Metrics for NMSE Section 6.1 mentioned, B

analyze201.0ms (1.3%)

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 18 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-mult: 65.0ms (49% of total)

ival-div: 51.0ms (38.5% of total)

ival-sub: 9.0ms (6.8% of total)

ival-pi: 4.0ms (3% of total)

const: 2.0ms (1.5% of total)

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

sample1.5s (9.9%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 830.0ms

ival-mult: 330.0ms (39.8% of total)

ival-div: 320.0ms (38.6% of total)

ival-sub: 104.0ms (12.5% of total)

ival-pi: 47.0ms (5.7% of total)

const: 25.0ms (3% of total)

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

Bogosity

preprocess543.0ms (3.6%)

Algorithm

2×	egg-herbie

Rules

8062×	`accelerator-lowering-fma.f32`
8062×	`accelerator-lowering-fma.f64`
4668×	`-lowering-.f32`
4668×	`-lowering-.f64`
2098×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	130
1	134	114
2	468	114
3	2364	114
4	5207	114
5	7440	114
0	15	21
1	35	19
2	97	19
3	382	18
4	1558	17
5	4265	17
0	8387	17

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

Symmetry

(sort a b)

explain191.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
44	0	-	7	(-2.261726338152037e+159 -8.200732229261789e-302)	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
16	0	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
7	1	(-1.6443738161085572e-12 3.0417201818050615e+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

118.0ms

512×

valid

Compiler

Compiled 183 to 93 computations (49.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 43.0ms (53.6% of total)

ival-mult: 24.0ms (29.9% of total)

ival-sub: 8.0ms (10% of total)

const: 4.0ms (5% of total)

ival-pi: 2.0ms (2.5% 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
▶	74.3%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a)))
▶	74.3%	(.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

▶

74.3%

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

▶

74.3%

(*.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 29 computations (31% saved)

localize1.7s (11.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 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)))
✓	accuracy	99.6%	(/.f64 (PI.f64) b)
✓	accuracy	99.4%	(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))
✓	accuracy	94.6%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	84.2%	(/.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	98.9%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
✓	accuracy	94.6%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	85.5%	(.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

35764×	`accelerator-lowering-fma.f32`
35764×	`accelerator-lowering-fma.f64`
5458×	`-lowering-.f32`
5458×	`-lowering-.f64`
1496×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	120
1	47	114
2	134	114
3	491	110
4	1862	110
5	5109	110
0	8234	110

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) b)

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

Results

158.0ms

256×

valid

Compiler

Compiled 136 to 47 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 68.0ms (64.5% of total)

ival-div: 29.0ms (27.5% of total)

ival-sub: 5.0ms (4.7% of total)

const: 2.0ms (1.9% of total)

ival-pi: 1.0ms (0.9% of total)

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

series26.0ms (0.2%)

Counts

11 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite493.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4872×	`-lowering-.f32`
4872×	`-lowering-.f64`
4358×	`/-lowering-/.f32`
4358×	`/-lowering-/.f64`
2280×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	91
1	159	87
2	1734	87
0	8425	87

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 799

Calls

Call 1

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

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

simplify1.2s (7.8%)

Algorithm

1×	egg-herbie

Rules

12726×	`accelerator-lowering-fma.f32`
12726×	`accelerator-lowering-fma.f64`
5552×	`-lowering-.f32`
5552×	`-lowering-.f64`
2106×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	303	2686
1	798	2643
2	2347	2553
3	6480	2553
0	8195	2428

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

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

eval253.0ms (1.7%)

Compiler: Compiled 33695 to 12219 computations (63.7% saved)

prune187.0ms (1.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1137	15	1152
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1139	15	1154

Accuracy

99.3%

Counts

1154 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
	74.3%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 (PI.f64) b) (.f64 (PI.f64) a)) (.f64 b a)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (*.f64 a a)))
	50.6%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) b) (-.f64 (.f64 b b) (*.f64 a a)))
	54.6%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b)
▶	55.2%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (.f64 b b))
	71.6%	(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b a)))
	74.4%	(/.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))
▶	47.1%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
	48.8%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
▶	74.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal 1/2 binary64)))
	85.4%	(*.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)))
▶	49.5%	(.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)))
	98.8%	(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	47.2%	(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	98.7%	(*.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)))

Compiler

Compiled 538 to 370 computations (31.2% saved)

localize796.0ms (5.2%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 b b) (.f64 a a))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal 1/2 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal 1/2 binary64)))
✓	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 #s(literal 1/2 binary64) (PI.f64))
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
✓	cost-diff	0	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (.f64 b b))
✓	cost-diff	0	(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a))
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
✓	accuracy	99.6%	(/.f64 (PI.f64) b)
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal 1/2 binary64)))
✓	accuracy	94.6%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	85.2%	(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) 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	93.4%	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
✓	accuracy	99.6%	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
✓	accuracy	91.3%	(/.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%	(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
✓	accuracy	84.1%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (.f64 b b))
✓	accuracy	99.7%	(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a))
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	99.6%	(/.f64 (PI.f64) b)
✓	accuracy	99.4%	(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64))

Rules

6254×	`accelerator-lowering-fma.f32`
6254×	`accelerator-lowering-fma.f64`
3520×	`-lowering-.f32`
3520×	`-lowering-.f64`
2848×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	222
1	91	222
2	254	222
3	718	220
4	2010	220
5	6625	220
0	8154	220

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

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

Results

217.0ms

256×

valid

Compiler

Compiled 262 to 95 computations (63.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-div: 115.0ms (75.4% of total)

ival-mult: 20.0ms (13.1% of total)

ival-sub: 6.0ms (3.9% of total)

ival-add: 5.0ms (3.3% of total)

const: 4.0ms (2.6% of total)

ival-pi: 1.0ms (0.7% of total)

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

series63.0ms (0.4%)

Counts

22 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
8.0ms	a	@	inf	(/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a))
3.0ms	b	@	inf	(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))
3.0ms	b	@	0	(/ (* (PI) (+ (/ -1/2 b) (/ 1/2 a))) (* b b))
1.0ms	b	@	0	(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))
1.0ms	a	@	0	(/ (/ (/ (- (/ (PI) a) (/ (PI) b)) 2) (+ b a)) (- b a))

rewrite788.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5576×	`/-lowering-/.f32`
5576×	`/-lowering-/.f64`
3864×	`-lowering-.f32`
3864×	`-lowering-.f64`
3382×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	196
1	281	192
2	3044	192
0	9130	192

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1351

Calls

Call 1

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

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

simplify515.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

9940×	`accelerator-lowering-fma.f32`
9940×	`accelerator-lowering-fma.f64`
4024×	`-lowering-.f32`
4024×	`-lowering-.f64`
2124×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	542	5041
1	1612	4801
2	5603	4226
0	9730	4095

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval582.0ms (3.8%)

Compiler: Compiled 50161 to 19333 computations (61.5% saved)

prune521.0ms (3.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	2139	15	2154
Fresh	9	1	10
Picked	4	1	5
Done	0	0	0
Total	2152	17	2169

Accuracy

100.0%

Counts

2169 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 2 binary64)) (+.f64 b a)) (-.f64 b a))
	55.9%	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))) a)
	64.0%	(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a))
	63.7%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) b)
	54.6%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b)
	50.9%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (.f64 a b) (*.f64 a a)))
▶	63.3%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a b)))
	61.1%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
▶	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 a b) (PI.f64)) (+.f64 b a)) #s(literal 1/2 binary64)))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (/.f64 (.f64 a b) (PI.f64))) #s(literal 1/2 binary64)))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a (*.f64 a b))) (PI.f64)))
▶	55.3%	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (/.f64 #s(literal -1 binary64) b))
▶	55.5%	(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b) (/.f64 (PI.f64) b))
	63.7%	(.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
	55.2%	(.f64 (/.f64 (PI.f64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
	62.9%	(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) b))
▶	63.2%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a b))))

Compiler

Compiled 431 to 314 computations (27.1% saved)

localize652.0ms (4.3%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) b)
✓	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	0	(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b) (/.f64 (PI.f64) 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 #s(literal -1 binary64) b))
✓	cost-diff	0	(.f64 b (.f64 a b))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a b)))
✓	cost-diff	0	(.f64 b (.f64 a b))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a b)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a b))))
✓	cost-diff	0	(/.f64 (*.f64 a b) (PI.f64))
✓	cost-diff	0	(.f64 (/.f64 (.f64 a b) (PI.f64)) (+.f64 b a))
✓	cost-diff	0	(/.f64 (.f64 (/.f64 (.f64 a b) (PI.f64)) (+.f64 b a)) #s(literal 1/2 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 a b) (PI.f64)) (+.f64 b a)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
✓	accuracy	99.8%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b)
✓	accuracy	99.7%	(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b) (/.f64 (PI.f64) b))
✓	accuracy	99.6%	(/.f64 (PI.f64) b)
✓	accuracy	100.0%	(PI.f64)
✓	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	87.5%	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) a) (/.f64 #s(literal -1 binary64) b))
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(.f64 b (.f64 a b))
✓	accuracy	99.3%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a b)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(.f64 b (.f64 a b))
✓	accuracy	99.7%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a b))))
✓	accuracy	99.3%	(/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a b)))
✓	accuracy	100.0%	(/.f64 (.f64 (/.f64 (.f64 a b) (PI.f64)) (+.f64 b a)) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(.f64 (/.f64 (.f64 a b) (PI.f64)) (+.f64 b a))
✓	accuracy	99.6%	(/.f64 (*.f64 a b) (PI.f64))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 a b) (PI.f64)) (+.f64 b a)) #s(literal 1/2 binary64)))

Rules

4474×	`-lowering-.f32`
4474×	`-lowering-.f64`
2792×	`accelerator-lowering-fma.f32`
2792×	`accelerator-lowering-fma.f64`
2648×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	151
1	74	149
2	191	147
3	495	147
4	1197	147
5	3357	147
6	5089	147
0	8298	147

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

174.0ms

256×

valid

Compiler

Compiled 181 to 74 computations (59.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 54.0ms (48% of total)

ival-div: 49.0ms (43.6% of total)

ival-add: 5.0ms (4.4% of total)

const: 3.0ms (2.7% of total)

ival-pi: 1.0ms (0.9% of total)

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

series96.0ms (0.6%)

Counts

20 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
54.0ms	a	@	inf	(* b (* a b))
5.0ms	a	@	-inf	(/ (* a b) (PI))
1.0ms	b	@	0	(* (/ (/ (* (PI) -1/2) a) a) (/ -1 b))
1.0ms	a	@	inf	(/ 1/2 (* b (* a b)))
1.0ms	a	@	0	(* (/ (/ (* (PI) -1/2) a) a) (/ -1 b))

rewrite481.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5756×	`/-lowering-/.f32`
5756×	`/-lowering-/.f64`
4472×	`-lowering-.f32`
4472×	`-lowering-.f64`
2372×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	136
1	190	132
2	1786	132
0	8274	132

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1051

Calls

Call 1

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

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

simplify1.0s (6.6%)

Algorithm

1×	egg-herbie

Rules

18014×	`accelerator-lowering-fma.f32`
18014×	`accelerator-lowering-fma.f64`
6938×	`-lowering-.f32`
6938×	`-lowering-.f64`
2474×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	3232
1	582	3224
2	1525	3064
3	3578	2950
4	6941	2950
0	8252	2896

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

eval395.0ms (2.6%)

Compiler: Compiled 27017 to 13507 computations (50% saved)

prune303.0ms (2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1636	11	1647
Fresh	8	3	11
Picked	4	1	5
Done	1	0	1
Total	1649	15	1664

Accuracy

100.0%

Counts

1664 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) b) a)
	55.2%	(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) a) b)
	64.0%	(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b)) a) (-.f64 b a))
	63.7%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b) (.f64 a b))
▶	54.6%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b)
	54.6%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a))
	61.7%	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 a b))
▶	61.1%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
✓	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 a b) (PI.f64)) (+.f64 b a)) #s(literal 1/2 binary64)))
▶	98.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 a b))))
	63.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b (PI.f64)) (.f64 a b)))
	63.6%	(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) b) (PI.f64))
▶	63.6%	(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) b))
	90.7%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b (+.f64 a b)))) (PI.f64))
	61.7%	(.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))

Compiler

Compiled 339 to 245 computations (27.7% saved)

localize510.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))
✓	cost-diff	0	(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) b)
✓	cost-diff	0	(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) b) a)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a))
✓	cost-diff	0	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b)
✓	cost-diff	0	(.f64 a (.f64 a b))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
✓	cost-diff	0	(/.f64 (PI.f64) b)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
✓	cost-diff	0	(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) b))
✓	cost-diff	0	(/.f64 (PI.f64) (*.f64 a b))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 a b)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 a b))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) b) a)
✓	accuracy	99.7%	(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) b)
✓	accuracy	99.5%	(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a))
✓	accuracy	87.6%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(.f64 a (.f64 a b))
✓	accuracy	99.2%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
✓	accuracy	99.7%	(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) b))
✓	accuracy	99.6%	(/.f64 (PI.f64) b)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 a b)))
✓	accuracy	99.4%	(/.f64 (PI.f64) (*.f64 a b))
✓	accuracy	98.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) (/.f64 (PI.f64) (*.f64 a b))))

Rules

326×	`/-lowering-/.f32`
326×	`/-lowering-/.f64`
324×	`-lowering-.f32`
324×	`-lowering-.f64`
192×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	112
1	56	112
2	119	112
3	216	112
4	321	112
5	394	112
6	449	112
7	481	112
8	515	112
9	524	112
0	524	112

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

108.0ms

256×

valid

Compiler

Compiled 140 to 55 computations (60.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 41.0ms (62.2% of total)

ival-mult: 20.0ms (30.4% of total)

ival-add: 2.0ms (3% of total)

const: 2.0ms (3% of total)

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

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

series37.0ms (0.2%)

Counts

17 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

rewrite489.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4228×	`-lowering-.f32`
4228×	`-lowering-.f64`
4038×	`/-lowering-/.f32`
4038×	`/-lowering-/.f64`
1432×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	103
1	153	103
2	1249	103
3	7264	103
0	8495	103

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1176

Calls

Call 1

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

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

simplify639.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

8966×	`accelerator-lowering-fma.f32`
8966×	`accelerator-lowering-fma.f64`
4558×	`-lowering-.f32`
4558×	`-lowering-.f64`
3558×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	2464
1	463	2456
2	1193	2376
3	3532	2332
4	6032	2332
0	8038	2302

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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

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

eval307.0ms (2%)

Compiler: Compiled 23524 to 10286 computations (56.3% saved)

prune287.0ms (1.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1739	8	1747
Fresh	9	0	9
Picked	3	2	5
Done	1	0	1
Total	1752	10	1762

Accuracy

100.0%

Counts

1762 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.7%	(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) a)
✓	54.6%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b)
	92.6%	(/.f64 (/.f64 (PI.f64) b) (*.f64 (+.f64 a b) (/.f64 a #s(literal 1/2 binary64))))
	63.7%	(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b (PI.f64))) (*.f64 a b))
	61.7%	(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 a (PI.f64)))
	62.9%	(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (/.f64 (PI.f64) a)))
	62.9%	(/.f64 (PI.f64) (/.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
	63.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) (*.f64 a b))))
✓	63.6%	(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) b))
	61.7%	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))

Compiler

Compiled 735 to 364 computations (50.5% saved)

regimes86.0ms (0.6%)

Counts

51 → 1

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	b
14.0ms	a
10.0ms	(.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
98.9%	1	`a`
98.9%	1	`b`
98.9%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes28.0ms (0.2%)

Counts

43 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	b
12.0ms	a

Results

Accuracy	Segments	Branch
98.8%	1	`a`
98.8%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	b
12.0ms	a

Results

Accuracy	Segments	Branch
98.6%	1	`a`
98.6%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.2%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	a
14.0ms	b

Results

Accuracy	Segments	Branch
96.6%	2	`a`
99.2%	2	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.2%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	a
12.0ms	b

Results

Accuracy	Segments	Branch
92.5%	2	`a`
92.8%	2	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
92.8%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
92.7%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
92.7%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
3.0ms	b

Results

Accuracy	Segments	Branch
92.2%	2	`a`
92.2%	2	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.6b remaining (-2.4%)

Threshold costs -0.6b (-2.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
63.2%	1	`a`
63.2%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.744709448091696e+81	8.674898604061427e+82

Results

10.0ms

96×

valid

Compiler

Compiled 184 to 135 computations (26.6% saved)

Precisions

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

ival-div: 3.0ms (45% of total)

ival-mult: 2.0ms (30% of total)

ival-sub: 1.0ms (15% of total)

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

const: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.7002314377775204e-22	3.0226437175225582e-22

Results

6.0ms

64×

valid

Compiler

Compiled 124 to 93 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (44.6% of total)

ival-mult: 2.0ms (44.6% of total)

ival-sub: 1.0ms (22.3% of total)

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

const: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.7002314377775204e-22	3.0226437175225582e-22

Results

7.0ms

64×

valid

Compiler

Compiled 124 to 93 computations (25% saved)

Precisions

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

ival-div: 2.0ms (44.1% of total)

ival-mult: 2.0ms (44.1% of total)

ival-sub: 1.0ms (22.1% of total)

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

const: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.7002314377775204e-22	3.0226437175225582e-22

Results

6.0ms

64×

valid

Compiler

Compiled 124 to 93 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (44.6% of total)

ival-mult: 2.0ms (44.6% of total)

ival-sub: 1.0ms (22.3% of total)

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

const: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.7002314377775204e-22	3.0226437175225582e-22

Results

8.0ms

64×

valid

Compiler

Compiled 124 to 93 computations (25% saved)

Precisions

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

ival-mult: 3.0ms (52.7% of total)

ival-div: 2.0ms (35.2% of total)

ival-sub: 1.0ms (17.6% of total)

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

const: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.7002314377775204e-22	3.0226437175225582e-22

Results

6.0ms

64×

valid

Compiler

Compiled 124 to 93 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (44.6% of total)

ival-mult: 2.0ms (44.6% of total)

ival-sub: 1.0ms (22.3% of total)

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

const: 0.0ms (0% of total)

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

soundness2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 190 to 88 computations (53.7% saved)

preprocess137.0ms (0.9%)

Compiler: Compiled 686 to 380 computations (44.6% saved)

Iter	Nodes	Cost
0	22	112
1	56	112
2	119	112
3	216	112
4	321	112
5	394	112
6	449	112
7	481	112
8	515	112
9	524	112
0	524	112

Iter	Nodes	Cost
0	22	112
1	56	112
2	119	112
3	216	112
4	321	112
5	394	112
6	449	112
7	481	112
8	515	112
9	524	112
0	524	112

analyze201.0ms (1.3%)

sample1.5s (9.9%)

preprocess543.0ms (3.6%)

explain191.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize1.7s (11.1%)

series26.0ms (0.2%)

rewrite493.0ms (3.3%)

simplify1.2s (7.8%)

eval253.0ms (1.7%)

prune187.0ms (1.2%)

localize796.0ms (5.2%)

series63.0ms (0.4%)

rewrite788.0ms (5.2%)

simplify515.0ms (3.4%)

eval582.0ms (3.8%)

prune521.0ms (3.4%)

localize652.0ms (4.3%)

series96.0ms (0.6%)

rewrite481.0ms (3.2%)

simplify1.0s (6.6%)

eval395.0ms (2.6%)

prune303.0ms (2%)

localize510.0ms (3.4%)

series37.0ms (0.2%)

rewrite489.0ms (3.2%)

simplify639.0ms (4.2%)

eval307.0ms (2%)

prune287.0ms (1.9%)

regimes86.0ms (0.6%)

regimes28.0ms (0.2%)

regimes26.0ms (0.2%)

regimes31.0ms (0.2%)

regimes27.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

bsearch16.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch10.0ms (0.1%)

soundness2.0ms (0%)

preprocess137.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	112
1	56	112
2	119	112
3	216	112
4	321	112
5	394	112
6	449	112
7	481	112
8	515	112
9	524	112
0	524	112