NMSE Section 6.1 mentioned, B

Time bar (total: 7.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze97.0ms (1.3%)

Memory
14.3MiB live, 172.3MiB allocated
Algorithm
1×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)

sample1.3s (16.6%)

Memory
-2.2MiB live, 1 528.8MiB allocated
Samples
941.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 746.0ms
ival-div: 338.0ms (45.3% of total)
ival-mult: 244.0ms (32.7% of total)
ival-sub: 84.0ms (11.3% of total)
ival-pi: 62.0ms (8.3% of total)
exact: 9.0ms (1.2% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain233.0ms (3.1%)

Memory
12.7MiB live, 253.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
431(-8.968912190819659e+161 -0.2255209383603811)6(-1.2059972285924128e+155 1.1784813664555056e-9)(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
150-0-(-.f64 (*.f64 b b) (*.f64 a a))
82(-3.7040341401143e+161 -2.1672121154682503e-295)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*u380
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue150
↳(*.f64 b b)overflow69
↳(*.f64 a a)overflow69
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o100
↳(*.f64 b b)overflow69
↳(*.f64 a a)overflow69
↳(-.f64 (*.f64 b b) (*.f64 a a))overflow123
Confusion
Predicted +Predicted -
+608
-3185
Precision
0.9523809523809523
Recall
0.8823529411764706
Confusion?
Predicted +Predicted MaybePredicted -
+6008
-30185
Precision?
0.9523809523809523
Recall?
0.8823529411764706
Freqs
test
numberfreq
0193
163
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
59.0ms512×0valid
Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 17.0ms (41.8% of total)
ival-div: 14.0ms (34.4% of total)
ival-sub: 6.0ms (14.8% of total)
ival-pi: 2.0ms (4.9% of total)
exact: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess151.0ms (2%)

Memory
8.0MiB live, 161.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033109
111595
241895
3211195
4653595
01521
02621
14619
210819
339318
4156017
5425317
0831717
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 b a)))
Symmetry

(sort a b)

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.6%
(*.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)

simplify154.0ms (2%)

Memory
-13.0MiB live, 182.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01577
02677
14673
210873
339372
4156071
5425371
0831771
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
#s(literal 1 binary64)
(-.f64 (*.f64 b b) (*.f64 a a))
(*.f64 b b)
b
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))
#s(literal 1 binary64)
(-.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (-.f64 b a) (+.f64 a b))
(*.f64 b b)
b
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)

localize39.0ms (0.5%)

Memory
8.6MiB live, 46.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.18197250976844204
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy1.0336814099921638
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy3.4960731083020584
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy8.890639775060015
(*.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
25.0ms256×0valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (43.1% of total)
ival-mult: 6.0ms (37% of total)
ival-sub: 2.0ms (12.3% of total)
ival-pi: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
6 → 52
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)
(-.f64 (*.f64 b b) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(pow b 2)
(+ (* -1 (pow a 2)) (pow b 2))
(/ 1 (pow b 2))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(- (pow b 2) (pow a 2))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
Calls

6 calls:

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

simplify186.0ms (2.4%)

Memory
-8.7MiB live, 147.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911138
17681118
222931080
363931080
082151013
Stop Event
1×iter limit
1×node limit
Counts
52 → 52
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(pow b 2)
(+ (* -1 (pow a 2)) (pow b 2))
(/ 1 (pow b 2))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(- (pow b 2) (pow a 2))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) a)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64)) a)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(* 1/2 (/ (PI) (pow b 2)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a) (PI.f64) (/.f64 (PI.f64) (*.f64 b b))) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) a) a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) a) a (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 a a)))
(pow b 2)
(*.f64 b b)
(+ (* -1 (pow a 2)) (pow b 2))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64)) (*.f64 b b))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 8 binary64))) a (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 a #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) a (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (*.f64 a a))
(* -1/2 (/ (PI) (pow a 2)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 b b) (PI.f64)) a) a) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64)) a))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (+.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64)))) a))
(* -1 (pow a 2))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (*.f64 a a))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a)
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) a) b) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) a)) a)) (*.f64 a a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) b)) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) b)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(*.f64 (fma.f64 (*.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) b) (PI.f64) (/.f64 (/.f64 (PI.f64) a) a)) #s(literal -1/2 binary64))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) b) b (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b) (/.f64 (/.f64 (PI.f64) a) a)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) a) (PI.f64) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 8 binary64))) b) b (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64)))) (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 b b)))
(- (pow b 2) (pow a 2))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a)
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (neg.f64 (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) b (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 b #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))) (*.f64 b b))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) a) a (PI.f64)) b) b) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (PI.f64)))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (+.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (PI.f64)) (*.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) a) a) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) b)) b)) (*.f64 b b))

rewrite193.0ms (2.5%)

Memory
25.5MiB live, 216.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01554
02650
112450
2112750
0924250
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 651
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)
(-.f64 (*.f64 b b) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 a a (*.f64 b b)))
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (PI.f64))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (neg.f64 (PI.f64))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (fma.f64 a a (*.f64 b b)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (+.f64 a b) (*.f64 a b))))
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.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 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) b) (/.f64 (-.f64 b a) a))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (-.f64 b a) b) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) a))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 b a)))
(*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
(*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 b a) a) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) b))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))
(*.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (PI.f64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) a) (/.f64 (-.f64 b a) b))
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (PI.f64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b)))))
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b)))))
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.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 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 a b) (*.f64 a b)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(*.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b)) (/.f64 (+.f64 a b) (*.f64 a b)))))
(*.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b)) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))))
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b)) (*.f64 a b))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 (+.f64 a b) (*.f64 a b)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (pow.f64 (PI.f64) #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))))
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(neg.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(fma.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a)))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))

eval140.0ms (1.8%)

Memory
-2.3MiB live, 153.6MiB allocated
Compiler

Compiled 20 656 to 2 446 computations (88.2% saved)

prune53.0ms (0.7%)

Memory
-22.5MiB live, 98.8MiB allocated
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New67722699
Fresh000
Picked101
Done000
Total67822700
Accuracy
99.9%
Counts
700 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.2%
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
84.3%
(fma.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))))
78.7%
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
78.6%
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (+.f64 a b) (-.f64 b a)))
84.3%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
86.0%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
78.6%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
80.4%
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (*.f64 a b))
▶78.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
84.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))))))
▶88.2%
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
88.2%
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
▶88.2%
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
74.7%
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))))
84.3%
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
▶78.2%
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
54.4%
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
44.3%
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
53.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
44.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
53.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
▶60.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 046 to 706 computations (32.5% saved)

simplify120.0ms (1.6%)

Memory
29.6MiB live, 217.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 b a) a)
cost-diff0
(/.f64 (/.f64 (-.f64 b a) a) b)
cost-diff0
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
cost-diff8
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
cost-diff0
(*.f64 (+.f64 a b) (-.f64 b a))
cost-diff0
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
cost-diff4
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
cost-diff6
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
cost-diff0
(-.f64 b a)
cost-diff0
(*.f64 (-.f64 b a) (PI.f64))
cost-diff2
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
cost-diff8
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (-.f64 b a) a)
cost-diff0
(/.f64 (/.f64 (-.f64 b a) a) b)
cost-diff2
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
cost-diff6
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046349
075345
1165341
2638341
33916289
08222289
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(PI.f64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(literal 1/2 binary64)
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
b
a
(PI.f64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 a b)
#s(literal 2 binary64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
a
b
(-.f64 b a)
(*.f64 a b)
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(+.f64 a b)
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
Outputs
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) b) a)) (PI.f64))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(PI.f64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(literal 1/2 binary64)
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) b) a)) (PI.f64))
(*.f64 (-.f64 b a) (PI.f64))
(*.f64 (PI.f64) (-.f64 b a))
(-.f64 b a)
b
a
(PI.f64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) b) a)) (-.f64 b a))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a b) b)) (*.f64 (-.f64 b a) a))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 a b)
#s(literal 2 binary64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) b) a)) (PI.f64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (-.f64 b a))
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
a
b
(-.f64 b a)
(*.f64 a b)
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) b) a)) (PI.f64))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) a) (/.f64 (-.f64 b a) b))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(+.f64 a b)
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)

localize425.0ms (5.6%)

Memory
-106.6MiB live, 329.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.22265625
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy0.23046875
(/.f64 (PI.f64) (+.f64 a b))
accuracy0.23046875
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
accuracy7.100297395546048
(/.f64 (/.f64 (-.f64 b a) a) b)
accuracy0.22265625
(*.f64 (PI.f64) (-.f64 b a))
accuracy0.6383746747185355
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
accuracy1.0519303172044492
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
accuracy12.256476339340997
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
accuracy0.22265625
(*.f64 (-.f64 b a) (PI.f64))
accuracy0.4123540279152276
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
accuracy1.051862379833509
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy12.393806106856518
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
accuracy0.1955577831160079
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
accuracy0.3765523430927551
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
accuracy8.874154864654527
(*.f64 (*.f64 a a) b)
accuracy19.706130100844984
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
accuracy0.203125
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
accuracy0.20703125
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))
accuracy0.23046875
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
accuracy7.100297395546048
(/.f64 (/.f64 (-.f64 b a) a) b)
Samples
366.0ms256×0valid
Compiler

Compiled 341 to 45 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 338.0ms
ival-mult: 303.0ms (89.5% of total)
ival-div: 29.0ms (8.6% of total)
ival-sub: 4.0ms (1.2% of total)
ival-pi: 1.0ms (0.3% of total)
ival-add: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series63.0ms (0.8%)

Memory
-31.9MiB live, 97.3MiB allocated
Counts
23 → 174
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(PI.f64)
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (+.f64 a b) (-.f64 b a))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 (*.f64 a a) b)
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (PI.f64) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 a b))
Outputs
(/ 1 (* a b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ 1/2 (* a (pow b 3)))
(/ (+ (* -1/2 (/ (* a (+ b (* -1 b))) (pow b 5))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* a (- (* a (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* a (- (* a (- (+ (* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (pow b 7))) (/ (* (+ b (* -1 b)) (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (pow b 2))))) (* 1/2 (/ 1 (pow b 5)))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
b
(+ b (* -1 a))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(pow b 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(/ (PI) (* a b))
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(* (pow a 2) b)
(* 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))))))))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
-1
(- (/ b a) 1)
(/ -1/2 (* (pow a 3) b))
(/ (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3)))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))))) (* 1/2 (/ 1 b))) (pow a 3))
(* -1 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* -1 a)
(* a (- (/ b a) 1))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* -1 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* -1 (pow a 2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (/ (PI) (* a b)))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(* -2 (* (pow a 3) b))
(* (pow a 3) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 3) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (/ (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3)))
(* -1 (/ (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* 1/2 (* b (+ b (* -1 b))))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(* -1 (* (pow a 3) (+ (* 2 b) (* 2 (/ (* b (+ b (* -1 b))) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (* b (+ b (* -1 b)))) (* 2 (/ (pow b 3) a))) a)) (* 2 b))))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ (- (/ b a) 1) b)
(/ (- (* -1/2 (/ (* b (+ a (* -1 a))) (pow a 5))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (- (* b (- (* b (- (* -1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 7))) (/ (* (+ a (* -1 a)) (+ (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7))) (* 1/2 (/ 1 (pow a 5))))) (pow a 2))))) (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(- b a)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(* 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 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* b (- (/ 1 a) (/ 1 b)))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (pow b 3))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* -1/2 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))))) (pow b 3))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ 1 (* -1 (/ a b))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ (* -2 (/ (pow a 3) (pow b 2))) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b)))))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (/ (- (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (/ (- (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ (* a (+ a (* -1 a))) (pow b 3)))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* a (+ a (* -1 a)))) (* 1/2 (/ (+ (* a (pow (+ a (* -1 a)) 2)) (pow a 3)) b))) (pow b 3))) (* -1/2 (/ a (pow b 2)))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) 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)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
a
@0
((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ 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) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))) (* (- b a) (PI)) (- b a) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (* (* a b) 2) (* (+ a b) (- b a))) (* (PI) (- b a)) (/ (PI) (+ a b)))
11.0ms
b
@-inf
((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ 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) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))) (* (- b a) (PI)) (- b a) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (* (* a b) 2) (* (+ a b) (- b a))) (* (PI) (- b a)) (/ (PI) (+ a b)))
9.0ms
b
@0
((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ 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) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))) (* (- b a) (PI)) (- b a) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (* (* a b) 2) (* (+ a b) (- b a))) (* (PI) (- b a)) (/ (PI) (+ a b)))
8.0ms
a
@inf
((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ 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) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))) (* (- b a) (PI)) (- b a) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (* (* a b) 2) (* (+ a b) (- b a))) (* (PI) (- b a)) (/ (PI) (+ a b)))
5.0ms
b
@inf
((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ 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) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))) (* (- b a) (PI)) (- b a) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (* (* a b) 2) (* (+ a b) (- b a))) (* (PI) (- b a)) (/ (PI) (+ a b)))

simplify149.0ms (2%)

Memory
31.8MiB live, 223.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08443240
126462768
089792651
Stop Event
1×iter limit
1×node limit
Counts
174 → 173
Calls
Call 1
Inputs
(/ 1 (* a b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ 1/2 (* a (pow b 3)))
(/ (+ (* -1/2 (/ (* a (+ b (* -1 b))) (pow b 5))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* a (- (* a (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/ (+ (* a (- (* a (- (+ (* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (pow b 7))) (/ (* (+ b (* -1 b)) (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (pow b 2))))) (* 1/2 (/ 1 (pow b 5)))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
b
(+ b (* -1 a))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(pow b 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(/ (PI) (* a b))
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(* (pow a 2) b)
(* 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))))))))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
-1
(- (/ b a) 1)
(/ -1/2 (* (pow a 3) b))
(/ (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3)))) (* 1/2 (/ 1 b))) (pow a 3))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))))) (* 1/2 (/ 1 b))) (pow a 3))
(* -1 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* -1 a)
(* a (- (/ b a) 1))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* -1 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* -1 (pow a 2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (/ (PI) (* a b)))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(* -2 (* (pow a 3) b))
(* (pow a 3) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))
(* (pow a 3) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (/ (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3)))
(* -1 (/ (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* 1/2 (* b (+ b (* -1 b))))) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (pow a 3)))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(* -1 (* (pow a 3) (+ (* 2 b) (* 2 (/ (* b (+ b (* -1 b))) a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (* b (+ b (* -1 b)))) (* 2 (/ (pow b 3) a))) a)) (* 2 b))))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ (- (/ b a) 1) b)
(/ (- (* -1/2 (/ (* b (+ a (* -1 a))) (pow a 5))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(/ (- (* b (- (* b (- (* -1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 7))) (/ (* (+ a (* -1 a)) (+ (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7))) (* 1/2 (/ 1 (pow a 5))))) (pow a 2))))) (+ (* 1/2 (/ 1 (pow a 5))) (* 1/2 (/ (pow (+ a (* -1 a)) 2) (pow a 7)))))) (* 1/2 (/ (+ a (* -1 a)) (pow a 5))))) (* 1/2 (/ 1 (pow a 3)))) b)
(- b a)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(* 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 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* b (- (/ 1 a) (/ 1 b)))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (pow b 3))
(/ (+ (* -1/2 (/ (* a (+ a (* -1 a))) (pow b 3))) (+ (* -1/2 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))))) (pow b 3))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ 1 (* -1 (/ a b))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ (* -2 (/ (pow a 3) (pow b 2))) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b)))))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (/ (- (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (/ (- (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ (* a (+ a (* -1 a))) (pow b 3)))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* a (+ a (* -1 a)))) (* 1/2 (/ (+ (* a (pow (+ a (* -1 a)) 2)) (pow a 3)) b))) (pow b 3))) (* -1/2 (/ a (pow b 2)))) (* 1/2 (/ 1 a))) (pow b 3)))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) 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)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
Outputs
(/ 1 (* a b))
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
(* 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 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ 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))
(/ 1/2 (* a (pow b 3)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) a)
(/ (+ (* -1/2 (/ (* a (+ b (* -1 b))) (pow b 5))) (* 1/2 (/ 1 (pow b 3)))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64)))) a)
(/ (+ (* a (- (* a (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a)
(/ (+ (* a (- (* a (- (+ (* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (pow b 7))) (/ (* (+ b (* -1 b)) (- (* 1/2 (/ 1 (pow b 5))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (pow b 2))))) (* 1/2 (/ 1 (pow b 5)))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 7))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 5))))) (* 1/2 (/ 1 (pow b 3)))) a)
(/.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64)))) b) #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))))) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) 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)
(* 2 (/ (* a (pow b 2)) (PI)))
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 a (/.f64 b (PI.f64)) (/.f64 (*.f64 b b) (PI.f64))))
(* a (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) a)
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(*.f64 (pow.f64 b #s(literal 3 binary64)) a)
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(*.f64 (fma.f64 (*.f64 (neg.f64 a) a) b (pow.f64 b #s(literal 3 binary64))) a)
(pow b 2)
(*.f64 b b)
(+ (* a (+ b (* -1 b))) (pow b 2))
(*.f64 b b)
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -2 binary64)) a (/.f64 (PI.f64) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -2 binary64))) a (/.f64 (PI.f64) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64)) a (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -2 binary64))) a (/.f64 (PI.f64) b)) a)
(* 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)))
(fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* 2 (* a (pow b 3)))
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64)) a)
(* a (+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3))))
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64)) a)
(* a (+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b))))))))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 a b)) a (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64))) a)
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(fma.f64 (neg.f64 a) (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (fma.f64 (PI.f64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 (neg.f64 (PI.f64)) b) b)) a (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (/.f64 (neg.f64 (PI.f64)) b) b)) a (/.f64 (PI.f64) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a)
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (/.f64 b a) a) (/.f64 (PI.f64) b)))) (*.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 (/.f64 (PI.f64) a) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (/.f64 b a) a) (/.f64 (PI.f64) b)))) (*.f64 a 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 (* (pow a 3) b))
(/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b))
(/ (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (pow a 3))
(/.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3)))) (* 1/2 (/ 1 b))) (pow a 3))
(/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(/ (- (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (* b (+ b (* -1 b))) (pow a 3))) (* -1/2 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))))) (* 1/2 (/ 1 b))) (pow a 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (/.f64 b a) a)) (/.f64 #s(literal -1/2 binary64) b)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* a (PI)))
(*.f64 (neg.f64 (PI.f64)) a)
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(*.f64 (fma.f64 (PI.f64) (/.f64 b a) (neg.f64 (PI.f64))) a)
(* -1 a)
(neg.f64 a)
(* a (- (/ b a) 1))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(* 2 (/ (* (pow a 2) b) (PI)))
(*.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 b (PI.f64)) (/.f64 b a) (/.f64 b (PI.f64)))) (*.f64 a a))
(* -1 (* (pow a 3) b))
(*.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) b)
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(*.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) b)
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) a) (neg.f64 b)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (pow a 2))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 0 binary64)) #s(literal 1 binary64)) a) a)
(* -1 (/ (PI) (* a b)))
(/.f64 (PI.f64) (*.f64 (neg.f64 b) a))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/.f64 (+.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/.f64 (+.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (PI.f64) a)) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 3 binary64))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) a) (/.f64 b a) (/.f64 (neg.f64 (PI.f64)) a))) a)
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 b a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (*.f64 b (/.f64 (/.f64 b a) a)) (PI.f64)))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 b a) (*.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (*.f64 b (/.f64 (/.f64 b a) a)) (PI.f64)))) 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))))
(fma.f64 (*.f64 #s(literal -2 binary64) b) (pow.f64 a #s(literal 3 binary64)) #s(literal 0 binary64))
(* (pow a 3) (+ (* -2 b) (+ (* 2 (/ (* b (+ b (* -1 b))) a)) (* 2 (/ (pow b 3) (pow a 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (fma.f64 #s(literal -2 binary64) b #s(literal 0 binary64))) (pow.f64 a #s(literal 3 binary64)))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
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(/.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 a b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) b) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 a b) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)))) b)
(* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))
(*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 2 binary64)) a)
(* (pow b 3) (+ (* -2 (/ (pow a 3) (pow b 2))) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (pow.f64 a #s(literal 3 binary64)) b) (fma.f64 #s(literal 2 binary64) a #s(literal 0 binary64))) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/.f64 (+.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) b) (*.f64 (neg.f64 (PI.f64)) a)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (PI.f64)) (fma.f64 (*.f64 (neg.f64 a) a) (/.f64 (PI.f64) (*.f64 b b)) (*.f64 (PI.f64) (/.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 (fma.f64 (*.f64 (PI.f64) (/.f64 a b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 a (*.f64 (PI.f64) (/.f64 a b))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (pow b 3)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (pow.f64 b #s(literal 3 binary64))))
(* -1 (/ (- (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ (* a (+ a (* -1 a))) (pow b 3)))) (* 1/2 (/ 1 a))) (pow b 3)))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 (pow.f64 b #s(literal 3 binary64))))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* a (+ a (* -1 a)))) (* 1/2 (/ (+ (* a (pow (+ a (* -1 a)) 2)) (pow a 3)) b))) (pow b 3))) (* -1/2 (/ a (pow b 2)))) (* 1/2 (/ 1 a))) (pow b 3)))
(/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (/.f64 a b) b) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) b) #s(literal 1/2 binary64) #s(literal 0 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 (pow.f64 b #s(literal 3 binary64))))
(* -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 (-.f64 (/.f64 a b) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 (pow.f64 b #s(literal 3 binary64)) a)
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (neg.f64 (-.f64 a (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (/.f64 a b) #s(literal 0 binary64)) b)) b) b)
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) #s(literal -1 binary64) (/.f64 (PI.f64) a)) b)
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) (*.f64 (PI.f64) #s(literal -2 binary64))) (neg.f64 b)) (/.f64 (PI.f64) a)) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) (*.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) a)) b) #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -2 binary64))) (neg.f64 b)) (/.f64 (PI.f64) a)) (neg.f64 b))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(/.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 a b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 a (*.f64 (PI.f64) (/.f64 a b))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) a)) (neg.f64 b))) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) (PI.f64)) #s(literal -1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (neg.f64 b))
(* -1 (* (pow b 3) (+ (* -2 a) (* -2 (/ (* a (+ a (* -1 a))) b)))))
(neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) a)))
(* -1 (* (pow b 3) (+ (* -2 a) (* -1 (/ (+ (* -2 (/ (pow a 3) b)) (* 2 (* a (+ a (* -1 a))))) b)))))
(*.f64 (neg.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)) (neg.f64 b)))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) b) (*.f64 (neg.f64 (PI.f64)) a)) (neg.f64 b)) (PI.f64)) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) b) (*.f64 (*.f64 (neg.f64 a) a) (PI.f64))) (neg.f64 b)) (*.f64 (PI.f64) a)) (neg.f64 b)) (PI.f64)) (neg.f64 b))

rewrite240.0ms (3.2%)

Memory
7.5MiB live, 252.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046259
075253
1332213
23222213
08446213
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 833
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(PI.f64)
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (-.f64 b a) (PI.f64))
(-.f64 b a)
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
(*.f64 (+.f64 a b) (-.f64 b a))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 (*.f64 a a) b)
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (PI.f64) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 a b))
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (/.f64 (neg.f64 (-.f64 b a)) a)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 b a) a)) #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) 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 b a) (-.f64 b a)) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (/.f64 (/.f64 (neg.f64 (-.f64 b a)) a) b) (pow.f64 (neg.f64 (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 b a) a) (/.f64 (pow.f64 b #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) a) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal -1 binary64)))
(*.f64 (-.f64 b a) (/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 b a) b)))
(pow.f64 (*.f64 (*.f64 (-.f64 b a) b) (/.f64 a (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 b a) b) (/.f64 (-.f64 b a) a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 b (/.f64 a (-.f64 b a))) (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b a) (*.f64 (-.f64 b a) b)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 b a) (*.f64 (-.f64 b a) b)) (/.f64 (/.f64 b a) (*.f64 (-.f64 b a) b)) (fma.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 b a) (*.f64 (-.f64 b a) b)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 b a) (*.f64 (-.f64 b a) b)) (*.f64 (*.f64 (-.f64 b a) b) #s(literal 1 binary64))) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) (-.f64 b a)) b)
(/.f64 (*.f64 (/.f64 (neg.f64 (-.f64 b a)) a) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) (neg.f64 b))
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) b)
(/.f64 (*.f64 (-.f64 b a) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) (*.f64 a b))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1 binary64)) (-.f64 b a))
(/.f64 (*.f64 (/.f64 (neg.f64 (-.f64 b a)) a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) #s(literal 1 binary64)) (*.f64 (-.f64 b a) b))
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 b a) a) b))
(/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 b (/.f64 a (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 b a)) a) b) (neg.f64 (-.f64 b a)))
(/.f64 (/.f64 (neg.f64 (-.f64 b a)) a) (*.f64 (-.f64 b a) (neg.f64 b)))
(/.f64 (/.f64 (neg.f64 (-.f64 b a)) a) (neg.f64 (*.f64 (-.f64 b a) b)))
(/.f64 (neg.f64 (-.f64 b a)) (*.f64 (*.f64 (-.f64 b a) b) (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) b) (/.f64 a (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) b) (/.f64 (-.f64 b a) a)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 a (-.f64 b a))) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 b (/.f64 a (-.f64 b a)))))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))
(/.f64 (/.f64 (-.f64 b a) a) (*.f64 (-.f64 b a) b))
(/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b))
(neg.f64 (/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 b a)) a) b) (-.f64 b a)))
(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (neg.f64 (-.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 b a) (neg.f64 b))) (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (-.f64 b a) (neg.f64 b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (-.f64 b a) b))) (/.f64 (/.f64 (-.f64 b a) a) (neg.f64 (*.f64 (-.f64 b a) b))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 b a) b) (neg.f64 a))) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) b) (neg.f64 a))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 (+.f64 a b) (*.f64 a b))) (neg.f64 (neg.f64 (-.f64 b a)))) (/.f64 (/.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 (+.f64 a b) (*.f64 a b))) (neg.f64 (neg.f64 (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))) (neg.f64 (neg.f64 (-.f64 b a)))) (/.f64 (/.f64 (pow.f64 b #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))) (neg.f64 (neg.f64 (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 (/.f64 b a) b) (neg.f64 (neg.f64 (-.f64 b a)))) (/.f64 (pow.f64 b #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 b (*.f64 a b)) (neg.f64 (neg.f64 (-.f64 b a)))) (/.f64 (/.f64 a (*.f64 a b)) (neg.f64 (neg.f64 (-.f64 b a)))))
(-.f64 (/.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 b a)))) (/.f64 (pow.f64 b #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 (+.f64 a b) (*.f64 a b))) (-.f64 b a)) (/.f64 (/.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 (+.f64 a b) (*.f64 a b))) (-.f64 b a)))
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(-.f64 (/.f64 (/.f64 (/.f64 b a) b) (-.f64 b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) (-.f64 b a)))
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(/.f64 (neg.f64 (PI.f64)) (neg.f64 (+.f64 a b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 a b) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (PI.f64)))
(/.f64 (PI.f64) (+.f64 a b))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (+.f64 a b)))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (+.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 a b))) (/.f64 (PI.f64) (neg.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a b) (PI.f64))) #s(literal -1 binary64)))

eval319.0ms (4.2%)

Memory
-9.5MiB live, 566.5MiB allocated
Compiler

Compiled 63 202 to 7 165 computations (88.7% saved)

prune91.0ms (1.2%)

Memory
30.4MiB live, 145.4MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New2 088132 101
Fresh15217
Picked415
Done000
Total2 107162 123
Accuracy
100.0%
Counts
2 123 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
53.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
88.1%
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (+.f64 a b)))
90.9%
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 b a) a) b)))
66.6%
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
▶99.7%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
63.2%
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
▶53.5%
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
69.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b)))
44.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
53.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
68.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
✓60.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
60.7%
#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))))
▶69.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
▶60.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
Compiler

Compiled 847 to 590 computations (30.3% saved)

simplify165.0ms (2.2%)

Memory
-6.4MiB live, 205.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
051280
074280
1156276
2434274
31323238
44660238
08155238
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
#s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
a
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
(*.f64 a b)
b
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.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(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 a b)
a
b
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(+.f64 a b)
Outputs
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(*.f64 (/.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (+.f64 a b)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
a
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
(*.f64 a b)
b
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.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 (PI.f64) b) b) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a))
(*.f64 (/.f64 (/.f64 (PI.f64) b) b) (/.f64 #s(literal 1/2 binary64) 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(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
(/.f64 (PI.f64) (*.f64 (*.f64 b (/.f64 (+.f64 a b) #s(literal 1/2 binary64))) a))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 (+.f64 a b) #s(literal 1/2 binary64)) a) (/.f64 b (PI.f64)))
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 a (PI.f64)) #s(literal 2 binary64)) b)
(*.f64 a b)
a
b
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(+.f64 a b)

localize128.0ms (1.7%)

Memory
7.4MiB live, 279.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(PI.f64)
accuracy0.140625
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))
accuracy0.203125
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy0.6383746747185355
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
accuracy0.2578125
(/.f64 (PI.f64) a)
accuracy0.6231708054144389
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
accuracy7.665174485474672
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a))
accuracy25.15026576648126
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
accuracy0.0
(PI.f64)
accuracy0.20703125
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
accuracy1.0673037883816687
(/.f64 (PI.f64) (*.f64 a b))
accuracy19.706130100844984
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
accuracy0.185878759768442
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
accuracy0.35067473733707727
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
accuracy8.874154864654527
(*.f64 (*.f64 a a) b)
accuracy19.706130100844984
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
accuracy0.0
#s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
accuracy0.203125
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
accuracy0.22265625
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
accuracy0.23046875
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
Samples
79.0ms256×0valid
Compiler

Compiled 240 to 41 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 26.0ms (44.9% of total)
ival-mult: 25.0ms (43.2% of total)
ival-sub: 4.0ms (6.9% of total)
ival-pi: 1.0ms (1.7% of total)
ival-add: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory
-20.6MiB live, 58.9MiB allocated
Counts
23 → 55
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
#s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
(/.f64 #s(literal 1 binary64) b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(/.f64 #s(literal 1/2 binary64) a)
(/.f64 (PI.f64) (*.f64 a b))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.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(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 a b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 (*.f64 a a) b)
(/.f64 (PI.f64) a)
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/ 1 (* a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 a)
(/ (PI) (* a b))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* 2 (/ (* a b) (PI)))
(* a b)
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(* (pow a 2) b)
(/ (PI) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ 1 b)
(/ 1/2 (pow b 2))
(pow b 2)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
a
@0
((* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (/ (/ 1 b) a) (/ 1 b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (/ (PI) (* a b))) (/ 1/2 a) (/ (PI) (* a b)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (* (/ 1/2 (* b b)) (/ (PI) a)) (/ 1/2 (* b b)) (* b b) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* a b) (* (PI) 1/2)) (* a b) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (/ (PI) a))
6.0ms
b
@inf
((* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (/ (/ 1 b) a) (/ 1 b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (/ (PI) (* a b))) (/ 1/2 a) (/ (PI) (* a b)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (* (/ 1/2 (* b b)) (/ (PI) a)) (/ 1/2 (* b b)) (* b b) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* a b) (* (PI) 1/2)) (* a b) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (/ (PI) a))
4.0ms
b
@-inf
((* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (/ (/ 1 b) a) (/ 1 b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (/ (PI) (* a b))) (/ 1/2 a) (/ (PI) (* a b)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (* (/ 1/2 (* b b)) (/ (PI) a)) (/ 1/2 (* b b)) (* b b) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* a b) (* (PI) 1/2)) (* a b) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (/ (PI) a))
4.0ms
a
@-inf
((* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (/ (/ 1 b) a) (/ 1 b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (/ (PI) (* a b))) (/ 1/2 a) (/ (PI) (* a b)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (* (/ 1/2 (* b b)) (/ (PI) a)) (/ 1/2 (* b b)) (* b b) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* a b) (* (PI) 1/2)) (* a b) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (/ (PI) a))
4.0ms
b
@0
((* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (/ (/ 1 b) a) (/ 1 b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (/ (PI) (* a b))) (/ 1/2 a) (/ (PI) (* a b)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (* (/ 1/2 (* b b)) (/ (PI) a)) (/ 1/2 (* b b)) (* b b) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* a b) (* (PI) 1/2)) (* a b) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (/ (PI) a))

simplify226.0ms (3%)

Memory
-4.4MiB live, 208.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02761033
17521017
22138945
34045905
46116891
08332827
Stop Event
1×iter limit
1×node limit
Counts
55 → 55
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 (* a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 a)
(/ (PI) (* a b))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* 2 (/ (* a b) (PI)))
(* a b)
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(* (pow a 2) b)
(/ (PI) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ 1 b)
(/ 1/2 (pow b 2))
(pow b 2)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) 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 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a) a)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (*.f64 a a) (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)))) a)
(/ 1 (* a b))
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ 1/2 (* (pow a 2) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(* 2 (/ (* a (pow b 2)) (PI)))
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))
(* 2 (/ (* a b) (PI)))
(*.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal 2 binary64))
(* a b)
(*.f64 a 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 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) (pow.f64 b #s(literal 4 binary64))))) a) a (*.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64))))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(* 2 (/ (* (pow a 2) b) (PI)))
(*.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(*.f64 (*.f64 (*.f64 (/.f64 a (PI.f64)) #s(literal 2 binary64)) (fma.f64 (/.f64 b a) b b)) a)
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (fma.f64 (/.f64 b a) b (neg.f64 b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (fma.f64 (/.f64 b a) b (neg.f64 b)))) a)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (/.f64 b a) b (neg.f64 b))) a)) a)) (*.f64 a a))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (fma.f64 (/.f64 b a) b (neg.f64 b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 b b (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a)))) a)) a)) a)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 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 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (pow.f64 a #s(literal 5 binary64))))) b) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 b (PI.f64)) (+.f64 a b)))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(fma.f64 (/.f64 (/.f64 b a) a) (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (pow.f64 a #s(literal 4 binary64))))) b) b (*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 a b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (/.f64 a b) a a)) b) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(*.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (fma.f64 (/.f64 a b) a (neg.f64 a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (fma.f64 (/.f64 a b) a (neg.f64 a)))) b)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -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 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (fma.f64 (/.f64 a b) a (neg.f64 a))) b)) b)) (*.f64 b b))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(*.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (fma.f64 (/.f64 a b) a (neg.f64 a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 a a (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b)))) b)) b)) b)

rewrite231.0ms (3%)

Memory
5.0MiB live, 124.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051241
074237
1324235
23009235
08588235
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 949
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
#s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
(/.f64 #s(literal 1 binary64) b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))
(/.f64 #s(literal 1/2 binary64) a)
(/.f64 (PI.f64) (*.f64 a b))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.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(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 a b)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(*.f64 (*.f64 a a) b)
(/.f64 (PI.f64) a)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a))) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(*.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a)) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (+.f64 a b)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a))) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a))))
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a))))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (+.f64 a b) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a)))) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a)))) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a)) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a))))) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (neg.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a))) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a))) (neg.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a))) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a)) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a)))) (neg.f64 (+.f64 a b)))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a))) (+.f64 a b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 a b) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a))))))
(/.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a)) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a)))))
#s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (pow.f64 b #s(literal -1 binary64)) a))
(*.f64 (pow.f64 (/.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal -1 binary64)) a))
(pow.f64 (/.f64 (*.f64 a b) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 b) (neg.f64 a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 a) (neg.f64 b)) #s(literal -1 binary64))
(pow.f64 (*.f64 a b) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b))
(/.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (*.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (neg.f64 b))
(/.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 b) (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 a) (neg.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a b) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) a))
(/.f64 (pow.f64 a #s(literal -1 binary64)) b)
(/.f64 (pow.f64 b #s(literal -1 binary64)) (neg.f64 (neg.f64 a)))
(/.f64 (pow.f64 b #s(literal -1 binary64)) a)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) a))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) a))
(exp.f64 (fma.f64 (log.f64 a) #s(literal -1 binary64) (neg.f64 (log.f64 b))))
(exp.f64 (fma.f64 (log.f64 b) #s(literal -1 binary64) (neg.f64 (log.f64 a))))
(exp.f64 (*.f64 (log.f64 (*.f64 a b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b))
(*.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64)))
(pow.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal -1 binary64))
(pow.f64 (*.f64 b b) #s(literal -1/2 binary64))
(pow.f64 b #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b)))
(/.f64 #s(literal 1 binary64) b)
(neg.f64 (/.f64 #s(literal -1 binary64) b))
(exp.f64 (neg.f64 (log.f64 b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a))
(*.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
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(/.f64 (neg.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (neg.f64 (/.f64 (PI.f64) (+.f64 a b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (+.f64 a b) #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 a b)))
(/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (neg.f64 (neg.f64 (+.f64 a b)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (+.f64 a b) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 a b))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64)))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 a b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 a b) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 a b) a)
(*.f64 (*.f64 a a) b)
(*.f64 a (*.f64 a b))
(*.f64 b (*.f64 a a))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 a #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 a #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (PI.f64))
(*.f64 (PI.f64) (pow.f64 a #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) a))
(pow.f64 (/.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1 binary64))) (neg.f64 (neg.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 (*.f64 (PI.f64) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (PI.f64))))
(/.f64 (PI.f64) a)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (PI.f64)))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) a))
(neg.f64 (/.f64 (PI.f64) (neg.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (PI.f64) (neg.f64 a)))
(exp.f64 (fma.f64 (log.f64 a) #s(literal -1 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (neg.f64 (log.f64 a))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (PI.f64))) #s(literal -1 binary64)))

eval199.0ms (2.6%)

Memory
11.3MiB live, 131.2MiB allocated
Compiler

Compiled 30 274 to 3 534 computations (88.3% saved)

prune212.0ms (2.8%)

Memory
-8.3MiB live, 66.6MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1 033121 045
Fresh10010
Picked325
Done011
Total1 046151 061
Accuracy
100.0%
Counts
1 061 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (+.f64 a b))
71.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) a) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)))))
✓98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64)))))
53.5%
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 b b) #s(literal 2 binary64))))
60.6%
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) b))
▶60.6%
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
53.5%
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b b) a)))
▶53.5%
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
60.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
▶69.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 a #s(literal 2 binary64))))
68.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 a b) (*.f64 a #s(literal 2 binary64)))))
✓60.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
✓69.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
▶68.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
Compiler

Compiled 721 to 493 computations (31.6% saved)

simplify108.0ms (1.4%)

Memory
12.4MiB live, 50.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
046257
065257
1137253
2341253
31011221
43846221
08065221
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (+.f64 a b))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
(*.f64 a b)
a
b
#s(literal 1/2 binary64)
(+.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) a)
(*.f64 a b)
a
b
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))
#s(literal 1/2 binary64)
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
(*.f64 a b)
a
b
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(PI.f64)
(*.f64 a b)
a
Outputs
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (+.f64 a b))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) b) (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a)))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 b a))
(PI.f64)
(*.f64 a b)
(*.f64 b a)
a
b
#s(literal 1/2 binary64)
(+.f64 a b)
(+.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
#s(literal 1/2 binary64)
(*.f64 (*.f64 a b) a)
(*.f64 (*.f64 a a) b)
(*.f64 a b)
(*.f64 b a)
a
b
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) (PI.f64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))
#s(literal 1/2 binary64)
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 a #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (PI.f64) (*.f64 a b))
(/.f64 (PI.f64) (*.f64 b a))
(PI.f64)
(*.f64 a b)
(*.f64 b a)
a
b
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.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 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) (PI.f64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(PI.f64)
(*.f64 a b)
(*.f64 b a)
a

localize267.0ms (3.5%)

Memory
-36.6MiB live, 88.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(PI.f64)
accuracy0.16796875
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b))
accuracy0.3046875
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
accuracy25.15026576648126
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
accuracy0.0
(PI.f64)
accuracy0.13671875
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 a #s(literal 2 binary64)))
accuracy1.0673037883816687
(/.f64 (PI.f64) (*.f64 a b))
accuracy19.706130100844984
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 a #s(literal 2 binary64))))
accuracy0.16796875
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))
accuracy0.42112889365513295
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))
accuracy8.117372221941764
(*.f64 (*.f64 b b) a)
accuracy25.15026576648126
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
accuracy0.14453125
(*.f64 (*.f64 a b) a)
accuracy0.185878759768442
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))
accuracy0.35067473733707727
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
accuracy19.706130100844984
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
accuracy0.0
(PI.f64)
accuracy0.01171875
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64))
accuracy0.13671875
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (+.f64 a b))
accuracy1.0673037883816687
(/.f64 (PI.f64) (*.f64 a b))
Samples
197.0ms256×0valid
Compiler

Compiled 219 to 41 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-div: 89.0ms (77.3% of total)
ival-mult: 20.0ms (17.4% of total)
ival-sub: 3.0ms (2.6% of total)
ival-pi: 1.0ms (0.9% of total)
ival-add: 1.0ms (0.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
18 → 26
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (+.f64 a b))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))
(/.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 a #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 a #s(literal 2 binary64)))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
(/.f64 #s(literal 1/2 binary64) b)
(*.f64 (*.f64 a b) a)
(*.f64 (*.f64 b 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)
(* 1/2 (/ (PI) (* a b)))
(/ (PI) (* a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* a (pow b 2)))
(* (pow a 2) b)
(* a (pow b 2))
(/ (+ (* -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 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) b))
(/ 1/2 b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/ (+ (* -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) (* a b)) 1/2) (+ a b)) (* (/ (PI) (* a b)) 1/2) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (/ 1/2 (* (* a b) a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (* (PI) (/ 1/2 (* (* b b) a))) (/ 1/2 (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (PI) (* a b)) (* a 2)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (* (/ 1/2 b) (PI)) (* a b)) (* (/ 1/2 b) (PI)) (/ 1/2 b) (* (* a b) a) (* (* b b) a))
3.0ms
a
@-inf
((/ (* (/ (PI) (* a b)) 1/2) (+ a b)) (* (/ (PI) (* a b)) 1/2) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (/ 1/2 (* (* a b) a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (* (PI) (/ 1/2 (* (* b b) a))) (/ 1/2 (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (PI) (* a b)) (* a 2)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (* (/ 1/2 b) (PI)) (* a b)) (* (/ 1/2 b) (PI)) (/ 1/2 b) (* (* a b) a) (* (* b b) a))
3.0ms
a
@inf
((/ (* (/ (PI) (* a b)) 1/2) (+ a b)) (* (/ (PI) (* a b)) 1/2) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (/ 1/2 (* (* a b) a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (* (PI) (/ 1/2 (* (* b b) a))) (/ 1/2 (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (PI) (* a b)) (* a 2)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (* (/ 1/2 b) (PI)) (* a b)) (* (/ 1/2 b) (PI)) (/ 1/2 b) (* (* a b) a) (* (* b b) a))
3.0ms
b
@inf
((/ (* (/ (PI) (* a b)) 1/2) (+ a b)) (* (/ (PI) (* a b)) 1/2) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (/ 1/2 (* (* a b) a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (* (PI) (/ 1/2 (* (* b b) a))) (/ 1/2 (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (PI) (* a b)) (* a 2)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (* (/ 1/2 b) (PI)) (* a b)) (* (/ 1/2 b) (PI)) (/ 1/2 b) (* (* a b) a) (* (* b b) a))
3.0ms
b
@0
((/ (* (/ (PI) (* a b)) 1/2) (+ a b)) (* (/ (PI) (* a b)) 1/2) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (/ 1/2 (* (* a b) a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (* (PI) (/ 1/2 (* (* b b) a))) (/ 1/2 (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (PI) (* a b)) (* a 2)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (* (/ 1/2 b) (PI)) (* a b)) (* (/ 1/2 b) (PI)) (/ 1/2 b) (* (* a b) a) (* (* b b) a))

simplify257.0ms (3.4%)

Memory
22.2MiB live, 138.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149498
1359490
2960482
32109442
44068434
08315402
Stop Event
1×iter limit
1×node limit
Counts
26 → 26
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* a b)))
(/ (PI) (* a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* a (pow b 2)))
(* (pow a 2) b)
(* a (pow b 2))
(/ (+ (* -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 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) b))
(/ 1/2 b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) a #s(literal 1/2 binary64)) 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 (/.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 (PI.f64) a) (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 3 binary64)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) a #s(literal 1/2 binary64)) b) (*.f64 (*.f64 a a) (*.f64 (PI.f64) (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))))))) a)
(* 1/2 (/ (PI) (* a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 b a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) a) #s(literal 1/2 binary64))
(/ 1/2 (* (pow a 2) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (*.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) 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) a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (*.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) a) a)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (*.f64 (PI.f64) b) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) b (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) b) (fma.f64 (/.f64 b (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b #s(literal 1/2 binary64)))) b)
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.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 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (*.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 a b) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) 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) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.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 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (*.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 a b) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) b) b)

rewrite278.0ms (3.6%)

Memory
-0.4MiB live, 158.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046212
065208
1299208
22735208
08383208
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 719
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (+.f64 a b))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))
(/.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 a #s(literal 2 binary64))))
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 a #s(literal 2 binary64)))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
(/.f64 #s(literal 1/2 binary64) b)
(*.f64 (*.f64 a b) a)
(*.f64 (*.f64 b b) a)
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))
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(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) b)) (/.f64 b (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (*.f64 b (*.f64 (neg.f64 b) a))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b b) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) b)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 b) (/.f64 (*.f64 b a) (PI.f64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (*.f64 b a) (PI.f64))))
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) (*.f64 b #s(literal 2 binary64)))
(/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 b a)))
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) (*.f64 b a)))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 (neg.f64 b) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (neg.f64 b) a))) (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (neg.f64 b) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (*.f64 (neg.f64 b) a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 (neg.f64 b) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (neg.f64 b)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) a)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 (neg.f64 b) a)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) b)) (/.f64 b (PI.f64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal -1 binary64)) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) b) #s(literal -1 binary64))
(pow.f64 (/.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))
(pow.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 b #s(literal -2 binary64))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 b #s(literal 2 binary64))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 b #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (neg.f64 b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 b #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b))
(*.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 b)))
(/.f64 #s(literal 1/2 binary64) b)
(neg.f64 (/.f64 #s(literal -1/2 binary64) b))
(exp.f64 (*.f64 (log.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 a a) b)
(*.f64 (*.f64 b a) a)
(*.f64 b (*.f64 a a))
(*.f64 a (*.f64 b a))
(*.f64 (*.f64 b b) a)
(*.f64 (*.f64 b a) b)
(*.f64 b (*.f64 b a))
(*.f64 a (*.f64 b b))

eval166.0ms (2.2%)

Memory
-19.5MiB live, 177.9MiB allocated
Compiler

Compiled 20 861 to 2 218 computations (89.4% saved)

prune73.0ms (1%)

Memory
-4.9MiB live, 77.4MiB allocated
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New7157722
Fresh437
Picked235
Done123
Total72215737
Accuracy
100.0%
Counts
737 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 b a)))
71.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) a) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)))))
98.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) (+.f64 b a)))
53.5%
#s(approx (/ (* (/ (PI) (* a b)) 1/2) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
60.6%
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) (*.f64 b #s(literal 2 binary64))))
✓60.6%
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
60.1%
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 b a))))
60.6%
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 b a))))
60.1%
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
60.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
✓69.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 a #s(literal 2 binary64))))
68.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 a b) (*.f64 a #s(literal 2 binary64)))))
✓60.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
✓69.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
✓68.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
Compiler

Compiled 1 772 to 529 computations (70.1% saved)

regimes63.0ms (0.8%)

Memory
-2.3MiB live, 73.9MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 a b) (*.f64 a #s(literal 2 binary64)))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 b a))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b b) a)))
#s(approx (/ (* (/ (PI) (* a b)) 1/2) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 a #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 b a))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) b))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 b b) #s(literal 2 binary64))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) (*.f64 b #s(literal 2 binary64))))
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) (+.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (+.f64 a b))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(*.f64 (*.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 b a) 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) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (*.f64 a b))
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (+.f64 a b) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))))))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) a) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))))
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (+.f64 a b)))
Outputs
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (+.f64 a b))
Calls

3 calls:

26.0ms
b
14.0ms
a
12.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes21.0ms (0.3%)

Memory
31.3MiB live, 31.3MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 a b) (*.f64 a #s(literal 2 binary64)))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 b a))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b b) a)))
#s(approx (/ (* (/ (PI) (* a b)) 1/2) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 a #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 b a))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) b))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 b b) #s(literal 2 binary64))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) (*.f64 b #s(literal 2 binary64))))
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b a) (PI.f64)) (+.f64 b a)))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 b a)))
Calls

3 calls:

7.0ms
a
7.0ms
b
6.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
98.9%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)))
98.9%1a
98.9%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes18.0ms (0.2%)

Memory
-19.9MiB live, 19.3MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 a b) (*.f64 a #s(literal 2 binary64)))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 b a))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b b) a)))
#s(approx (/ (* (/ (PI) (* a b)) 1/2) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 b a))))
Calls

3 calls:

10.0ms
b
4.0ms
a
3.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
91.6%2a
91.5%2b
68.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 a b) (*.f64 a #s(literal 2 binary64)))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
Calls

1 calls:

3.0ms
a
Results
AccuracySegmentsBranch
91.6%2a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 a b) (*.f64 a #s(literal 2 binary64)))))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
Calls

2 calls:

2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
84.9%2b
85.0%2a
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes28.0ms (0.4%)

Memory
-43.2MiB live, 11.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
Calls

3 calls:

2.0ms
b
2.0ms
a
2.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
68.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
68.7%1b
68.7%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes48.0ms (0.6%)

Memory
33.1MiB live, 33.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
Calls

3 calls:

44.0ms
a
2.0ms
b
2.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
68.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
68.7%1b
68.7%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes11.0ms (0.1%)

Memory
-31.7MiB live, 7.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

8.0ms
b
1.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
1.0ms
a
Results
AccuracySegmentsBranch
60.7%1b
60.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
60.7%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch17.0ms (0.2%)

Memory
22.7MiB live, 22.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-4.5952536466700326e-51
-2.7063813545006128e-52
Samples
10.0ms112×0valid
Compiler

Compiled 444 to 321 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (41.8% of total)
ival-mult: 3.0ms (41.8% of total)
ival-sub: 1.0ms (13.9% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Memory
-14.4MiB live, 24.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
-1.5736039558737863e-109
-3.577811951672595e-111
Samples
10.0ms112×0valid
Compiler

Compiled 444 to 321 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (42% of total)
ival-mult: 3.0ms (42% of total)
ival-pi: 1.0ms (14% of total)
ival-sub: 1.0ms (14% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-4.5952536466700326e-51
-2.7063813545006128e-52
Compiler

Compiled 458 to 342 computations (25.3% saved)

simplify59.0ms (0.8%)

Memory
16.6MiB live, 55.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067309
1103295
2227295
3723223
43089223
57599223
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (+.f64 a b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(if (<=.f64 a #s(literal -7582485000136117/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 b a)))))
(if (<=.f64 a #s(literal -3278837605199633/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))))
(if (<=.f64 a #s(literal -7582485000136117/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))
Outputs
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) (+.f64 a b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(if (<=.f64 a #s(literal -7582485000136117/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (PI.f64) (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 b a)))))
(if (<=.f64 a #s(literal -3278837605199633/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b)))))
(if (<=.f64 a #s(literal -7582485000136117/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))

soundness964.0ms (12.7%)

Memory
26.6MiB live, 813.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01554
02650
112450
2112750
0924250
02911138
17681118
222931080
363931080
082151013
046212
065208
1299208
22735208
08383208
046259
075253
1332213
23222213
08446213
08443240
126462768
089792651
051241
074237
1324235
23009235
08588235
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 937 to 501 computations (46.5% saved)

preprocess64.0ms (0.8%)

Memory
-13.4MiB live, 105.9MiB allocated
Remove

(sort a b)

Compiler

Compiled 682 to 186 computations (72.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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