Metrics for NMSE Section 6.1 mentioned, B

analyze127.0ms (1.2%)

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: 75.0ms

ival-mult: 36.0ms (48.2% of total)

ival-div: 23.0ms (30.8% of total)

ival-sub: 9.0ms (12.1% of total)

ival-pi: 4.0ms (5.4% of total)

const: 2.0ms (2.7% of total)

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

sample1.2s (11%)

Results

921.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 644.0ms

ival-div: 262.0ms (40.7% of total)

ival-mult: 249.0ms (38.7% of total)

ival-sub: 80.0ms (12.4% of total)

ival-pi: 35.0ms (5.4% of total)

const: 15.0ms (2.3% of total)

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

Bogosity

preprocess223.0ms (2%)

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)

explain128.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
44	0	-	2	(-1.3482021791733502e+161 -2.5058982220154216e-23)	`(.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)))`
11	0	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
1	1	(-1.3482021791733502e+161 -2.5058982220154216e-23)	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: 38.0ms

ival-div: 16.0ms (42.1% of total)

ival-mult: 14.0ms (36.8% of total)

ival-sub: 5.0ms (13.1% of total)

ival-pi: 2.0ms (5.3% 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
▶	76.9%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))
▶	76.8%	(.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

▶

76.9%

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

▶

76.8%

(*.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)

simplify178.0ms (1.6%)

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)

localize102.0ms (0.9%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (PI.f64) b)
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	96.3%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	84.0%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 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	96.3%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	84.1%	(.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)))

Results

75.0ms

256×

valid

Compiler

Compiled 136 to 21 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 23.0ms (47.5% of total)

ival-pi: 15.0ms (31% of total)

ival-mult: 7.0ms (14.5% of total)

ival-sub: 4.0ms (8.3% of total)

const: 1.0ms (2.1% of total)

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

series18.0ms (0.2%)

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

rewrite349.0ms (3.2%)

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))

simplify249.0ms (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)

eval167.0ms (1.5%)

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

prune183.0ms (1.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1157	15	1172
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1159	15	1174

Accuracy

100.0%

Counts

1174 → 15

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))
	70.6%	(/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 b a) #s(literal -1 binary64))) b) #s(literal 2 binary64)) (-.f64 (.f64 b b) (*.f64 a a)))
	84.0%	(/.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))))
	52.7%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
	54.3%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) b) (-.f64 (.f64 b b) (*.f64 a a)))
▶	44.3%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
	48.0%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
	49.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
▶	54.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
	76.6%	(/.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))))
▶	48.1%	(.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)))
▶	99.6%	(*.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)))
	76.8%	(.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
	44.3%	(.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 522 to 356 computations (31.8% saved)

simplify216.0ms (2%)

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	(*.f64 (PI.f64) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)
✓	cost-diff	0	(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
✓	cost-diff	128	(.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)))
✓	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

2934×	`-lowering-.f32`
2934×	`-lowering-.f64`
1936×	`sum3-define`
1820×	`sum5-define`
1288×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	231
1	88	231
2	221	231
3	606	231
4	1716	231
5	5890	231
0	8071	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)
(* (/ (/ (* (PI) -1/2) a) a) (- (/ 1 a) (/ 1 b)))
(/ (/ (* (PI) -1/2) a) a)
(/ (* (PI) -1/2) a)
(* (PI) -1/2)
(PI)
-1/2
a
(- (/ 1 a) (/ 1 b))
(/ 1 a)
1
(/ 1 b)
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 (+.f64 a b) (.f64 #s(literal 2 binary64) (-.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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a a))) b)
(* 1/2 (/ (PI) (* a a)))
(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a a)))
1/2
#s(literal 1/2 binary64)
(/ (PI) (* a a))
(/.f64 (PI.f64) (*.f64 a a))
(PI)
(PI.f64)
(* a a)
(*.f64 a a)
a
b
(/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b))
(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) 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)
(* (/ (/ (* (PI) -1/2) 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 a a))
(/ (/ (* (PI) -1/2) a) a)
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) a) a)
(/ (* (PI) -1/2) a)
(/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) a)
(* (PI) -1/2)
(/.f64 (PI.f64) #s(literal -2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
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
#s(literal 1 binary64)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
b
(* (/ (- (/ (PI) a) (/ (PI) b)) (+ b a)) (/ 1/2 (- b a)))
(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 b a)) (+.f64 a b))
(/ (- (/ (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)

localize161.0ms (1.5%)

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) b)
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓	accuracy	99.8%	(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) a)
✓	accuracy	99.6%	(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)
✓	accuracy	92.2%	(.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)))
✓	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	91.6%	(/.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	99.7%	(/.f64 (PI.f64) (*.f64 a a))
✓	accuracy	84.6%	(/.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) b)
✓	accuracy	99.6%	(/.f64 (PI.f64) a)

Results

112.0ms

256×

valid

Compiler

Compiled 240 to 36 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 32.0ms (60.4% of total)

ival-mult: 12.0ms (22.6% of total)

ival-sub: 5.0ms (9.4% of total)

ival-add: 3.0ms (5.7% of total)

ival-pi: 1.0ms (1.9% of total)

const: 1.0ms (1.9% of total)

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

series74.0ms (0.7%)

Counts

20 → 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 (* (/ (/ (* (PI) -1/2) a) a) (- (/ 1 a) (/ 1 b)))>
#<alt (/ (/ (* (PI) -1/2) a) a)>
#<alt (/ (* (PI) -1/2) a)>
#<alt (* (PI) -1/2)>
#<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)>
#<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 (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))) (* 1/2 (/ (PI) b))) a)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (- (PI) (* -1 (PI))) a))) a)>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (* 1/2 (/ (- (PI) (* -1 (PI))) a)))) a)>
#<alt (/ (+ (* -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)>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (* -1 (/ (+ (* -1/2 (/ (- (PI) (* -1 (PI))) a)) (* 1/2 (/ (PI) b))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) a)) (* 1/2 (- (PI) (* -1 (PI))))) a)) (* 1/2 (/ (PI) b))) a))>
#<alt (* -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))>
#<alt (* -1/2 (/ (PI) (* a b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))))) b)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))) b)>
#<alt (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b)))) b)>
#<alt (/ (+ (* -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)>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* -1 (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (- (* -1 (PI)) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))>
#<alt (* -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))>
#<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 (* 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 (* 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 (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow b 3)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))>
#<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))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<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) 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 (* 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 b)>
#<alt (/ (- (* 1/2 (/ b a)) 1/2) b)>
#<alt (/ (- (* 1/2 (/ b a)) 1/2) b)>
#<alt (/ (- (* 1/2 (/ b a)) 1/2) b)>
#<alt (/ 1/2 a)>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (/ 1/2 a)>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (/ 1/2 a)>
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) a)>
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) a)>
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) a)>
#<alt (/ -1/2 b)>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (/ -1/2 b)>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))>
#<alt (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 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 (/ (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) (* 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
43.0ms	b	@	inf	(/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b 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	b	@	0	(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))
1.0ms	a	@	0	(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))

rewrite411.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3932×	`/-lowering-/.f32`
3932×	`/-lowering-/.f64`
3038×	`-lowering-.f32`
3038×	`-lowering-.f64`
1990×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	164
1	265	162
2	2988	162
0	8945	162

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1136

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

simplify314.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3660×	`-lowering-.f32`
3660×	`-lowering-.f64`
2168×	`+-lowering-+.f64`
2168×	`+-lowering-+.f32`
1886×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	515	5582
1	1719	4863
2	6564	4830
0	8049	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 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) (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) (* 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 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.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) (.f64 b 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 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 b 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 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 b b))) b) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #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 (.f64 #s(literal 2 binary64) (PI.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 (.f64 a (.f64 #s(literal 2 binary64) (PI.f64))) b) (*.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 #s(literal 2 binary64) (PI.f64))) (*.f64 b 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 #s(literal 2 binary64) (PI.f64)) b) (/.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 (.f64 a (.f64 #s(literal 2 binary64) (PI.f64))) b) (.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 a (.f64 (PI.f64) #s(literal -2 binary64))) (.f64 (.f64 a a) (/.f64 (.f64 #s(literal 2 binary64) (PI.f64)) b))) (-.f64 #s(literal 0 binary64) 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))

eval275.0ms (2.5%)

Compiler: Compiled 45189 to 5135 computations (88.6% saved)

prune660.0ms (6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1941	19	1960
Fresh	8	2	10
Picked	4	1	5
Done	0	0	0
Total	1953	22	1975

Accuracy

100.0%

Counts

1975 → 22

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))
	54.5%	(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) a) b)
▶	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))
▶	50.0%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
	65.9%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a))
▶	66.4%	(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a))
	48.7%	(/.f64 (.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a a)) (-.f64 b a)) (.f64 a b))
	57.5%	(/.f64 (.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) (-.f64 b a)) (.f64 a (.f64 a b)))
	38.0%	(/.f64 (.f64 (PI.f64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) b) a)) b)) (*.f64 b b))
	49.9%	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 b b))
	48.0%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
	54.7%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a)))
	49.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
	54.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) (.f64 a a))
	54.4%	(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (PI.f64) a)))) b)
	54.7%	(/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a)))))
	38.8%	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a))
	52.4%	(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b) (/.f64 (PI.f64) b))
▶	55.7%	(.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))
	65.9%	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
▶	54.4%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
	66.4%	(.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))

Compiler

Compiled 601 to 426 computations (29.1% saved)

simplify235.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

3334×	`-lowering-.f32`
3334×	`-lowering-.f64`
1794×	`sum3-define`
1508×	`/-lowering-/.f32`
1508×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	190
1	79	190
2	205	190
3	529	189
4	1181	189
5	3661	189
0	8473	189

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

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

localize174.0ms (1.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
✓	accuracy	99.8%	(.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))
✓	accuracy	99.7%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)
✓	accuracy	99.6%	(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a))
✓	accuracy	99.7%	(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) a)
✓	accuracy	99.6%	(/.f64 (PI.f64) b)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b)
✓	accuracy	99.6%	(/.f64 (PI.f64) b)
✓	accuracy	86.3%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) b) a)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (PI.f64) (*.f64 a a))
✓	accuracy	84.5%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
✓	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	99.7%	(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(/.f64 (PI.f64) b)
✓	accuracy	99.6%	(/.f64 (PI.f64) a)

Results

97.0ms

256×

valid

Compiler

Compiled 197 to 33 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 27.0ms (48.1% of total)

ival-add: 12.0ms (21.4% of total)

ival-mult: 10.0ms (17.8% of total)

ival-sub: 4.0ms (7.1% of total)

ival-pi: 1.0ms (1.8% of total)

const: 1.0ms (1.8% of total)

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

series28.0ms (0.3%)

Counts

20 → 336

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)) (/ 1/2 b))>
#<alt (/ (PI) (* a a))>
#<alt (PI)>
#<alt (* a a)>
#<alt (/ (/ (* 1/2 (/ (PI) b)) b) a)>
#<alt (/ (* 1/2 (/ (PI) b)) b)>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ (PI) b)>
#<alt (/ (/ (* -1/2 (/ (PI) b)) a) (- b a))>
#<alt (/ (* -1/2 (/ (PI) b)) a)>
#<alt (* -1/2 (/ (PI) b))>
#<alt (* (/ (* (PI) -1/2) a) (/ (+ (/ 1 a) (/ -1 b)) a))>
#<alt (/ (* (PI) -1/2) a)>
#<alt (* (PI) -1/2)>
#<alt (/ (+ (/ 1 a) (/ -1 b)) a)>
#<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)>
#<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))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* 1/2 (/ (PI) (* 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 2) b)))>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))) 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 (/ (PI) (pow a 4))) (* 1/2 (/ (* b (PI)) (pow a 5)))))))) b)>
#<alt (* -1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2))>
#<alt (* -1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* -1/2 (/ (* (pow a 2) (PI)) b))) b)) (* 1/2 (PI))) b)) (* -1/2 (/ (PI) a))) (pow b 2))>
#<alt (* -1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) (pow b 2))) (* -1/2 (/ (* a (PI)) (pow b 3)))) 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 (/ (PI) (pow b 4))) (* -1/2 (/ (* a (PI)) (pow b 5)))))))) 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 (/ (PI) b)) (+ (* 1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (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 (PI)) (* -1/2 (/ (* b (PI)) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 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) 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 (* -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) 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 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ a b))) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ a b))) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ a b))) (pow a 2))>
#<alt (/ -1 (* a b))>
#<alt (/ (- (/ 1 a) (/ 1 b)) a)>
#<alt (/ (- (/ 1 a) (/ 1 b)) a)>
#<alt (/ (- (/ 1 a) (/ 1 b)) a)>
#<alt (/ -1 (* a b))>
#<alt (* -1 (/ (- (/ 1 b) (/ 1 a)) a))>
#<alt (* -1 (/ (- (/ 1 b) (/ 1 a)) a))>
#<alt (* -1 (/ (- (/ 1 b) (/ 1 a)) a))>
#<alt (/ -1 (* a b))>
#<alt (/ (- (/ b (pow a 2)) (/ 1 a)) b)>
#<alt (/ (- (/ b (pow a 2)) (/ 1 a)) b)>
#<alt (/ (- (/ b (pow a 2)) (/ 1 a)) b)>
#<alt (/ 1 (pow a 2))>
#<alt (- (/ 1 (pow a 2)) (/ 1 (* a b)))>
#<alt (- (/ 1 (pow a 2)) (/ 1 (* a b)))>
#<alt (- (/ 1 (pow a 2)) (/ 1 (* a b)))>
#<alt (/ 1 (pow a 2))>
#<alt (- (/ 1 (pow a 2)) (/ 1 (* a b)))>
#<alt (- (/ 1 (pow a 2)) (/ 1 (* a b)))>
#<alt (- (/ 1 (pow a 2)) (/ 1 (* a 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

84 calls:

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

rewrite426.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4684×	`/-lowering-/.f32`
4684×	`/-lowering-/.f64`
3046×	`-lowering-.f32`
3046×	`-lowering-.f64`
1670×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	141
1	238	140
2	2570	137
0	8931	137

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1031

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

simplify344.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3930×	`-lowering-.f32`
3930×	`-lowering-.f64`
1912×	`fnmadd-define`
1850×	`sum3-define`
1530×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	3628
1	1186	3350
2	4996	3306
0	8098	3306

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 (- (* -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))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(/ (PI) (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 1/2 (/ (PI) (* 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 2) b)))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))) 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 (/ (PI) (pow a 4))) (* 1/2 (/ (* b (PI)) (pow a 5)))))))) b)
(* -1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3)))))) (pow b 2))
(* -1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (PI) b))) (pow b 2))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* -1/2 (/ (* (pow a 2) (PI)) b))) b)) (* 1/2 (PI))) b)) (* -1/2 (/ (PI) a))) (pow b 2))
(* -1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) (pow b 2))) (* -1/2 (/ (* a (PI)) (pow b 3)))) 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 (/ (PI) (pow b 4))) (* -1/2 (/ (* a (PI)) (pow b 5)))))))) 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 (/ (PI) b)) (+ (* 1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 3)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 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) 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))
(* -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) 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 (pow a 2))
(/ (+ 1 (* -1 (/ a b))) (pow a 2))
(/ (+ 1 (* -1 (/ a b))) (pow a 2))
(/ (+ 1 (* -1 (/ a b))) (pow a 2))
(/ -1 (* a b))
(/ (- (/ 1 a) (/ 1 b)) a)
(/ (- (/ 1 a) (/ 1 b)) a)
(/ (- (/ 1 a) (/ 1 b)) a)
(/ -1 (* a b))
(* -1 (/ (- (/ 1 b) (/ 1 a)) a))
(* -1 (/ (- (/ 1 b) (/ 1 a)) a))
(* -1 (/ (- (/ 1 b) (/ 1 a)) a))
(/ -1 (* a b))
(/ (- (/ b (pow a 2)) (/ 1 a)) b)
(/ (- (/ b (pow a 2)) (/ 1 a)) b)
(/ (- (/ b (pow a 2)) (/ 1 a)) b)
(/ 1 (pow a 2))
(- (/ 1 (pow a 2)) (/ 1 (* a b)))
(- (/ 1 (pow a 2)) (/ 1 (* a b)))
(- (/ 1 (pow a 2)) (/ 1 (* a b)))
(/ 1 (pow a 2))
(- (/ 1 (pow a 2)) (/ 1 (* a b)))
(- (/ 1 (pow a 2)) (/ 1 (* a b)))
(- (/ 1 (pow a 2)) (/ 1 (* a 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 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.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 #s(literal 0 binary64) (/.f64 (PI.f64) (.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 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (.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 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 b (.f64 b b)))) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #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)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 b (.f64 b b)))) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))))) (.f64 (.f64 a #s(literal -1/2 binary64)) (+.f64 (-.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 b (.f64 b b)))) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (.f64 b b))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (.f64 a (-.f64 (/.f64 (+.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 b (.f64 b b)))) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (.f64 b b))) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 b b)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 b (.f64 b b)))) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 b b))))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (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 (.f64 (PI.f64) #s(literal 0 binary64)) b))) 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 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) b))) a) (/.f64 (+.f64 (.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64)) (.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 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) b))) a)) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64)) (.f64 (PI.f64) b)) (.f64 a a)) (/.f64 (-.f64 (+.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) b)))))) (.f64 a (.f64 a a)))))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/ (+ (* -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 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) b))) 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 (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) b) (/.f64 (-.f64 (.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64)) (.f64 (PI.f64) b)) 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 1/2 binary64) (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) b))) (/.f64 (+.f64 (+.f64 (.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) b))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (.f64 (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) b)) #s(literal 0 binary64))) (.f64 b (.f64 b (+.f64 (PI.f64) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) b)))))) a)) a)) a)) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b)
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 b (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (.f64 a (.f64 a a)))) (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 0 binary64)))) (/.f64 (PI.f64) (.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 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) (.f64 b (+.f64 (.f64 b (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a a))) (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 0 binary64)))) (.f64 a a))))) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (.f64 a (.f64 a a))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #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)
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(+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 a (.f64 a a)))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 a (.f64 a a)))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 a (.f64 a a)))))
(* -1/2 (/ (PI) (pow a 3)))
(.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 a (*.f64 a a))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 a (.f64 a a)))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 a (.f64 a a)))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) a) b) (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 a (.f64 a a)))))
(* -1/2 (/ (PI) a))
(*.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))
(*.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))
(*.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))
(*.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))
(*.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))
(*.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 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ a b))) (pow a 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 a a))
(/ (+ 1 (* -1 (/ a b))) (pow a 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 a a))
(/ (+ 1 (* -1 (/ a b))) (pow a 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 a a))
(/ -1 (* a b))
(/.f64 (/.f64 #s(literal -1 binary64) b) a)
(/ (- (/ 1 a) (/ 1 b)) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)
(/ (- (/ 1 a) (/ 1 b)) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)
(/ (- (/ 1 a) (/ 1 b)) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)
(/ -1 (* a b))
(/.f64 (/.f64 #s(literal -1 binary64) b) a)
(* -1 (/ (- (/ 1 b) (/ 1 a)) a))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (- (/ 1 b) (/ 1 a)) a))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (- (/ 1 b) (/ 1 a)) a))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) a))
(/ -1 (* a b))
(/.f64 (/.f64 #s(literal -1 binary64) b) a)
(/ (- (/ b (pow a 2)) (/ 1 a)) b)
(/.f64 (+.f64 (/.f64 b (*.f64 a a)) (/.f64 #s(literal -1 binary64) a)) b)
(/ (- (/ b (pow a 2)) (/ 1 a)) b)
(/.f64 (+.f64 (/.f64 b (*.f64 a a)) (/.f64 #s(literal -1 binary64) a)) b)
(/ (- (/ b (pow a 2)) (/ 1 a)) b)
(/.f64 (+.f64 (/.f64 b (*.f64 a a)) (/.f64 #s(literal -1 binary64) a)) b)
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(- (/ 1 (pow a 2)) (/ 1 (* a b)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)
(- (/ 1 (pow a 2)) (/ 1 (* a b)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)
(- (/ 1 (pow a 2)) (/ 1 (* a b)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(- (/ 1 (pow a 2)) (/ 1 (* a b)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)
(- (/ 1 (pow a 2)) (/ 1 (* a b)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)
(- (/ 1 (pow a 2)) (/ 1 (* a b)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 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))

eval278.0ms (2.5%)

Compiler: Compiled 32936 to 4320 computations (86.9% saved)

prune253.0ms (2.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1639	10	1649
Fresh	14	2	16
Picked	4	1	5
Done	0	1	1
Total	1657	14	1671

Accuracy

100.0%

Counts

1671 → 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))
▶	99.7%	(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) (+.f64 a b))
	58.1%	(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) a) b)
▶	62.1%	(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) a) a)
	50.0%	(/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) b)) b) a)
	58.1%	(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b))
▶	62.1%	(/.f64 (/.f64 (PI.f64) a) (*.f64 (/.f64 b #s(literal 1/2 binary64)) a))
	49.9%	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 b b))
	48.0%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
▶	57.9%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a b) b))
	62.4%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 a b)))
	62.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	54.4%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
▶	62.0%	(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))

Compiler

Compiled 322 to 232 computations (28% saved)

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

324×	`-lowering-.f32`
324×	`-lowering-.f64`
300×	`/-lowering-/.f32`
300×	`/-lowering-/.f64`
190×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	133
1	59	133
2	128	133
3	259	133
4	368	133
5	417	133
6	458	133
7	482	133
8	491	133
9	493	133
0	493	133

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

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

localize113.0ms (1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) a) a)
✓	accuracy	99.7%	(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) a)
✓	accuracy	99.6%	(/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 (/.f64 b #s(literal 1/2 binary64)) a)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (/.f64 (PI.f64) a) (*.f64 (/.f64 b #s(literal 1/2 binary64)) a))
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(.f64 (.f64 a b) b)
✓	accuracy	99.2%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a b) b))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))
✓	accuracy	99.6%	(/.f64 (/.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 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) (+.f64 a b))
✓	accuracy	99.7%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)
✓	accuracy	99.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)

Results

76.0ms

256×

valid

Compiler

Compiled 136 to 24 computations (82.4% saved)

Precisions

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

ival-div: 25.0ms (64.2% of total)

ival-mult: 11.0ms (28.2% of total)

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

ival-pi: 1.0ms (2.6% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Counts

17 → 300

Calls

Call 1

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

75 calls:

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

rewrite405.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2812×	`-lowering-.f32`
2812×	`-lowering-.f64`
2576×	`/-lowering-/.f32`
2576×	`/-lowering-/.f64`
2470×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	99
1	162	99
2	1290	99
3	5797	99
0	8858	99

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 905

Calls

Call 1

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

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

simplify309.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3978×	`-lowering-.f32`
3978×	`-lowering-.f64`
1804×	`fnmadd-define`
1784×	`fma-lowering-fma.f32`
1784×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	148	2282
1	391	2278
2	1161	2262
3	2894	2238
4	5247	2234
0	8284	2234

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

eval198.0ms (1.8%)

Compiler: Compiled 18647 to 2331 computations (87.5% saved)

prune189.0ms (1.7%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1482	6	1488
Fresh	4	3	7
Picked	0	5	5
Done	1	1	2
Total	1487	15	1502

Accuracy

100.0%

Counts

1502 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))
✓	99.7%	(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) (+.f64 a b))
	58.1%	(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) a) b)
✓	62.1%	(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) a) a)
	58.1%	(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (*.f64 a b))
	50.0%	(/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) b)) b) a)
✓	62.1%	(/.f64 (/.f64 (PI.f64) a) (*.f64 (/.f64 b #s(literal 1/2 binary64)) a))
	62.1%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (PI.f64)) a)
	49.9%	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 b b))
✓	57.9%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a b) b))
	62.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (PI.f64)))
	99.5%	(*.f64 (/.f64 (PI.f64) (/.f64 a (/.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal -1 binary64) (+.f64 a b)))
✓	54.4%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
	54.4%	(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a)))
✓	62.0%	(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))

Compiler

Compiled 841 to 299 computations (64.4% saved)

regimes85.0ms (0.8%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	a
14.0ms	b
12.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

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)

regimes17.0ms (0.2%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
8.0ms	b

Results

Accuracy	Segments	Branch
99.7%	1	`a`
99.7%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts

25 → 2

Calls

Call 1

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

Calls

2 calls:

12.0ms	b
7.0ms	a

Results

Accuracy	Segments	Branch
95.0%	2	`a`
93.1%	2	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

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

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

regimes15.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
94.3%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
83.0%	2	`b`
86.5%	2	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.2%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total -5.0b remaining (-20.5%)

Threshold costs -5b (-20.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
62.0%	1	`b`
62.0%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-1.3060567826742341e-42	-2.3215331278109025e-43

Results

10.0ms

96×

valid

Compiler

Compiled 184 to 133 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (42.8% of total)

ival-mult: 3.0ms (42.8% of total)

ival-sub: 1.0ms (14.3% of total)

ival-pi: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-1.3060567826742341e-42	-2.3215331278109025e-43

Results

10.0ms

96×

valid

Compiler

Compiled 172 to 127 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (43.8% of total)

ival-mult: 3.0ms (43.8% of total)

ival-sub: 1.0ms (14.6% of total)

ival-pi: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-1.3060567826742341e-42	-2.3215331278109025e-43

Results

10.0ms

96×

valid

Compiler

Compiled 172 to 127 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (43.6% of total)

ival-mult: 3.0ms (43.6% of total)

ival-sub: 1.0ms (14.5% of total)

ival-pi: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-1.3060567826742341e-42	-2.3215331278109025e-43

Results

10.0ms

96×

valid

Compiler

Compiled 172 to 127 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (43.6% of total)

ival-mult: 3.0ms (43.6% of total)

ival-sub: 1.0ms (14.5% of total)

ival-pi: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-1.3060567826742341e-42	-2.3215331278109025e-43

Results

10.0ms

96×

valid

Compiler

Compiled 172 to 127 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (43.9% of total)

ival-mult: 3.0ms (43.9% of total)

ival-sub: 1.0ms (14.6% of total)

ival-pi: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-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	143
1	62	143
2	67	143
3	69	143
4	70	143

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) (+.f64 a b))
(if (<=.f64 a #s(literal -3954574093293609/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (.f64 a b)))
(if (<=.f64 a #s(literal -8160232256002685/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 a b))) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (.f64 a b)))
(if (<=.f64 a #s(literal -1318191364431203/3138550867693340381917894711603833208051177722232017256448 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 a b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 a b) b)))
(if (<=.f64 a #s(literal -8285774290710419/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 a b))) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a))
(if (<=.f64 a #s(literal -3326863919754941/3138550867693340381917894711603833208051177722232017256448 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))

Outputs
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 a b))
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a) (+.f64 b a))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b) (+.f64 a b))
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) (+.f64 b a))
(if (<=.f64 a #s(literal -3954574093293609/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (.f64 a b)))
(if (<=.f64 a #s(literal -3954574093293609/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) b)) a) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (.f64 b a)))
(if (<=.f64 a #s(literal -8160232256002685/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 a b))) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (.f64 a b)))
(if (<=.f64 a #s(literal -8160232256002685/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 b a))) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (.f64 b a)))
(if (<=.f64 a #s(literal -1318191364431203/3138550867693340381917894711603833208051177722232017256448 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 a b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 a b) b)))
(if (<=.f64 a #s(literal -1318191364431203/3138550867693340381917894711603833208051177722232017256448 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 b a))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (.f64 b a))))
(if (<=.f64 a #s(literal -8285774290710419/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 a b))) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a))
(if (<=.f64 a #s(literal -8285774290710419/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a))
(if (<=.f64 a #s(literal -3326863919754941/3138550867693340381917894711603833208051177722232017256448 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))

soundness2.6s (23.8%)

Rules

4996×	`-lowering-.f32`
4996×	`-lowering-.f64`
4684×	`/-lowering-/.f32`
4684×	`/-lowering-/.f64`
4378×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	303	2631
1	885	2568
2	2827	2478
3	7434	2474
0	8272	2474
0	515	5582
1	1719	4863
2	6564	4830
0	8049	4830
0	368	3628
1	1186	3350
2	4996	3306
0	8098	3306
0	35	164
1	265	162
2	2988	162
0	8945	162
0	20	81
1	171	81
2	1854	81
0	8624	81
0	32	141
1	238	140
2	2570	137
0	8931	137
0	23	99
1	162	99
2	1290	99
3	5797	99
0	8858	99

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

Compiler

Compiled 466 to 287 computations (38.4% saved)

preprocess55.0ms (0.5%)

Compiler: Compiled 414 to 186 computations (55.1% saved)

Iter	Nodes	Cost
0	23	133
1	59	133
2	128	133
3	259	133
4	368	133
5	417	133
6	458	133
7	482	133
8	491	133
9	493	133
0	493	133

Iter	Nodes	Cost
0	23	133
1	59	133
2	128	133
3	259	133
4	368	133
5	417	133
6	458	133
7	482	133
8	491	133
9	493	133
0	493	133

analyze127.0ms (1.2%)

sample1.2s (11%)

preprocess223.0ms (2%)

explain128.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify178.0ms (1.6%)

localize102.0ms (0.9%)

series18.0ms (0.2%)

rewrite349.0ms (3.2%)

simplify249.0ms (2.3%)

eval167.0ms (1.5%)

prune183.0ms (1.7%)

simplify216.0ms (2%)

localize161.0ms (1.5%)

series74.0ms (0.7%)

rewrite411.0ms (3.7%)

simplify314.0ms (2.9%)

eval275.0ms (2.5%)

prune660.0ms (6%)

simplify235.0ms (2.1%)

localize174.0ms (1.6%)

series28.0ms (0.3%)

rewrite426.0ms (3.9%)

simplify344.0ms (3.1%)

eval278.0ms (2.5%)

prune253.0ms (2.3%)

simplify30.0ms (0.3%)

localize113.0ms (1%)

series11.0ms (0.1%)

rewrite405.0ms (3.7%)

simplify309.0ms (2.8%)

eval198.0ms (1.8%)

prune189.0ms (1.7%)

regimes85.0ms (0.8%)

regimes17.0ms (0.2%)

regimes22.0ms (0.2%)

regimes8.0ms (0.1%)

regimes15.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch16.0ms (0.1%)

bsearch16.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch18.0ms (0.2%)

simplify10.0ms (0.1%)

soundness2.6s (23.8%)

preprocess55.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	133
1	59	133
2	128	133
3	259	133
4	368	133
5	417	133
6	458	133
7	482	133
8	491	133
9	493	133
0	493	133