 binary64))
(* -1/2 (* a (PI)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) a)
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) 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 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 b b))
(* -1/2 (/ (* a (PI)) (pow b 3)))
(*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) a)
(* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 b b)) a)
(* -1/2 (/ (* a (PI)) (pow b 2)))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (PI) (* a b)))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) b) a)
(* -1 (/ (PI) a))
(/.f64 (PI.f64) (neg.f64 a))
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)) (neg.f64 a))
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (PI.f64) (*.f64 b (/.f64 b a)) (*.f64 (PI.f64) b)) a)) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)
(/.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (PI.f64))) (/.f64 (fma.f64 (PI.f64) (*.f64 b (/.f64 b a)) (*.f64 (PI.f64) b)) a)) a)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(* -1 (* (pow a 3) b))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) b)
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) a) b) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 0 binary64)) a) b) (pow.f64 a #s(literal 3 binary64)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) (neg.f64 a))) 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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b (*.f64 (/.f64 (PI.f64) a) b)) (*.f64 (PI.f64) b))) (neg.f64 a))) (neg.f64 a))) (*.f64 a a))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (*.f64 b (/.f64 b a))) a)) a) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) (neg.f64 a))
(* -1 (* a (+ (* -1/2 (/ (PI) (* a (pow b 2)))) (* 1/2 (/ (PI) (pow b 3))))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 b b)) (neg.f64 a))
(* -1 (* a (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow b 2))))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) b) (neg.f64 a))
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)) (neg.f64 a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (/.f64 (PI.f64) a) (*.f64 (neg.f64 b) (PI.f64))) a)) (neg.f64 a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) b) b (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (PI.f64)) a)) (neg.f64 a))) a)) (neg.f64 a))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) a) b) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 0 binary64)) a) b) (pow.f64 a #s(literal 3 binary64)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) 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 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b))) b (*.f64 (/.f64 (PI.f64) (*.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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b)
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b)
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 b a)) a) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)) b (/.f64 #s(literal -1/2 binary64) a)) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/.f64 (fma.f64 (*.f64 (-.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b) b (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 b a)) a)) b)
(/ (- (/ b a) 1) b)
(/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b))) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 3))
(/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b b))
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)) (neg.f64 a))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(fma.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 a a))) b (/.f64 (PI.f64) (neg.f64 a)))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b) (/.f64 (PI.f64) (*.f64 a a))) b (/.f64 (PI.f64) (neg.f64 a)))
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) b)
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) b)
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(*.f64 (fma.f64 (fma.f64 a b #s(literal 0 binary64)) b (pow.f64 (neg.f64 a) #s(literal 3 binary64))) b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 a b)))) b)) 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 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) b))) (*.f64 b b))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(/.f64 (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) (/.f64 #s(literal 1/2 binary64) a))) b)
(* b (- (/ 1 a) (/ 1 b)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (PI.f64) (/.f64 a b)) (PI.f64))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) (pow b 2))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (PI.f64) (/.f64 a b)) (PI.f64))) b) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (PI.f64) (/.f64 a b)) (PI.f64))) b)
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b) b) a (/.f64 (PI.f64) b))
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (+.f64 (fma.f64 (PI.f64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (PI.f64)) (/.f64 (fma.f64 (PI.f64) (*.f64 a (/.f64 a b)) (*.f64 (PI.f64) a)) b)) b)
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(*.f64 (-.f64 a (/.f64 #s(literal 0 binary64) b)) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal -1 binary64) #s(literal 0 binary64)) b) a) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (PI.f64) (/.f64 a b)) (PI.f64))) (neg.f64 b))) b) b)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (*.f64 (PI.f64) (/.f64 a b))) (*.f64 (PI.f64) a))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) (neg.f64 b)) #s(literal 1 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(*.f64 (neg.f64 b) (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 a b)))))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 a b)))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 a (/.f64 a b)) (*.f64 (PI.f64) a)) b) (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) b)) b)) (neg.f64 b))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) b) a))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) b)) b) a)) (pow.f64 b #s(literal 3 binary64)))

rewrite230.0ms (3%)

Memory
-45.7MiB live, 250.2MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050276
080276
1306270
22700270
08579270
Stop Event
iter limit
node limit
iter limit
Counts
22 → 546
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (PI.f64) (*.f64 a a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(PI.f64)
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a)
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)))
(/.f64 (PI.f64) (-.f64 b a))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(/.f64 (PI.f64) b)
Outputs
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (PI.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 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (PI.f64)) (+.f64 a b)) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) (/.f64 (-.f64 b a) b))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a b)) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 a b)))
(*.f64 (/.f64 (-.f64 b a) (+.f64 a b)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)))
(*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))))
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(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 b (fma.f64 (PI.f64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) (pow.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 (neg.f64 b) (fma.f64 (PI.f64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) (pow.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) 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))
(*.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 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (-.f64 b a)))
(/.f64 (PI.f64) (-.f64 b a))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (-.f64 b a)))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (-.f64 b a))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) (*.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 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) a) b)
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) b) a)
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))) (neg.f64 (*.f64 a b)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 b) (*.f64 a #s(literal -1/2 binary64))) (*.f64 a (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 b) (*.f64 (neg.f64 a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (neg.f64 a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 a) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 (neg.f64 b) #s(literal -1/2 binary64))) (*.f64 (neg.f64 b) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 a) (*.f64 (neg.f64 b) #s(literal 1/2 binary64))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 a) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 a b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (*.f64 a b))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 a b)))
(+.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 (*.f64 (*.f64 a b) (+.f64 a b)) (-.f64 b a))
(*.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) a)
(*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b))
(*.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) b)
(*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (+.f64 a b) (*.f64 (*.f64 (-.f64 b a) a) b))
(*.f64 (-.f64 b a) (*.f64 (+.f64 a b) (*.f64 a b)))
(*.f64 a (*.f64 b (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 b (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a b)) (fma.f64 a a (*.f64 b b)))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 a b)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (*.f64 (-.f64 b a) a) b)) (-.f64 a b))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 b a) a) b)) (fma.f64 a a (*.f64 b (-.f64 b a))))
(/.f64 (*.f64 (*.f64 a b) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 a a (*.f64 b b)))
(/.f64 (*.f64 (*.f64 a b) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 a b) (*.f64 b b) (*.f64 (*.f64 a b) (*.f64 (neg.f64 a) a)))
(fma.f64 (*.f64 b b) (*.f64 a b) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a b)))
(+.f64 (*.f64 (*.f64 a b) (*.f64 b b)) (*.f64 (*.f64 a b) (*.f64 (neg.f64 a) a)))
(+.f64 (*.f64 (*.f64 b b) (*.f64 a b)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a b)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 b))
(/.f64 (PI.f64) b)
(neg.f64 (/.f64 (neg.f64 (PI.f64)) b))
(neg.f64 (/.f64 (PI.f64) (neg.f64 b)))

eval142.0ms (1.9%)

Memory
2.7MiB live, 147.0MiB allocated; 19ms collecting garbage
Compiler

Compiled 27 233 to 3 238 computations (88.1% saved)

prune98.0ms (1.3%)

Memory
27.6MiB live, 74.5MiB allocated; 3ms collecting garbage
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New78922811
Fresh819
Picked325
Done101
Total80125826
Accuracy
100.0%
Counts
826 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.6%
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
78.9%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
59.4%
(/.f64 #s(approx (* (/ (PI) 2) (- b a)) (*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
66.1%
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 b a) b) b) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
71.0%
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
79.1%
(*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))))
63.1%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
68.9%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
52.1%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 a b)))) b)) b) b))
49.2%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
50.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) b) a))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
51.4%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
68.8%
#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) b)) a))
68.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
51.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a b)))
53.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a b))))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
49.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
54.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
51.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (*.f64 a b))))
Compiler

Compiled 1 478 to 1 007 computations (31.9% saved)

simplify169.0ms (2.2%)

Memory
-52.5MiB live, 139.4MiB allocated; 86ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
cost-diff1
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))
cost-diff2
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a))
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
cost-diff0
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
cost-diff0
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
cost-diff0
(*.f64 b b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a))
cost-diff0
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (PI.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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
cost-diff0
(-.f64 b a)
cost-diff0
(/.f64 (-.f64 b a) a)
cost-diff0
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
cost-diff6
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056325
084325
1185317
2590317
32508289
08748289
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(PI.f64)
(*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a))
(*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)
(*.f64 (+.f64 a b) #s(literal 2 binary64))
(+.f64 a b)
#s(literal 2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
#s(literal 1/2 binary64)
(*.f64 b b)
b
(/.f64 (PI.f64) a)
(PI.f64)
a
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
b
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a))
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a))
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))
#s(literal -1/2 binary64)
b
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(/.f64 (PI.f64) a)
(PI.f64)
(*.f64 (*.f64 a b) a)
(*.f64 a b)
Outputs
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) b)))
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
(*.f64 (PI.f64) (/.f64 (-.f64 b a) a))
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(PI.f64)
(*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a))
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (*.f64 (+.f64 a b) b))
(*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) b)
(*.f64 (+.f64 a b) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 a b))
(+.f64 a b)
#s(literal 2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 (*.f64 a b) a)
(*.f64 a a)
a
b
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
#s(literal 1/2 binary64)
(*.f64 b b)
b
(/.f64 (PI.f64) a)
(PI.f64)
a
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
b
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a 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) (-.f64 b a)) b)) (pow.f64 a #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a))
(/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) b)) (pow.f64 a #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a))
(*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)))
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) (-.f64 b a))
#s(literal -1/2 binary64)
b
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(/.f64 (PI.f64) a)
(PI.f64)
(*.f64 (*.f64 a b) a)
(*.f64 a b)

localize420.0ms (5.5%)

Memory
-25.6MiB live, 165.7MiB allocated; 23ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2109375
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a))
accuracy0.28515625
(/.f64 (PI.f64) a)
accuracy2.11278387738715
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a))
accuracy24.74246124043911
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
accuracy0.18359375
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
accuracy0.19140625
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
accuracy0.23828125
(/.f64 (PI.f64) (-.f64 b a))
accuracy31.953317123652916
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
accuracy0.28515625
(/.f64 (PI.f64) a)
accuracy0.5725929390907852
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
accuracy8.685893563005198
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a))
accuracy26.86122151973052
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
accuracy0.0
(PI.f64)
accuracy0.7288781415447286
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
accuracy7.995206649641623
(*.f64 (*.f64 a a) b)
accuracy19.86308048801586
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
accuracy0.01171875
(*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)
accuracy0.08431625976844201
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
accuracy0.10546875
(*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a))
accuracy10.383466293926661
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
Samples
367.0ms256×0valid
Compiler

Compiled 281 to 47 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 347.0ms
ival-mult: 307.0ms (88.4% of total)
ival-div: 22.0ms (6.3% of total)
ival-pi: 11.0ms (3.2% of total)
ival-sub: 4.0ms (1.2% of total)
ival-add: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series53.0ms (0.7%)

Memory
20.8MiB live, 65.5MiB allocated; 6ms collecting garbage
Counts
25 → 120
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
(/.f64 (-.f64 b a) a)
(-.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) a)
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a))
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a))
(*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a))
(*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)
(*.f64 (*.f64 a a) b)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) (-.f64 b a))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/ (* b (PI)) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ 1/2 a)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 b)
(+ (* -1/2 b) (* 1/2 a))
(* -1/2 (/ (* b (PI)) a))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a)
(* 2 (pow b 3))
(+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3)))
(+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b)))))))
(* 2 (pow b 2))
(+ (* 2 (* a b)) (* 2 (pow b 2)))
(* (pow a 2) b)
(/ (PI) a)
(/ (PI) 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))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1 (PI))
(+ (* -1 (PI)) (/ (* b (PI)) a))
-1
(- (/ b a) 1)
(* -1 a)
(* a (- (/ b a) 1))
(/ -1/2 (* a b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(* 1/2 a)
(* a (+ 1/2 (* -1/2 (/ b a))))
(* 1/2 (PI))
(+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))
(* -2 (* (pow a 2) b))
(* (pow a 2) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 2) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(* 2 (* a b))
(* a (+ (* 2 b) (* 2 (/ (pow b 2) 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 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (* a (- (* 1/2 (/ b a)) 1/2)))
(* (pow a 2) (+ (* -2 b) (* -2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 2) (+ (* -2 b) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (* 2 (* b (+ b (* -1 b))))) a))))
(* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 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))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(- b a)
(/ 1/2 (pow b 2))
(pow b 2)
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(* b (+ (* -2 (pow a 2)) (* 2 (* b (+ a (* -1 a))))))
(* b (+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a)))))))
(* b (+ (* 2 a) (* 2 b)))
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))
(* b (- (/ 1 a) (/ 1 b)))
(* b (+ 1 (* -1 (/ a b))))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (- (* 1/2 (/ a b)) 1/2))
(* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))))
(* (pow b 3) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))
(* (pow b 3) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))
(* (pow b 2) (+ 2 (* 2 (/ a 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 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b))))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))
(* -1 (* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
(* -1 (* (pow b 3) (- (* -2 (/ (+ a (* -1 a)) b)) 2)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* -2 (/ (pow a 2) b)) (* 2 (+ a (* -1 a)))) b)) 2)))
(* -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))
Calls

6 calls:

TimeVariablePointExpression
25.0ms
b
@0
((/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (* (/ (- b a) a) (PI)) (/ (- b a) a) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (* (/ 1/2 (* b b)) (/ (PI) a)) (/ 1/2 (* b b)) (* b b) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ 1/2 a) b) (/ 1/2 a) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* a b) a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* (* (+ a b) 2) b) (- b a)) (* (* (+ a b) 2) b) (* (* a a) b) (/ (PI) a) (/ (PI) (- b a)))
5.0ms
b
@-inf
((/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (* (/ (- b a) a) (PI)) (/ (- b a) a) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (* (/ 1/2 (* b b)) (/ (PI) a)) (/ 1/2 (* b b)) (* b b) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ 1/2 a) b) (/ 1/2 a) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* a b) a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* (* (+ a b) 2) b) (- b a)) (* (* (+ a b) 2) b) (* (* a a) b) (/ (PI) a) (/ (PI) (- b a)))
5.0ms
a
@-inf
((/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (* (/ (- b a) a) (PI)) (/ (- b a) a) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (* (/ 1/2 (* b b)) (/ (PI) a)) (/ 1/2 (* b b)) (* b b) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ 1/2 a) b) (/ 1/2 a) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* a b) a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* (* (+ a b) 2) b) (- b a)) (* (* (+ a b) 2) b) (* (* a a) b) (/ (PI) a) (/ (PI) (- b a)))
5.0ms
b
@inf
((/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (* (/ (- b a) a) (PI)) (/ (- b a) a) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (* (/ 1/2 (* b b)) (/ (PI) a)) (/ 1/2 (* b b)) (* b b) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ 1/2 a) b) (/ 1/2 a) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* a b) a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* (* (+ a b) 2) b) (- b a)) (* (* (+ a b) 2) b) (* (* a a) b) (/ (PI) a) (/ (PI) (- b a)))
5.0ms
a
@0
((/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (* (/ (- b a) a) (PI)) (/ (- b a) a) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (* (/ 1/2 (* b b)) (/ (PI) a)) (/ 1/2 (* b b)) (* b b) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ 1/2 a) b) (/ 1/2 a) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* a b) a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* (* (+ a b) 2) b) (- b a)) (* (* (+ a b) 2) b) (* (* a a) b) (/ (PI) a) (/ (PI) (- b a)))

simplify174.0ms (2.3%)

Memory
29.3MiB live, 117.6MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04871741
116431579
262131548
080771485
Stop Event
iter limit
node limit
Counts
120 → 119
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/ (* b (PI)) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ 1/2 a)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 b)
(+ (* -1/2 b) (* 1/2 a))
(* -1/2 (/ (* b (PI)) a))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a)
(* 2 (pow b 3))
(+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3)))
(+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b)))))))
(* 2 (pow b 2))
(+ (* 2 (* a b)) (* 2 (pow b 2)))
(* (pow a 2) b)
(/ (PI) a)
(/ (PI) 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))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1 (PI))
(+ (* -1 (PI)) (/ (* b (PI)) a))
-1
(- (/ b a) 1)
(* -1 a)
(* a (- (/ b a) 1))
(/ -1/2 (* a b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(* 1/2 a)
(* a (+ 1/2 (* -1/2 (/ b a))))
(* 1/2 (PI))
(+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))
(* -2 (* (pow a 2) b))
(* (pow a 2) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 2) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(* 2 (* a b))
(* a (+ (* 2 b) (* 2 (/ (pow b 2) 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 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (* a (- (* 1/2 (/ b a)) 1/2)))
(* (pow a 2) (+ (* -2 b) (* -2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 2) (+ (* -2 b) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (* 2 (* b (+ b (* -1 b))))) a))))
(* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 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))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(- b a)
(/ 1/2 (pow b 2))
(pow b 2)
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(* b (+ (* -2 (pow a 2)) (* 2 (* b (+ a (* -1 a))))))
(* b (+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a)))))))
(* b (+ (* 2 a) (* 2 b)))
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))
(* b (- (/ 1 a) (/ 1 b)))
(* b (+ 1 (* -1 (/ a b))))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (- (* 1/2 (/ a b)) 1/2))
(* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))))
(* (pow b 3) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))
(* (pow b 3) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))
(* (pow b 2) (+ 2 (* 2 (/ a 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 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b))))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))
(* -1 (* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
(* -1 (* (pow b 3) (- (* -2 (/ (+ a (* -1 a)) b)) 2)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* -2 (/ (pow a 2) b)) (* 2 (+ a (* -1 a)))) b)) 2)))
(* -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))
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 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) a) b) (PI.f64))) b) b) 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 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a))) a)) 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 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a)
(/ (* b (PI)) a)
(/.f64 (*.f64 (PI.f64) b) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) a)
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) a)
(/ b a)
(/.f64 b a)
(/ (+ b (* -1 a)) a)
(/.f64 (-.f64 b a) a)
b
(+ b (* -1 a))
(-.f64 b a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 a) b)) b) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) b) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) b)) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(* -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 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b))) (pow.f64 a #s(literal 3 binary64)))
(* -1/2 b)
(*.f64 #s(literal -1/2 binary64) b)
(+ (* -1/2 b) (* 1/2 a))
(*.f64 #s(literal -1/2 binary64) (-.f64 b a))
(* -1/2 (/ (* b (PI)) a))
(*.f64 (/.f64 (*.f64 (PI.f64) b) a) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a)
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (-.f64 b a))) a)
(* 2 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64))
(+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3)))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b)))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 0 binary64)) b (*.f64 #s(literal -2 binary64) (*.f64 a a))) b)
(* 2 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 2 binary64))
(+ (* 2 (* a b)) (* 2 (pow b 2)))
(*.f64 (*.f64 #s(literal 2 binary64) b) (+.f64 a b))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.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 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) b (/.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 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 b b) (PI.f64)) a) (*.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (*.f64 a a))
(* -1 (PI))
(neg.f64 (PI.f64))
(+ (* -1 (PI)) (/ (* b (PI)) a))
(fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64)))
-1
#s(literal -1 binary64)
(- (/ b a) 1)
(-.f64 (/.f64 b a) #s(literal 1 binary64))
(* -1 a)
(neg.f64 a)
(* a (- (/ b a) 1))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(/ -1/2 (* a b))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)) (/.f64 #s(literal 1/2 binary64) b)) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (* -1/2 (/ b a))))
(*.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) a)
(* 1/2 (PI))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)))
(* -2 (* (pow a 2) b))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)
(* (pow a 2) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 #s(literal 0 binary64) a)) a) a)
(* (pow a 2) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 0 binary64)) a) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) b)) (*.f64 a a))
(* 2 (* a b))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(* a (+ (* 2 b) (* 2 (/ (pow b 2) a))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 b (/.f64 b a) b) a))
(* -1 (/ (PI) a))
(/.f64 (neg.f64 (PI.f64)) a)
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)) (neg.f64 a))
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (PI.f64) (*.f64 b (/.f64 b a)) (*.f64 (PI.f64) b)) a)) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)
(/.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (PI.f64))) (/.f64 (fma.f64 (PI.f64) (*.f64 b (/.f64 b a)) (*.f64 (PI.f64) b)) a)) a)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64))) (neg.f64 a))) 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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 b (/.f64 b a))) (*.f64 (PI.f64) b))) (neg.f64 a))) (neg.f64 a))) (*.f64 a a))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 a))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (*.f64 b (/.f64 b a))) a)) a) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))
(* -1 (* a (- (* 1/2 (/ b a)) 1/2)))
(*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 a))
(* (pow a 2) (+ (* -2 b) (* -2 (/ (* b (+ b (* -1 b))) a))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 #s(literal 0 binary64) a)) a) a)
(* (pow a 2) (+ (* -2 b) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (* 2 (* b (+ b (* -1 b))))) a))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -2 binary64) #s(literal 0 binary64)) (neg.f64 a))) a) a)
(* -1 (* a (+ (* -2 b) (* -2 (/ (pow b 2) a)))))
(*.f64 (*.f64 (neg.f64 a) #s(literal -2 binary64)) (fma.f64 b (/.f64 b a) b))
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)) (neg.f64 a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (/.f64 (PI.f64) a) (*.f64 (neg.f64 b) (PI.f64))) a)) (neg.f64 a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) b) b (*.f64 (PI.f64) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) (neg.f64 a))) a)) (neg.f64 a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64))) a) a) 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 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b))) b)) 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 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b)) b)
(- b a)
(-.f64 b a)
(/ 1/2 (pow b 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) b)
(pow b 2)
(*.f64 b b)
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b)
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 b a)) a) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)) b (/.f64 #s(literal -1/2 binary64) a)) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/.f64 (fma.f64 (*.f64 (-.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b) b (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 b a)) a)) b)
(* b (+ (* -2 (pow a 2)) (* 2 (* b (+ a (* -1 a))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a b) #s(literal 0 binary64)) a)
(* b (+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a)))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 0 binary64)) b (*.f64 #s(literal -2 binary64) (*.f64 a a))) b)
(* b (+ (* 2 a) (* 2 b)))
(*.f64 (*.f64 #s(literal 2 binary64) b) (+.f64 a b))
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)) (neg.f64 a))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(fma.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (neg.f64 (PI.f64)) a))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (neg.f64 (PI.f64)) a))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) a) b))) b)) 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 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) b))) (*.f64 b b))
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))
(*.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1 binary64) (/.f64 (PI.f64) a)) b)
(* b (- (/ 1 a) (/ 1 b)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b)
(* b (+ 1 (* -1 (/ a b))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(/.f64 (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) (/.f64 #s(literal 1/2 binary64) a))) b)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))
(* b (- (* 1/2 (/ a b)) 1/2))
(*.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) b)
(* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) b)
(* (pow b 3) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) b)) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 3) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 a b)) #s(literal -2 binary64) #s(literal 0 binary64)) b) #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 2) (+ 2 (* 2 (/ a b))))
(*.f64 (*.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 2 binary64)) b) b)
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b) b) a (/.f64 (PI.f64) b))
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (+.f64 (fma.f64 (PI.f64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (PI.f64)) (/.f64 (fma.f64 (PI.f64) (*.f64 a (/.f64 a b)) (*.f64 (PI.f64) a)) b)) b)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) a) b) (PI.f64))) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (*.f64 (PI.f64) a) b)) (*.f64 (PI.f64) a))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (PI.f64) a) #s(literal -1 binary64) (/.f64 (PI.f64) b)))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(* -1 (* b (- (/ a b) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64)))
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) (neg.f64 b)) #s(literal 1 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
(*.f64 (neg.f64 b) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))
(* -1 (* (pow b 3) (- (* -2 (/ (+ a (* -1 a)) b)) 2)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* -2 (/ (pow a 2) b)) (* 2 (+ a (* -1 a)))) b)) 2)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 a (/.f64 a b)) #s(literal -2 binary64) #s(literal 0 binary64))) b) #s(literal 2 binary64)))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 a (/.f64 a b)) (*.f64 (PI.f64) a)) b) (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) b)) b)) (neg.f64 b))

rewrite174.0ms (2.3%)

Memory
-18.0MiB live, 226.8MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056277
084277
1304269
22402269
08264269
Stop Event
iter limit
node limit
iter limit
Counts
25 → 604
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
(/.f64 (-.f64 b a) a)
(-.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) a)
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a))
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a))
(*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a))
(*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)
(*.f64 (*.f64 a a) b)
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) (-.f64 b a))
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal -2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
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(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.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 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) (*.f64 a (*.f64 (*.f64 a b) a))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (/.f64 (PI.f64) a))
(*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -1/2 binary64) (-.f64 b a)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) a) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a))))
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(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))))) (neg.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))))) (neg.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))))) (neg.f64 (*.f64 a (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (/.f64 (PI.f64) a))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))) (/.f64 (PI.f64) a))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (PI.f64))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)) a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))) (PI.f64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))) a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -1/2 binary64) (-.f64 b a))) (neg.f64 a))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (neg.f64 (PI.f64))) (neg.f64 a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64))) (neg.f64 a))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (/.f64 (PI.f64) a)) (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))) (/.f64 (PI.f64) a)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (neg.f64 (PI.f64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)) (neg.f64 a)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (PI.f64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)) a))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))) (neg.f64 (PI.f64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))) (neg.f64 a)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))) a))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64)))) (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b))))))
(/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a))))
(/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64)))) (*.f64 a (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b))))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) a)
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) a)))
(+.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a)))
(+.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b)))
(*.f64 (neg.f64 (*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64))) (-.f64 b a))
(*.f64 (*.f64 (-.f64 b a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b)) (*.f64 (-.f64 b a) b))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)) b)
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (neg.f64 (*.f64 (-.f64 b a) b)))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (*.f64 (-.f64 b a) b))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 #s(literal 2 binary64) b))
(*.f64 (*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64)) (-.f64 b a))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) b)))
(*.f64 (+.f64 a b) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) b)))
(*.f64 (+.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) b) (-.f64 b a)))
(*.f64 (-.f64 b a) (neg.f64 (*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64))))
(*.f64 (-.f64 b a) (*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64)))
(*.f64 b (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) (neg.f64 (+.f64 a b)))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64))) (+.f64 a b))
(/.f64 (*.f64 (*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(neg.f64 (*.f64 (*.f64 (-.f64 b a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))))
(*.f64 (*.f64 b (+.f64 a b)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) b) (+.f64 a b))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) b)
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a b) b))
(*.f64 (+.f64 a b) (*.f64 #s(literal 2 binary64) b))
(*.f64 b (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 (neg.f64 b) b)) (*.f64 #s(literal 2 binary64) b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) b))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 (neg.f64 b) b)) (*.f64 #s(literal 2 binary64) b)) (-.f64 a b))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) b)) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(fma.f64 (*.f64 #s(literal 2 binary64) a) b (*.f64 (*.f64 #s(literal 2 binary64) b) b))
(fma.f64 (+.f64 a b) b (*.f64 (+.f64 a b) b))
(fma.f64 b (*.f64 #s(literal 2 binary64) a) (*.f64 b (*.f64 #s(literal 2 binary64) b)))
(fma.f64 b (+.f64 a b) (*.f64 b (+.f64 a b)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 (*.f64 #s(literal 2 binary64) b) b))
(+.f64 (*.f64 (+.f64 a b) b) (*.f64 (+.f64 a b) b))
(+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) a)) (*.f64 b (*.f64 #s(literal 2 binary64) b)))
(+.f64 (*.f64 b (+.f64 a b)) (*.f64 b (+.f64 a b)))
(*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) b))
(*.f64 (*.f64 a b) a)
(*.f64 (*.f64 a a) b)
(*.f64 a (*.f64 a b))
(*.f64 b (*.f64 a a))
(fabs.f64 (*.f64 (*.f64 (neg.f64 a) a) b))
(fabs.f64 (*.f64 (*.f64 a b) a))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 a))
(/.f64 (PI.f64) a)
(neg.f64 (/.f64 (neg.f64 (PI.f64)) a))
(neg.f64 (/.f64 (PI.f64) (neg.f64 a)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 a a)))
(*.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))
(*.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 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (-.f64 b a))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (-.f64 b a))
(/.f64 (neg.f64 (PI.f64)) (-.f64 b a))
(/.f64 (PI.f64) (-.f64 b a))
(neg.f64 (/.f64 (PI.f64) (-.f64 b a)))

eval173.0ms (2.3%)

Memory
17.2MiB live, 207.0MiB allocated; 37ms collecting garbage
Compiler

Compiled 33 342 to 3 377 computations (89.9% saved)

prune56.0ms (0.7%)

Memory
-0.8MiB live, 122.9MiB allocated; 27ms collecting garbage
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New97917996
Fresh14418
Picked235
Done022
Total995261 021
Accuracy
100.0%
Counts
1 021 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.6%
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
55.2%
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(approx (* (* (* (+ a b) 2) b) (- b a)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
78.9%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
63.2%
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
70.1%
(/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
57.9%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
63.1%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
49.5%
#s(approx (/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
57.9%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b))
57.9%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) b))
57.9%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
49.2%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))
49.2%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
49.5%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
51.4%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
68.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
52.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) (*.f64 a (*.f64 (*.f64 a b) a))))
67.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
68.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a) (PI.f64)))
62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
68.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a)))
68.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
54.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
Compiler

Compiled 1 371 to 936 computations (31.7% saved)

simplify137.0ms (1.8%)

Memory
14.9MiB live, 116.1MiB allocated; 35ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
cost-diff0
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
cost-diff0
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
cost-diff0
(*.f64 a b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
cost-diff0
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
cost-diff0
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 a b))
cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 a 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 a b)) (/.f64 #s(literal 1/2 binary64) a)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 b a)
cost-diff0
(*.f64 (-.f64 b a) (PI.f64))
cost-diff8
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049310
071310
1149306
2462298
32262282
47231282
08268282
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
b
a
(PI.f64)
(*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 a b)
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))
(*.f64 #s(literal 2 binary64) (+.f64 a b))
#s(literal 2 binary64)
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) a)
(*.f64 a b)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
(*.f64 a b)
a
b
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(/.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 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
b
#s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) b)
(PI.f64)
Outputs
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (PI.f64)) (+.f64 a b))
(*.f64 (-.f64 b a) (PI.f64))
(*.f64 (PI.f64) (-.f64 b a))
(-.f64 b a)
b
a
(PI.f64)
(*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) a) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))
(*.f64 a b)
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))
(*.f64 #s(literal 2 binary64) (+.f64 a b))
(*.f64 (+.f64 a b) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) a)
(*.f64 (*.f64 a a) b)
(*.f64 a b)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.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) a) a) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
(*.f64 a b)
a
b
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
#s(literal 1/2 binary64)
(*.f64 a b)
a
b
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
(*.f64 #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)) #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
b
#s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) b)
(PI.f64)

localize116.0ms (1.5%)

Memory
-1.3MiB live, 187.3MiB allocated; 25ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.19140625
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
accuracy0.23046875
(/.f64 (PI.f64) b)
accuracy31.953317123652916
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
accuracy36.755299546177284
#s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b))
accuracy0.18359375
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
accuracy0.23828125
(/.f64 (PI.f64) (-.f64 b a))
accuracy0.3315032690619957
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
accuracy31.953317123652916
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
accuracy0.0
(PI.f64)
accuracy0.15234375
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))
accuracy0.404360675814058
(/.f64 (PI.f64) (*.f64 a b))
accuracy19.86308048801586
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
accuracy0.0
(PI.f64)
accuracy0.1328125
(*.f64 (*.f64 a b) a)
accuracy0.7288781415447286
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))
accuracy19.86308048801586
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
accuracy0.0
(PI.f64)
accuracy0.24609375
(*.f64 (-.f64 b a) (PI.f64))
accuracy2.1602418487911734
(*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
accuracy11.329749774577346
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
Samples
76.0ms256×0valid
Compiler

Compiled 260 to 40 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 27.0ms (52.2% of total)
ival-mult: 18.0ms (34.8% of total)
ival-sub: 4.0ms (7.7% of total)
ival-pi: 1.0ms (1.9% of total)
ival-add: 1.0ms (1.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-12.6MiB live, 34.0MiB allocated; 2ms collecting garbage
Counts
23 → 91
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))
(*.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 a b)) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (PI.f64) (*.f64 a b))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(*.f64 a b)
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (*.f64 a b) a)
(/.f64 (PI.f64) (-.f64 b a))
#s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) b)
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* a b))
(/ 1/2 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(* a b)
(/ 1/2 a)
(* 2 (* a (pow b 3)))
(* a (+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3))))
(* a (+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b))))))))
(* (pow a 2) b)
(/ (PI) 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))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* -1 a)
(* a (- (/ b a) 1))
(/ -1/2 (* a b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(* -2 (* (pow a 3) b))
(* (pow a 3) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 3) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(* -1 (/ (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 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (* (pow a 3) (+ (* 2 b) (* 2 (/ (* b (+ b (* -1 b))) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (* b (+ b (* -1 b)))) (* 2 (/ (pow b 3) a))) a)) (* 2 b))))
(* -1 (/ (+ (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))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(- b a)
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(* b (+ (* -2 (pow a 3)) (* 2 (* a (* b (+ a (* -1 a)))))))
(* b (+ (* -2 (pow a 3)) (* b (+ (* 2 (* a b)) (* 2 (* a (+ a (* -1 a))))))))
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ 1 (* -1 (/ a b))))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ (* -2 (/ (pow a 3) (pow b 2))) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b)))))
(/ (+ (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 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (* (pow b 3) (+ (* -2 a) (* -2 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -2 a) (* -1 (/ (+ (* -2 (/ (pow a 3) b)) (* 2 (* a (+ a (* -1 a))))) b)))))
(* -1 (/ (+ (* -1 (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))
Calls

6 calls:

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

simplify168.0ms (2.2%)

Memory
-1.3MiB live, 181.3MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04511516
115291369
261041335
084671269
Stop Event
iter limit
node limit
Counts
91 → 90
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* a b))
(/ 1/2 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(* a b)
(/ 1/2 a)
(* 2 (* a (pow b 3)))
(* a (+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3))))
(* a (+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b))))))))
(* (pow a 2) b)
(/ (PI) 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))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* -1 a)
(* a (- (/ b a) 1))
(/ -1/2 (* a b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(* -2 (* (pow a 3) b))
(* (pow a 3) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 3) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(* -1 (/ (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 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (* (pow a 3) (+ (* 2 b) (* 2 (/ (* b (+ b (* -1 b))) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (* b (+ b (* -1 b)))) (* 2 (/ (pow b 3) a))) a)) (* 2 b))))
(* -1 (/ (+ (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))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(- b a)
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(* b (+ (* -2 (pow a 3)) (* 2 (* a (* b (+ a (* -1 a)))))))
(* b (+ (* -2 (pow a 3)) (* b (+ (* 2 (* a b)) (* 2 (* a (+ a (* -1 a))))))))
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ 1 (* -1 (/ a b))))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ (* -2 (/ (pow a 3) (pow b 2))) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b)))))
(/ (+ (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 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (* (pow b 3) (+ (* -2 a) (* -2 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -2 a) (* -1 (/ (+ (* -2 (/ (pow a 3) b)) (* 2 (* a (+ a (* -1 a))))) b)))))
(* -1 (/ (+ (* -1 (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))
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 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) 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 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a))) a)) 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 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a)
(* b (PI))
(*.f64 (PI.f64) b)
(+ (* -1 (* a (PI))) (* b (PI)))
(*.f64 (PI.f64) (-.f64 b a))
b
(+ b (* -1 a))
(-.f64 b a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64)) b)
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 a) b)) b) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) b) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) b)) a (/.f64 #s(literal 1/2 binary64) b)) a)
(* a b)
(*.f64 a b)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(* 2 (* a (pow b 3)))
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64)) a)
(* a (+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3))))
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) a)
(* a (+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b))))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a b) #s(literal 0 binary64)) a (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64))) a)
(* (pow a 2) b)
(*.f64 (*.f64 a b) a)
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.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 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.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) b) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 b b) (PI.f64)) a) (*.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (*.f64 a a))
(* -1 (* a (PI)))
(*.f64 (neg.f64 (PI.f64)) a)
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(*.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) a)
(* -1 a)
(neg.f64 a)
(* a (- (/ b a) 1))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(/ -1/2 (* a b))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)) (/.f64 #s(literal 1/2 binary64) b)) a)
(* -2 (* (pow a 3) b))
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64)) b)
(* (pow a 3) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(*.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 #s(literal 0 binary64) a)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(*.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 2 binary64) #s(literal 0 binary64)) a)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (/ (PI) a))
(/.f64 (neg.f64 (PI.f64)) a)
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)) (neg.f64 a))
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (PI.f64) (*.f64 b (/.f64 b a)) (*.f64 (PI.f64) b)) a)) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)
(/.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (PI.f64))) (/.f64 (fma.f64 (PI.f64) (*.f64 b (/.f64 b a)) (*.f64 (PI.f64) b)) a)) 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 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (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 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b (*.f64 (/.f64 (PI.f64) a) b)) (*.f64 (PI.f64) b))) a)) (neg.f64 a))) (*.f64 a a))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(*.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(fma.f64 (/.f64 b a) a (neg.f64 a))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) a) (/.f64 #s(literal -1/2 binary64) b)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (*.f64 b (/.f64 b a))) a)) a) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))
(* -1 (* (pow a 3) (+ (* 2 b) (* 2 (/ (* b (+ b (* -1 b))) a)))))
(*.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 #s(literal 0 binary64) a)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (* b (+ b (* -1 b)))) (* 2 (/ (pow b 3) a))) a)) (* 2 b))))
(*.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 2 binary64) #s(literal 0 binary64)) a)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)) (neg.f64 a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (/.f64 (PI.f64) a) (*.f64 (neg.f64 b) (PI.f64))) a)) (neg.f64 a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) b) b (*.f64 (PI.f64) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) (neg.f64 a))) a)) (neg.f64 a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) 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 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b))) b)) 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 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b)) b)
(- b a)
(-.f64 b a)
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b)
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 b a)) a) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 a a)) b (/.f64 #s(literal -1/2 binary64) a)) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/.f64 (fma.f64 (*.f64 (-.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b) b (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 b a)) a)) b)
(* b (+ (* -2 (pow a 3)) (* 2 (* a (* b (+ a (* -1 a)))))))
(*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)) b)
(* b (+ (* -2 (pow a 3)) (* b (+ (* 2 (* a b)) (* 2 (* a (+ a (* -1 a))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) a #s(literal 0 binary64)) b (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -2 binary64))) b)
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)) (neg.f64 a))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(fma.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (neg.f64 (PI.f64)) a))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (neg.f64 (PI.f64)) a))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.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) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)) (*.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 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) b))) (*.f64 b b))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)
(* b (+ 1 (* -1 (/ a b))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) (/.f64 #s(literal 1/2 binary64) a))) b)
(* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 #s(literal 0 binary64) b)) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 3) (+ (* -2 (/ (pow a 3) (pow b 2))) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal -2 binary64) #s(literal 0 binary64)) b)) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b) b) a (/.f64 (PI.f64) b))
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (+.f64 (fma.f64 (PI.f64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (PI.f64)) (/.f64 (fma.f64 (PI.f64) (*.f64 a (/.f64 a b)) (*.f64 (PI.f64) a)) b)) b)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (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 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 a (*.f64 (/.f64 (PI.f64) b) a)) (*.f64 (PI.f64) a))) b)) (neg.f64 b))) (*.f64 b b))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)
(* -1 (* b (- (/ a b) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64)))
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 a b)) #s(literal -1 binary64) a) b) #s(literal 1 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(* -1 (* (pow b 3) (+ (* -2 a) (* -2 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 #s(literal 0 binary64) b)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (+ (* -2 a) (* -1 (/ (+ (* -2 (/ (pow a 3) b)) (* 2 (* a (+ a (* -1 a))))) b)))))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) a (/.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal -2 binary64) #s(literal 0 binary64)) (neg.f64 b))))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b) b) a (/.f64 (PI.f64) b)))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) (PI.f64) (*.f64 (PI.f64) (/.f64 (pow.f64 a #s(literal 3 binary64)) b))) b) (*.f64 (PI.f64) a)) b)) (neg.f64 b))

rewrite246.0ms (3.2%)

Memory
-10.3MiB live, 231.8MiB allocated; 108ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049259
071259
1249255
21901255
08423255
Stop Event
iter limit
node limit
iter limit
Counts
23 → 448
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))
(*.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 a b)) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (PI.f64) (*.f64 a b))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(*.f64 a b)
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (*.f64 a b) a)
(/.f64 (PI.f64) (-.f64 b a))
#s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) b)
Outputs
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (+.f64 a b))) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (+.f64 a b))) (/.f64 (PI.f64) (*.f64 a b)))
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(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 b) a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 b) a))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (neg.f64 b)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) b))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 a))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal 1/2 binary64) a)
(neg.f64 (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (+.f64 a b)) a) b)
(*.f64 (*.f64 (*.f64 a b) (-.f64 b a)) (*.f64 (+.f64 a b) #s(literal 2 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (+.f64 a b))) (-.f64 b a))
(*.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (+.f64 a b))) (*.f64 a b))
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)) a)
(*.f64 (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (+.f64 a b)) (-.f64 b a))
(*.f64 (*.f64 (neg.f64 b) a) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (+.f64 a b)))
(*.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (+.f64 a b)) (*.f64 (neg.f64 b) a))
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (+.f64 a b)) (*.f64 a b))
(*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (*.f64 a b)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
(*.f64 (*.f64 a b) (neg.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (+.f64 a b))))
(*.f64 (*.f64 a b) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (+.f64 a b)))
(*.f64 (-.f64 b a) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (+.f64 a b)))
(*.f64 a (neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a))))
(*.f64 a (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(*.f64 b (*.f64 a (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (+.f64 a b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (+.f64 a b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (neg.f64 (+.f64 a b)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (+.f64 a b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (+.f64 a b)) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (+.f64 a b)) (*.f64 a b)))
(*.f64 (*.f64 a a) b)
(*.f64 (*.f64 a b) a)
(*.f64 a (*.f64 a b))
(*.f64 b (*.f64 a a))
(fabs.f64 (*.f64 (neg.f64 b) (*.f64 a a)))
(fabs.f64 (*.f64 (*.f64 a 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))
(*.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 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (-.f64 b a))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (-.f64 b a))
(/.f64 (neg.f64 (PI.f64)) (-.f64 b a))
(/.f64 (PI.f64) (-.f64 b a))
(neg.f64 (/.f64 (PI.f64) (-.f64 b a)))
(+.f64 (/.f64 (cosh.f64 (log.f64 (PI.f64))) (-.f64 b a)) (/.f64 (sinh.f64 (log.f64 (PI.f64))) (-.f64 b a)))
#s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 b))
(/.f64 (PI.f64) b)
(neg.f64 (/.f64 (neg.f64 (PI.f64)) b))
(neg.f64 (/.f64 (PI.f64) (neg.f64 b)))
(+.f64 (/.f64 (cosh.f64 (log.f64 (PI.f64))) b) (/.f64 (sinh.f64 (log.f64 (PI.f64))) b))

eval120.0ms (1.6%)

Memory
43.9MiB live, 180.4MiB allocated; 27ms collecting garbage
Compiler

Compiled 25 792 to 2 567 computations (90% saved)

prune78.0ms (1%)

Memory
-54.4MiB live, 57.4MiB allocated; 11ms collecting garbage
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New7851786
Fresh01616
Picked145
Done055
Total78626812
Accuracy
100.0%
Counts
812 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.6%
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
55.2%
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(approx (* (* (* (+ a b) 2) b) (- b a)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
78.9%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
63.2%
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
70.1%
(/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
57.9%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
57.9%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
49.5%
#s(approx (/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
57.9%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b))
57.9%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) b))
57.9%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
49.2%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))
49.2%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
49.5%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
51.4%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
68.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
52.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) (*.f64 a (*.f64 (*.f64 a b) a))))
67.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
61.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
68.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a) (PI.f64)))
62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
68.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a)))
68.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
54.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
62.2%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
Compiler

Compiled 2 405 to 786 computations (67.3% saved)

regimes51.0ms (0.7%)

Memory
20.2MiB live, 62.2MiB allocated; 9ms collecting garbage
Counts
55 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (*.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) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.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) (*.f64 a 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 b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
(/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) 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) a) (/.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) b) a))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) b))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) (*.f64 a (*.f64 (*.f64 a b) a))))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
(/.f64 #s(approx (* (/ (PI) 2) (- b a)) (*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a b))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(approx (* (* (* (+ a b) 2) b) (- b a)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a b)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 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 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.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)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 b a) b) b) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 a b)))) b)) b) b))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 a b) (*.f64 a b))))
Outputs
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
Calls

3 calls:

21.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
14.0ms
b
14.0ms
a
Results
AccuracySegmentsBranch
93.0%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)))
96.9%3a
98.7%3b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes18.0ms (0.2%)

Memory
-8.9MiB live, 33.2MiB allocated; 5ms collecting garbage
Counts
48 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (*.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) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.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) (*.f64 a 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 b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
(/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) 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) a) (/.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) b) a))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) b))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) (*.f64 a (*.f64 (*.f64 a b) a))))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
(/.f64 #s(approx (* (/ (PI) 2) (- b a)) (*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a b))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(approx (* (* (* (+ a b) 2) b) (- b a)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a b)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 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 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
Outputs
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
Calls

1 calls:

12.0ms
b
Results
AccuracySegmentsBranch
98.1%3b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes56.0ms (0.7%)

Memory
10.3MiB live, 55.0MiB allocated; 5ms collecting garbage
Counts
45 → 5
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (*.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) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.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) (*.f64 a 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 b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
(/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) 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) a) (/.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) b) a))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) b))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) (*.f64 a (*.f64 (*.f64 a b) a))))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
(/.f64 #s(approx (* (/ (PI) 2) (- b a)) (*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a b))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(approx (* (* (* (+ a b) 2) b) (- b a)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a b)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 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)))
Outputs
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
Calls

2 calls:

42.0ms
a
11.0ms
b
Results
AccuracySegmentsBranch
95.4%4a
97.5%5b
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes54.0ms (0.7%)

Memory
-10.5MiB live, 48.2MiB allocated; 7ms collecting garbage
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (*.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) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.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) (*.f64 a 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 b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
(/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) 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) a) (/.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) b) a))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) b))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) (*.f64 a (*.f64 (*.f64 a b) a))))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
(/.f64 #s(approx (* (/ (PI) 2) (- b a)) (*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a b))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(approx (* (* (* (+ a b) 2) b) (- b a)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a b)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
Outputs
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b))
(*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
Calls

3 calls:

31.0ms
a
11.0ms
b
10.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
89.4%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)))
92.9%3a
93.7%4b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes12.0ms (0.2%)

Memory
25.7MiB live, 25.7MiB allocated; 0ms collecting garbage
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (*.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) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.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) (*.f64 a 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 b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
(/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) 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) a) (/.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) b) a))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) b))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) (*.f64 a (*.f64 (*.f64 a b) a))))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 a a))))
(/.f64 #s(approx (* (/ (PI) 2) (- b a)) (*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a b))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(approx (* (* (* (+ a b) 2) b) (- b a)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
Outputs
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
Calls

1 calls:

10.0ms
a
Results
AccuracySegmentsBranch
92.8%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.2%)

Memory
-20.1MiB live, 24.1MiB allocated; 5ms collecting garbage
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (*.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) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.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) (*.f64 a 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 b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
(/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) 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) a) (/.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) b) a))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) b))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) (*.f64 a (*.f64 (*.f64 a b) a))))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b))
(/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
Calls

1 calls:

10.0ms
a
Results
AccuracySegmentsBranch
92.1%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.2%)

Memory
35.0MiB live, 35.0MiB allocated; 0ms collecting garbage
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (*.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) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.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) (*.f64 a 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 b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
(/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) 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) a) (/.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) b) a))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) b))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
(/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))
Calls

2 calls:

6.0ms
a
6.0ms
b
Results
AccuracySegmentsBranch
91.6%3b
92.1%3a
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes12.0ms (0.2%)

Memory
-18.2MiB live, 26.6MiB allocated; 3ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (*.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) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.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) (*.f64 a 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 b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
Calls

2 calls:

5.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
88.5%3b
90.3%3a
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes15.0ms (0.2%)

Memory
-5.7MiB live, 38.3MiB allocated; 5ms collecting garbage
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (*.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) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.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) (*.f64 a 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 b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
Calls

3 calls:

6.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
4.0ms
b
4.0ms
a
Results
AccuracySegmentsBranch
80.1%3b
68.8%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)))
82.1%3a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (*.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) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.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) (*.f64 a 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 b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (/ (* (/ -1/2 b) (- (* (/ (PI) b) a) (PI))) b) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
Calls

1 calls:

3.0ms
a
Results
AccuracySegmentsBranch
82.1%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (/ (* (/ (- b a) a) (PI)) (* (* (* (+ a b) 2) b) (- b a))) (*.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) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
Calls

1 calls:

2.0ms
a
Results
AccuracySegmentsBranch
81.2%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
Calls

3 calls:

1.0ms
b
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)))
Results
AccuracySegmentsBranch
67.9%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
67.9%1b
67.9%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes29.0ms (0.4%)

Memory
-54.4MiB live, 6.4MiB allocated; 16ms collecting garbage
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 (*.f64 (PI.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 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
Calls

3 calls:

1.0ms
a
1.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
1.0ms
b
Results
AccuracySegmentsBranch
61.8%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)))
61.8%1a
61.8%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch54.0ms (0.7%)

Memory
39.5MiB live, 85.2MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
1.4180901957034756e+57
1.1604452643195947e+67
18.0ms
-5.889576788313905e+86
-2.399219719426836e+79
Samples
36.0ms304×0valid
Compiler

Compiled 896 to 627 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 8.0ms (41.9% of total)
ival-mult: 7.0ms (36.7% of total)
ival-sub: 2.0ms (10.5% of total)
ival-pi: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.7%)

Memory
7.2MiB live, 54.4MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.4180901957034756e+57
1.1604452643195947e+67
50.0ms
-9.455035519674054e+70
-7.560007822122568e+65
Samples
44.0ms144×0valid
Compiler

Compiled 860 to 609 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 35.0ms (86.5% of total)
ival-div: 4.0ms (9.9% of total)
ival-pi: 1.0ms (2.5% of total)
ival-sub: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch79.0ms (1%)

Memory
1.1MiB live, 141.8MiB allocated; 15ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
4.5284906267250774e+98
1.202284464795038e+109
9.0ms
1.2376575577163728e-103
1.7568545100034502e-103
25.0ms
-1.5652116473427147e-96
-4.012637232654198e-109
32.0ms
-1.5402129508983496e+88
-5.889576788313905e+86
Samples
57.0ms368×0valid
Compiler

Compiled 1 154 to 818 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 14.0ms (46% of total)
ival-mult: 11.0ms (36.1% of total)
ival-sub: 3.0ms (9.9% of total)
ival-pi: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.5%)

Memory
-12.7MiB live, 77.9MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.1750020945442926e-133
1.1185674397024888e-132
16.0ms
-0.030670431828834492
-0.0007670503524785774
Samples
20.0ms208×0valid
Compiler

Compiled 702 to 502 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 5.0ms (37.7% of total)
ival-mult: 5.0ms (37.7% of total)
ival-sub: 2.0ms (15.1% of total)
ival-pi: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1750020945442926e-133
1.1185674397024888e-132
1.0ms
-0.030670431828834492
-0.0007670503524785774
Compiler

Compiled 726 to 514 computations (29.2% saved)

bsearch40.0ms (0.5%)

Memory
-34.9MiB live, 23.6MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1750020945442926e-133
1.1185674397024888e-132
37.0ms
-0.030670431828834492
-0.0007670503524785774
Samples
8.0ms96×0valid
Compiler

Compiled 750 to 543 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (49% of total)
ival-mult: 2.0ms (32.6% of total)
ival-sub: 1.0ms (16.3% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1750020945442926e-133
1.1185674397024888e-132
1.0ms
-0.030670431828834492
-0.0007670503524785774
Compiler

Compiled 750 to 543 computations (27.6% saved)

bsearch20.0ms (0.3%)

Memory
27.8MiB live, 27.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.1185674397024888e-132
1.9026263861344428e-129
1.0ms
-0.030670431828834492
-0.0007670503524785774
Samples
11.0ms128×0valid
Compiler

Compiled 924 to 665 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (37.8% of total)
ival-mult: 3.0ms (37.8% of total)
ival-pi: 1.0ms (12.6% of total)
ival-sub: 1.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Memory
-24.7MiB live, 21.4MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.1185674397024888e-132
1.9026263861344428e-129
1.0ms
-0.030670431828834492
-0.0007670503524785774
Samples
5.0ms64×0valid
Compiler

Compiled 924 to 665 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (50.2% of total)
ival-sub: 1.0ms (25.1% of total)
ival-mult: 1.0ms (25.1% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1185674397024888e-132
1.9026263861344428e-129
1.0ms
-0.030670431828834492
-0.0007670503524785774
Compiler

Compiled 924 to 665 computations (28% saved)

bsearch2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1185674397024888e-132
1.9026263861344428e-129
1.0ms
-0.030670431828834492
-0.0007670503524785774
Compiler

Compiled 924 to 665 computations (28% saved)

simplify57.0ms (0.8%)

Memory
24.1MiB live, 69.7MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01451025
12061003
23981003
311641003
452961003
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -74999999999999994195555795510051689887997361812823676994786836867348172156311892393984 binary64)) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) #s(approx (/ (PI) (- b a)) (/.f64 (PI.f64) b))) (if (<=.f64 b #s(literal 148000000000000007852208720556023513687193633212057406930944 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))))
(if (<=.f64 b #s(literal -5099999999999999986786440329326884553820952701619966068458091247042560 binary64)) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))) (if (<=.f64 b #s(literal 148000000000000007852208720556023513687193633212057406930944 binary64)) (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a))) (/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (PI.f64)) (-.f64 b a))))
(if (<=.f64 b #s(literal -15000000000000000274674399234447605764028691716186029508788033584910037905067417029050368 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b)) (if (<=.f64 b #s(literal -4283642677760811/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (if (<=.f64 b #s(literal 5446933336589573/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #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) b)) a)) (if (<=.f64 b #s(literal 49999999999999998440692023514963491717685634530639844703322105876395762568335322697627001197697942402629632 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))))))
(if (<=.f64 a #s(literal -5764607523034235/4611686018427387904 binary64)) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))) (if (<=.f64 a #s(literal 7032675134151867/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b)) (*.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))))
(if (<=.f64 a #s(literal -5764607523034235/4611686018427387904 binary64)) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a))) (if (<=.f64 a #s(literal 7032675134151867/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b)) (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))))
(if (<=.f64 a #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))) (if (<=.f64 a #s(literal 7032675134151867/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b)) (/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))))
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(if (<=.f64 a #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))) (if (<=.f64 a #s(literal 5931322245600385/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))))
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(if (<=.f64 a #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))) (if (<=.f64 a #s(literal 3621228318366551/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
Outputs
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(if (<=.f64 a #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))) (if (<=.f64 a #s(literal 7032675134151867/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) b)) (/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))))
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(if (<=.f64 a #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))) (if (<=.f64 a #s(literal 7032675134151867/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b))) (/.f64 #s(approx (* (/ (- b a) a) (PI)) (neg.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b) (-.f64 b a)))))
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(if (<=.f64 a #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))) (if (<=.f64 a #s(literal 3621228318366551/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))))
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(if (<=.f64 a #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))) (if (<=.f64 a #s(literal 3621228318366551/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))))
(if (or (<=.f64 a #s(literal -3530822107858469/144115188075855872 binary64)) (not (<=.f64 a #s(literal 3621228318366551/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)))) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))))
(if (<=.f64 a #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))) (if (<=.f64 a #s(literal 3621228318366551/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))))
(if (or (<=.f64 a #s(literal -3530822107858469/144115188075855872 binary64)) (not (<=.f64 a #s(literal 3621228318366551/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)))) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))

derivations1.2s (15.6%)

Memory
-36.8MiB live, 928.7MiB allocated; 148ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050276
080276
1306270
22700270
08579270
056277
084277
1304269
22402269
08264269
04871741
116431579
262131548
080771485
01554
02654
111250
298050
0891250
02911145
19051099
235331055
085221011
04721838
115951643
260521609
080521555
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 003 to 136 computations (86.4% saved)

preprocess81.0ms (1.1%)

Memory
25.1MiB live, 68.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 2 048 to 302 computations (85.3% saved)

end0.0ms (0%)

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

Profiling

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