Metrics for NMSE Section 6.1 mentioned, B

analyze165.0ms (1.5%)

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: 115.0ms

ival-mult: 78.0ms (68% of total)

ival-div: 22.0ms (19.2% of total)

ival-sub: 9.0ms (7.9% of total)

ival-pi: 4.0ms (3.5% of total)

const: 2.0ms (1.7% of total)

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

sample1.3s (11.8%)

Results

987.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 711.0ms

ival-mult: 272.0ms (38.2% of total)

ival-div: 262.0ms (36.8% of total)

ival-sub: 125.0ms (17.6% of total)

ival-pi: 34.0ms (4.8% of total)

const: 15.0ms (2.1% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess241.0ms (2.2%)

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)

explain142.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
35	0	-	5	(-7.028264588742816e-62 1.2150612839320118e+157)	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
13	0	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
7	1	(1.3896011958565459e-298 4.765089096597451e+161)	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

81.0ms

512×

valid

Compiler

Compiled 183 to 47 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 14.0ms (38.1% of total)

ival-mult: 14.0ms (38.1% of total)

ival-sub: 5.0ms (13.6% of total)

ival-pi: 3.0ms (8.2% of total)

const: 1.0ms (2.7% 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
▶	80.3%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))
▶	80.3%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Status

Accuracy

Program

▶

80.3%

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

▶

80.3%

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

simplify173.0ms (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)

localize89.0ms (0.8%)

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	95.3%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	87.4%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))
✓	accuracy	99.7%	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
✓	accuracy	95.3%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	88.7%	(.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

59.0ms

256×

valid

Compiler

Compiled 136 to 21 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 13.0ms (42.4% of total)

ival-sub: 8.0ms (26.1% of total)

ival-mult: 8.0ms (26.1% of total)

ival-pi: 1.0ms (3.3% of total)

const: 1.0ms (3.3% of total)

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

series17.0ms (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
2.0ms	b	@	0	(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
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	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)))

rewrite363.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 806

Calls

Call 1

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

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

simplify560.0ms (5.1%)

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)

eval153.0ms (1.4%)

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

prune128.0ms (1.2%)

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))
	80.2%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 (PI.f64) (/.f64 b (PI.f64))) a) (.f64 a (/.f64 b (PI.f64)))) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))
	50.3%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (*.f64 b b))
	80.3%	(/.f64 (.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (-.f64 (.f64 b b) (*.f64 a a)))) #s(literal 2 binary64))
▶	50.3%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
	47.1%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
	58.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
▶	56.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
	80.1%	(/.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))))
▶	88.6%	(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶	47.5%	(.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)))
	80.3%	(.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
	50.3%	(.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 538 to 362 computations (32.7% saved)

simplify176.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3282×	`-lowering-.f32`
3282×	`-lowering-.f64`
1858×	`sum3-define`
1804×	`sum5-define`
1438×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	233
1	86	233
2	234	233
3	712	233
4	2138	233
5	6793	233
0	8499	233

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

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

localize159.0ms (1.4%)

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 2 binary64)) (+.f64 b a)) (-.f64 b a))
✓	accuracy	99.6%	(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a))
✓	accuracy	88.7%	(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓	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	95.1%	(.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)))
✓	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	92.4%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a)))
✓	accuracy	99.3%	(/.f64 (PI.f64) (*.f64 a a))
✓	accuracy	90.8%	(/.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

98.0ms

256×

valid

Compiler

Compiled 248 to 37 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 28.0ms (56.3% of total)

ival-mult: 13.0ms (26.1% of total)

ival-sub: 4.0ms (8% of total)

ival-add: 3.0ms (6% of total)

ival-pi: 1.0ms (2% of total)

const: 1.0ms (2% of total)

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

series49.0ms (0.4%)

Counts

21 → 360

Calls

Call 1

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

Outputs
#<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 (/ (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) 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) (* (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 (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)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))>
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))>
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))>
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))>
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))>
#<alt (* 1/2 (/ (PI) (* 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 (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 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
13.0ms	a	@	-inf	(* (/ (/ (* (PI) -1/2) a) a) (- (/ 1 a) (/ 1 b)))
3.0ms	a	@	0	(/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b))
2.0ms	b	@	-inf	(* (/ (/ (/ (PI) 2) (+ b a)) (- b a)) (- (/ 1 a) (/ 1 b)))
1.0ms	b	@	0	(* (/ (/ (/ (PI) 2) (+ b a)) (- b a)) (- (/ 1 a) (/ 1 b)))
1.0ms	a	@	0	(* (/ (/ (/ (PI) 2) (+ b a)) (- b a)) (- (/ 1 a) (/ 1 b)))

rewrite383.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4050×	`/-lowering-/.f32`
4050×	`/-lowering-/.f64`
3050×	`-lowering-.f32`
3050×	`-lowering-.f64`
1924×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	165
1	266	152
2	3095	152
0	8971	152

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1247

Calls

Call 1

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

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

simplify302.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

4930×	`-lowering-.f32`
4930×	`-lowering-.f64`
2808×	`+-lowering-+.f64`
2808×	`+-lowering-+.f32`
1706×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	658	6052
1	2167	5178
0	9264	5178

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

eval262.0ms (2.4%)

Compiler: Compiled 43527 to 5235 computations (88% saved)

prune215.0ms (1.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	1882	14	1896
Fresh	8	2	10
Picked	4	1	5
Done	0	0	0
Total	1894	17	1911

Accuracy

100.0%

Counts

1911 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.3%	(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) a) b)
✓	99.7%	(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
	61.0%	(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) a) (-.f64 b a))
	70.3%	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) (-.f64 b a))
	57.6%	(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b) b)
▶	99.7%	(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 a b))) (.f64 a b))
▶	57.6%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b)
▶	58.0%	(/.f64 (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (.f64 b b))
	57.9%	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 b b))
	60.7%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 a b)))
▶	57.6%	(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b)) (/.f64 b (PI.f64)))
	58.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
	80.1%	(/.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))))
	57.2%	(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b)))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 a b))) (.f64 a b))))
▶	56.0%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
	99.6%	(.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))))

Compiler

Compiled 479 to 342 computations (28.6% saved)

simplify146.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1714×	`times-frac`
1616×	`-lowering-.f32`
1616×	`-lowering-.f64`
1252×	`fma-define`
1022×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	179
1	81	179
2	217	179
3	449	179
4	777	179
5	1403	179
6	2226	179
7	2558	179
8	2792	179
9	2909	179
10	2934	179
11	2934	179
12	3154	179
13	3760	179
14	4281	179
15	4366	179
16	4406	179
17	4406	179
0	4406	179

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize162.0ms (1.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
✓	accuracy	99.7%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b)
✓	accuracy	99.7%	(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b)) (/.f64 b (PI.f64)))
✓	accuracy	99.7%	(/.f64 b (PI.f64))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
✓	accuracy	99.8%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b)
✓	accuracy	99.6%	(*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
✓	accuracy	99.6%	(/.f64 (PI.f64) b)
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	87.3%	(/.f64 (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (.f64 b b))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.3%	(/.f64 (PI.f64) (*.f64 a a))
✓	accuracy	90.7%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (+.f64 a b))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 a b))) (.f64 a b))
✓	accuracy	99.6%	(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))

Results

102.0ms

256×

valid

Compiler

Compiled 186 to 31 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 28.0ms (60.1% of total)

ival-mult: 13.0ms (27.9% of total)

ival-add: 3.0ms (6.4% of total)

ival-pi: 1.0ms (2.1% of total)

const: 1.0ms (2.1% of total)

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

series23.0ms (0.2%)

Counts

19 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

rewrite694.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5606×	`/-lowering-/.f32`
5606×	`/-lowering-/.f64`
3432×	`-lowering-.f32`
3432×	`-lowering-.f64`
1394×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	129
1	202	129
2	2079	129
0	8453	129

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1291

Calls

Call 1

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

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

simplify309.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

4848×	`-lowering-.f32`
4848×	`-lowering-.f64`
2410×	`+-lowering-+.f64`
2410×	`+-lowering-+.f32`
1698×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	304	3361
1	890	3334
2	2660	3174
3	4918	3076
0	8288	3076

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

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

eval279.0ms (2.5%)

Compiler: Compiled 36750 to 4341 computations (88.2% saved)

prune330.0ms (3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1985	12	1997
Fresh	11	0	11
Picked	3	2	5
Done	1	0	1
Total	2000	14	2014

Accuracy

100.0%

Counts

2014 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) a) a)
	93.3%	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) b) a)
	61.0%	(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (*.f64 a b))
▶	65.3%	(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) b)
	65.3%	(/.f64 (/.f64 (PI.f64) (.f64 b #s(literal 2 binary64))) (.f64 a b))
▶	65.3%	(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 b #s(literal 1/2 binary64)))
▶	99.0%	(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (.f64 a b) (+.f64 a b)))
	65.3%	(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 b (PI.f64)))
✓	58.0%	(/.f64 (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (.f64 b b))
	91.8%	(/.f64 (PI.f64) (.f64 a (.f64 b (*.f64 #s(literal 2 binary64) (+.f64 a b)))))
✓	56.0%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
	95.0%	(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a))
▶	61.0%	(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))
	99.0%	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a b) (+.f64 a b))))

Compiler

Compiled 310 to 222 computations (28.4% saved)

simplify26.0ms (0.2%)

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

Rules

332×	`-lowering-.f32`
332×	`-lowering-.f64`
286×	`/-lowering-/.f32`
286×	`/-lowering-/.f64`
170×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	135
1	61	135
2	154	135
3	317	135
4	478	135
5	575	135
6	582	135
0	582	135

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize148.0ms (1.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.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%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) b)
✓	accuracy	99.7%	(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a)
✓	accuracy	99.5%	(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 b #s(literal 1/2 binary64)))
✓	accuracy	99.5%	(/.f64 (PI.f64) (*.f64 a b))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1/2 binary64) b) 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) (+.f64 a b))
✓	accuracy	99.1%	(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (.f64 a b) (+.f64 a b)))

Results

110.0ms

256×

valid

Compiler

Compiled 138 to 24 computations (82.6% saved)

Precisions

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

ival-div: 58.0ms (86% of total)

ival-mult: 7.0ms (10.4% of total)

ival-pi: 1.0ms (1.5% of total)

ival-add: 1.0ms (1.5% of total)

const: 1.0ms (1.5% of total)

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

series13.0ms (0.1%)

Counts

16 → 300

Calls

Call 1

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

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

Calls

75 calls:

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

rewrite325.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3098×	`-lowering-.f32`
3098×	`-lowering-.f64`
2818×	`/-lowering-/.f32`
2818×	`/-lowering-/.f64`
912×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	98
1	164	98
2	1374	98
3	6324	98
0	8068	98

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1046

Calls

Call 1

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

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

simplify353.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3920×	`-lowering-.f32`
3920×	`-lowering-.f64`
1856×	`fma-lowering-fma.f32`
1856×	`fma-lowering-fma.f64`
1804×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	157	2372
1	427	2362
2	1241	2334
3	3033	2310
4	5401	2306
0	8087	2306

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

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

eval214.0ms (1.9%)

Compiler: Compiled 20941 to 2511 computations (88% saved)

prune387.0ms (3.5%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1624	6	1630
Fresh	4	3	7
Picked	2	3	5
Done	0	2	2
Total	1630	14	1644

Accuracy

100.0%

Counts

1644 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.3%	(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b) b)
✓	61.0%	(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) a) a)
	93.3%	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) b) a)
	92.4%	(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (*.f64 b (+.f64 a b)))
	61.0%	(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (*.f64 a b))
✓	65.3%	(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) a) b)
	65.3%	(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 b (PI.f64)))
	65.3%	(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 a (/.f64 (PI.f64) b)))
✓	58.0%	(/.f64 (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (.f64 b b))
	58.9%	(*.f64 (/.f64 (/.f64 (PI.f64) b) b) (/.f64 #s(literal 1/2 binary64) a))
	65.3%	(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) b) (PI.f64))
✓	56.0%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
✓	61.0%	(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))
	99.0%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) (+.f64 a b))) (PI.f64))

Compiler

Compiled 787 to 267 computations (66.1% saved)

regimes46.0ms (0.4%)

Counts

49 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	a
15.0ms	b
11.0ms	(.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)

regimes16.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	b
6.0ms	a

Results

Accuracy	Segments	Branch
99.0%	1	`a`
99.0%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	b
6.0ms	a

Results

Accuracy	Segments	Branch
99.0%	1	`a`
99.0%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	a
5.0ms	b

Results

Accuracy	Segments	Branch
93.0%	2	`a`
88.5%	2	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
93.0%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
93.0%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
93.0%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
92.9%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -3.2b remaining (-13%)

Threshold costs -3.2b (-13%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
61.0%	1	`b`
61.0%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-5.996696158073438e-27	-1.6091337192002115e-27

Results

8.0ms

80×

valid

Compiler

Compiled 148 to 109 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (36.1% of total)

ival-mult: 2.0ms (36.1% of total)

ival-sub: 1.0ms (18% of total)

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

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-5.815380567078818e-20	-2.3037613201038375e-20

Results

9.0ms

80×

valid

Compiler

Compiled 148 to 109 computations (26.4% saved)

Precisions

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

ival-div: 3.0ms (45.6% of total)

ival-mult: 2.0ms (30.4% of total)

ival-sub: 1.0ms (15.2% of total)

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

const: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-5.815380567078818e-20	-2.3037613201038375e-20

Results

8.0ms

80×

valid

Compiler

Compiled 148 to 109 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (37.6% of total)

ival-mult: 2.0ms (37.6% of total)

ival-sub: 1.0ms (18.8% of total)

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

const: 0.0ms (0% of total)

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

bsearch42.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	-5.815380567078818e-20	-2.3037613201038375e-20

Results

38.0ms

80×

valid

Compiler

Compiled 148 to 109 computations (26.4% saved)

Precisions

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

ival-div: 33.0ms (92.3% of total)

ival-mult: 2.0ms (5.6% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-5.815380567078818e-20	-2.3037613201038375e-20

Results

8.0ms

80×

valid

Compiler

Compiled 148 to 109 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (37.5% of total)

ival-mult: 2.0ms (37.5% of total)

ival-sub: 1.0ms (18.8% of total)

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

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	152
1	53	152

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 a b))) (.f64 a b))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (.f64 a b) (+.f64 a b)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) (+.f64 a b))) (PI.f64))
(if (<=.f64 a #s(literal -8223399791958167/1393796574908163946345982392040522594123776 binary64)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (.f64 a b)) (/.f64 (/.f64 (PI.f64) (.f64 b #s(literal 2 binary64))) (*.f64 a b)))
(if (<=.f64 a #s(literal -8473828473128839/166153499473114484112975882535043072 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) (/.f64 (/.f64 (PI.f64) (.f64 b #s(literal 2 binary64))) (*.f64 a b)))
(if (<=.f64 a #s(literal -2326148992623603/41538374868278621028243970633760768 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) (/.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 b #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -8473828473128839/166153499473114484112975882535043072 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 b (PI.f64))))
(if (<=.f64 a #s(literal -934613434536269/20769187434139310514121985316880384 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) b) (PI.f64)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))

Outputs
(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 a 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 (+.f64 a b) (.f64 a b)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) (+.f64 a b))) (PI.f64))
(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 a b) (*.f64 a b))))
(if (<=.f64 a #s(literal -8223399791958167/1393796574908163946345982392040522594123776 binary64)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (.f64 a b)) (/.f64 (/.f64 (PI.f64) (.f64 b #s(literal 2 binary64))) (*.f64 a b)))
(if (<=.f64 a #s(literal -8223399791958167/1393796574908163946345982392040522594123776 binary64)) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (.f64 a b)) (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) b)) (*.f64 a b)))
(if (<=.f64 a #s(literal -8473828473128839/166153499473114484112975882535043072 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) (/.f64 (/.f64 (PI.f64) (.f64 b #s(literal 2 binary64))) (*.f64 a b)))
(if (<=.f64 a #s(literal -8473828473128839/166153499473114484112975882535043072 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) b)) (*.f64 a b)))
(if (<=.f64 a #s(literal -2326148992623603/41538374868278621028243970633760768 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) (/.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 b #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -8473828473128839/166153499473114484112975882535043072 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 b (PI.f64))))
(if (<=.f64 a #s(literal -934613434536269/20769187434139310514121985316880384 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) b) (PI.f64)))
(if (<=.f64 a #s(literal -934613434536269/20769187434139310514121985316880384 binary64)) (.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) b)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))

soundness2.5s (22.4%)

Rules

5606×	`/-lowering-/.f32`
5606×	`/-lowering-/.f64`
4996×	`-lowering-.f32`
4996×	`-lowering-.f64`
4930×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	658	6052
1	2167	5178
0	9264	5178
0	36	165
1	266	152
2	3095	152
0	8971	152
0	303	2631
1	885	2568
2	2827	2478
3	7434	2474
0	8272	2474
0	23	98
1	164	98
2	1374	98
3	6324	98
0	8068	98
0	304	3361
1	890	3334
2	2660	3174
3	4918	3076
0	8288	3076
0	30	129
1	202	129
2	2079	129
0	8453	129
0	20	81
1	171	81
2	1854	81
0	8624	81

Stop Event

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

Compiler

Compiled 647 to 400 computations (38.2% saved)

preprocess48.0ms (0.4%)

Remove: (sort a b)
Compiler: Compiled 432 to 174 computations (59.7% saved)

analyze165.0ms (1.5%)

sample1.3s (11.8%)

preprocess241.0ms (2.2%)

explain142.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify173.0ms (1.6%)

localize89.0ms (0.8%)

series17.0ms (0.2%)

rewrite363.0ms (3.3%)

simplify560.0ms (5.1%)

eval153.0ms (1.4%)

prune128.0ms (1.2%)

simplify176.0ms (1.6%)

localize159.0ms (1.4%)

series49.0ms (0.4%)

rewrite383.0ms (3.5%)

simplify302.0ms (2.7%)

eval262.0ms (2.4%)

prune215.0ms (1.9%)

simplify146.0ms (1.3%)

localize162.0ms (1.5%)

series23.0ms (0.2%)

rewrite694.0ms (6.3%)

simplify309.0ms (2.8%)

eval279.0ms (2.5%)

prune330.0ms (3%)

simplify26.0ms (0.2%)

localize148.0ms (1.3%)

series13.0ms (0.1%)

rewrite325.0ms (2.9%)

simplify353.0ms (3.2%)

eval214.0ms (1.9%)

prune387.0ms (3.5%)

regimes46.0ms (0.4%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

regimes30.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

bsearch12.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch42.0ms (0.4%)

bsearch12.0ms (0.1%)

simplify9.0ms (0.1%)

soundness2.5s (22.4%)

preprocess48.0ms (0.4%)

end0.0ms (0%)

Profiling