NMSE Section 6.1 mentioned, B

Time bar (total: 11.0s)

analyze113.0ms (1%)

Memory
4.9MiB live, 200.8MiB 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)

sample1.4s (12.8%)

Memory
-86.2MiB live, 1 856.3MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 696.0ms
ival-div: 336.0ms (48.3% of total)
ival-mult: 197.0ms (28.3% of total)
ival-sub: 108.0ms (15.5% of total)
ival-pi: 38.0ms (5.5% of total)
exact: 8.0ms (1.1% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess372.0ms (3.4%)

Memory
2.4MiB live, 459.5MiB allocated
Algorithm
2×egg-herbie
Rules
8 062×accelerator-lowering-fma.f32
8 062×accelerator-lowering-fma.f64
4 668×*-lowering-*.f32
4 668×*-lowering-*.f64
2 098×neg-lowering-neg.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038130
1134114
2468114
32364114
45207114
57440114
01521
13519
29719
338218
4155817
5426517
0838717
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))
Call 2
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b)))
(* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b)))))
(* (* (/ (PI) 2) (/ 1 (- (* a a) (* b b)))) (- (/ 1 b) (/ 1 a)))
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/ (* (* (PI) 1/2) (/ (+ (/ 1 a) (/ -1 b)) (+ b a))) (- b a))
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b)))
(* (+ (/ -1 a) (/ -1 b)) (/ (* (PI) 1/2) (- (* b b) (* a a))))
(* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b))))
(* (PI) (/ (/ (+ (/ -1 a) (/ -1 b)) (- a b)) (* 2 (+ b a))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b))))
(* (PI) (/ (/ (+ (/ -1 a) (/ -1 b)) (- a b)) (* 2 (+ b a))))
(neg (* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b)))))
(* (+ (/ -1 a) (/ -1 b)) (/ (* (PI) 1/2) (- (* b b) (* a a))))
(* (* (/ (PI) 2) (/ 1 (- (* a a) (* b b)))) (- (/ 1 b) (/ 1 a)))
(/ (* (* (PI) 1/2) (/ (+ (/ 1 a) (/ -1 b)) (+ b a))) (- b a))
Symmetry

(sort a b)

explain171.0ms (1.6%)

Memory
-5.5MiB live, 344.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
380-4(-1.8128342716015585e+161 2.9905938315196854e-279)(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
200-0-(-.f64 (*.f64 b b) (*.f64 a a))
31(-1.8128342716015585e+161 2.9905938315196854e-279)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*u340
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue200
↳(*.f64 b b)overflow67
↳(*.f64 a a)overflow64
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o40
↳(*.f64 b b)overflow67
↳(*.f64 a a)overflow64
↳(-.f64 (*.f64 b b) (*.f64 a a))overflow111
Confusion
Predicted +Predicted -
+584
-0194
Precision
1.0
Recall
0.9354838709677419
Confusion?
Predicted +Predicted MaybePredicted -
+5804
-00194
Precision?
1.0
Recall?
0.9354838709677419
Freqs
test
numberfreq
0198
158
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 204 to 64 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 15.0ms (43.3% of total)
ival-mult: 12.0ms (34.6% of total)
ival-sub: 5.0ms (14.4% of total)
ival-pi: 2.0ms (5.8% of total)
exact: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.0%
(*.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 15 computations (34.8% saved)

simplify243.0ms (2.2%)

Memory
12.1MiB live, 374.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(-.f64 (*.f64 b b) (*.f64 a a))
✓cost-diff320
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
✓cost-diff320
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓cost-diff384
(/.f64 (PI.f64) #s(literal 2 binary64))
Rules
8 062×accelerator-lowering-fma.f32
8 062×accelerator-lowering-fma.f64
4 668×*-lowering-*.f32
4 668×*-lowering-*.f64
2 098×neg-lowering-neg.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01577
13573
29773
338272
4155871
5426571
0838771
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(/ (PI) 2)
(PI)
2
(/ 1 (- (* b b) (* a a)))
1
(- (* b b) (* a a))
(* b b)
b
(* a a)
a
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(/ 1 b)
Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))
(/ (PI) 2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(/ 1 (- (* b b) (* a a)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))
1
#s(literal 1 binary64)
(- (* b b) (* a a))
(*.f64 (+.f64 b a) (-.f64 b a))
(* b b)
(*.f64 b b)
b
(* a a)
(*.f64 a a)
a
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)

localize55.0ms (0.5%)

Memory
-26.9MiB live, 50.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
✓accuracy92.9%
(-.f64 (*.f64 b b) (*.f64 a a))
✓accuracy87.2%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Samples
28.0ms256×0valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (42.7% of total)
ival-div: 7.0ms (37.4% of total)
ival-sub: 2.0ms (10.7% of total)
ival-pi: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (/ (PI) 2)>
#<alt (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))>
#<alt (* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))>
#<alt (- (* b b) (* a a))>
#<alt (/ 1 (- (* b b) (* a a)))>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))>
#<alt (+ (* -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))))))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 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))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 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))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))>
#<alt (+ (* 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))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* -1 (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (/ -1 (pow a 2))>
#<alt (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (- (* (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)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))>
#<alt (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>
Calls

24 calls:

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

rewrite353.0ms (3.2%)

Memory
16.6MiB live, 566.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 700×*-lowering-*.f32
6 700×*-lowering-*.f64
4 958×accelerator-lowering-fma.f32
4 958×accelerator-lowering-fma.f64
2 990×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01549
111349
2111249
0919049
Stop Event
1×iter limit
1×node limit
Counts
5 → 583
Calls
Call 1
Inputs
(/ (PI) 2)
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(- (* b b) (* a a))
(/ 1 (- (* b b) (* a a)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a)))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(fma.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a) #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) a))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
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(fma.f64 (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))))
(fma.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (*.f64 b (*.f64 b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 a a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 b b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (fma.f64 b (neg.f64 b) (*.f64 a a)))
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))
(/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))) (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) (+.f64 (neg.f64 b) a))
(pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)))
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))
(*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (fma.f64 a a (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)))

simplify414.0ms (3.8%)

Memory
13.6MiB live, 597.5MiB allocated
Algorithm
1×egg-herbie
Rules
12 618×accelerator-lowering-fma.f32
12 618×accelerator-lowering-fma.f64
5 734×*-lowering-*.f32
5 734×*-lowering-*.f64
2 064×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911696
17681666
222951612
363831612
083411525
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (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))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (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) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(* 1/2 (/ (PI) (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))
(* 1/2 (/ (PI) (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))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -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 b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(/ -1 (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 (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 (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 (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 (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 (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))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (PI.f64) (*.f64 (/.f64 b (*.f64 a (*.f64 a a))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (PI.f64) (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (*.f64 a (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
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(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.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 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 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 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (neg.f64 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 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.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 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))

eval89.0ms (0.8%)

Memory
-10.9MiB live, 217.9MiB allocated
Compiler

Compiled 22 369 to 2 043 computations (90.9% saved)

prune122.0ms (1.1%)

Memory
24.2MiB live, 255.7MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New66316679
Fresh000
Picked101
Done000
Total66416680
Accuracy
100.0%
Counts
680 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.5%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
86.3%
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a))
80.9%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
51.5%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
▶47.5%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
60.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
▶60.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
▶99.6%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
81.0%
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
▶86.3%
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a)))))
99.6%
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
86.3%
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
86.3%
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
▶87.2%
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
47.5%
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 634 to 390 computations (38.5% saved)

simplify310.0ms (2.8%)

Memory
-15.3MiB live, 561.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (PI.f64) (-.f64 b a))
✓cost-diff384
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓cost-diff384
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
✓cost-diff1408
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓cost-diff0
(*.f64 b a)
✓cost-diff0
(-.f64 b a)
✓cost-diff0
(/.f64 (-.f64 b a) (*.f64 b a))
✓cost-diff1408
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
✓cost-diff0
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
✓cost-diff0
(*.f64 a (*.f64 a b))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
✓cost-diff0
(-.f64 b a)
✓cost-diff0
(/.f64 (-.f64 b a) (*.f64 b a))
✓cost-diff384
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a))
✓cost-diff1408
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
Rules
5 418×accelerator-lowering-fma.f32
5 418×accelerator-lowering-fma.f64
4 374×*-lowering-*.f32
4 374×*-lowering-*.f64
2 902×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034251
1108251
2347251
31239227
44206227
56199227
08253227
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (/ (- b a) (* b a)) (+ b a)) (/ (* (PI) 1/2) (- b a)))
(/ (/ (- b a) (* b a)) (+ b a))
(/ (- b a) (* b a))
(- b a)
b
a
(* b a)
(+ b a)
(/ (* (PI) 1/2) (- b a))
(* (PI) 1/2)
(PI)
1/2
(/ (* 1/2 (PI)) (* a (* a b)))
(* 1/2 (PI))
1/2
(PI)
(* a (* a b))
a
(* a b)
b
(/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a))
(* (PI) (+ (/ -1/2 a) (/ 1/2 b)))
(PI)
(+ (/ -1/2 a) (/ 1/2 b))
(/ -1/2 a)
-1/2
a
(/ 1/2 b)
1/2
b
(* a a)
(* (/ (- b a) (* b a)) (/ (* (PI) 1/2) (* (- b a) (+ b a))))
(/ (- b a) (* b a))
(- b a)
b
a
(* b a)
(/ (* (PI) 1/2) (* (- b a) (+ b a)))
(* (PI) 1/2)
(PI)
1/2
(* (- b a) (+ b a))
(+ b a)
(* (* (/ (PI) (- b a)) (/ 1/2 (+ b a))) (- (/ 1 a) (/ 1 b)))
(* (/ (PI) (- b a)) (/ 1/2 (+ b a)))
(/ (PI) (- b a))
(PI)
(- b a)
b
a
(/ 1/2 (+ b a))
1/2
(+ b a)
(- (/ 1 a) (/ 1 b))
(/ 1 a)
1
(/ 1 b)
Outputs
(* (/ (/ (- b a) (* b a)) (+ b a)) (/ (* (PI) 1/2) (- b a)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
(/ (/ (- b a) (* b a)) (+ b a))
(/.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a))))
(/ (- b a) (* b a))
(/.f64 (-.f64 b a) (*.f64 b a))
(- b a)
(-.f64 b a)
b
a
(* b a)
(*.f64 b a)
(+ b a)
(+.f64 b a)
(/ (* (PI) 1/2) (- b a))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(/ (* 1/2 (PI)) (* a (* a b)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
(* a (* a b))
(*.f64 b (*.f64 a a))
a
(* a b)
(*.f64 b a)
b
(/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) (*.f64 a a)))
(* (PI) (+ (/ -1/2 a) (/ 1/2 b)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(PI)
(PI.f64)
(+ (/ -1/2 a) (/ 1/2 b))
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
b
(* a a)
(*.f64 a a)
(* (/ (- b a) (* b a)) (/ (* (PI) 1/2) (* (- b a) (+ b a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
(/ (- b a) (* b a))
(/.f64 (-.f64 b a) (*.f64 b a))
(- b a)
(-.f64 b a)
b
a
(* b a)
(*.f64 b a)
(/ (* (PI) 1/2) (* (- b a) (+ b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* (- b a) (+ b a))
(*.f64 (-.f64 b a) (+.f64 b a))
(+ b a)
(+.f64 b a)
(* (* (/ (PI) (- b a)) (/ 1/2 (+ b a))) (- (/ 1 a) (/ 1 b)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))
(* (/ (PI) (- b a)) (/ 1/2 (+ b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))
(/ (PI) (- b a))
(/.f64 (PI.f64) (-.f64 b a))
(PI)
(PI.f64)
(- b a)
(-.f64 b a)
b
a
(/ 1/2 (+ b a))
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
1/2
#s(literal 1/2 binary64)
(+ b a)
(+.f64 b a)
(- (/ 1 a) (/ 1 b))
(/.f64 (-.f64 b a) (*.f64 b a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)

localize130.0ms (1.2%)

Memory
-18.5MiB live, 353.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓accuracy99.7%
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
✓accuracy99.6%
(/.f64 (PI.f64) (-.f64 b a))
✓accuracy87.2%
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.2%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))
✓accuracy87.2%
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
✓accuracy74.7%
(/.f64 (-.f64 b a) (*.f64 b a))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
✓accuracy99.5%
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
✓accuracy94.0%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 a (*.f64 a b))
✓accuracy99.4%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
✓accuracy99.7%
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
✓accuracy99.7%
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a))
✓accuracy99.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))
✓accuracy74.7%
(/.f64 (-.f64 b a) (*.f64 b a))
Samples
62.0ms256×0valid
Compiler

Compiled 253 to 36 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 18.0ms (43.2% of total)
ival-mult: 17.0ms (40.8% of total)
ival-sub: 3.0ms (7.2% of total)
ival-add: 2.0ms (4.8% of total)
ival-pi: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series62.0ms (0.6%)

Memory
2.7MiB live, 82.1MiB allocated
Counts
19 → 408
Calls
Call 1
Inputs
#<alt (* (/ (/ (- b a) (* b a)) (+ b a)) (/ (* (PI) 1/2) (- b a)))>
#<alt (/ (/ (- b a) (* b a)) (+ b a))>
#<alt (/ (- b a) (* b a))>
#<alt (- b a)>
#<alt (/ (* 1/2 (PI)) (* a (* a b)))>
#<alt (* 1/2 (PI))>
#<alt (PI)>
#<alt (* a (* a b))>
#<alt (/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a))>
#<alt (* (PI) (+ (/ -1/2 a) (/ 1/2 b)))>
#<alt (+ (/ -1/2 a) (/ 1/2 b))>
#<alt (* (/ (- b a) (* b a)) (/ (* (PI) 1/2) (* (- b a) (+ b a))))>
#<alt (* b a)>
#<alt (* (* (/ (PI) (- b a)) (/ 1/2 (+ b a))) (- (/ 1 a) (/ 1 b)))>
#<alt (* (/ (PI) (- b a)) (/ 1/2 (+ b a)))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ (PI) (- b a))>
#<alt (/ (* (PI) 1/2) (- b a))>
#<alt (/ (* (PI) 1/2) (* (- b a) (+ b a)))>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (/ -1 (* a b))>
#<alt (/ (- (* 2 (/ b (pow a 2))) (/ 1 a)) b)>
#<alt (/ (- (* b (+ (* -2 (/ b (pow a 3))) (* 2 (/ 1 (pow a 2))))) (/ 1 a)) b)>
#<alt (/ (- (* b (+ (* b (- (* 2 (/ b (pow a 4))) (* 2 (/ 1 (pow a 3))))) (* 2 (/ 1 (pow a 2))))) (/ 1 a)) b)>
#<alt (/ 1 (* a b))>
#<alt (/ (- (/ 1 a) (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ (* 2 (/ a (pow b 2))) (/ 1 a)) (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ (* -2 (/ (pow a 2) (pow b 3))) (/ 1 a)) (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 b)))) b)>
#<alt (/ 1 (* a b))>
#<alt (* -1 (/ (- (* 2 (/ 1 b)) (/ 1 a)) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ a b)) 2) b)) (/ 1 a)) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow a 2) b)) (* 2 a)) b)) 2) b)) (/ 1 a)) b))>
#<alt (/ 1 (* a b))>
#<alt (/ (+ (* -2 (/ a (pow b 2))) (/ 1 b)) a)>
#<alt (/ (+ (* a (- (* 2 (/ a (pow b 3))) (* 2 (/ 1 (pow b 2))))) (/ 1 b)) a)>
#<alt (/ (+ (* a (- (* a (+ (* -2 (/ a (pow b 4))) (* 2 (/ 1 (pow b 3))))) (* 2 (/ 1 (pow b 2))))) (/ 1 b)) a)>
#<alt (/ -1 (* a b))>
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#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (* -1 (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))>
#<alt (+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))>
#<alt (+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))>
#<alt (/ (PI) b)>
#<alt (/ (+ (PI) (/ (* a (PI)) b)) b)>
#<alt (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)>
#<alt (/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)>
#<alt (/ (PI) b)>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))>
#<alt (/ (PI) b)>
#<alt (+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))>
#<alt (+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))>
#<alt (+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))>
#<alt (* -1 (/ (PI) a))>
#<alt (/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)>
#<alt (/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)>
#<alt (/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)>
#<alt (* -1 (/ (PI) a))>
#<alt (* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))>
#<alt (* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))>
#<alt (* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))>
#<alt (* -1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (* b (PI)) (pow a 2))))>
#<alt (+ (* -1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (PI)) (pow a 3))))))>
#<alt (+ (* -1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4))))))))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 3) (PI)) (pow b 3)))))) b)>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* a (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))>
#<alt (* -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))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))>
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))>
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4))))))))>
#<alt (* -1/2 (/ (PI) a))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a)>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3)))))) a)>
#<alt (* -1/2 (/ (PI) a))>
#<alt (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* -1/2 (/ (* (pow b 2) (PI)) a))) a)) (* 1/2 (PI))) a))>
#<alt (* -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))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))>
Calls

102 calls:

TimeVariablePointExpression
17.0ms
b
@0
(/ (* 1/2 (PI)) (* a (* a b)))
9.0ms
a
@0
(/ (* (PI) 1/2) (- b a))
1.0ms
b
@0
(* (* (/ (PI) (- b a)) (/ 1/2 (+ b a))) (- (/ 1 a) (/ 1 b)))
1.0ms
b
@0
(* (/ (/ (- b a) (* b a)) (+ b a)) (/ (* (PI) 1/2) (- b a)))
1.0ms
a
@inf
(/ (* 1/2 (PI)) (* a (* a b)))

rewrite405.0ms (3.7%)

Memory
29.0MiB live, 663.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 260×*-lowering-*.f32
5 260×*-lowering-*.f64
5 176×/-lowering-/.f32
5 176×/-lowering-/.f64
2 598×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034169
1252169
22829169
08671169
Stop Event
1×iter limit
1×node limit
Counts
19 → 1 718
Calls
Call 1
Inputs
(* (/ (/ (- b a) (* b a)) (+ b a)) (/ (* (PI) 1/2) (- b a)))
(/ (/ (- b a) (* b a)) (+ b a))
(/ (- b a) (* b a))
(- b a)
(/ (* 1/2 (PI)) (* a (* a b)))
(* 1/2 (PI))
(PI)
(* a (* a b))
(/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a))
(* (PI) (+ (/ -1/2 a) (/ 1/2 b)))
(+ (/ -1/2 a) (/ 1/2 b))
(* (/ (- b a) (* b a)) (/ (* (PI) 1/2) (* (- b a) (+ b a))))
(* b a)
(* (* (/ (PI) (- b a)) (/ 1/2 (+ b a))) (- (/ 1 a) (/ 1 b)))
(* (/ (PI) (- b a)) (/ 1/2 (+ b a)))
(- (/ 1 a) (/ 1 b))
(/ (PI) (- b a))
(/ (* (PI) 1/2) (- b a))
(/ (* (PI) 1/2) (* (- b a) (+ b a)))
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)))
(/.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))) (-.f64 b a)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (+.f64 b a)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 (*.f64 b a) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 (-.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (+.f64 b a))))))
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(pow.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 b a) (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (pow.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (PI.f64))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a))) (fma.f64 a (+.f64 b a) (*.f64 b b)))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a))
(*.f64 (pow.f64 (/.f64 (+.f64 b a) (PI.f64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))

simplify559.0ms (5.1%)

Memory
-38.6MiB live, 947.8MiB allocated
Algorithm
1×egg-herbie
Rules
20 312×accelerator-lowering-fma.f32
20 312×accelerator-lowering-fma.f64
5 660×*-lowering-*.f32
5 660×*-lowering-*.f64
3 742×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08006629
124455790
089085476
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (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))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (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) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ -1 (* a b))
(/ (- (* 2 (/ b (pow a 2))) (/ 1 a)) b)
(/ (- (* b (+ (* -2 (/ b (pow a 3))) (* 2 (/ 1 (pow a 2))))) (/ 1 a)) b)
(/ (- (* b (+ (* b (- (* 2 (/ b (pow a 4))) (* 2 (/ 1 (pow a 3))))) (* 2 (/ 1 (pow a 2))))) (/ 1 a)) b)
(/ 1 (* a b))
(/ (- (/ 1 a) (* 2 (/ 1 b))) b)
(/ (- (+ (* 2 (/ a (pow b 2))) (/ 1 a)) (* 2 (/ 1 b))) b)
(/ (- (+ (* -2 (/ (pow a 2) (pow b 3))) (/ 1 a)) (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 b)))) b)
(/ 1 (* a b))
(* -1 (/ (- (* 2 (/ 1 b)) (/ 1 a)) b))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ a b)) 2) b)) (/ 1 a)) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow a 2) b)) (* 2 a)) b)) 2) b)) (/ 1 a)) b))
(/ 1 (* a b))
(/ (+ (* -2 (/ a (pow b 2))) (/ 1 b)) a)
(/ (+ (* a (- (* 2 (/ a (pow b 3))) (* 2 (/ 1 (pow b 2))))) (/ 1 b)) a)
(/ (+ (* a (- (* a (+ (* -2 (/ a (pow b 4))) (* 2 (/ 1 (pow b 3))))) (* 2 (/ 1 (pow b 2))))) (/ 1 b)) a)
(/ -1 (* a b))
(/ (- (* 2 (/ 1 a)) (/ 1 b)) a)
(/ (- (+ (* -2 (/ b (pow a 2))) (* 2 (/ 1 a))) (/ 1 b)) a)
(/ (- (+ (* 2 (/ (pow b 2) (pow a 3))) (* 2 (/ 1 a))) (+ (* 2 (/ b (pow a 2))) (/ 1 b))) a)
(/ -1 (* a b))
(* -1 (/ (- (/ 1 b) (* 2 (/ 1 a))) a))
(* -1 (/ (+ (* -1 (/ (+ 2 (* -2 (/ b a))) a)) (/ 1 b)) a))
(* -1 (/ (+ (* -1 (/ (+ 2 (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (* 2 b)) a))) a)) (/ 1 b)) a))
(/ -1 b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(* -1 a)
(- b a)
(- b a)
(- b a)
b
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1 a)
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* 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))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* -1/2 (/ (PI) a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* 1/2 (/ (PI) b))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(* -1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* -1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ -1/2 a)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ -1/2 a)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (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))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (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) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (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))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(* -1 (/ (PI) a))
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(/ (PI) b)
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (PI) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/ (PI) b)
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(* -1 (/ (PI) a))
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)
(* -1 (/ (PI) a))
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(* -1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (* b (PI)) (pow a 2))))
(+ (* -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 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4))))))))
(* 1/2 (/ (PI) b))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 3) (PI)) (pow b 3)))))) b)
(* 1/2 (/ (PI) 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))
(* 1/2 (/ (PI) b))
(+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))
(+ (* 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 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4))))))))
(* -1/2 (/ (PI) a))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a)
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3)))))) a)
(* -1/2 (/ (PI) 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))
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (*.f64 a (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 b (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 (*.f64 (PI.f64) b) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.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))
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(/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) a (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b))) 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 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 a (*.f64 a a)) b) (*.f64 (PI.f64) (*.f64 a a)))) b)) b)) (neg.f64 b))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a (*.f64 b b)) (/.f64 (PI.f64) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(fma.f64 (*.f64 a #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 (PI.f64) (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4))))))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 1/2 binary64)) (fma.f64 (PI.f64) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
(* -1/2 (/ (PI) a))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 b a) (PI.f64))) a)
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (PI.f64) (/.f64 b a) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (*.f64 a a)))) a)
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3)))))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (PI.f64) (/.f64 b a) (PI.f64)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) b) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (*.f64 a a))))) a)
(* -1/2 (/ (PI) a))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)
(* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 b a) (PI.f64))) a)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* -1/2 (/ (* (pow b 2) (PI)) a))) a)) (* 1/2 (PI))) a))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 b b) a) (*.f64 (PI.f64) b))) a)) (neg.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 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (*.f64 b b) (/.f64 (*.f64 (PI.f64) (*.f64 b (*.f64 b b))) a))) a)) a)) (neg.f64 a))
(* -1/2 (/ (PI) (pow a 2)))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))
(fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (fma.f64 b (fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))
(fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (fma.f64 b (*.f64 (*.f64 b #s(literal -1/2 binary64)) (fma.f64 b (fma.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b b))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)))) (*.f64 b b)))) (*.f64 b b))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)))) (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 b b))
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) b) (*.f64 (PI.f64) #s(literal 0 binary64))) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 (PI.f64) #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) b)) (neg.f64 b))) b)) (*.f64 b b))
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) a) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (*.f64 (*.f64 a #s(literal -1/2 binary64)) (fma.f64 a (/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))))
(* -1/2 (/ (PI) (pow a 2)))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) a) (PI.f64)) (/.f64 (*.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) (*.f64 a a)))) (*.f64 a a))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) a) (PI.f64)) (/.f64 (*.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (*.f64 a (*.f64 a a)))) (*.f64 a a))
(* -1/2 (/ (PI) (pow a 2)))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))
(/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64)))) a)) (neg.f64 a))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))
(/.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))))) a)) a)) (*.f64 a a))

eval365.0ms (3.3%)

Memory
47.7MiB live, 731.7MiB allocated
Compiler

Compiled 63 317 to 4 831 computations (92.4% saved)

prune271.0ms (2.5%)

Memory
-20.7MiB live, 746.1MiB allocated
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New2 653192 672
Fresh9211
Picked325
Done000
Total2 665232 688
Accuracy
100.0%
Counts
2 688 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.8%
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a)
60.8%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a))
▶82.5%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))))
51.5%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
✓47.5%
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
▶99.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))) (-.f64 b a)))
55.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
60.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
✓60.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
▶48.6%
(*.f64 (/.f64 (fma.f64 b #s(literal -1/2 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) (*.f64 b a))) (PI.f64))
70.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
54.8%
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)))
48.4%
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))))
60.8%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
▶55.0%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
60.8%
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
68.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
62.8%
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
62.6%
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
98.8%
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
62.9%
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b))
55.0%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
▶60.8%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
Compiler

Compiled 650 to 443 computations (31.8% saved)

simplify529.0ms (4.8%)

Memory
-0.5MiB live, 514.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓cost-diff0
(-.f64 b a)
✓cost-diff0
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓cost-diff1024
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))))
✓cost-diff0
(*.f64 a #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 b #s(literal -1/2 binary64) (*.f64 a #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 (fma.f64 b #s(literal -1/2 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) (*.f64 b a)))
✓cost-diff0
(*.f64 (/.f64 (fma.f64 b #s(literal -1/2 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) (*.f64 b a))) (PI.f64))
✓cost-diff0
(*.f64 a a)
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (*.f64 a a))
✓cost-diff384
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
✓cost-diff0
(*.f64 a (*.f64 b b))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))) (-.f64 b a)))
✓cost-diff1408
(*.f64 (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))) (-.f64 b a))
Rules
12 346×accelerator-lowering-fma.f32
12 346×accelerator-lowering-fma.f64
4 104×*-lowering-*.f32
4 104×*-lowering-*.f64
3 006×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031248
199248
2405214
31865210
43427210
56226210
08311207
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (PI) 1/2) (* (* (+ b a) (/ (* b a) (- b a))) (- b a)))
(* (PI) 1/2)
(PI)
1/2
(* (* (+ b a) (/ (* b a) (- b a))) (- b a))
(* (+ b a) (/ (* b a) (- b a)))
(+ b a)
b
a
(/ (* b a) (- b a))
(* b a)
(- b a)
(* (PI) (/ 1/2 (* a (* b b))))
(PI)
(/ 1/2 (* a (* b b)))
1/2
(* a (* b b))
a
(* b b)
b
(* (/ (PI) (* a a)) (/ 1/2 b))
(/ (PI) (* a a))
(PI)
(* a a)
a
(/ 1/2 b)
1/2
b
(* (/ (+ (* b -1/2) (* a 1/2)) (* (* a a) (* b a))) (PI))
(/ (+ (* b -1/2) (* a 1/2)) (* (* a a) (* b a)))
(+ (* b -1/2) (* a 1/2))
b
-1/2
(* a 1/2)
a
1/2
(* (* a a) (* b a))
(* a a)
(* b a)
(PI)
(/ (* (- b a) (* (PI) 1/2)) (* (- b a) (* (* b a) (+ b a))))
(* (- b a) (* (PI) 1/2))
(- b a)
b
a
(* (PI) 1/2)
(PI)
1/2
(* (- b a) (* (* b a) (+ b a)))
(* (* b a) (+ b a))
(* b a)
(+ b a)
Outputs
(/ (* (PI) 1/2) (* (* (+ b a) (/ (* b a) (- b a))) (- b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a))))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* (* (+ b a) (/ (* b a) (- b a))) (- b a))
(*.f64 a (*.f64 b (+.f64 b a)))
(* (+ b a) (/ (* b a) (- b a)))
(/.f64 (*.f64 a (*.f64 b (+.f64 b a))) (-.f64 b a))
(+ b a)
(+.f64 b a)
b
a
(/ (* b a) (- b a))
(/.f64 (*.f64 b a) (-.f64 b a))
(* b a)
(*.f64 b a)
(- b a)
(-.f64 b a)
(* (PI) (/ 1/2 (* a (* b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))
(PI)
(PI.f64)
(/ 1/2 (* a (* b b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))
1/2
#s(literal 1/2 binary64)
(* a (* b b))
(*.f64 b (*.f64 b a))
a
(* b b)
(*.f64 b b)
b
(* (/ (PI) (* a a)) (/ 1/2 b))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))
(/ (PI) (* a a))
(/.f64 (PI.f64) (*.f64 a a))
(PI)
(PI.f64)
(* a a)
(*.f64 a a)
a
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
b
(* (/ (+ (* b -1/2) (* a 1/2)) (* (* a a) (* b a))) (PI))
(/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b (*.f64 a (*.f64 a a))))
(/ (+ (* b -1/2) (* a 1/2)) (* (* a a) (* b a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) a (*.f64 b #s(literal -1/2 binary64))) (*.f64 b (*.f64 a (*.f64 a a))))
(+ (* b -1/2) (* a 1/2))
(fma.f64 #s(literal 1/2 binary64) a (*.f64 b #s(literal -1/2 binary64)))
b
-1/2
#s(literal -1/2 binary64)
(* a 1/2)
(*.f64 #s(literal 1/2 binary64) a)
a
1/2
#s(literal 1/2 binary64)
(* (* a a) (* b a))
(*.f64 b (*.f64 a (*.f64 a a)))
(* a a)
(*.f64 a a)
(* b a)
(*.f64 b a)
(PI)
(PI.f64)
(/ (* (- b a) (* (PI) 1/2)) (* (- b a) (* (* b a) (+ b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a))))
(* (- b a) (* (PI) 1/2))
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(- b a)
(-.f64 b a)
b
a
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* (- b a) (* (* b a) (+ b a)))
(*.f64 b (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))))
(* (* b a) (+ b a))
(*.f64 a (*.f64 b (+.f64 b a)))
(* b a)
(*.f64 b a)
(+ b a)
(+.f64 b a)

localize155.0ms (1.4%)

Memory
23.9MiB live, 182.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a)))
✓accuracy99.8%
(*.f64 (*.f64 b a) (+.f64 b a))
✓accuracy99.6%
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓accuracy82.5%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 (/.f64 (fma.f64 b #s(literal -1/2 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) (*.f64 b a))) (PI.f64))
✓accuracy97.7%
(*.f64 (*.f64 a a) (*.f64 b a))
✓accuracy90.3%
(/.f64 (fma.f64 b #s(literal -1/2 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) (*.f64 b a)))
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.3%
(/.f64 (PI.f64) (*.f64 a a))
✓accuracy87.3%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
✓accuracy99.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
✓accuracy88.3%
(*.f64 a (*.f64 b b))
✓accuracy100.0%
(*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a)))
✓accuracy99.8%
(*.f64 (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))) (-.f64 b a))
✓accuracy99.1%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))) (-.f64 b a)))
✓accuracy74.9%
(/.f64 (*.f64 b a) (-.f64 b a))
Samples
83.0ms256×0valid
Compiler

Compiled 239 to 33 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 22.0ms (57.4% of total)
ival-div: 11.0ms (28.7% of total)
ival-add: 3.0ms (7.8% of total)
ival-pi: 1.0ms (2.6% of total)
ival-sub: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series66.0ms (0.6%)

Memory
-19.6MiB live, 60.0MiB allocated
Counts
22 → 444
Calls
Call 1
Inputs
#<alt (* (* (+ b a) (/ (* b a) (- b a))) (- b a))>
#<alt (/ (* (PI) 1/2) (* (* (+ b a) (/ (* b a) (- b a))) (- b a)))>
#<alt (* (PI) 1/2)>
#<alt (PI)>
#<alt (* (PI) (/ 1/2 (* a (* b b))))>
#<alt (/ 1/2 (* a (* b b)))>
#<alt (* a (* b b))>
#<alt (* (/ (PI) (* a a)) (/ 1/2 b))>
#<alt (/ (PI) (* a a))>
#<alt (* a a)>
#<alt (* (/ (+ (* b -1/2) (* a 1/2)) (* (* a a) (* b a))) (PI))>
#<alt (/ (+ (* b -1/2) (* a 1/2)) (* (* a a) (* b a)))>
#<alt (+ (* b -1/2) (* a 1/2))>
#<alt (* a 1/2)>
#<alt (/ (* (- b a) (* (PI) 1/2)) (* (- b a) (* (* b a) (+ b a))))>
#<alt (* (- b a) (* (PI) 1/2))>
#<alt (- b a)>
#<alt (/ (* b a) (- b a))>
#<alt (* (+ b a) (/ (* b a) (- b a)))>
#<alt (* (* a a) (* b a))>
#<alt (* (* b a) (+ b a))>
#<alt (* (- b a) (* (* b a) (+ b a)))>
Outputs
#<alt (* (pow a 2) b)>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))>
#<alt (* -1/2 (/ (PI) (pow a 3)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ -1/2 (pow a 3))>
#<alt (- (* 1/2 (/ 1 (* (pow a 2) b))) (* 1/2 (/ 1 (pow a 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow a 2) b))) (* 1/2 (/ 1 (pow a 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow a 2) b))) (* 1/2 (/ 1 (pow a 3))))>
#<alt (/ -1/2 (pow a 3))>
#<alt (- (* 1/2 (/ 1 (* (pow a 2) b))) (* 1/2 (/ 1 (pow a 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow a 2) b))) (* 1/2 (/ 1 (pow a 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow a 2) b))) (* 1/2 (/ 1 (pow a 3))))>
#<alt (/ -1/2 (pow a 3))>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) (pow a 3))>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) (pow a 3))>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) (pow a 3))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (* 1/2 a)>
#<alt (+ (* -1/2 b) (* 1/2 a))>
#<alt (+ (* -1/2 b) (* 1/2 a))>
#<alt (+ (* -1/2 b) (* 1/2 a))>
#<alt (* -1/2 b)>
#<alt (* b (- (* 1/2 (/ a b)) 1/2))>
#<alt (* b (- (* 1/2 (/ a b)) 1/2))>
#<alt (* b (- (* 1/2 (/ a b)) 1/2))>
#<alt (* -1/2 b)>
#<alt (* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))>
#<alt (* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))>
#<alt (* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))>
#<alt (* -1/2 b)>
#<alt (+ (* -1/2 b) (* 1/2 a))>
#<alt (+ (* -1/2 b) (* 1/2 a))>
#<alt (+ (* -1/2 b) (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (* -1/2 (/ b a))))>
#<alt (* a (+ 1/2 (* -1/2 (/ b a))))>
#<alt (* a (+ 1/2 (* -1/2 (/ b a))))>
#<alt (* 1/2 a)>
#<alt (* -1 (* a (- (* 1/2 (/ b a)) 1/2)))>
#<alt (* -1 (* a (- (* 1/2 (/ b a)) 1/2)))>
#<alt (* -1 (* a (- (* 1/2 (/ b a)) 1/2)))>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* -1/2 (* a (PI)))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (* 1/2 (* b (PI)))>
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))>
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))>
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))>
#<alt (* 1/2 (* b (PI)))>
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))>
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))>
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))>
#<alt (* 1/2 (* b (PI)))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))>
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))>
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))>
#<alt (* -1 a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (* -1 a)>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 b)>
#<alt (* b (- (* -1 (/ b a)) 1))>
#<alt (* b (- (* b (- (* -1 (/ b (pow a 2))) (/ 1 a))) 1))>
#<alt (* b (- (* b (- (* b (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))) 1))>
#<alt a>
#<alt (+ a (/ (pow a 2) b))>
#<alt (- (+ a (/ (pow a 3) (pow b 2))) (* -1 (/ (pow a 2) b)))>
#<alt (- (+ a (/ (pow a 4) (pow b 3))) (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt a>
#<alt (+ a (/ (pow a 2) b))>
#<alt (+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)))>
#<alt (+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b)))>
#<alt a>
#<alt (* a (+ 1 (/ a b)))>
#<alt (* a (+ 1 (* a (+ (/ 1 b) (/ a (pow b 2))))))>
#<alt (* a (+ 1 (* a (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b)))))>
#<alt (* -1 b)>
#<alt (+ (* -1 b) (* -1 (/ (pow b 2) a)))>
#<alt (- (+ (* -1 b) (* -1 (/ (pow b 3) (pow a 2)))) (/ (pow b 2) a))>
#<alt (- (+ (* -1 b) (* -1 (/ (pow b 4) (pow a 3)))) (+ (/ (pow b 2) a) (/ (pow b 3) (pow a 2))))>
#<alt (* -1 b)>
#<alt (+ (* -1 b) (* -1 (/ (pow b 2) a)))>
#<alt (+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) a) (pow b 2)) a)))>
#<alt (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3))) a)) (pow b 2)) a)))>
#<alt (* -1 (* a b))>
#<alt (* b (+ (* -2 b) (* -1 a)))>
#<alt (* b (+ (* -1 a) (* b (- (* -2 (/ b a)) 2))))>
#<alt (* b (+ (* -1 a) (* b (- (* b (- (* -2 (/ b (pow a 2))) (* 2 (/ 1 a)))) 2))))>
#<alt (* a b)>
#<alt (* b (- (+ a (/ (pow a 2) b)) (* -1 (/ (pow a 2) b))))>
#<alt (* b (- (+ a (+ (/ (* a (- (pow a 2) (* -1 (pow a 2)))) (pow b 2)) (/ (pow a 2) b))) (* -1 (/ (pow a 2) b))))>
#<alt (* b (- (+ a (+ (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 3)) (/ (pow a 2) b))) (+ (* -1 (/ (* a (- (pow a 2) (* -1 (pow a 2)))) (pow b 2))) (* -1 (/ (pow a 2) b)))))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (- (+ (/ (* a (- (pow a 2) (* -1 (pow a 2)))) b) (pow a 2)) (* -1 (pow a 2))) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) b)) (* a (- (pow a 2) (* -1 (pow a 2))))) b)) (pow a 2)) (* -1 (pow a 2))) b)))))>
#<alt (* a b)>
#<alt (* a (+ b (* 2 a)))>
#<alt (* a (+ b (* a (+ 2 (* 2 (/ a b))))))>
#<alt (* a (+ b (* a (+ 2 (* a (+ (* 2 (/ a (pow b 2))) (* 2 (/ 1 b))))))))>
#<alt (* -1 (* a b))>
#<alt (* a (- (+ (* -1 b) (* -1 (/ (pow b 2) a))) (/ (pow b 2) a)))>
#<alt (* a (- (+ (* -1 b) (+ (* -1 (/ (pow b 2) a)) (/ (* b (- (* -1 (pow b 2)) (pow b 2))) (pow a 2)))) (/ (pow b 2) a)))>
#<alt (* a (- (+ (* -1 b) (+ (* -1 (/ (pow b 2) a)) (/ (* (pow b 2) (- (* -1 (pow b 2)) (pow b 2))) (pow a 3)))) (+ (* -1 (/ (* b (- (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (/ (pow b 2) a))))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a (- (+ b (/ (pow b 2) a)) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ b (* -1 (/ (+ (* -1 (- (pow b 2) (* -1 (pow b 2)))) (* -1 (/ (* b (- (pow b 2) (* -1 (pow b 2)))) a))) a)))))>
#<alt (* -1 (* a (+ b (* -1 (/ (+ (* -1 (- (pow b 2) (* -1 (pow b 2)))) (* -1 (/ (+ (* b (- (pow b 2) (* -1 (pow b 2)))) (/ (* (pow b 2) (- (pow b 2) (* -1 (pow b 2)))) a)) a))) a)))))>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 3) b)>
#<alt (* (pow a 2) b)>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* -1 (* (pow a 3) b))>
#<alt (* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))>
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))>
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))>
#<alt (* a (pow b 3))>
#<alt (* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))>
#<alt (* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))>
#<alt (* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))>
#<alt (* a (pow b 3))>
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))>
#<alt (* a (pow b 3))>
#<alt (* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))>
#<alt (* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))>
#<alt (* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))>
#<alt (* -1 (* (pow a 3) b))>
#<alt (* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))>
#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))>
#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))>
#<alt (* -1 (* (pow a 3) b))>
#<alt (* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))>
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))>
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))>
Calls

111 calls:

TimeVariablePointExpression
17.0ms
b
@0
(* (* (+ b a) (/ (* b a) (- b a))) (- b a))
12.0ms
b
@-inf
(* (- b a) (* (PI) 1/2))
5.0ms
a
@inf
(* (* (+ b a) (/ (* b a) (- b a))) (- b a))
2.0ms
b
@inf
(* (PI) (/ 1/2 (* a (* b b))))
1.0ms
a
@0
(* (PI) (/ 1/2 (* a (* b b))))

rewrite453.0ms (4.1%)

Memory
-12.1MiB live, 411.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 704×/-lowering-/.f32
4 704×/-lowering-/.f64
4 390×*-lowering-*.f32
4 390×*-lowering-*.f64
2 336×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031198
1192160
21813160
08359157
Stop Event
1×iter limit
1×node limit
Counts
22 → 1 342
Calls
Call 1
Inputs
(* (* (+ b a) (/ (* b a) (- b a))) (- b a))
(/ (* (PI) 1/2) (* (* (+ b a) (/ (* b a) (- b a))) (- b a)))
(* (PI) 1/2)
(PI)
(* (PI) (/ 1/2 (* a (* b b))))
(/ 1/2 (* a (* b b)))
(* a (* b b))
(* (/ (PI) (* a a)) (/ 1/2 b))
(/ (PI) (* a a))
(* a a)
(* (/ (+ (* b -1/2) (* a 1/2)) (* (* a a) (* b a))) (PI))
(/ (+ (* b -1/2) (* a 1/2)) (* (* a a) (* b a)))
(+ (* b -1/2) (* a 1/2))
(* a 1/2)
(/ (* (- b a) (* (PI) 1/2)) (* (- b a) (* (* b a) (+ b a))))
(* (- b a) (* (PI) 1/2))
(- b a)
(/ (* b a) (- b a))
(* (+ b a) (/ (* b a) (- b a)))
(* (* a a) (* b a))
(* (* b a) (+ b a))
(* (- b a) (* (* b a) (+ b a)))
Outputs
(+.f64 (*.f64 b (*.f64 b a)) (*.f64 b (*.f64 a a)))
(+.f64 (*.f64 b (*.f64 a a)) (*.f64 b (*.f64 b a)))
(+.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) b) (/.f64 a (-.f64 b a))) b) (*.f64 (*.f64 (*.f64 (+.f64 b a) b) (/.f64 a (-.f64 b a))) (neg.f64 a)))
(+.f64 (*.f64 b (*.f64 (*.f64 (+.f64 b a) b) (/.f64 a (-.f64 b a)))) (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 b a) b) (/.f64 a (-.f64 b a)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (*.f64 a (+.f64 b a)))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b a) (*.f64 b a))) (fma.f64 b (*.f64 b a) (*.f64 a (*.f64 a (neg.f64 b))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 b (*.f64 b a) (*.f64 a (*.f64 a (neg.f64 b))))))
(fma.f64 b (*.f64 b a) (*.f64 b (*.f64 a a)))
(fma.f64 b (*.f64 (*.f64 (+.f64 b a) b) (/.f64 a (-.f64 b a))) (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 b a) b) (/.f64 a (-.f64 b a)))))
(fma.f64 b (*.f64 a a) (*.f64 b (*.f64 b a)))
(fma.f64 a (*.f64 b a) (*.f64 b (*.f64 b a)))
(fma.f64 a (*.f64 b b) (*.f64 b (*.f64 a a)))
(fma.f64 a (neg.f64 (*.f64 b (neg.f64 b))) (*.f64 b (*.f64 a a)))
(fma.f64 (*.f64 b a) b (*.f64 b (*.f64 a a)))
(fma.f64 (*.f64 b a) a (*.f64 b (*.f64 b a)))
(fma.f64 (*.f64 (*.f64 (+.f64 b a) b) (/.f64 a (-.f64 b a))) b (*.f64 (*.f64 (*.f64 (+.f64 b a) b) (/.f64 a (-.f64 b a))) (neg.f64 a)))
(fma.f64 (*.f64 b b) a (*.f64 b (*.f64 a a)))
(fma.f64 (*.f64 b (*.f64 b a)) #s(literal 1 binary64) (*.f64 b (*.f64 a a)))
(fma.f64 (*.f64 a a) b (*.f64 b (*.f64 b a)))
(fma.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a)) (*.f64 b (*.f64 a a)))
(fma.f64 (*.f64 a (neg.f64 b)) (neg.f64 b) (*.f64 b (*.f64 a a)))
(fma.f64 (neg.f64 a) (*.f64 b (neg.f64 b)) (*.f64 b (*.f64 a a)))
(fma.f64 #s(literal -1 binary64) (*.f64 b (*.f64 a (neg.f64 b))) (*.f64 b (*.f64 a a)))
(fma.f64 (*.f64 b (neg.f64 b)) (neg.f64 a) (*.f64 b (*.f64 a a)))
(fma.f64 (neg.f64 (*.f64 b (neg.f64 b))) a (*.f64 b (*.f64 a a)))
(neg.f64 (neg.f64 (*.f64 b (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(/.f64 (-.f64 b a) (/.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a)))))
(/.f64 (*.f64 (*.f64 (+.f64 b a) b) (/.f64 a (-.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(/.f64 (*.f64 b (*.f64 a (+.f64 b a))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
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(*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))
(*.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a))))
(*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (-.f64 b a))
(*.f64 (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))
(*.f64 (neg.f64 (*.f64 b (*.f64 a (+.f64 b a)))) (-.f64 a b))
(*.f64 (-.f64 a b) (neg.f64 (*.f64 b (*.f64 a (+.f64 b a)))))
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))
(*.f64 (*.f64 (*.f64 b a) (-.f64 b a)) (+.f64 b a))
(*.f64 (*.f64 (*.f64 b a) (-.f64 b a)) (neg.f64 (neg.f64 (+.f64 b a))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))))
(*.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a)) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 b a) (*.f64 b b))))
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 b a) (*.f64 b b))))
(*.f64 (*.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (*.f64 (*.f64 b a) (-.f64 a b)) (neg.f64 (+.f64 b a)))
(*.f64 (*.f64 (-.f64 b a) b) (*.f64 a (+.f64 b a)))
(*.f64 (*.f64 (*.f64 (*.f64 b a) (-.f64 b a)) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (*.f64 (*.f64 (*.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (neg.f64 (*.f64 (*.f64 b a) (-.f64 a b))) (+.f64 b a))

simplify578.0ms (5.3%)

Memory
-4.7MiB live, 634.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 440×accelerator-lowering-fma.f32
10 440×accelerator-lowering-fma.f64
4 912×*-lowering-*.f32
4 912×*-lowering-*.f64
3 198×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04804686
115224436
247144354
086484175
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(* (pow a 2) b)
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (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))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (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) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* -1/2 (/ (PI) (pow a 3)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* 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))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ 1/2 (* (pow a 2) b))
(/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ -1/2 (pow a 3))
(- (* 1/2 (/ 1 (* (pow a 2) b))) (* 1/2 (/ 1 (pow a 3))))
(- (* 1/2 (/ 1 (* (pow a 2) b))) (* 1/2 (/ 1 (pow a 3))))
(- (* 1/2 (/ 1 (* (pow a 2) b))) (* 1/2 (/ 1 (pow a 3))))
(/ -1/2 (pow a 3))
(- (* 1/2 (/ 1 (* (pow a 2) b))) (* 1/2 (/ 1 (pow a 3))))
(- (* 1/2 (/ 1 (* (pow a 2) b))) (* 1/2 (/ 1 (pow a 3))))
(- (* 1/2 (/ 1 (* (pow a 2) b))) (* 1/2 (/ 1 (pow a 3))))
(/ -1/2 (pow a 3))
(/ (- (* 1/2 (/ a b)) 1/2) (pow a 3))
(/ (- (* 1/2 (/ a b)) 1/2) (pow a 3))
(/ (- (* 1/2 (/ a b)) 1/2) (pow a 3))
(/ 1/2 (* (pow a 2) b))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/ 1/2 (* (pow a 2) b))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(* 1/2 a)
(+ (* -1/2 b) (* 1/2 a))
(+ (* -1/2 b) (* 1/2 a))
(+ (* -1/2 b) (* 1/2 a))
(* -1/2 b)
(* b (- (* 1/2 (/ a b)) 1/2))
(* b (- (* 1/2 (/ a b)) 1/2))
(* b (- (* 1/2 (/ a b)) 1/2))
(* -1/2 b)
(* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))
(* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))
(* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))
(* -1/2 b)
(+ (* -1/2 b) (* 1/2 a))
(+ (* -1/2 b) (* 1/2 a))
(+ (* -1/2 b) (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (* -1/2 (/ b a))))
(* a (+ 1/2 (* -1/2 (/ b a))))
(* a (+ 1/2 (* -1/2 (/ b a))))
(* 1/2 a)
(* -1 (* a (- (* 1/2 (/ b a)) 1/2)))
(* -1 (* a (- (* 1/2 (/ b a)) 1/2)))
(* -1 (* a (- (* 1/2 (/ b a)) 1/2)))
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (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))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (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) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (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 (* a (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* 1/2 (* b (PI)))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* 1/2 (* b (PI)))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* 1/2 (* b (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* -1/2 (* a (PI)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* -1/2 (* a (PI)))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 a)
(- b a)
(- b a)
(- b a)
b
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1 a)
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 b)
(* b (- (* -1 (/ b a)) 1))
(* b (- (* b (- (* -1 (/ b (pow a 2))) (/ 1 a))) 1))
(* b (- (* b (- (* b (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))) 1))
a
(+ a (/ (pow a 2) b))
(- (+ a (/ (pow a 3) (pow b 2))) (* -1 (/ (pow a 2) b)))
(- (+ a (/ (pow a 4) (pow b 3))) (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow a 3) (pow b 2)))))
a
(+ a (/ (pow a 2) b))
(+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)))
(+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b)))
a
(* a (+ 1 (/ a b)))
(* a (+ 1 (* a (+ (/ 1 b) (/ a (pow b 2))))))
(* a (+ 1 (* a (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b)))))
(* -1 b)
(+ (* -1 b) (* -1 (/ (pow b 2) a)))
(- (+ (* -1 b) (* -1 (/ (pow b 3) (pow a 2)))) (/ (pow b 2) a))
(- (+ (* -1 b) (* -1 (/ (pow b 4) (pow a 3)))) (+ (/ (pow b 2) a) (/ (pow b 3) (pow a 2))))
(* -1 b)
(+ (* -1 b) (* -1 (/ (pow b 2) a)))
(+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) a) (pow b 2)) a)))
(+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3))) a)) (pow b 2)) a)))
(* -1 (* a b))
(* b (+ (* -2 b) (* -1 a)))
(* b (+ (* -1 a) (* b (- (* -2 (/ b a)) 2))))
(* b (+ (* -1 a) (* b (- (* b (- (* -2 (/ b (pow a 2))) (* 2 (/ 1 a)))) 2))))
(* a b)
(* b (- (+ a (/ (pow a 2) b)) (* -1 (/ (pow a 2) b))))
(* b (- (+ a (+ (/ (* a (- (pow a 2) (* -1 (pow a 2)))) (pow b 2)) (/ (pow a 2) b))) (* -1 (/ (pow a 2) b))))
(* b (- (+ a (+ (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 3)) (/ (pow a 2) b))) (+ (* -1 (/ (* a (- (pow a 2) (* -1 (pow a 2)))) (pow b 2))) (* -1 (/ (pow a 2) b)))))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (- (+ (/ (* a (- (pow a 2) (* -1 (pow a 2)))) b) (pow a 2)) (* -1 (pow a 2))) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) b)) (* a (- (pow a 2) (* -1 (pow a 2))))) b)) (pow a 2)) (* -1 (pow a 2))) b)))))
(* a b)
(* a (+ b (* 2 a)))
(* a (+ b (* a (+ 2 (* 2 (/ a b))))))
(* a (+ b (* a (+ 2 (* a (+ (* 2 (/ a (pow b 2))) (* 2 (/ 1 b))))))))
(* -1 (* a b))
(* a (- (+ (* -1 b) (* -1 (/ (pow b 2) a))) (/ (pow b 2) a)))
(* a (- (+ (* -1 b) (+ (* -1 (/ (pow b 2) a)) (/ (* b (- (* -1 (pow b 2)) (pow b 2))) (pow a 2)))) (/ (pow b 2) a)))
(* a (- (+ (* -1 b) (+ (* -1 (/ (pow b 2) a)) (/ (* (pow b 2) (- (* -1 (pow b 2)) (pow b 2))) (pow a 3)))) (+ (* -1 (/ (* b (- (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (/ (pow b 2) a))))
(* -1 (* a b))
(* -1 (* a (- (+ b (/ (pow b 2) a)) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ b (* -1 (/ (+ (* -1 (- (pow b 2) (* -1 (pow b 2)))) (* -1 (/ (* b (- (pow b 2) (* -1 (pow b 2)))) a))) a)))))
(* -1 (* a (+ b (* -1 (/ (+ (* -1 (- (pow b 2) (* -1 (pow b 2)))) (* -1 (/ (+ (* b (- (pow b 2) (* -1 (pow b 2)))) (/ (* (pow b 2) (- (pow b 2) (* -1 (pow b 2)))) a)) a))) a)))))
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 3) b)
(* (pow a 2) b)
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* -1 (* (pow a 3) b))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* a (pow b 3))
(* (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 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* a (pow b 3))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* -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)))))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* -1 (* (pow a 3) b))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
Outputs
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* b (+ (* a b) (pow a 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* b (+ (* a b) (pow a 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* b (+ (* a b) (pow a 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a b) a)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a b) a)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a b) a)))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a b) a)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a b) a)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a b) a)))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (+ (* a b) (pow b 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* a (+ (* a b) (pow b 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* a (+ (* a b) (pow b 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 b (fma.f64 b (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.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 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 a (*.f64 a (PI.f64))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (PI.f64)) b))) 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 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 a (PI.f64)) b)))) b)) (neg.f64 b))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 b (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (*.f64 (PI.f64) (/.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 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (*.f64 b b) (PI.f64)) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (/.f64 (fma.f64 b (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)) (*.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 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (PI.f64))) a)) (neg.f64 a))) (neg.f64 a))) (*.f64 a a))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))
(/ 1/2 (* a (pow b 2)))
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(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) b)) #s(literal 2 binary64)) b))
(* -1 (* a b))
(*.f64 a (neg.f64 b))
(* a (- (+ (* -1 b) (* -1 (/ (pow b 2) a))) (/ (pow b 2) a)))
(*.f64 a (-.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) a) b))
(* a (- (+ (* -1 b) (+ (* -1 (/ (pow b 2) a)) (/ (* b (- (* -1 (pow b 2)) (pow b 2))) (pow a 2)))) (/ (pow b 2) a)))
(*.f64 a (-.f64 (fma.f64 b (/.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) a)) b))
(* a (- (+ (* -1 b) (+ (* -1 (/ (pow b 2) a)) (/ (* (pow b 2) (- (* -1 (pow b 2)) (pow b 2))) (pow a 3)))) (+ (* -1 (/ (* b (- (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (/ (pow b 2) a))))
(*.f64 a (-.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) a))) b))
(* -1 (* a b))
(*.f64 a (neg.f64 b))
(* -1 (* a (- (+ b (/ (pow b 2) a)) (* -1 (/ (pow b 2) a)))))
(*.f64 a (-.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) a) b))
(* -1 (* a (+ b (* -1 (/ (+ (* -1 (- (pow b 2) (* -1 (pow b 2)))) (* -1 (/ (* b (- (pow b 2) (* -1 (pow b 2)))) a))) a)))))
(*.f64 a (+.f64 (neg.f64 b) (/.f64 (fma.f64 b (/.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) a) (*.f64 b (*.f64 b #s(literal -2 binary64)))) a)))
(* -1 (* a (+ b (* -1 (/ (+ (* -1 (- (pow b 2) (* -1 (pow b 2)))) (* -1 (/ (+ (* b (- (pow b 2) (* -1 (pow b 2)))) (/ (* (pow b 2) (- (pow b 2) (* -1 (pow b 2)))) a)) a))) a)))))
(*.f64 a (neg.f64 (+.f64 b (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (/.f64 (fma.f64 b (/.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 b b))) a) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 b b)))) a)) a))))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 3) b)
(*.f64 b (*.f64 a (*.f64 a a)))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* b (+ (* a b) (pow a 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* b (+ (* a b) (pow a 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* b (+ (* a b) (pow a 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a b) a)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a b) a)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a b) a)))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a b) a)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a b) a)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a b) a)))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (+ (* a b) (pow b 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* a (+ (* a b) (pow b 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* a (+ (* a b) (pow b 2)))
(*.f64 a (*.f64 b (+.f64 a b)))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b a) b)))
(* -1 (* (pow a 3) b))
(neg.f64 (*.f64 b (*.f64 a (*.f64 a a))))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(neg.f64 (*.f64 b (*.f64 a (*.f64 a a))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(*.f64 a (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) b)))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(*.f64 a (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) b)))
(* a (pow b 3))
(*.f64 a (*.f64 b (*.f64 b b)))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(*.f64 a (*.f64 b (*.f64 b b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(*.f64 (*.f64 b b) (*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 a a) (*.f64 b b)) a)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(*.f64 (*.f64 b b) (*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 a a) (*.f64 b b)) a)))
(* a (pow b 3))
(*.f64 a (*.f64 b (*.f64 b b)))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 a (*.f64 b (*.f64 b b)))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(*.f64 (*.f64 b b) (*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 a a) (*.f64 b b)) a)))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(*.f64 (*.f64 b b) (*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 a a) (*.f64 b b)) a)))
(* a (pow b 3))
(*.f64 a (*.f64 b (*.f64 b b)))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(*.f64 a (*.f64 b (*.f64 b b)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(*.f64 a (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) b)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(*.f64 a (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) b)))
(* -1 (* (pow a 3) b))
(neg.f64 (*.f64 b (*.f64 a (*.f64 a a))))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(neg.f64 (*.f64 b (*.f64 a (*.f64 a a))))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a a)) (neg.f64 b)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a a)) (neg.f64 b)))
(* -1 (* (pow a 3) b))
(neg.f64 (*.f64 b (*.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(neg.f64 (*.f64 b (*.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a a)) (neg.f64 b)))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 b (*.f64 a a)) (neg.f64 b)))

eval425.0ms (3.9%)

Memory
41.1MiB live, 610.2MiB allocated
Compiler

Compiled 50 782 to 4 562 computations (91% saved)

prune251.0ms (2.3%)

Memory
-19.6MiB live, 742.0MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New2 244142 258
Fresh14216
Picked325
Done112
Total2 262192 281
Accuracy
100.0%
Counts
2 281 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.8%
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) a)
68.5%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) b)
▶93.9%
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b a)))
▶99.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
▶55.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
68.2%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
60.8%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
✓60.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
68.4%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
60.8%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
✓55.0%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
▶60.9%
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
60.8%
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
55.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
▶68.1%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
93.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
68.4%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (PI.f64) b))
68.4%
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) b))
✓60.8%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
Compiler

Compiled 397 to 286 computations (28% saved)

simplify18.0ms (0.2%)

Memory
-3.7MiB live, 34.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 b #s(literal 2 binary64))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64)))
✓cost-diff384
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b a)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) a)
✓cost-diff384
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
✓cost-diff0
(*.f64 (*.f64 a a) b)
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
✓cost-diff0
(*.f64 b a)
✓cost-diff0
(*.f64 b (*.f64 b a))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
✓cost-diff0
(*.f64 (+.f64 b a) (*.f64 b a))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
Rules
356×*-lowering-*.f32
356×*-lowering-*.f64
290×/-lowering-/.f32
290×/-lowering-/.f64
206×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024138
169138
2186138
3348138
4444138
5490138
0490138
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (* (PI) 1/2) (* (+ b a) (* b a)))
(* (PI) 1/2)
(PI)
1/2
(* (+ b a) (* b a))
(+ b a)
b
a
(* b a)
(* (/ 1/2 (* b (* b a))) (PI))
(/ 1/2 (* b (* b a)))
1/2
(* b (* b a))
b
(* b a)
a
(PI)
(/ (* (PI) 1/2) (* (* a a) b))
(* (PI) 1/2)
(PI)
1/2
(* (* a a) b)
(* a a)
a
b
(* (/ (PI) a) (/ 1/2 (* b b)))
(/ (PI) a)
(PI)
a
(/ 1/2 (* b b))
1/2
(* b b)
b
(/ (/ (PI) (* b 2)) (* a (+ b a)))
(/ (PI) (* b 2))
(PI)
(* b 2)
b
2
(* a (+ b a))
a
(+ b a)
Outputs
(/ (* (PI) 1/2) (* (+ b a) (* b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a))))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* (+ b a) (* b a))
(*.f64 a (*.f64 b (+.f64 b a)))
(+ b a)
(+.f64 b a)
b
a
(* b a)
(*.f64 b a)
(* (/ 1/2 (* b (* b a))) (PI))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b a))))
(/ 1/2 (* b (* b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))
1/2
#s(literal 1/2 binary64)
(* b (* b a))
(*.f64 b (*.f64 b a))
b
(* b a)
(*.f64 b a)
a
(PI)
(PI.f64)
(/ (* (PI) 1/2) (* (* a a) b))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b a)))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* (* a a) b)
(*.f64 a (*.f64 b a))
(* a a)
(*.f64 a a)
a
b
(* (/ (PI) a) (/ 1/2 (* b b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b (*.f64 b a))))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(/ 1/2 (* b b))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
1/2
#s(literal 1/2 binary64)
(* b b)
(*.f64 b b)
b
(/ (/ (PI) (* b 2)) (* a (+ b a)))
(/.f64 (PI.f64) (*.f64 a (*.f64 b (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
(/ (PI) (* b 2))
(/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64)))
(PI)
(PI.f64)
(* b 2)
(*.f64 b #s(literal 2 binary64))
b
2
#s(literal 2 binary64)
(* a (+ b a))
(*.f64 a (+.f64 b a))
a
(+ b a)
(+.f64 b a)

localize110.0ms (1%)

Memory
22.8MiB live, 216.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 a (+.f64 b a))
✓accuracy100.0%
(PI.f64)
✓accuracy99.5%
(/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64)))
✓accuracy94.0%
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b a)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (PI.f64) a)
✓accuracy99.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
✓accuracy87.9%
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.4%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
✓accuracy88.4%
(*.f64 (*.f64 a a) b)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 b (*.f64 b a))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
✓accuracy99.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))
✓accuracy100.0%
(*.f64 b a)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 (+.f64 b a) (*.f64 b a))
✓accuracy99.1%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
Samples
57.0ms256×0valid
Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 22.0ms (62.5% of total)
ival-div: 11.0ms (31.2% of total)
ival-pi: 1.0ms (2.8% of total)
ival-add: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-20.2MiB live, 19.0MiB allocated
Counts
18 → 324
Calls
Call 1
Inputs
#<alt (/ (* (PI) 1/2) (* (+ b a) (* b a)))>
#<alt (* (PI) 1/2)>
#<alt (PI)>
#<alt (* (+ b a) (* b a))>
#<alt (* (/ 1/2 (* b (* b a))) (PI))>
#<alt (/ 1/2 (* b (* b a)))>
#<alt (* b (* b a))>
#<alt (* b a)>
#<alt (/ (* (PI) 1/2) (* (* a a) b))>
#<alt (* (* a a) b)>
#<alt (* (/ (PI) a) (/ 1/2 (* b b)))>
#<alt (/ (PI) a)>
#<alt (/ 1/2 (* b b))>
#<alt (/ (/ (PI) (* b 2)) (* a (+ b a)))>
#<alt (/ (PI) (* b 2))>
#<alt (* b 2)>
#<alt (* a a)>
#<alt (* a (+ b a))>
Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* (pow a 2) b)>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a (pow b 2))>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (/ 1/2 (pow b 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* a b)>
#<alt (* a (+ a b))>
#<alt (* a (+ a b))>
#<alt (* a (+ a b))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (pow a 2)>
#<alt (+ (* a b) (pow a 2))>
#<alt (+ (* a b) (pow a 2))>
#<alt (+ (* a b) (pow a 2))>
#<alt (* a b)>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
Calls

81 calls:

TimeVariablePointExpression
0.0ms
b
@0
(/ (PI) (* b 2))
0.0ms
a
@-inf
(* a (+ b a))
0.0ms
b
@inf
(* b 2)
0.0ms
a
@-inf
(/ (PI) a)
0.0ms
b
@-inf
(* b 2)

rewrite780.0ms (7.1%)

Memory
-9.7MiB live, 494.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 434×*-lowering-*.f32
6 434×*-lowering-*.f64
4 144×/-lowering-/.f32
4 144×/-lowering-/.f64
1 636×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024104
1145104
21160104
08778104
Stop Event
1×iter limit
1×node limit
Counts
18 → 1 694
Calls
Call 1
Inputs
(/ (* (PI) 1/2) (* (+ b a) (* b a)))
(* (PI) 1/2)
(PI)
(* (+ b a) (* b a))
(* (/ 1/2 (* b (* b a))) (PI))
(/ 1/2 (* b (* b a)))
(* b (* b a))
(* b a)
(/ (* (PI) 1/2) (* (* a a) b))
(* (* a a) b)
(* (/ (PI) a) (/ 1/2 (* b b)))
(/ (PI) a)
(/ 1/2 (* b b))
(/ (/ (PI) (* b 2)) (* a (+ b a)))
(/ (PI) (* b 2))
(* b 2)
(* a a)
(* a (+ b a))
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 b b)) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b))))
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a))) b) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 a)))
(+.f64 (*.f64 (*.f64 b b) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))
(+.f64 (*.f64 b (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (neg.f64 a) (/.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b a) (/.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (PI.f64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (*.f64 a (+.f64 b a))))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 b a) (*.f64 (*.f64 b a) #s(literal -2 binary64)))) (/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 (*.f64 b a) #s(literal -2 binary64)))))
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(/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) a)) (-.f64 b a))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))) (*.f64 a (+.f64 b a)))) (neg.f64 (fma.f64 b (*.f64 b (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 b a)))) (neg.f64 (*.f64 a (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a)))) (+.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a)) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) a))) (+.f64 (neg.f64 b) a))
(/.f64 (fma.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 a a))))) (fma.f64 a (*.f64 a (*.f64 a a)) (-.f64 (*.f64 b (*.f64 b (*.f64 a a))) (*.f64 a (*.f64 b (*.f64 a a))))))
(/.f64 (*.f64 a (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (*.f64 a (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (+.f64 (neg.f64 b) a))
(/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(*.f64 a (+.f64 b a))
(*.f64 (+.f64 b a) a)
(*.f64 (*.f64 a (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b a)))
(*.f64 (neg.f64 a) (neg.f64 (+.f64 b a)))
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))) a))
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) a))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (+.f64 b a))))
(*.f64 (neg.f64 (+.f64 b a)) (neg.f64 a))
(*.f64 (*.f64 (fma.f64 b (*.f64 b (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b)))) (*.f64 a (+.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (-.f64 a b))))))
(*.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 b a))))
(*.f64 (*.f64 a (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) a) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))

simplify318.0ms (2.9%)

Memory
13.9MiB live, 695.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 468×accelerator-lowering-fma.f32
9 468×accelerator-lowering-fma.f64
5 048×*-lowering-*.f32
5 048×*-lowering-*.f64
2 234×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01692660
14412644
211552628
328972540
448502540
081302480
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (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))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (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) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (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))
(* (pow a 2) b)
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* b (+ (* a b) (pow a 2)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* a (+ (* a b) (pow b 2)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(/ 1/2 (* a (pow b 2)))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a (pow b 2))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ 1/2 (pow b 2))
(/ 1/2 (pow b 2))
(/ 1/2 (pow b 2))
(/ 1/2 (pow b 2))
(/ 1/2 (pow b 2))
(/ 1/2 (pow b 2))
(/ 1/2 (pow b 2))
(/ 1/2 (pow b 2))
(/ 1/2 (pow b 2))
(/ 1/2 (pow b 2))
(/ 1/2 (pow b 2))
(/ 1/2 (pow b 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (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))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (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) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 1/2 (/ (PI) b))
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* a b)
(* a (+ a b))
(* a (+ a b))
(* a (+ a b))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(pow a 2)
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(* a b)
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #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 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #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 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 b (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 b b))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.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 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
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(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(/ 1/2 (pow b 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #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 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #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 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 b (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 b b))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.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 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 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) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.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 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 (PI.f64) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (*.f64 a a) (*.f64 (PI.f64) (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (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 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 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 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.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 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (/.f64 (*.f64 b (*.f64 (PI.f64) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) a)) a)) (*.f64 a a))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* a b)
(*.f64 a b)
(* a (+ a b))
(*.f64 a (+.f64 a b))
(* a (+ a b))
(*.f64 a (+.f64 a b))
(* a (+ a b))
(*.f64 a (+.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(pow a 2)
(*.f64 a a)
(+ (* a b) (pow a 2))
(*.f64 a (+.f64 a b))
(+ (* a b) (pow a 2))
(*.f64 a (+.f64 a b))
(+ (* a b) (pow a 2))
(*.f64 a (+.f64 a b))
(* a b)
(*.f64 a b)
(* b (+ a (/ (pow a 2) b)))
(*.f64 a (+.f64 a b))
(* b (+ a (/ (pow a 2) b)))
(*.f64 a (+.f64 a b))
(* b (+ a (/ (pow a 2) b)))
(*.f64 a (+.f64 a b))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 a (+.f64 a b))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 a (+.f64 a b))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 a (+.f64 a b))

eval307.0ms (2.8%)

Memory
-4.5MiB live, 694.2MiB allocated
Compiler

Compiled 32 428 to 3 214 computations (90.1% saved)

prune235.0ms (2.1%)

Memory
25.1MiB live, 664.5MiB allocated
Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New2 32432 327
Fresh2911
Picked055
Done033
Total2 326202 346
Accuracy
100.0%
Counts
2 346 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.8%
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) a)
68.5%
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) b)
✓93.9%
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b a)))
68.5%
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 a (PI.f64)) b))
92.1%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (PI.f64)) a)
✓99.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
✓55.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
68.2%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
60.8%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
✓60.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
68.4%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
60.8%
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
✓55.0%
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
68.4%
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
✓60.9%
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
60.8%
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
55.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
✓68.1%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
93.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
✓60.8%
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
Compiler

Compiled 945 to 322 computations (65.9% saved)

regimes53.0ms (0.5%)

Memory
-15.5MiB live, 100.0MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (PI.f64)) a)
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b a)))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 a (PI.f64)) b))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) a)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (fma.f64 b #s(literal -1/2 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a))
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a)))))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a)))))
Outputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
Calls

3 calls:

18.0ms
b
17.0ms
a
16.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes68.0ms (0.6%)

Memory
15.5MiB live, 92.4MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (PI.f64)) a)
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b a)))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 a (PI.f64)) b))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) a)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (fma.f64 b #s(literal -1/2 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a))
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
Outputs
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
Calls

3 calls:

38.0ms
b
14.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
14.0ms
a
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes78.0ms (0.7%)

Memory
-28.2MiB live, 76.8MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 b a))) (PI.f64)) a)
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b a)))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 a (PI.f64)) b))
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) a)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (fma.f64 b #s(literal -1/2 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 b a) (+.f64 b a))) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (/.f64 (*.f64 b a) (-.f64 b a))) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 b a))
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
Outputs
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
Calls

3 calls:

47.0ms
(*.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)))
16.0ms
a
13.0ms
b
Results
AccuracySegmentsBranch
99.0%1a
99.0%1b
99.0%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes14.0ms (0.1%)

Memory
1.2MiB live, 39.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
Calls

3 calls:

6.0ms
b
4.0ms
a
4.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
98.9%2a
97.0%2b
93.5%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes13.0ms (0.1%)

Memory
-2.4MiB live, 36.3MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))
Calls

3 calls:

5.0ms
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
76.7%4(*.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)))
90.2%2b
91.9%2a
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a)))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
Calls

1 calls:

3.0ms
a
Results
AccuracySegmentsBranch
91.9%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-28.9MiB live, 14.8MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))
Outputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))
Calls

2 calls:

4.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
86.1%2b
86.4%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
Outputs
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
Calls

2 calls:

2.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
78.8%2b
79.5%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
10.2MiB live, 10.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
b
1.0ms
a
1.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
60.8%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
60.8%1b
60.8%1a
Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
2.0ms
-1.0071681133246386e+146
-2.614844612780213e+145
Samples
1.0ms16×0valid
Compiler

Compiled 52 to 39 computations (25% saved)

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

bsearch20.0ms (0.2%)

Memory
-0.9MiB live, 38.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-1.2198296900006898e-122
-1.3008830654448263e-126
Samples
13.0ms128×0valid
Compiler

Compiled 218 to 164 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (36.4% of total)
ival-mult: 3.0ms (36.4% of total)
ival-sub: 1.0ms (12.1% of total)
ival-pi: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
1.5MiB live, 39.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-1.2198296900006898e-122
-1.3008830654448263e-126
Samples
13.0ms128×0valid
Compiler

Compiled 218 to 164 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (41.6% of total)
ival-mult: 4.0ms (41.6% of total)
ival-sub: 1.0ms (10.4% 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)

bsearch20.0ms (0.2%)

Memory
4.7MiB live, 41.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
-1.2198296900006898e-122
-1.3008830654448263e-126
Samples
14.0ms128×0valid
Compiler

Compiled 218 to 164 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (47.9% of total)
ival-mult: 3.0ms (35.9% of total)
ival-sub: 1.0ms (12% 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)

bsearch20.0ms (0.2%)

Memory
3.1MiB live, 45.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
-1.2198296900006898e-122
-1.3008830654448263e-126
Samples
11.0ms128×0valid
Compiler

Compiled 218 to 164 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48% of total)
ival-mult: 3.0ms (36% of total)
ival-sub: 1.0ms (12% 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)

simplify11.0ms (0.1%)

Memory
-14.2MiB live, 25.2MiB allocated
Algorithm
1×egg-herbie
Rules
34×*-commutative_binary64
6×+-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047170
167170
272170
374170
475170
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(if (<=.f64 a #s(literal -99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)))
(if (<=.f64 a #s(literal -8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))))
(if (<=.f64 a #s(literal -8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)))
(if (<=.f64 a #s(literal -8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)))
(if (<=.f64 a #s(literal -8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))
Outputs
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (+.f64 b a)))
(if (<=.f64 a #s(literal -99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)))
(if (<=.f64 a #s(literal -99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))))
(if (<=.f64 a #s(literal -8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))))
(if (<=.f64 a #s(literal -8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))))
(if (<=.f64 a #s(literal -8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)))
(if (<=.f64 a #s(literal -8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(if (<=.f64 a #s(literal -8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)))
(if (<=.f64 a #s(literal -8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a)))))
(if (<=.f64 a #s(literal -8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b)))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b b))))

soundness780.0ms (7.1%)

Memory
26.7MiB live, 819.5MiB allocated
Rules
20 312×accelerator-lowering-fma.f32
20 312×accelerator-lowering-fma.f64
12 618×accelerator-lowering-fma.f32
12 618×accelerator-lowering-fma.f64
6 700×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01549
111349
2111249
0919049
02911696
17681666
222951612
363831612
083411525
031198
1192160
21813160
08359157
034169
1252169
22829169
08671169
08006629
124455790
089085476
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 412 to 218 computations (47.1% saved)

preprocess141.0ms (1.3%)

Memory
-37.0MiB live, 210.6MiB allocated
Remove

(sort a b)

Compiler

Compiled 474 to 168 computations (64.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...