Metrics for NMSE Section 6.1 mentioned, B

analyze121.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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 24 to 16 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 28.0ms (42% of total)

ival-div: 22.0ms (33% of total)

ival-sub: 10.0ms (15% of total)

ival-pi: 5.0ms (7.5% of total)

const: 1.0ms (1.5% of total)

backward-pass: 0.0ms (0% of total)

sample1.2s (10.4%)

Results

899.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 657.0ms

ival-mult: 276.0ms (42% of total)

ival-div: 243.0ms (37% of total)

ival-sub: 81.0ms (12.3% of total)

ival-pi: 39.0ms (5.9% of total)

const: 14.0ms (2.1% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess504.0ms (4.4%)

Algorithm

2×	egg-herbie

Rules

3816×	`-lowering-.f32`
3816×	`-lowering-.f64`
1474×	`sum3-define`
1386×	`div-sub`
1178×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	106
1	151	96
2	514	96
3	2541	96
4	6731	96
0	15	17
1	40	16
2	103	16
3	404	16
4	1657	16
5	4961	16
0	8476	16

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 2 binary64)) (-.f64 (.f64 b b) (.f64 a 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) (/ (- (recip a) (recip b)) (fmsub b b (* a a))))
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b)))
(* (+ (recip a) (recip b)) (/ (* (PI) 1/2) (fmsub a a (* b b))))
(* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b))))
(* (/ (* (PI) 1/2) (fmsub b b (* a a))) (+ (recip a) (recip b)))
(neg (* (* (/ (PI) 2) (/ 1 (- (* b b) (* (neg a) (neg a))))) (- (/ 1 (neg a)) (/ 1 b))))
(* (/ (* (PI) 1/2) (fmsub b b (* a a))) (+ (recip a) (recip b)))
(neg (* (* (/ (PI) 2) (/ 1 (- (* (neg b) (neg b)) (* a a)))) (- (/ 1 a) (/ 1 (neg b)))))
(* (+ (recip a) (recip b)) (/ (* (PI) 1/2) (fmsub a a (* b b))))
(* (* (/ (PI) 2) (/ 1 (- (* a a) (* b b)))) (- (/ 1 b) (/ 1 a)))
(* (* (PI) 1/2) (/ (- (recip a) (recip b)) (fmsub b b (* a a))))

Symmetry

(sort a b)

explain124.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
35	0	-	3	(-2.2582375373241944e+158 -2.4175440300587276e-55)	`(.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)))`
18	0	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
5	1	(-1.305196092227823e+161 2.0603430963589802e-101)	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	0	-	0	-	`(PI.f64)`
0	0	-	0	-	`b`
0	0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	0	-	0	-	`a`
0	0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	0	-	0	-	`(*.f64 a a)`

Results

71.0ms

512×

valid

Compiler

Compiled 183 to 47 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 16.0ms (41.1% of total)

ival-div: 15.0ms (38.6% of total)

ival-sub: 5.0ms (12.9% of total)

ival-pi: 2.0ms (5.1% of total)

const: 1.0ms (2.6% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))
▶	78.8%	(.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)))

Status

Accuracy

Program

▶

78.9%

(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 a a)))

▶

78.8%

(*.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 42 to 27 computations (35.7% saved)

simplify168.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (PI.f64) a)
✓	cost-diff	0	(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
✓	cost-diff	128	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
✓	cost-diff	256	(.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)))

Rules

3010×	`-lowering-.f32`
3010×	`-lowering-.f64`
1368×	`times-frac`
1350×	`/-lowering-/.f32`
1350×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	119
1	52	116
2	140	116
3	511	116
4	1970	116
5	5985	116
0	8173	116

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)
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (- (* b b) (* a a)))
(/ (- (/ (PI) a) (/ (PI) b)) 2)
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
a
(/ (PI) b)
b
2
(- (* b b) (* a a))
(* b b)
(* a a)

Outputs
(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (-.f64 (.f64 b b) (*.f64 a a)))
(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
(/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(/ 1 (- (* b b) (* a a)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a))
1
#s(literal 1 binary64)
(- (* b b) (* a a))
(-.f64 (.f64 b b) (.f64 a 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)
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (- (* b b) (* a a)))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (-.f64 (.f64 b b) (*.f64 a a)))
(/ (- (/ (PI) a) (/ (PI) b)) 2)
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(/ (PI) b)
(/.f64 (PI.f64) b)
b
2
#s(literal 2 binary64)
(- (* b b) (* a a))
(-.f64 (.f64 b b) (.f64 a a))
(* b b)
(*.f64 b b)
(* a a)
(*.f64 a a)

localize97.0ms (0.9%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	99.5%	(/.f64 (PI.f64) b)
✓	accuracy	93.6%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	87.1%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))
✓	accuracy	99.7%	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
✓	accuracy	98.6%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
✓	accuracy	93.6%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	87.6%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

68.0ms

256×

valid

Compiler

Compiled 136 to 21 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 15.0ms (56.2% of total)

ival-mult: 7.0ms (26.2% of total)

ival-sub: 3.0ms (11.2% of total)

ival-pi: 1.0ms (3.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series17.0ms (0.1%)

Counts

11 → 192

Calls

Call 1

Inputs
#<alt (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))>
#<alt (* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (- (* b b) (* a a)))>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) 2)>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (/ (PI) a)>
#<alt (- (* b b) (* a a))>
#<alt (/ 1 (- (* b b) (* a a)))>
#<alt (/ (PI) b)>

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 (* 1/2 (/ (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) 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))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)>
#<alt (* -1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* -1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))>
#<alt (/ (PI) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (* -1 (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (* -1 (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (* -1 (/ (PI) b))>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (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 (/ (PI) a)>
#<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))>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms	b	@	0	(/ (- (/ (PI) a) (/ (PI) b)) 2)
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)))

rewrite341.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

4378×	`-lowering-.f32`
4378×	`-lowering-.f64`
3528×	`/-lowering-/.f32`
3528×	`/-lowering-/.f64`
1688×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	81
1	171	81
2	1854	81
0	8624	81

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 806

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)
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (- (* b b) (* a a)))
(/ (- (/ (PI) a) (/ (PI) b)) 2)
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(- (* b b) (* a a))
(/ 1 (- (* b b) (* a a)))
(/ (PI) b)

Outputs
(+.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 #s(literal -1 binary64) b)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (.f64 b b) (*.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 (+.f64 b a) (.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 (/.f64 (PI.f64) b) (.f64 (+.f64 b a) (.f64 (-.f64 b a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) b)) (-.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 b b) (*.f64 a a))) (/.f64 #s(literal -1 binary64) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 b b) (*.f64 a a)))))
(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) (-.f64 (.f64 b b) (.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (.f64 b b) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 b a) (.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (.f64 (+.f64 b a) (.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 (.f64 b b) (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (+.f64 b a) (.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 (-.f64 (.f64 (PI.f64) b) (.f64 (PI.f64) a)) (.f64 (.f64 (+.f64 b a) (.f64 (-.f64 b a) #s(literal 2 binary64))) (.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 (-.f64 (.f64 b b) (*.f64 a a)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (neg.f64 (.f64 (+.f64 b a) (.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 a a))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 a a))))))
(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 a (.f64 a a))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 b (.f64 b b)))) (.f64 (.f64 (+.f64 b a) (.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (.f64 a (/.f64 a (PI.f64)))) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))))
(/.f64 (-.f64 (/.f64 (PI.f64) (.f64 a (/.f64 a (PI.f64)))) (/.f64 (/.f64 (PI.f64) b) (/.f64 b (PI.f64)))) (.f64 (.f64 (+.f64 b a) (.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1 binary64)) (.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (.f64 b b) (.f64 a a))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b a)))
(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b)))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (.f64 (+.f64 b a) (.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 b a)))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))))) (.f64 (.f64 (+.f64 b a) (.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 (.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b)))) (.f64 (.f64 (+.f64 b a) (.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (*.f64 b a)))
(/.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 (.f64 (/.f64 (PI.f64) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b)))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 b a) (-.f64 (.f64 b b) (*.f64 a a))))
(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 b a) (.f64 (+.f64 b a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (neg.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 b b) (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 b b) (.f64 a a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (neg.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 a a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (neg.f64 (+.f64 (.f64 b b) (.f64 a a))))
(/.f64 (neg.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (*.f64 a a)))))
(/.f64 (neg.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (neg.f64 (-.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 a a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a))))) (+.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (*.f64 a a))))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a)))) (-.f64 (-.f64 (.f64 b b) (.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 b b) (.f64 a a))))) (.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 b b) (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 b b) (.f64 a a)))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 b b) (*.f64 a a))))))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 b b) (.f64 a a))) (.f64 (+.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (.f64 (+.f64 (.f64 b b) (.f64 a a)) (+.f64 (.f64 b b) (*.f64 a a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (neg.f64 (neg.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 b b) (*.f64 a a)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (neg.f64 (neg.f64 (+.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (neg.f64 (+.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a)))))) (neg.f64 (+.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (*.f64 a a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a))))) (neg.f64 (-.f64 (-.f64 (.f64 b b) (.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a)))))
(pow.f64 (-.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 b b) (.f64 a a)))) (-.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 b b) (*.f64 a a)) #s(literal 1 binary64))
(*.f64 (-.f64 b a) (+.f64 b a))
(.f64 (-.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 b b) (.f64 a a))))))
(.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (*.f64 a a))))
(*.f64 (+.f64 b a) (-.f64 b a))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 b b) (*.f64 a a))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (.f64 b b) (.f64 a a))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 a a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b 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))) (neg.f64 (-.f64 b a)))
(pow.f64 (-.f64 (.f64 b b) (.f64 a a)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (*.f64 a a))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 a a)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (.f64 b b) (*.f64 a a)) #s(literal -1/2 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 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 b b) (.f64 a a)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 b b) (.f64 a a))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (+.f64 (.f64 b b) (*.f64 a a)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (*.f64 a a))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (PI.f64) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (PI.f64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (PI.f64) b)
(/.f64 #s(literal 1 binary64) (/.f64 b (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) b))

simplify260.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4996×	`-lowering-.f32`
4996×	`-lowering-.f64`
1854×	`/-lowering-/.f32`
1854×	`/-lowering-/.f64`
1820×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	303	2631
1	885	2568
2	2827	2478
3	7434	2474
0	8272	2474

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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))
(* 1/2 (/ (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) 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))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (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 (/ (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)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) 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) 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)))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(* -1 (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(* -1 (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(* -1 (/ (PI) b))
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (PI) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(/ (PI) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(/ (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 (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))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)

Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 b #s(literal -1/2 binary64))) 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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) (.f64 b (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 a (.f64 a a)))) (.f64 b (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a (.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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) (.f64 b (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 a (.f64 a a)))) (.f64 b (+.f64 (/.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 (*.f64 a a)))))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(/ (+ (* -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 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (.f64 (/.f64 (PI.f64) b) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a b)) #s(literal -1/2 binary64)))) (.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (.f64 (PI.f64) a) (.f64 b b)))) (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))) (/.f64 (PI.f64) b)))) (.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(/ (+ (* -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 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (+.f64 (/.f64 (.f64 a (.f64 (PI.f64) #s(literal -1/2 binary64))) b) (.f64 #s(literal 1/2 binary64) (PI.f64))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (PI.f64) (.f64 a a)) b)) (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) a))) b)) b)) (.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) (.f64 a (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 b (.f64 b b)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) a)) (.f64 b (.f64 b (*.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 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 b (.f64 b b)))) (.f64 a (+.f64 (/.f64 (.f64 a (.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (.f64 b (*.f64 b b))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a 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 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) b) 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 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (.f64 (PI.f64) (/.f64 b (.f64 a a))))) (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (/.f64 (PI.f64) a)))) (.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a 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 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) b)) a)) 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 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 #s(literal -1/2 binary64) (.f64 b b))) a) (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) b))) a)) a)) (.f64 a a))
(* -1/2 (/ (PI) (pow a 2)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (.f64 a a)) (.f64 (PI.f64) (/.f64 (/.f64 (.f64 b (/.f64 b (*.f64 a a))) a) a))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (.f64 a a)) (.f64 (.f64 b b) (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 6 binary64)))))))
(+ (* -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))))))))
(+.f64 (/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (.f64 (.f64 b b) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (+.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 8 binary64)))))))))
(* 1/2 (/ (PI) (pow b 2)))
(.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 a a)) b) b))) (.f64 b b))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))))) (*.f64 b b))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (PI.f64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))) (+.f64 (PI.f64) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 a a)) b) b)))) (*.f64 b b))
(* 1/2 (/ (PI) (pow b 2)))
(.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 a a)) b) b))) (.f64 b b))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))))) (*.f64 b b))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (PI.f64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))) (+.f64 (PI.f64) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 a a)) b) b)))) (*.f64 b b))
(* 1/2 (/ (PI) (pow b 2)))
(.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 (.f64 (PI.f64) (.f64 a a)) (.f64 b (.f64 b (*.f64 b b))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (.f64 (PI.f64) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64)))))))
(+ (* 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))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) (.f64 (.f64 a a) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (+.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (.f64 (PI.f64) (.f64 a a)) (pow.f64 b #s(literal 8 binary64)))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (.f64 (PI.f64) (.f64 b (/.f64 b (.f64 a a)))))) (*.f64 a a))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (.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))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (PI.f64) (.f64 b (/.f64 b (.f64 a a)))) (+.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (/.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))
(* -1/2 (/ (PI) (pow a 2)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (.f64 (PI.f64) (.f64 b (/.f64 b (.f64 a a)))))) (*.f64 a a))
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(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (/.f64 (.f64 a a) (.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (/.f64 (.f64 a a) (.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (.f64 a a) (.f64 b (.f64 b (*.f64 b b)))))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))))))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 8 binary64))))))))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (.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 (-.f64 #s(literal -1 binary64) (.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 (-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (.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 (-.f64 #s(literal -1 binary64) (.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))
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)

eval148.0ms (1.3%)

Compiler: Compiled 33099 to 3331 computations (89.9% saved)

prune141.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1158	14	1172
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1160	14	1174

Accuracy

99.9%

Counts

1174 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
	23.5%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) b) (.f64 b a)) (.f64 (.f64 b a) (.f64 (PI.f64) a))) (.f64 b (.f64 b (.f64 a a)))) #s(literal 2 binary64)) (-.f64 (.f64 b b) (*.f64 a a)))
	53.6%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (*.f64 b b))
	78.9%	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 #s(literal 2 binary64) (PI.f64)))
	54.0%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) b) (-.f64 (.f64 b b) (*.f64 a a)))
▶	53.6%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
	48.1%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
	60.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
▶	55.8%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
	48.4%	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶	99.7%	(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
	78.9%	(.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
▶	53.6%	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 504 to 334 computations (33.7% saved)

simplify279.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (PI.f64) a)
✓	cost-diff	0	(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a))
✓	cost-diff	0	(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) (*.f64 b b))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b)))
✓	cost-diff	128	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
✓	cost-diff	0	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) (*.f64 a a))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
✓	cost-diff	0	(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a))
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))

Rules

2606×	`-lowering-.f32`
2606×	`-lowering-.f64`
1694×	`sum3-define`
1500×	`sum5-define`
1352×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	231
1	86	231
2	221	231
3	608	231
4	1768	231
5	5050	231
0	8063	231

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a))
(/ (- (/ (PI) a) (/ (PI) b)) 2)
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
a
(/ (PI) b)
b
2
(+ b a)
(- b a)
(/ (* 1/2 (/ (PI) (* a a))) b)
(* 1/2 (/ (PI) (* a a)))
1/2
(/ (PI) (* a a))
(PI)
(* a a)
a
b
(/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b))
(* (PI) (+ (/ -1/2 b) (/ 1/2 a)))
(PI)
(+ (/ -1/2 b) (/ 1/2 a))
(/ -1/2 b)
-1/2
b
(/ 1/2 a)
1/2
a
(* b b)
(* (* 1/2 (/ (PI) (* b b))) (- (/ 1 a) (/ 1 b)))
(* 1/2 (/ (PI) (* b b)))
1/2
(/ (PI) (* b b))
(PI)
(* b b)
b
(- (/ 1 a) (/ 1 b))
(/ 1 a)
1
a
(/ 1 b)
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
a
(/ (PI) b)
b
(+ b a)
(/ 1/2 (- b a))
1/2
(- b a)

Outputs
(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 a b) (-.f64 b a))))
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/ (- (/ (PI) a) (/ (PI) b)) 2)
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(/ (PI) b)
(/.f64 (PI.f64) b)
b
2
#s(literal 2 binary64)
(+ b a)
(+.f64 a b)
(- b a)
(-.f64 b a)
(/ (* 1/2 (/ (PI) (* a a))) b)
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a) a)
(* 1/2 (/ (PI) (* a a)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) a)
1/2
#s(literal 1/2 binary64)
(/ (PI) (* a a))
(/.f64 (/.f64 (PI.f64) a) a)
(PI)
(PI.f64)
(* a a)
(*.f64 a a)
a
b
(/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
(* (PI) (+ (/ -1/2 b) (/ 1/2 a)))
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(PI)
(PI.f64)
(+ (/ -1/2 b) (/ 1/2 a))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(/ -1/2 b)
(/.f64 #s(literal -1/2 binary64) b)
-1/2
#s(literal -1/2 binary64)
b
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
a
(* b b)
(*.f64 b b)
(* (* 1/2 (/ (PI) (* b b))) (- (/ 1 a) (/ 1 b)))
(/.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 b)))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) b)
1/2
#s(literal 1/2 binary64)
(/ (PI) (* b b))
(/.f64 (PI.f64) (*.f64 b b))
(PI)
(PI.f64)
(* b b)
(*.f64 b b)
b
(- (/ 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
#s(literal 1 binary64)
a
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 (+.f64 a b) (-.f64 b a)))
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(/ (PI) b)
(/.f64 (PI.f64) b)
b
(+ b a)
(+.f64 a b)
(/ 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)

localize199.0ms (1.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
✓	accuracy	99.7%	(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a))
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	99.5%	(/.f64 (PI.f64) b)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b)))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓	accuracy	98.7%	(/.f64 (PI.f64) (*.f64 b b))
✓	accuracy	93.6%	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
✓	accuracy	99.5%	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
✓	accuracy	93.4%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a)))
✓	accuracy	99.3%	(/.f64 (PI.f64) (*.f64 a a))
✓	accuracy	87.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
✓	accuracy	99.7%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a))
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	99.5%	(/.f64 (PI.f64) b)

Results

115.0ms

256×

valid

Compiler

Compiled 240 to 35 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 43.0ms (59.8% of total)

ival-mult: 20.0ms (27.8% of total)

ival-sub: 4.0ms (5.6% of total)

ival-add: 3.0ms (4.2% of total)

ival-pi: 1.0ms (1.4% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series36.0ms (0.3%)

Counts

19 → 360

Calls

Call 1

Inputs
#<alt (/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))>
#<alt (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a))>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) 2)>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (/ (* 1/2 (/ (PI) (* a a))) b)>
#<alt (* 1/2 (/ (PI) (* a a)))>
#<alt (/ (PI) (* a a))>
#<alt (PI)>
#<alt (/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b))>
#<alt (* (PI) (+ (/ -1/2 b) (/ 1/2 a)))>
#<alt (+ (/ -1/2 b) (/ 1/2 a))>
#<alt (* (* 1/2 (/ (PI) (* b b))) (- (/ 1 a) (/ 1 b)))>
#<alt (* 1/2 (/ (PI) (* b b)))>
#<alt (/ (PI) (* b b))>
#<alt (* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) (+ b a))>
#<alt (/ (PI) a)>
#<alt (/ (PI) b)>
#<alt (- (/ 1 a) (/ 1 b))>

Outputs
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)>
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#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (* -1/2 (/ (PI) (pow b 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (* -1/2 (/ (PI) (pow b 3)))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (/ (PI) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (/ (PI) (* a b))>
#<alt (/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (PI) (* -1 (PI))) a)) (/ (PI) b)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (* b (- (PI) (* -1 (PI)))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* -1 (* b (- (PI) (* -1 (PI)))))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (PI) (* a b))>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)>
#<alt (/ (PI) (* a b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))>
#<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 (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<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))>

Calls

90 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(/ (* 1/2 (/ (PI) (* a a))) b)
2.0ms	b	@	-inf	(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a))
2.0ms	b	@	-inf	(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))
1.0ms	a	@	0	(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))
1.0ms	b	@	0	(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))

rewrite346.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3804×	`/-lowering-/.f32`
3804×	`/-lowering-/.f64`
2936×	`-lowering-.f32`
2936×	`-lowering-.f64`
1858×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	161
1	257	159
2	2866	159
0	8622	159

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1054

Calls

Call 1

Inputs
(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))
(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a))
(/ (- (/ (PI) a) (/ (PI) b)) 2)
(- (/ (PI) a) (/ (PI) b))
(/ (* 1/2 (/ (PI) (* a a))) b)
(* 1/2 (/ (PI) (* a a)))
(/ (PI) (* a a))
(PI)
(/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b))
(* (PI) (+ (/ -1/2 b) (/ 1/2 a)))
(+ (/ -1/2 b) (/ 1/2 a))
(* (* 1/2 (/ (PI) (* b b))) (- (/ 1 a) (/ 1 b)))
(* 1/2 (/ (PI) (* b b)))
(/ (PI) (* b b))
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))
(/ (- (/ (PI) a) (/ (PI) b)) (+ b a))
(/ (PI) a)
(/ (PI) b)
(- (/ 1 a) (/ 1 b))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (+.f64 a b))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (/.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a))))
(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -2 binary64)) (+.f64 a b)) (-.f64 b a)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (.f64 (-.f64 (.f64 b b) (*.f64 a a)) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (.f64 (-.f64 b a) (.f64 #s(literal 2 binary64) (+.f64 a b))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (-.f64 b a))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (neg.f64 (*.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) (-.f64 b a)))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (neg.f64 (*.f64 (-.f64 b a) (-.f64 #s(literal 0 binary64) (+.f64 a b)))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (-.f64 b a))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) (-.f64 b a)))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 #s(literal 0 binary64) (-.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (-.f64 b a))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 b b) (*.f64 a a)) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (+.f64 a b) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (+.f64 a b))))))
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(fma.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 a b)) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) b))
(/.f64 (-.f64 b a) (*.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a b) (-.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a)) (neg.f64 (*.f64 a b)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (.f64 a #s(literal -1 binary64))) (*.f64 a (-.f64 #s(literal 0 binary64) b)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b)) (.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b a))) (neg.f64 (neg.f64 (*.f64 a b))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (.f64 a #s(literal -1 binary64)))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) a) b)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b)) (.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (neg.f64 (/.f64 (-.f64 b a) a)) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 (*.f64 a b) (-.f64 b a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 b b)))) #s(literal -1 binary64))
(.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 a b)))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))

simplify363.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

5070×	`-lowering-.f32`
5070×	`-lowering-.f64`
2152×	`+-lowering-+.f64`
2152×	`+-lowering-+.f32`
1854×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	503	5582
1	1689	4863
2	6477	4830
0	8886	4830

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* 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) 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 b)))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))) (* 1/2 (/ (PI) b))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4))))) (* 1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))))))) a)
(* -1/2 (/ (PI) (* a b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (- (PI) (* -1 (PI))) a))) a)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (* 1/2 (/ (- (PI) (* -1 (PI))) a)))) a)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3))) (* 1/2 (/ (- (PI) (* -1 (PI))) a))))) a)
(* -1/2 (/ (PI) (* a b)))
(* -1 (/ (+ (* -1/2 (/ (- (PI) (* -1 (PI))) a)) (* 1/2 (/ (PI) b))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* 1/2 (* b (- (PI) (* -1 (PI)))))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a))
(* -1/2 (/ (PI) (* a b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))) (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))))))) b)
(* 1/2 (/ (PI) (* a b)))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))) b)
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b)))) b)
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3))) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))))) b)
(* 1/2 (/ (PI) (* a b)))
(* -1 (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* 1/2 (* a (- (* -1 (PI)) (PI))))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (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 (/ (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)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) 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) 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)))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(* -1 (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(* -1 (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(* -1 (/ (PI) b))
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (PI) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(/ (PI) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) 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)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (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))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(* -1/2 (/ (PI) (pow b 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(* 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))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 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))) (pow b 2))
(/ (+ (* -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 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(* -1/2 (/ (PI) b))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) 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) 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 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (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 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(/ -1/2 b)
(/ (- (* 1/2 (/ b a)) 1/2) b)
(/ (- (* 1/2 (/ b a)) 1/2) b)
(/ (- (* 1/2 (/ b a)) 1/2) b)
(/ 1/2 a)
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(/ 1/2 a)
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ a b))) a)
(/ (+ 1/2 (* -1/2 (/ a b))) a)
(/ (+ 1/2 (* -1/2 (/ a b))) a)
(/ -1/2 b)
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(/ -1/2 b)
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))
(* -1/2 (/ (PI) (pow b 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(* 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))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 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))) (pow b 2))
(/ (+ (* -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 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (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) 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))
(/ (PI) (* a b))
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)
(* -1 (/ (PI) (* a b)))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)
(* -1 (/ (PI) (* a b)))
(* -1 (/ (+ (* -1 (/ (- (PI) (* -1 (PI))) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (* b (- (PI) (* -1 (PI)))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))
(* -1 (/ (+ (* -1 (/ (- (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) a)) (* -1 (* b (- (PI) (* -1 (PI)))))) a))) (* -1 (PI))) a)) (/ (PI) b)) a))
(* -1 (/ (PI) (* a b)))
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/ (PI) (* a b))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(/ (PI) (* a b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) 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 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))

Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) a)
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)) (.f64 b b)) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (PI.f64) (*.f64 b b)))) 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)
(/.f64 (+.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)) (.f64 b b)) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)) (.f64 b b)) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 0 binary64)) (.f64 b b)))))) 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)
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(/.f64 (-.f64 (/.f64 (.f64 b (.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 a a)) (/.f64 (PI.f64) a)) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/.f64 (-.f64 (.f64 b (+.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) a) a) (.f64 b (.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) a) #s(literal -2 binary64))))) (/.f64 (PI.f64) a)) b)
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)
(/.f64 (-.f64 (.f64 b (+.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) a) a) (.f64 b (+.f64 (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) a) #s(literal -2 binary64)) (.f64 b (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))))))) (/.f64 (PI.f64) a)) b)
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)
(/.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)
(/.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (.f64 a (.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal -2 binary64))) b)) b)
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (.f64 a (.f64 a (.f64 (PI.f64) #s(literal -2 binary64)))) (.f64 b (.f64 b b)))) (/.f64 (.f64 (PI.f64) #s(literal -2 binary64)) b)) (/.f64 (.f64 a (.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64))) b)) b)
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (/.f64 (PI.f64) a)) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (.f64 a (.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64))) (.f64 (PI.f64) #s(literal -2 binary64))) b))) b)
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)))) (.f64 a (.f64 #s(literal 2 binary64) (PI.f64)))) b) (.f64 (PI.f64) #s(literal -2 binary64))) 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)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ (- (/ b a) 1) b)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 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 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(- (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))

eval251.0ms (2.2%)

Compiler: Compiled 43322 to 4880 computations (88.7% saved)

prune234.0ms (2.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	1861	17	1878
Fresh	6	3	9
Picked	5	0	5
Done	0	0	0
Total	1872	20	1892

Accuracy

100.0%

Counts

1892 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 b (PI.f64))) (.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64))) (*.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
	56.1%	(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a) b)
	99.6%	(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
▶	99.7%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (+.f64 a b))
	54.0%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) b) (-.f64 (.f64 b b) (*.f64 a a)))
	70.0%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) (-.f64 b a))
	66.5%	(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a))
	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (+.f64 a b))) (-.f64 b a))
	55.8%	(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) (PI.f64))) b)
	60.0%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b)
▶	60.3%	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) a)
	60.3%	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 b b))
▶	48.1%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
	55.9%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a)))
	60.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (.f64 b b))
▶	56.1%	(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a)))
	48.4%	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶	61.9%	(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)) #s(literal 1/2 binary64))
	70.0%	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	66.5%	(.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))

Compiler

Compiled 602 to 412 computations (31.6% saved)

simplify199.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
✓	cost-diff	0	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
✓	cost-diff	0	(/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a)
✓	cost-diff	0	(/.f64 b (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b)))
✓	cost-diff	0	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) a)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) a)
✓	cost-diff	0	(/.f64 (/.f64 (PI.f64) a) (*.f64 a b))
✓	cost-diff	0	(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (PI.f64) a)
✓	cost-diff	0	(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (+.f64 a b))

Rules

3306×	`-lowering-.f32`
3306×	`-lowering-.f64`
1948×	`sum4-define`
1472×	`sum3-define`
1212×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	193
1	86	193
2	209	193
3	466	193
4	1088	193
5	3622	193
0	8526	193

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (- (/ (PI) a) (/ (PI) b)) (/ (- b a) 1/2)) (+ a b))
(/ (- (/ (PI) a) (/ (PI) b)) (/ (- b a) 1/2))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(PI)
a
(/ (PI) b)
b
(/ (- b a) 1/2)
(- b a)
1/2
(+ a b)
(* (/ (/ (PI) a) (* a b)) 1/2)
(/ (/ (PI) a) (* a b))
(/ (PI) a)
(PI)
a
(* a b)
b
1/2
(/ (* (PI) (/ 1/2 (* b b))) a)
(* (PI) (/ 1/2 (* b b)))
(PI)
(/ 1/2 (* b b))
1/2
(* b b)
b
a
(/ 1 (/ b (/ (/ (/ (PI) a) 2) a)))
1
(/ b (/ (/ (/ (PI) a) 2) a))
b
(/ (/ (/ (PI) a) 2) a)
(/ (/ (PI) a) 2)
(/ (PI) a)
(PI)
a
2
(/ (* (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)

Outputs
(/ (/ (- (/ (PI) a) (/ (PI) b)) (/ (- b a) 1/2)) (+ a b))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal 1/2 binary64)))
(/ (- (/ (PI) a) (/ (PI) b)) (/ (- b a) 1/2))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(- (/ (PI) a) (/ (PI) b))
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(/ (PI) b)
(/.f64 (PI.f64) b)
b
(/ (- b a) 1/2)
(/.f64 (-.f64 b a) #s(literal 1/2 binary64))
(- b a)
(-.f64 b a)
1/2
#s(literal 1/2 binary64)
(+ a b)
(+.f64 a b)
(* (/ (/ (PI) a) (* a b)) 1/2)
(/.f64 (PI.f64) (.f64 a (.f64 a (*.f64 b #s(literal 2 binary64)))))
(/ (/ (PI) a) (* a b))
(/.f64 (/.f64 (/.f64 (PI.f64) a) a) b)
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(* a b)
(*.f64 a b)
b
1/2
#s(literal 1/2 binary64)
(/ (* (PI) (/ 1/2 (* b b))) a)
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) b) a)
(* (PI) (/ 1/2 (* b b)))
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) b)
(PI)
(PI.f64)
(/ 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
a
(/ 1 (/ b (/ (/ (/ (PI) a) 2) a)))
(/.f64 (PI.f64) (.f64 a (.f64 a (*.f64 b #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(/ b (/ (/ (/ (PI) a) 2) a))
(/.f64 b (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a))
b
(/ (/ (/ (PI) a) 2) a)
(/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a)
(/ (/ (PI) a) 2)
(/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
2
#s(literal 2 binary64)
(/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) 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)

localize131.0ms (1.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
✓	accuracy	99.5%	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
✓	accuracy	93.6%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
✓	accuracy	99.9%	(/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a)
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a)))
✓	accuracy	86.6%	(/.f64 b (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b)))
✓	accuracy	98.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
✓	accuracy	89.3%	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) a)
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (/.f64 (PI.f64) a) (*.f64 a b))
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	99.8%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (+.f64 a b))
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	99.5%	(/.f64 (PI.f64) b)
✓	accuracy	99.3%	(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))

Results

83.0ms

256×

valid

Compiler

Compiled 198 to 33 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 27.0ms (61.4% of total)

ival-mult: 10.0ms (22.7% of total)

ival-sub: 2.0ms (4.5% of total)

ival-add: 2.0ms (4.5% of total)

ival-pi: 1.0ms (2.3% of total)

const: 1.0ms (2.3% of total)

backward-pass: 0.0ms (0% of total)

series27.0ms (0.2%)

Counts

19 → 360

Calls

Call 1

Inputs
#<alt (/ (/ (- (/ (PI) a) (/ (PI) b)) (/ (- b a) 1/2)) (+ a b))>
#<alt (/ (- (/ (PI) a) (/ (PI) b)) (/ (- b a) 1/2))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (/ (PI) a)>
#<alt (* (/ (/ (PI) a) (* a b)) 1/2)>
#<alt (/ (/ (PI) a) (* a b))>
#<alt (PI)>
#<alt (/ (* (PI) (/ 1/2 (* b b))) a)>
#<alt (* (PI) (/ 1/2 (* b b)))>
#<alt (/ 1/2 (* b b))>
#<alt (/ 1 (/ b (/ (/ (/ (PI) a) 2) a)))>
#<alt (/ b (/ (/ (/ (PI) a) 2) a))>
#<alt (/ (/ (/ (PI) a) 2) a)>
#<alt (/ (/ (PI) a) 2)>
#<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 (/ (PI) b)>
#<alt (* a b)>

Outputs
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (/ (PI) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)>
#<alt (* -1 (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (* -1 (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (- (/ (PI) a) (/ (PI) b))>
#<alt (* -1 (/ (PI) b))>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (- (/ (* b (PI)) a) (PI)) b)>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (/ (PI) a)>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (PI) a))>
#<alt (+ (* -1 (/ (PI) b)) (/ (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 (/ (PI) a)>
#<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) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (pow a 2) b))>
#<alt (/ (PI) (* (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 (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (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 (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 (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 2 (/ (* (pow a 2) b) (PI)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<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 (/ (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) a))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)>
#<alt (* 1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)>
#<alt (* -1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (* -1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))>
#<alt (/ -1/2 a)>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) a)>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) a)>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) a)>
#<alt (/ 1/2 b)>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (/ 1/2 b)>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) b)>
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) b)>
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) b)>
#<alt (/ -1/2 a)>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (/ -1/2 a)>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) 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 (* a b)>

Calls

90 calls:

Time	Variable		Point	Expression
8.0ms	b	@	0	(/ b (/ (/ (/ (PI) a) 2) a))
1.0ms	a	@	0	(/ (* (PI) (/ 1/2 (* b b))) a)
1.0ms	b	@	0	(/ (- (/ (PI) a) (/ (PI) b)) (/ (- b a) 1/2))
1.0ms	a	@	0	(/ b (/ (/ (/ (PI) a) 2) a))
1.0ms	a	@	inf	(/ (- (/ (PI) a) (/ (PI) b)) (/ (- b a) 1/2))

rewrite378.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4276×	`/-lowering-/.f32`
4276×	`/-lowering-/.f64`
2694×	`-lowering-.f32`
2694×	`-lowering-.f64`
1650×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	143
1	246	142
2	2475	142
0	8346	142

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1020

Calls

Call 1

Inputs
(/ (/ (- (/ (PI) a) (/ (PI) b)) (/ (- b a) 1/2)) (+ a b))
(/ (- (/ (PI) a) (/ (PI) b)) (/ (- b a) 1/2))
(- (/ (PI) a) (/ (PI) b))
(/ (PI) a)
(* (/ (/ (PI) a) (* a b)) 1/2)
(/ (/ (PI) a) (* a b))
(PI)
(/ (* (PI) (/ 1/2 (* b b))) a)
(* (PI) (/ 1/2 (* b b)))
(/ 1/2 (* b b))
(/ 1 (/ b (/ (/ (/ (PI) a) 2) a)))
(/ b (/ (/ (/ (PI) a) 2) a))
(/ (/ (/ (PI) a) 2) a)
(/ (/ (PI) a) 2)
(/ (* (PI) (+ (/ -1/2 a) (/ 1/2 b))) (* a a))
(* (PI) (+ (/ -1/2 a) (/ 1/2 b)))
(+ (/ -1/2 a) (/ 1/2 b))
(/ (PI) b)
(* a b)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (/.f64 (/.f64 (PI.f64) b) (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (+.f64 a b)) (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (+.f64 a b)))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) b) (.f64 a b)) (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (/.f64 (/.f64 (.f64 (PI.f64) a) (.f64 a b)) (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 a (.f64 a a))) (+.f64 (/.f64 (PI.f64) (.f64 a (/.f64 a (PI.f64)))) (.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 b (.f64 b b))) (+.f64 (/.f64 (PI.f64) (.f64 a (/.f64 a (PI.f64)))) (.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))) (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (.f64 a (/.f64 a (PI.f64)))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (/.f64 (/.f64 (/.f64 (PI.f64) (.f64 (/.f64 b (PI.f64)) b)) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)))) (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)))))
(-.f64 (/.f64 (.f64 (PI.f64) b) (.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (.f64 a b))) (/.f64 (.f64 (PI.f64) a) (.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 a b))) (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal -1/2 binary64))) (+.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (neg.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 a b) (/.f64 (-.f64 b a) #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (.f64 (+.f64 a b) (/.f64 (-.f64 b a) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 a (.f64 a a))) (.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (+.f64 (/.f64 (PI.f64) (.f64 a (/.f64 a (PI.f64)))) (.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 b (.f64 b b))) (.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (+.f64 (/.f64 (PI.f64) (.f64 a (/.f64 a (PI.f64)))) (.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))))
(-.f64 (/.f64 (/.f64 (PI.f64) (.f64 a (/.f64 a (PI.f64)))) (.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (/.f64 (/.f64 (PI.f64) (.f64 (/.f64 b (PI.f64)) b)) (.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal -1/2 binary64))) (+.f64 a b)))
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (+.f64 a b))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 b a) (.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (PI.f64) b) (.f64 (PI.f64) a)) (.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (.f64 a b)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) (neg.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) (*.f64 (+.f64 a b) (/.f64 (-.f64 b a) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 a (.f64 a a))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 b (.f64 b b)))) (.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (+.f64 (/.f64 (PI.f64) (.f64 a (/.f64 a (PI.f64)))) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (-.f64 b a) (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (/.f64 (PI.f64) (.f64 a (/.f64 a (PI.f64)))) (/.f64 (PI.f64) (.f64 (/.f64 b (PI.f64)) b))) (*.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1 binary64)) (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 b a) #s(literal -1/2 binary64)) (+.f64 a b)))
(/.f64 (neg.f64 (-.f64 (.f64 (PI.f64) b) (.f64 (PI.f64) a))) (neg.f64 (.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (.f64 a b))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 a (.f64 a a))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 b (.f64 b b))))) (neg.f64 (.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (+.f64 (/.f64 (PI.f64) (.f64 a (/.f64 a (PI.f64)))) (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (PI.f64) (.f64 a (/.f64 a (PI.f64)))) (/.f64 (PI.f64) (.f64 (/.f64 b (PI.f64)) b)))) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))) (neg.f64 (neg.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b))) (neg.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 b a) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 a b))
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (/.f64 (-.f64 b a) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b))) (neg.f64 (/.f64 (-.f64 b a) (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))))
(/.f64 (neg.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 (-.f64 b a) #s(literal -1/2 binary64)) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (/.f64 (-.f64 b a) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 a b))) (/.f64 (-.f64 b a) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (-.f64 b a) (.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (+.f64 a b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 a b) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))))
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (+.f64 a b)))
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))))
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b #s(literal 1/2 binary64))) (.f64 a #s(literal 1 binary64)))) (neg.f64 (*.f64 a (/.f64 b #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) b)) (.f64 a #s(literal -1/2 binary64)))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a)) (.f64 b #s(literal 1/2 binary64)))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a #s(literal -1/2 binary64))) (.f64 b #s(literal 1 binary64)))) (neg.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (/.f64 b #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/2 binary64))) (.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 b #s(literal 1/2 binary64)) (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1 binary64) a) (.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (/.f64 b #s(literal 1/2 binary64)) a)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) a)) (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a #s(literal -1/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 b #s(literal -1/2 binary64)) (.f64 a #s(literal 1/2 binary64))))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 b #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 #s(literal 1/4 binary64) (.f64 b b))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 b b)) (/.f64 #s(literal 1/4 binary64) (.f64 a a)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 b #s(literal -1/2 binary64)) (.f64 a #s(literal 1/2 binary64))) a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 b #s(literal -1/2 binary64)) (.f64 a #s(literal 1/2 binary64))) b)) (-.f64 #s(literal 0 binary64) a))
(pow.f64 (/.f64 (.f64 a b) (+.f64 (.f64 b #s(literal -1/2 binary64)) (*.f64 a #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 b #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 #s(literal 1/4 binary64) (.f64 b b)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 b #s(literal -1/2 binary64)) (.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a b)))
(.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 b #s(literal 1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (PI.f64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) b) (/.f64 #s(literal 1 binary64) b))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b)))
(/.f64 (PI.f64) b)
(/.f64 #s(literal 1 binary64) (/.f64 b (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) b))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 a b)
(*.f64 b a)

simplify283.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2232×	`-lowering-.f32`
2232×	`-lowering-.f64`
1924×	`fnmadd-define`
1770×	`distribute-lft-in`
1610×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	3659
1	850	3404
2	3763	2984
0	12007	2984

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* 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) 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 b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(* -1 (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(* -1 (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(- (/ (PI) a) (/ (PI) b))
(* -1 (/ (PI) b))
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (- (/ (* b (PI)) a) (PI)) b)
(/ (PI) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(/ (PI) a)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(/ (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 (/ (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) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (pow a 2) b))
(/ (PI) (* (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))))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (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 (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)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) (pow a 2)))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* -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)))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) 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)
(* a b)

Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) a)
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (.f64 (/.f64 (PI.f64) (.f64 b (.f64 b b))) a)) (/.f64 (PI.f64) (*.f64 b b)))) 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)
(/.f64 (+.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 b (.f64 b b))))) (.f64 a (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))))) 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)
(/.f64 (+.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 b (.f64 b b))))) (.f64 (.f64 a #s(literal -1/2 binary64)) (-.f64 (/.f64 (.f64 a (+.f64 (/.f64 (PI.f64) (.f64 b (.f64 b b))) #s(literal 0 binary64))) (.f64 b b)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 a a))
(/ (+ (* -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))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) b)) (.f64 a a))) (*.f64 a a))
(/ (+ (* -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))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) b)) (.f64 a a)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (+.f64 (PI.f64) #s(literal 0 binary64)) b) b)) (.f64 a (.f64 a a))))) (.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 a a))
(/ (+ (* -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))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (+.f64 #s(literal 0 binary64) (/.f64 (.f64 b (-.f64 #s(literal 0 binary64) (PI.f64))) a)))) a)) (.f64 a a))
(/ (+ (* -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))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b (-.f64 #s(literal 0 binary64) (PI.f64))))) a) (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) b))) a)) a)) (.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (.f64 a a)) (neg.f64 (/.f64 (.f64 (PI.f64) b) (.f64 a (*.f64 a a)))))) 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)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) (.f64 b (+.f64 (.f64 b (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) (+.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (*.f64 a a))) #s(literal 0 binary64))))) 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)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) (.f64 b (+.f64 (+.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (.f64 a a))) #s(literal 0 binary64)) (.f64 (.f64 b #s(literal -1/2 binary64)) (-.f64 (.f64 b (-.f64 (/.f64 (/.f64 (PI.f64) (.f64 a (.f64 a a))) (*.f64 a a)) #s(literal 0 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) a)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 b b))
(/ (+ (* -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))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) a))) (.f64 b b))) (*.f64 b b))
(/ (+ (* -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))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) a)) (.f64 b b)) (/.f64 (.f64 (.f64 a a) (+.f64 (PI.f64) #s(literal 0 binary64))) (.f64 b (.f64 b b)))))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) a)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 b b))
(/ (+ (* -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))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 (/.f64 (.f64 (PI.f64) a) b) #s(literal 0 binary64)))) b)) (.f64 b b))
(/ (+ (* -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))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) a)))) b) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) a)))) b)) b)) (.f64 b b))
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
(* 1/2 (/ (PI) (* a b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
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(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 2 (/ (* (pow a 2) b) (PI)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b (*.f64 a a))) (PI.f64))
(* 1/2 (/ (PI) (pow a 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a)
(* 1/2 (/ (PI) (pow a 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a)
(* 1/2 (/ (PI) (pow a 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a)
(* 1/2 (/ (PI) (pow a 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a)
(* 1/2 (/ (PI) (pow a 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a)
(* 1/2 (/ (PI) (pow a 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a)
(* 1/2 (/ (PI) (pow a 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a)
(* 1/2 (/ (PI) (pow a 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a)
(* 1/2 (/ (PI) (pow a 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a)
(* 1/2 (/ (PI) (pow a 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a)
(* 1/2 (/ (PI) (pow a 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a)
(* 1/2 (/ (PI) (pow a 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a)
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* -1/2 (/ (PI) (pow a 3)))
(/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (*.f64 a a)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/.f64 (+.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) a)) b)) (.f64 a (*.f64 a a)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/.f64 (+.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) a)) b)) (.f64 a (*.f64 a a)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/.f64 (+.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) a)) b)) (.f64 a (*.f64 a a)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) (/.f64 (.f64 b (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) (/.f64 (.f64 b (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) a) (/.f64 (.f64 b (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a))) b)
(* -1/2 (/ (PI) (pow a 3)))
(/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (*.f64 a a)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a)) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (*.f64 a a))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a)) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (*.f64 a a))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a)) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (*.f64 a a))))
(* -1/2 (/ (PI) (pow a 3)))
(/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (*.f64 a a)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a)) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (*.f64 a a))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a)) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (*.f64 a a))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a)) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (*.f64 a a))))
(* -1/2 (/ (PI) a))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/.f64 (+.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)) b)) a)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/.f64 (+.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)) b)) a)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/.f64 (+.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) a)) b)) a)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/.f64 (+.f64 (.f64 b (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/.f64 (+.f64 (.f64 b (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/.f64 (+.f64 (.f64 b (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)
(* -1/2 (/ (PI) a))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))
(* -1/2 (/ (PI) a))
(*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal -1/2 binary64) a))
(/ (- (* 1/2 (/ a b)) 1/2) a)
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal -1/2 binary64) a))
(/ (- (* 1/2 (/ a b)) 1/2) a)
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal -1/2 binary64) a))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) b)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)

eval261.0ms (2.3%)

Compiler: Compiled 31417 to 4178 computations (86.7% saved)

prune235.0ms (2.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1652	10	1662
Fresh	12	3	15
Picked	3	2	5
Done	0	0	0
Total	1667	15	1682

Accuracy

100.0%

Counts

1682 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.0%	(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) a)
	99.6%	(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
✓	99.7%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (+.f64 a b))
▶	60.6%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
▶	99.7%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) (+.f64 a b))
	60.5%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b)) a)
	60.0%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b)
	60.5%	(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) b)) a)
▶	62.0%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 a b)))
	62.0%	(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 b (/.f64 (PI.f64) a))))
✓	61.9%	(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)) #s(literal 1/2 binary64))
▶	54.3%	(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a) (/.f64 (PI.f64) a))
	70.0%	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	61.9%	(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
▶	60.3%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (/.f64 (PI.f64) a))

Compiler

Compiled 366 to 258 computations (29.5% saved)

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
✓	cost-diff	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
✓	cost-diff	(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a) (/.f64 (PI.f64) a))
✓	cost-diff	(/.f64 (PI.f64) b)
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))
✓	cost-diff	(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b)
✓	cost-diff	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
✓	cost-diff	(.f64 a (.f64 a b))
✓	cost-diff	(PI.f64)
✓	cost-diff	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 a b)))
✓	cost-diff	(/.f64 (PI.f64) a)
✓	cost-diff	(*.f64 b b)
✓	cost-diff	(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
✓	cost-diff	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (/.f64 (PI.f64) a))
✓	cost-diff	(/.f64 (PI.f64) a)
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
✓	cost-diff	(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
✓	cost-diff	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) (+.f64 a b))

Rules

308×	`-lowering-.f32`
308×	`-lowering-.f64`
242×	`/-lowering-/.f32`
242×	`/-lowering-/.f64`
164×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	152
1	62	152
2	154	152
3	256	152
4	348	152
5	417	152
6	445	152
7	473	152
8	480	152
0	480	152

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (/ (* 1/2 (/ (PI) a)) b) (+ a b))
(/ (* 1/2 (/ (PI) a)) b)
(* 1/2 (/ (PI) a))
1/2
(/ (PI) a)
(PI)
a
b
(+ a b)
(* (/ 1/2 (* b b)) (/ (PI) a))
(/ 1/2 (* b b))
1/2
(* b b)
b
(/ (PI) a)
(PI)
a
(/ (* (PI) 1/2) (* a (* a b)))
(* (PI) 1/2)
(PI)
1/2
(* a (* a b))
a
(* a b)
b
(/ (/ (* 1/2 (/ (PI) b)) b) a)
(/ (* 1/2 (/ (PI) b)) b)
(* 1/2 (/ (PI) b))
1/2
(/ (PI) b)
(PI)
b
a
(* (/ (+ (/ -1/2 a) (/ 1/2 b)) a) (/ (PI) a))
(/ (+ (/ -1/2 a) (/ 1/2 b)) a)
(+ (/ -1/2 a) (/ 1/2 b))
(/ -1/2 a)
-1/2
a
(/ 1/2 b)
1/2
b
(/ (PI) a)
(PI)

Outputs
(/ (/ (* 1/2 (/ (PI) a)) b) (+ a b))
(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 a b))) b))
(/ (* 1/2 (/ (PI) a)) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
1/2
#s(literal 1/2 binary64)
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
b
(+ a b)
(+.f64 a b)
(* (/ 1/2 (* b b)) (/ (PI) a))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (.f64 b b))
(/ 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) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)
a
(/ (* (PI) 1/2) (* a (* a b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) a)
(* (PI) 1/2)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* a (* a b))
(.f64 a (.f64 a b))
a
(* a b)
(*.f64 a b)
b
(/ (/ (* 1/2 (/ (PI) b)) b) a)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (.f64 b b))
(/ (* 1/2 (/ (PI) b)) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
1/2
#s(literal 1/2 binary64)
(/ (PI) b)
(/.f64 (PI.f64) b)
(PI)
(PI.f64)
b
a
(* (/ (+ (/ -1/2 a) (/ 1/2 b)) a) (/ (PI) a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) a)
(/ (+ (/ -1/2 a) (/ 1/2 b)) a)
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(+ (/ -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
(/ (PI) a)
(/.f64 (PI.f64) a)
(PI)
(PI.f64)

localize129.0ms (1.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
✓	accuracy	99.8%	(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a) (/.f64 (PI.f64) a))
✓	accuracy	99.7%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b)
✓	accuracy	99.5%	(/.f64 (PI.f64) b)
✓	accuracy	89.3%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(.f64 a (.f64 a b))
✓	accuracy	99.3%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 a b)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	98.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
✓	accuracy	89.2%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (/.f64 (PI.f64) a))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) (+.f64 a b))
✓	accuracy	99.7%	(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b)
✓	accuracy	99.6%	(/.f64 (PI.f64) a)

Results

87.0ms

256×

valid

Compiler

Compiled 155 to 27 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 17.0ms (46.9% of total)

ival-mult: 15.0ms (41.4% of total)

ival-add: 2.0ms (5.5% of total)

ival-pi: 1.0ms (2.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts

20 → 336

Calls

Call 1

Inputs
#<alt (/ (/ (* 1/2 (/ (PI) a)) b) (+ a b))>
#<alt (/ (* 1/2 (/ (PI) a)) b)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (PI) a)>
#<alt (* (/ 1/2 (* b b)) (/ (PI) a))>
#<alt (/ 1/2 (* b b))>
#<alt (* b b)>
#<alt (/ (* (PI) 1/2) (* a (* a b)))>
#<alt (* (PI) 1/2)>
#<alt (PI)>
#<alt (* a (* a b))>
#<alt (/ (/ (* 1/2 (/ (PI) b)) b) a)>
#<alt (/ (* 1/2 (/ (PI) b)) b)>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ (PI) b)>
#<alt (* (/ (+ (/ -1/2 a) (/ 1/2 b)) a) (/ (PI) a))>
#<alt (/ (+ (/ -1/2 a) (/ 1/2 b)) a)>
#<alt (+ (/ -1/2 a) (/ 1/2 b))>
#<alt (/ -1/2 a)>
#<alt (* a b)>

Outputs
#<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) 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 b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (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 (/ (PI) 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 (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 (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (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 (* (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 (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (* 1/2 (/ (PI) (pow b 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 (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) b)>
#<alt (/ (PI) 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 (/ (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 (pow a 2))>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) (pow a 2))>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) (pow a 2))>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) (pow a 2))>
#<alt (/ 1/2 (* a b))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)>
#<alt (/ 1/2 (* a b))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) a))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) a))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) a))>
#<alt (/ 1/2 (* a b))>
#<alt (/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) b)>
#<alt (/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) b)>
#<alt (/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) b)>
#<alt (/ -1/2 (pow a 2))>
#<alt (- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))>
#<alt (- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))>
#<alt (- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))>
#<alt (/ -1/2 (pow a 2))>
#<alt (- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))>
#<alt (- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))>
#<alt (- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))>
#<alt (/ -1/2 a)>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) a)>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) a)>
#<alt (/ (- (* 1/2 (/ a b)) 1/2) a)>
#<alt (/ 1/2 b)>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (/ 1/2 b)>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) b)>
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) b)>
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) b)>
#<alt (/ -1/2 a)>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (/ -1/2 a)>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))>
#<alt (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 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 a)>
#<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)>

Calls

84 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(/ (PI) b)
0.0ms	a	@	-inf	(/ (+ (/ -1/2 a) (/ 1/2 b)) a)
0.0ms	a	@	0	(/ (* 1/2 (/ (PI) a)) b)
0.0ms	b	@	0	(/ (* 1/2 (/ (PI) a)) b)
0.0ms	b	@	inf	(/ (* 1/2 (/ (PI) a)) b)

rewrite376.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5162×	`/-lowering-/.f32`
5162×	`/-lowering-/.f64`
4488×	`-lowering-.f32`
4488×	`-lowering-.f64`
1966×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	120
1	177	120
2	1641	120
0	8616	120

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 879

Calls

Call 1

Inputs
(/ (/ (* 1/2 (/ (PI) a)) b) (+ a b))
(/ (* 1/2 (/ (PI) a)) b)
(* 1/2 (/ (PI) a))
(/ (PI) a)
(* (/ 1/2 (* b b)) (/ (PI) a))
(/ 1/2 (* b b))
(* b b)
(/ (* (PI) 1/2) (* a (* a b)))
(* (PI) 1/2)
(PI)
(* a (* a b))
(/ (/ (* 1/2 (/ (PI) b)) b) a)
(/ (* 1/2 (/ (PI) b)) b)
(* 1/2 (/ (PI) b))
(/ (PI) b)
(* (/ (+ (/ -1/2 a) (/ 1/2 b)) a) (/ (PI) a))
(/ (+ (/ -1/2 a) (/ 1/2 b)) a)
(+ (/ -1/2 a) (/ 1/2 b))
(/ -1/2 a)
(* a b)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) (+.f64 a b)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (*.f64 b (+.f64 a b)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b) (+.f64 a b))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 (*.f64 b (+.f64 a b)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b)))))
(/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) (neg.f64 (.f64 b (+.f64 a b))))
(/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) (.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) (-.f64 #s(literal 0 binary64) (+.f64 a b)))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)))))
(/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (.f64 (*.f64 b (+.f64 a b)) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 b (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))) (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b)) #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) #s(literal 1 binary64)) (.f64 b (+.f64 a b)))
(/.f64 (.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 a b)))
(/.f64 (neg.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (neg.f64 (neg.f64 (.f64 b (+.f64 a b)))))
(/.f64 (neg.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (neg.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b) #s(literal 1 binary64)) (+.f64 a b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 a b))) b)
(/.f64 (.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (+.f64 a b)) b)
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) #s(literal 1 binary64))) (neg.f64 (.f64 b (+.f64 a b))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b))) (neg.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (+.f64 a b))) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))) (+.f64 a b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (.f64 b (+.f64 a b))))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (.f64 a b)) (+.f64 a b)))
(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 a b))))
(.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 b (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (.f64 b (+.f64 a b))))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b))
(.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
(.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
(.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 a b))
(*.f64 (pow.f64 (/.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(.f64 (pow.f64 (/.f64 (+.f64 a b) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b)
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) a)
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))))))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (-.f64 #s(literal 0 binary64) b))
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (-.f64 #s(literal 0 binary64) a))
(/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (.f64 a b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 a b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) #s(literal 1 binary64)) b)
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64))) (neg.f64 (*.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a (PI.f64)) (/.f64 b #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b))
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(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1/2 binary64))) (.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 b #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 b #s(literal 1/2 binary64)))) (.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 b #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64))) b))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) b))) (.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b)) (.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 b #s(literal 1/2 binary64))) (.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64))) (/.f64 b #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b #s(literal 1/2 binary64)))) (.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64))) (neg.f64 (/.f64 b #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) a))) (.f64 b #s(literal -1/2 binary64))) (*.f64 b (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) (.f64 b #s(literal -1 binary64))) (*.f64 b (neg.f64 (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a)) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) a))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) a))) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a #s(literal -1/2 binary64))) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) a))) (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) a))) (.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 b #s(literal 1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 b #s(literal 1/2 binary64)) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) (.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 b #s(literal 1/2 binary64)) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) a) (.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) a))) (.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/2 binary64))) (.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) (.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) a)) (.f64 (neg.f64 (/.f64 b #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (/.f64 b #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (.f64 (neg.f64 (/.f64 b #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (.f64 (neg.f64 (/.f64 b #s(literal 1/2 binary64))) a))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) a))) (.f64 (neg.f64 (/.f64 b #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (/.f64 b #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 a #s(literal -1/2 binary64))) (.f64 (neg.f64 (/.f64 b #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 b #s(literal 1/2 binary64))) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 (/.f64 b #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 b #s(literal 1/2 binary64))) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) (.f64 (neg.f64 (/.f64 b #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 b #s(literal 1/2 binary64))) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal 1/4 binary64) (.f64 b b)))) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 b #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) a)))) (neg.f64 (neg.f64 (*.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 b #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 #s(literal 1/4 binary64) (.f64 b b))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) b)) (.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 b #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 b #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) b)) (.f64 a #s(literal -1/2 binary64)))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b #s(literal 1/2 binary64))) (.f64 a #s(literal 1 binary64)))) (neg.f64 (*.f64 a (/.f64 b #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1 binary64) b) (.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) b)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1/2 binary64))) (.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 b #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a)) (.f64 b #s(literal 1/2 binary64)))) (neg.f64 (*.f64 b (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a #s(literal -1/2 binary64))) (.f64 b #s(literal 1 binary64)))) (neg.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) a)) (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) a)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a #s(literal -1/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (/.f64 b #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1 binary64) a) (.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (/.f64 b #s(literal 1/2 binary64)) a)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/2 binary64))) (.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 b #s(literal 1/2 binary64)) (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 b b)) (/.f64 #s(literal 1/4 binary64) (.f64 a a)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 b #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) a)) a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 b #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) a)) b)) (-.f64 #s(literal 0 binary64) a))
(pow.f64 (/.f64 (.f64 a b) (+.f64 (.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 b #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 #s(literal 1/4 binary64) (.f64 b b)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 b #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (.f64 a b)))
(.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 b #s(literal 1/2 binary64))))))
(.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))))
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 #s(literal -1/2 binary64) a)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64))
(*.f64 a b)
(*.f64 b a)

simplify372.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

4944×	`-lowering-.f32`
4944×	`-lowering-.f64`
1822×	`/-lowering-/.f32`
1822×	`/-lowering-/.f64`
1742×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	2603
1	495	2596
2	1388	2561
3	3604	2485
4	7945	2485
0	8479	2485

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow 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) 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 b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) 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 (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))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(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)))
(* (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))))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 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))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) 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 (pow a 2))
(/ (- (* 1/2 (/ a b)) 1/2) (pow a 2))
(/ (- (* 1/2 (/ a b)) 1/2) (pow a 2))
(/ (- (* 1/2 (/ a b)) 1/2) (pow a 2))
(/ 1/2 (* a b))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)
(/ 1/2 (* a b))
(* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) a))
(/ 1/2 (* a b))
(/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) b)
(/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) b)
(/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) b)
(/ -1/2 (pow a 2))
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(/ -1/2 (pow a 2))
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(/ -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 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)
(* 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)

Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 #s(literal -1/2 binary64) b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (.f64 a a))) (pow.f64 b #s(literal 4 binary64))) (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 #s(literal -1/2 binary64) 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 (+.f64 (.f64 (.f64 (PI.f64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))))) (.f64 a a)) (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 #s(literal -1/2 binary64) b))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (.f64 (PI.f64) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (.f64 b (/.f64 #s(literal 1/2 binary64) (.f64 a 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 (+.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 b (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -1/2 binary64)) a))))) (.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (.f64 (PI.f64) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (.f64 b (/.f64 #s(literal 1/2 binary64) (.f64 a 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 (+.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (.f64 b (.f64 (PI.f64) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -1/2 binary64)) a)))) (.f64 a a))) (.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (.f64 b b))) (pow.f64 a #s(literal 4 binary64))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -1/2 binary64)) 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 (+.f64 (.f64 (.f64 b b) (.f64 (PI.f64) (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64)))))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (.f64 (PI.f64) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) b))) 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 (+.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 a (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 #s(literal -1/2 binary64) b)))))) (.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) b) a)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b))
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(/.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)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(/ (PI) b)
(/.f64 (PI.f64) b)
(* -1/2 (/ (PI) (pow a 3)))
(/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) (.f64 a a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/.f64 (.f64 (PI.f64) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) b))) (.f64 a (.f64 a a)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/.f64 (.f64 (PI.f64) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) b))) (.f64 a (.f64 a a)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/.f64 (.f64 (PI.f64) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) b))) (.f64 a (.f64 a a)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (.f64 a a)) b))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))) b)
(* -1/2 (/ (PI) (pow a 3)))
(/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) (.f64 a a))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(* -1/2 (/ (PI) (pow a 3)))
(/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) (.f64 a a))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a))
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ (- (* 1/2 (/ a b)) 1/2) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(/ (- (* 1/2 (/ a b)) 1/2) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(/ (- (* 1/2 (/ a b)) 1/2) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) a))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) a))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) a))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) b)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -1/2 binary64)) a))) b)
(/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) b)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -1/2 binary64)) a))) b)
(/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) b)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -1/2 binary64)) a))) b)
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ (- (* 1/2 (/ a b)) 1/2) a)
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ (- (* 1/2 (/ a b)) 1/2) a)
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) b)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)

eval196.0ms (1.7%)

Compiler: Compiled 20662 to 2844 computations (86.2% saved)

prune176.0ms (1.6%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1446	7	1453
Fresh	6	2	8
Picked	2	3	5
Done	1	1	2
Total	1455	13	1468

Accuracy

100.0%

Counts

1468 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.0%	(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) a)
	99.7%	(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b) (+.f64 a b))
✓	60.6%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
	61.9%	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) a)
✓	62.0%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 a b)))
	62.0%	(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 b (/.f64 (PI.f64) a))))
✓	61.9%	(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)) #s(literal 1/2 binary64))
	61.9%	(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a))
	66.7%	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
	66.7%	(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
✓	60.3%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (/.f64 (PI.f64) a))
	62.0%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a b))) (PI.f64))
	66.7%	(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))

Compiler

Compiled 790 to 273 computations (65.4% saved)

regimes60.0ms (0.5%)

Counts

50 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a b))) (PI.f64))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (/.f64 (PI.f64) a))
(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a))
(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 b (/.f64 (PI.f64) a))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (.f64 b b))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a)))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 b b))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) a)
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) a)
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) b)) a)
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b)) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) a)
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a)))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) (+.f64 a b))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) (-.f64 b a))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) b) (+.f64 a b))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a) (/.f64 (PI.f64) 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) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b)
(/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) b) (-.f64 (.f64 b b) (*.f64 a a)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (*.f64 b b))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64))) (+.f64 a b))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (+.f64 a b))) (-.f64 b a))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 #s(literal 2 binary64) (PI.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)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 b (PI.f64))) (.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64))) (*.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64)))) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) b) (.f64 b a)) (.f64 (.f64 b a) (.f64 (PI.f64) a))) (.f64 b (.f64 b (.f64 a a)))) #s(literal 2 binary64)) (-.f64 (.f64 b b) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))

Outputs
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) (+.f64 a b))

Calls

3 calls:

28.0ms	b
15.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
13.0ms	a

Results

Accuracy	Segments	Branch
99.7%	1	`a`
99.7%	1	`b`
99.7%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes33.0ms (0.3%)

Counts

26 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a b))) (PI.f64))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (/.f64 (PI.f64) a))
(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a))
(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 b (/.f64 (PI.f64) a))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (.f64 b b))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a)))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 b b))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) a)
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) a)
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) b)) a)
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b)) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) a)
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a)))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a))

Outputs
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a))
(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))

Calls

2 calls:

24.0ms	b
7.0ms	a

Results

Accuracy	Segments	Branch
96.2%	2	`a`
94.3%	2	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

25 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a b))) (PI.f64))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (/.f64 (PI.f64) a))
(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a))
(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 b (/.f64 (PI.f64) a))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (.f64 b b))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a)))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 b b))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) a)
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) a)
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) b)) a)
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b)) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) a)
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a)))

Outputs
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) a)
(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
94.8%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

22 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a b))) (PI.f64))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (/.f64 (PI.f64) a))
(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a))
(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 b (/.f64 (PI.f64) a))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (.f64 b b))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 a b)))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a)))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 b b))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) a)
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b b))) a)
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) b)) a)
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b)) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) (PI.f64))) b)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a) b)

Outputs
(.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)) #s(literal 1/2 binary64))
(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
94.7%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

7 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a b))) (PI.f64))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (/.f64 (PI.f64) a))
(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a))

Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a))
(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
94.7%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a b))) (PI.f64))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (/.f64 (PI.f64) a))
(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) b))

Outputs
(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
94.7%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a b))) (PI.f64))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (/.f64 (PI.f64) a))
(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))

Outputs
(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
94.7%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs

(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)))

(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a b))) (PI.f64))

(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) a))

Outputs
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a b))) (PI.f64))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
94.5%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))

Outputs
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))

Calls

2 calls:

1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
66.7%	1	`b`
66.7%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch51.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	-2.506389699381548e-25	-3.294031622865921e-28

Results

45.0ms

128×

valid

Compiler

Compiled 236 to 171 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 36.0ms (87.9% of total)

ival-mult: 3.0ms (7.3% of total)

ival-pi: 1.0ms (2.4% of total)

ival-sub: 1.0ms (2.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-2.506389699381548e-25	-3.294031622865921e-28

Results

13.0ms

128×

valid

Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (45.5% of total)

ival-mult: 3.0ms (34.1% of total)

ival-pi: 1.0ms (11.4% of total)

ival-sub: 1.0ms (11.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-2.506389699381548e-25	-3.294031622865921e-28

Results

38.0ms

128×

valid

Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 29.0ms (83.7% of total)

ival-div: 3.0ms (8.7% of total)

ival-pi: 1.0ms (2.9% of total)

ival-sub: 1.0ms (2.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-2.506389699381548e-25	-3.294031622865921e-28

Results

12.0ms

128×

valid

Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (34.6% of total)

ival-mult: 3.0ms (34.6% of total)

ival-pi: 1.0ms (11.5% of total)

ival-sub: 1.0ms (11.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-2.506389699381548e-25	-3.294031622865921e-28

Results

14.0ms

128×

valid

Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (45.9% of total)

ival-mult: 3.0ms (34.4% of total)

ival-pi: 1.0ms (11.5% of total)

ival-sub: 1.0ms (11.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-2.506389699381548e-25	-3.294031622865921e-28

Results

18.0ms

128×

valid

Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-pi: 6.0ms (41.9% of total)

ival-div: 3.0ms (20.9% of total)

ival-mult: 3.0ms (20.9% of total)

ival-sub: 1.0ms (7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-2.506389699381548e-25	-3.294031622865921e-28

Results

13.0ms

128×

valid

Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (34.3% of total)

ival-mult: 3.0ms (34.3% of total)

ival-pi: 1.0ms (11.4% of total)

ival-sub: 1.0ms (11.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	176
1	65	176
2	70	176
3	72	176
4	73	176

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) (+.f64 a b))
(if (<=.f64 a #s(literal -4529838868451533/696898287454081973172991196020261297061888 binary64)) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a)) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(if (<=.f64 a #s(literal -8014330305721943/174224571863520493293247799005065324265472 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) a) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
(if (<=.f64 a #s(literal -5444517870735015/21778071482940061661655974875633165533184 binary64)) (.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)) #s(literal 1/2 binary64)) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
(if (<=.f64 a #s(literal -8014330305721943/174224571863520493293247799005065324265472 binary64)) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a)) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(if (<=.f64 a #s(literal -3136042293543369/43556142965880123323311949751266331066368 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
(if (<=.f64 a #s(literal -1742245718635205/10889035741470030830827987437816582766592 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b))))
(if (<=.f64 a #s(literal -2504478220538107/10889035741470030830827987437816582766592 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a b))) (PI.f64)) (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (*.f64 a b))))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))

Outputs
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) b) (+.f64 a b))
(if (<=.f64 a #s(literal -4529838868451533/696898287454081973172991196020261297061888 binary64)) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a)) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(if (<=.f64 a #s(literal -8014330305721943/174224571863520493293247799005065324265472 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) b) a) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
(if (<=.f64 a #s(literal -5444517870735015/21778071482940061661655974875633165533184 binary64)) (.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 a b)) #s(literal 1/2 binary64)) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
(if (<=.f64 a #s(literal -5444517870735015/21778071482940061661655974875633165533184 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) (.f64 a b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
(if (<=.f64 a #s(literal -8014330305721943/174224571863520493293247799005065324265472 binary64)) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) (/.f64 (PI.f64) a)) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(if (<=.f64 a #s(literal -8014330305721943/174224571863520493293247799005065324265472 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
(if (<=.f64 a #s(literal -3136042293543369/43556142965880123323311949751266331066368 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
(if (<=.f64 a #s(literal -1742245718635205/10889035741470030830827987437816582766592 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b))))
(if (<=.f64 a #s(literal -2504478220538107/10889035741470030830827987437816582766592 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a b))) (PI.f64)) (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (*.f64 a b))))
(if (<=.f64 a #s(literal -2504478220538107/10889035741470030830827987437816582766592 binary64)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a b)))) (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (*.f64 a b))))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (.f64 a b)))

soundness3.3s (29%)

Rules

5162×	`/-lowering-/.f32`
5162×	`/-lowering-/.f64`
5070×	`-lowering-.f32`
5070×	`-lowering-.f64`
4996×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	161
1	257	159
2	2866	159
0	8622	159
0	303	2631
1	885	2568
2	2827	2478
3	7434	2474
0	8272	2474
0	32	143
1	246	142
2	2475	142
0	8346	142
0	26	120
1	177	120
2	1641	120
0	8616	120
0	503	5582
1	1689	4863
2	6477	4830
0	8886	4830
0	260	3659
1	850	3404
2	3763	2984
0	12007	2984
0	184	2603
1	495	2596
2	1388	2561
3	3604	2485
4	7945	2485
0	8479	2485
0	20	81
1	171	81
2	1854	81
0	8624	81

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
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 696 to 434 computations (37.6% saved)

preprocess55.0ms (0.5%)

Compiler: Compiled 428 to 152 computations (64.5% saved)

Iter	Nodes	Cost
0	26	152
1	62	152
2	154	152
3	256	152
4	348	152
5	417	152
6	445	152
7	473	152
8	480	152
0	480	152

Iter	Nodes	Cost
0	26	152
1	62	152
2	154	152
3	256	152
4	348	152
5	417	152
6	445	152
7	473	152
8	480	152
0	480	152

analyze121.0ms (1.1%)

sample1.2s (10.4%)

preprocess504.0ms (4.4%)

explain124.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify168.0ms (1.5%)

localize97.0ms (0.9%)

series17.0ms (0.1%)

rewrite341.0ms (3%)

simplify260.0ms (2.3%)

eval148.0ms (1.3%)

prune141.0ms (1.2%)

simplify279.0ms (2.5%)

localize199.0ms (1.7%)

series36.0ms (0.3%)

rewrite346.0ms (3.1%)

simplify363.0ms (3.2%)

eval251.0ms (2.2%)

prune234.0ms (2.1%)

simplify199.0ms (1.8%)

localize131.0ms (1.2%)

series27.0ms (0.2%)

rewrite378.0ms (3.3%)

simplify283.0ms (2.5%)

eval261.0ms (2.3%)

prune235.0ms (2.1%)

simplify54.0ms (0.5%)

localize129.0ms (1.1%)

series13.0ms (0.1%)

rewrite376.0ms (3.3%)

simplify372.0ms (3.3%)

eval196.0ms (1.7%)

prune176.0ms (1.6%)

regimes60.0ms (0.5%)

regimes33.0ms (0.3%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch51.0ms (0.5%)

bsearch20.0ms (0.2%)

bsearch45.0ms (0.4%)

bsearch29.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch25.0ms (0.2%)

bsearch22.0ms (0.2%)

simplify10.0ms (0.1%)

soundness3.3s (29%)

preprocess55.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	152
1	62	152
2	154	152
3	256	152
4	348	152
5	417	152
6	445	152
7	473	152
8	480	152
0	480	152