Metrics for NMSE Section 6.1 mentioned, B

analyze142.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
71.1%	71%	28.9%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
85%	84.9%	15%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 24 to 16 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 28.0ms (36.2% of total)

ival-div: 26.0ms (33.6% of total)

ival-pi: 12.0ms (15.5% of total)

ival-sub: 9.0ms (11.6% of total)

const: 2.0ms (2.6% of total)

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

sample1.5s (15.1%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 752.0ms

ival-div: 319.0ms (42.4% of total)

ival-mult: 299.0ms (39.7% of total)

ival-sub: 79.0ms (10.5% of total)

ival-pi: 38.0ms (5.1% of total)

const: 14.0ms (1.9% of total)

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

Bogosity

preprocess223.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

1916×	`fnmsub-define`
1864×	`-lowering-.f32`
1864×	`-lowering-.f64`
1538×	`fmm-def`
1296×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	100
1	143	90
2	437	90
3	1626	90
4	5400	90
0	15	16
1	39	15
2	93	15
3	288	15
4	848	15
5	2180	15
6	4920	15
0	8209	15

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

Call 2

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

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

Symmetry

(sort a b)

explain341.0ms (3.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
31	1	(-2.7284848227395746e-148 9.49316675422428e+234)	2	(-1.2421775311261815e+159 -9.493154935825496e-242)	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
14	0	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
4	0	-	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

280.0ms

512×

valid

Compiler

Compiled 183 to 47 computations (74.3% saved)

Precisions

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

ival-mult: 16.0ms (38.8% of total)

ival-div: 15.0ms (36.4% of total)

ival-sub: 6.0ms (14.5% of total)

ival-pi: 2.0ms (4.8% of total)

const: 1.0ms (2.4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 19 to 13 computations (31.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.9%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (-.f64 (.f64 b b) (*.f64 a a)))
▶	82.9%	(.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

▶

82.9%

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

▶

82.9%

(*.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 28 computations (33.3% saved)

simplify242.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

1894×	`-lowering-.f32`
1894×	`-lowering-.f64`
1348×	`fma-lowering-fma.f32`
1348×	`fma-lowering-fma.f64`
1296×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	110
1	56	107
2	126	107
3	330	107
4	960	107
5	2443	107
6	5199	107
0	8110	107

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

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

localize126.0ms (1.3%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
✓	accuracy	99.5%	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
✓	accuracy	94.8%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	89.5%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (-.f64 (.f64 b b) (*.f64 a a)))
✓	accuracy	99.7%	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
✓	accuracy	94.8%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	90.0%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

98.0ms

256×

valid

Compiler

Compiled 137 to 23 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 17.0ms (56% of total)

ival-mult: 8.0ms (26.4% of total)

ival-sub: 2.0ms (6.6% of total)

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

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

const: 1.0ms (3.3% of total)

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

series17.0ms (0.2%)

Counts

9 → 168

Calls

Call 1

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

Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))>
#<alt (* 1/2 (/ (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 (/ 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 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 (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (/ -1 (pow a 2))>
#<alt (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))>
#<alt (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>

Calls

42 calls:

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

rewrite307.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4218×	`-lowering-.f32`
4218×	`-lowering-.f64`
2354×	`/-lowering-/.f32`
2354×	`/-lowering-/.f64`
1978×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	70
1	134	70
2	881	70
3	7346	70
0	8325	70

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 790

Calls

Call 1

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

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

simplify237.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4602×	`-lowering-.f32`
4602×	`-lowering-.f64`
2438×	`/-lowering-/.f32`
2438×	`/-lowering-/.f64`
2194×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	2544
1	1046	2243
2	3210	2108
0	8125	2108

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (- (* -1/2 (/ (* a (PI)) (pow b 5))) (* -1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (- (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (* 1/2 (/ (PI) b)))) (* -1/2 (/ (* b (PI)) (pow a 2)))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (* (pow b 2) (PI)) a)) (* -1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (- (* -1/2 (/ (* b (PI)) (pow a 5))) (* -1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (- (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (* 1/2 (/ (PI) a)))) (* -1/2 (/ (* a (PI)) (pow b 2)))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (* (pow a 2) (PI)) b)) (* -1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)
(* -1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(* -1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(* -1/2 (/ (PI) b))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))
(/ 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 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 (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(/ -1 (pow a 2))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))

Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
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(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (.f64 (/.f64 (PI.f64) 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 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 (PI.f64) (-.f64 (/.f64 (.f64 a a) b) a)) b))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (+.f64 (.f64 (PI.f64) (.f64 a (/.f64 #s(literal -1/2 binary64) b))) (.f64 #s(literal 1/2 binary64) (PI.f64))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (* (pow a 2) (PI)) b)) (* -1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) (-.f64 (/.f64 (.f64 a a) b) a))) 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 (PI.f64) (.f64 a (/.f64 #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 (PI.f64) (.f64 a (/.f64 #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 (PI.f64) (.f64 a (/.f64 #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) a) (/.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) a) (/.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) a) (/.f64 #s(literal -1/2 binary64) b)))
(* -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) a) (/.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) a) (/.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) a) (/.f64 #s(literal -1/2 binary64) b)))
(* -1/2 (/ (PI) b))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)
(/.f64 (+.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (.f64 #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) a) (/.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) a) (/.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) a) (/.f64 #s(literal -1/2 binary64) 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) a) (/.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) a) (/.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) 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 a (/.f64 #s(literal -1/2 binary64) b))) a)
(/ (+ 1/2 (* -1/2 (/ a b))) a)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 #s(literal -1/2 binary64) b))) a)
(/ (+ 1/2 (* -1/2 (/ a b))) a)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 #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 a)) 1/2) b)
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) b)
(/ (- (* 1/2 (/ b a)) 1/2) b)
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) b)
(/ (- (* 1/2 (/ b a)) 1/2) b)
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) b)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(- (* 1/2 (/ 1 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 (pow a 2))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(- (pow b 2) (pow a 2))
(-.f64 (.f64 b b) (.f64 a a))
(- (pow b 2) (pow a 2))
(-.f64 (.f64 b b) (.f64 a a))
(- (pow b 2) (pow a 2))
(-.f64 (.f64 b b) (.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))))
(pow b 2)
(*.f64 b b)
(+ (* -1 (pow a 2)) (pow b 2))
(-.f64 (.f64 b b) (.f64 a a))
(+ (* -1 (pow a 2)) (pow b 2))
(-.f64 (.f64 b b) (.f64 a a))
(+ (* -1 (pow a 2)) (pow b 2))
(-.f64 (.f64 b b) (.f64 a a))
(* -1 (pow a 2))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a))))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a))))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a))))
(* -1 (pow a 2))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a))))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a))))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a))))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) (.f64 b (/.f64 b (pow.f64 a #s(literal 4 binary64)))))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+.f64 (.f64 (.f64 b b) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (.f64 b b) (pow.f64 a #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 a a)))
(- (* (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)))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (.f64 b b) (pow.f64 a #s(literal 8 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 a a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b #s(literal 4 binary64))))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (.f64 a a) (pow.f64 b #s(literal 6 binary64))))))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (.f64 a a) (pow.f64 b #s(literal 8 binary64))))))))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))

eval131.0ms (1.3%)

Compiler: Compiled 24858 to 2475 computations (90% saved)

prune110.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	1088	11	1099
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1090	11	1101

Accuracy

90.0%

Counts

1101 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.8%	(/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (-.f64 b a)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 b a))
	54.3%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b))
▶	47.3%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
	62.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
▶	54.2%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
▶	82.9%	(/.f64 (PI.f64) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
	47.5%	(.f64 (/.f64 (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) a)) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	75.9%	(.f64 (-.f64 b a) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 b a)))
	54.3%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶	47.3%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶	54.3%	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 370 to 256 computations (30.8% saved)

simplify172.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2816×	`-lowering-.f32`
2816×	`-lowering-.f64`
1512×	`sum4-define`
1436×	`fma-lowering-fma.f32`
1436×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	202
1	93	202
2	246	200
3	781	200
4	2576	200
5	6235	200
0	8222	200

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize214.0ms (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓	accuracy	99.7%	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (.f64 a a)))
✓	accuracy	99.3%	(/.f64 #s(literal -1 binary64) (*.f64 a a))
✓	accuracy	95.5%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 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 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓	accuracy	99.6%	(/.f64 (PI.f64) (*.f64 b b))
✓	accuracy	94.3%	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
✓	accuracy	99.5%	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
✓	accuracy	95.2%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.2%	(/.f64 (PI.f64) (*.f64 a a))
✓	accuracy	86.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
✓	accuracy	99.4%	(/.f64 (PI.f64) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
✓	accuracy	94.8%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	90.0%	(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))

Results

162.0ms

256×

valid

Compiler

Compiled 241 to 35 computations (85.5% saved)

Precisions

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

ival-div: 23.0ms (48.8% of total)

ival-mult: 18.0ms (38.2% of total)

ival-sub: 2.0ms (4.2% of total)

ival-add: 2.0ms (4.2% of total)

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

const: 1.0ms (2.1% of total)

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

series26.0ms (0.3%)

Counts

19 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
6.0ms	b	@	0	(/ (* 1/2 (/ (PI) (* a a))) b)
1.0ms	a	@	0	(/ (* 1/2 (/ (PI) (* a a))) b)
1.0ms	a	@	-inf	(* (* 1/2 (/ (PI) (* b b))) (- (/ 1 a) (/ 1 b)))
1.0ms	b	@	inf	(/ (* 1/2 (/ (PI) (* a a))) b)
1.0ms	a	@	inf	(* (* 1/2 (/ (PI) (* b b))) (- (/ 1 a) (/ 1 b)))

rewrite314.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5258×	`/-lowering-/.f32`
5258×	`/-lowering-/.f64`
3570×	`-lowering-.f32`
3570×	`-lowering-.f64`
1230×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	141
1	209	139
2	1604	139
0	8932	139

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1506

Calls

Call 1

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

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

simplify379.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4716×	`-lowering-.f32`
4716×	`-lowering-.f64`
3056×	`fma-lowering-fma.f32`
3056×	`fma-lowering-fma.f64`
1684×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	3253
1	636	2944
2	1770	2776
3	5938	2776
0	8364	2776

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

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

eval383.0ms (3.8%)

Compiler: Compiled 39912 to 4757 computations (88.1% saved)

prune523.0ms (5.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	2151	10	2161
Fresh	5	1	6
Picked	4	1	5
Done	0	0	0
Total	2160	12	2172

Accuracy

100.0%

Counts

2172 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.7%	(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) a) a)
	51.8%	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a) (/.f64 a (PI.f64)))
	59.9%	(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) b) b)
▶	58.7%	(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (*.f64 b a))
	62.2%	(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) b)) a)
▶	62.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
✓	54.2%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
	87.4%	(/.f64 (PI.f64) (.f64 b (.f64 #s(literal 2 binary64) (.f64 (+.f64 a (/.f64 (.f64 a a) b)) b))))
▶	94.0%	(/.f64 (PI.f64) (.f64 a (.f64 #s(literal 2 binary64) (*.f64 b (+.f64 a b)))))
	58.7%	(/.f64 (PI.f64) (.f64 a (.f64 #s(literal 2 binary64) (*.f64 a b))))
▶	62.0%	(/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 a (*.f64 b b))))
▶	62.0%	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a))

Compiler

Compiled 289 to 208 computations (28% saved)

simplify92.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1128×	`-lowering-.f32`
1128×	`-lowering-.f64`
882×	`times-frac`
624×	`/-lowering-/.f32`
624×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	138
1	66	138
2	202	138
3	521	137
4	862	137
5	1516	137
6	1939	137
7	2042	137
8	2072	137
9	2110	137
10	2125	137
11	2149	137
12	2187	137
13	2248	137
14	2274	137
15	2333	137
0	2333	137

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize162.0ms (1.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(/.f64 (PI.f64) (*.f64 b b))
✓	accuracy	90.7%	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a))
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (*.f64 b a))
✓	accuracy	99.6%	(/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(/.f64 (PI.f64) (*.f64 b b))
✓	accuracy	90.7%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 a (*.f64 b b)))
✓	accuracy	99.5%	(/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 a (*.f64 b b))))
✓	accuracy	90.2%	(.f64 a (.f64 b b))
✓	accuracy	100.0%	(*.f64 b (+.f64 a b))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 b (+.f64 a b)))
✓	accuracy	99.4%	(/.f64 (PI.f64) (.f64 a (.f64 #s(literal 2 binary64) (*.f64 b (+.f64 a b)))))
✓	accuracy	94.4%	(.f64 a (.f64 #s(literal 2 binary64) (*.f64 b (+.f64 a b))))

Results

124.0ms

256×

valid

Compiler

Compiled 156 to 25 computations (84% saved)

Precisions

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

ival-div: 20.0ms (49% of total)

ival-mult: 17.0ms (41.6% of total)

ival-add: 2.0ms (4.9% of total)

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

const: 1.0ms (2.4% of total)

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

series24.0ms (0.2%)

Counts

16 → 312

Calls

Call 1

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

Calls

78 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	(* 2 (* b (+ a b)))
2.0ms	b	@	inf	(/ (PI) (* 2 (* a (* b b))))
1.0ms	a	@	0	(/ (PI) (* 2 (* a (* b b))))
1.0ms	b	@	0	(/ (PI) (* 2 (* a (* b b))))
0.0ms	a	@	inf	(/ (PI) (* 2 (* a (* b b))))

rewrite323.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5604×	`-lowering-.f32`
5604×	`-lowering-.f64`
3304×	`/-lowering-/.f32`
3304×	`/-lowering-/.f64`
1090×	`frac-times`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	97
1	135	97
2	1020	97
3	7462	96
0	8114	96

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1291

Calls

Call 1

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

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

simplify263.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4318×	`-lowering-.f32`
4318×	`-lowering-.f64`
1628×	`+-lowering-+.f64`
1628×	`+-lowering-+.f32`
1616×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	2428
1	563	2210
2	1664	2196
3	4491	2172
4	7510	2172
0	8102	2172

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

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

eval300.0ms (3%)

Compiler: Compiled 26568 to 2935 computations (89% saved)

prune239.0ms (2.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	2043	7	2050
Fresh	6	0	6
Picked	3	2	5
Done	0	1	1
Total	2052	10	2062

Accuracy

100.0%

Counts

2062 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.7%	(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b))
✓	58.7%	(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (*.f64 b a))
▶	94.9%	(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 b (.f64 a (+.f64 a b))))
	58.7%	(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (.f64 a b)))
▶	67.7%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b)
▶	58.7%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a)
✓	54.2%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
▶	67.5%	(/.f64 (PI.f64) (.f64 (/.f64 b #s(literal 1/2 binary64)) (.f64 a b)))
✓	62.0%	(/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 a (*.f64 b b))))
▶	67.7%	(.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (.f64 a b)))

Compiler

Compiled 191 to 138 computations (27.7% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	135
1	58	134
2	164	130
3	335	130
4	480	130
5	581	130
6	593	130
0	593	130

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize145.0ms (1.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b)
✓	accuracy	99.7%	(/.f64 (PI.f64) b)
✓	accuracy	99.6%	(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a)
✓	accuracy	99.7%	(/.f64 (PI.f64) b)
✓	accuracy	99.6%	(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a))
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(.f64 (/.f64 b #s(literal 1/2 binary64)) (.f64 a b))
✓	accuracy	99.5%	(/.f64 (PI.f64) (.f64 (/.f64 b #s(literal 1/2 binary64)) (.f64 a b)))
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (.f64 a b)))
✓	accuracy	98.3%	(/.f64 (PI.f64) (*.f64 a b))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(*.f64 a (+.f64 a b))
✓	accuracy	99.4%	(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 b (.f64 a (+.f64 a b))))
✓	accuracy	95.4%	(.f64 b (.f64 a (+.f64 a b)))

Results

95.0ms

256×

valid

Compiler

Compiled 138 to 23 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 19.0ms (58.3% of total)

ival-mult: 10.0ms (30.7% of total)

ival-pi: 1.0ms (3.1% of total)

ival-add: 1.0ms (3.1% of total)

const: 1.0ms (3.1% of total)

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

series13.0ms (0.1%)

Counts

16 → 300

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
4.0ms	b	@	-inf	(/ b 1/2)
0.0ms	a	@	-inf	(* a (+ a b))
0.0ms	b	@	0	(/ 1/2 b)
0.0ms	b	@	-inf	(/ (PI) b)
0.0ms	a	@	0	(/ (PI) (* a b))

rewrite296.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

4110×	`-lowering-.f32`
4110×	`-lowering-.f64`
3010×	`/-lowering-/.f32`
3010×	`/-lowering-/.f64`
896×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	94
1	138	93
2	1101	89
3	6268	89
0	8505	89

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1284

Calls

Call 1

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

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

simplify270.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3334×	`-lowering-.f32`
3334×	`-lowering-.f64`
2138×	`fma-lowering-fma.f32`
2138×	`fma-lowering-fma.f64`
1584×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	171	2258
1	482	2091
2	1406	2077
3	3795	2055
4	6478	2051
0	8331	2051

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (.f64 b b))) (pow.f64 a #s(literal 4 binary64))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -1/2 binary64)) a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (+.f64 (.f64 (.f64 (PI.f64) (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))))) (.f64 b b)) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (/.f64 a b))) b)) (.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (+.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 a (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b) #s(literal 1/2 binary64))))) (.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (/.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 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (.f64 a (.f64 (PI.f64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b) #s(literal 1/2 binary64)))) (.f64 b b))) (.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (+.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 (/.f64 (.f64 a #s(literal -1/2 binary64)) b) #s(literal 1/2 binary64)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (+.f64 (.f64 (.f64 a a) (.f64 (PI.f64) (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64)))))) (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b) #s(literal 1/2 binary64)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (/.f64 b a))) a)) (.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (+.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 b (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -1/2 binary64)) a))))) (.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 #s(literal -1 binary64) (/.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 (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 #s(literal -1/2 binary64)) a)))) (.f64 a a))) (.f64 a a))
(* (pow a 2) b)
(.f64 (.f64 a a) b)
(* b (+ (* a b) (pow a 2)))
(.f64 b (.f64 a (+.f64 a b)))
(* b (+ (* a b) (pow a 2)))
(.f64 b (.f64 a (+.f64 a b)))
(* b (+ (* a b) (pow a 2)))
(.f64 b (.f64 a (+.f64 a b)))
(* a (pow b 2))
(.f64 a (.f64 b b))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(.f64 b (.f64 a (+.f64 a b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(.f64 b (.f64 a (+.f64 a b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(.f64 b (.f64 a (+.f64 a b)))
(* a (pow b 2))
(.f64 a (.f64 b b))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(.f64 b (.f64 a (+.f64 a b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(.f64 b (.f64 a (+.f64 a b)))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(.f64 b (.f64 a (+.f64 a b)))
(* a (pow b 2))
(.f64 a (.f64 b b))
(* a (+ (* a b) (pow b 2)))
(.f64 b (.f64 a (+.f64 a b)))
(* a (+ (* a b) (pow b 2)))
(.f64 b (.f64 a (+.f64 a b)))
(* a (+ (* a b) (pow b 2)))
(.f64 b (.f64 a (+.f64 a b)))
(* (pow a 2) b)
(.f64 (.f64 a a) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 b (.f64 a (+.f64 a b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 b (.f64 a (+.f64 a b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 b (.f64 a (+.f64 a b)))
(* (pow a 2) b)
(.f64 (.f64 a a) b)
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 b (.f64 a (+.f64 a b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 b (.f64 a (+.f64 a b)))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(.f64 b (.f64 a (+.f64 a b)))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b))) a)
(/ 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)
(/ (PI) (* a b))
(/.f64 (/.f64 (PI.f64) b) a)
(/ (PI) (* a b))
(/.f64 (/.f64 (PI.f64) b) a)
(/ (PI) (* a b))
(/.f64 (/.f64 (PI.f64) b) a)
(/ (PI) (* a b))
(/.f64 (/.f64 (PI.f64) b) a)
(/ (PI) (* a b))
(/.f64 (/.f64 (PI.f64) b) a)
(/ (PI) (* a b))
(/.f64 (/.f64 (PI.f64) b) a)
(/ (PI) (* a b))
(/.f64 (/.f64 (PI.f64) b) a)
(/ (PI) (* a b))
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eval262.0ms (2.6%)

Compiler: Compiled 24730 to 2687 computations (89.1% saved)

prune235.0ms (2.4%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	2010	2	2012
Fresh	1	1	2
Picked	0	5	5
Done	1	2	3
Total	2012	10	2022

Accuracy

100.0%

Counts

2022 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.7%	(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (PI.f64))) a)
	67.7%	(/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (*.f64 a b))
✓	58.7%	(/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (*.f64 b a))
✓	94.9%	(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 b (.f64 a (+.f64 a b))))
✓	67.7%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b)
✓	58.7%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a)
✓	54.2%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a))) b)
✓	67.5%	(/.f64 (PI.f64) (.f64 (/.f64 b #s(literal 1/2 binary64)) (.f64 a b)))
	67.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) (*.f64 b a))))
✓	67.7%	(.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (.f64 a b)))

Compiler

Compiled 506 to 191 computations (62.3% saved)

regimes33.0ms (0.3%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
11.0ms	a
9.0ms	b

Results

Accuracy	Segments	Branch
99.5%	2	`a`
99.7%	2	`b`
94.9%	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 19 computations (34.5% saved)

regimes12.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	a
5.0ms	b

Results

Accuracy	Segments	Branch
91.8%	2	`a`
90.8%	2	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
91.7%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
91.7%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
91.7%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
91.7%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -3.7b remaining (-17.9%)

Threshold costs -3.7b (-17.9%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
67.7%	1	`b`
67.7%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.106122541327474e+136	1.7094639974092215e+137

Results

10.0ms

80×

valid

Compiler

Compiled 158 to 114 computations (27.8% saved)

Precisions

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

ival-div: 2.0ms (35.9% of total)

ival-mult: 2.0ms (35.9% of total)

ival-sub: 1.0ms (17.9% of total)

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

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-5.793341087308573e-47	-1.6602711548562038e-47

Results

8.0ms

80×

valid

Compiler

Compiled 148 to 109 computations (26.4% saved)

Precisions

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

ival-div: 2.0ms (35.6% of total)

ival-mult: 2.0ms (35.6% of total)

ival-sub: 1.0ms (17.8% of total)

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

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-5.793341087308573e-47	-1.6602711548562038e-47

Results

13.0ms

80×

valid

Compiler

Compiled 148 to 109 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (62.7% of total)

ival-div: 2.0ms (20.9% of total)

ival-sub: 1.0ms (10.4% of total)

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

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-5.793341087308573e-47	-1.6602711548562038e-47

Results

9.0ms

80×

valid

Compiler

Compiled 148 to 109 computations (26.4% saved)

Precisions

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

ival-div: 2.0ms (35.7% of total)

ival-mult: 2.0ms (35.7% of total)

ival-sub: 1.0ms (17.8% of total)

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

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-5.793341087308573e-47	-1.6602711548562038e-47

Results

9.0ms

80×

valid

Compiler

Compiled 148 to 109 computations (26.4% saved)

Precisions

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

ival-div: 2.0ms (35.5% of total)

ival-mult: 2.0ms (35.5% of total)

ival-sub: 1.0ms (17.8% of total)

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

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-5.793341087308573e-47	-1.6602711548562038e-47

Results

10.0ms

80×

valid

Compiler

Compiled 148 to 109 computations (26.4% saved)

Precisions

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

ival-div: 3.0ms (44.6% of total)

ival-mult: 2.0ms (29.7% of total)

ival-sub: 1.0ms (14.9% of total)

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

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	143
1	54	143

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal 127999999999999995114200427752312302521502123043428499385011727802252851719123928406552538901068103727193893066308105099687841457107894272 binary64)) (/.f64 (PI.f64) (.f64 a (.f64 #s(literal 2 binary64) (.f64 b (+.f64 a b))))) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b))
(if (<=.f64 a #s(literal -4113761393303015/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (.f64 b a)) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (.f64 a b)))
(if (<=.f64 a #s(literal -5759265950624221/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (.f64 b a)) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b))
(if (<=.f64 a #s(literal -5759265950624221/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b))
(if (<=.f64 a #s(literal -2828210957895823/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b))))
(if (<=.f64 a #s(literal -5759265950624221/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 (PI.f64) (.f64 a (.f64 #s(literal 2 binary64) (.f64 a b)))) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b))))
(.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (.f64 a b)))

Outputs
(if (<=.f64 b #s(literal 127999999999999995114200427752312302521502123043428499385011727802252851719123928406552538901068103727193893066308105099687841457107894272 binary64)) (/.f64 (PI.f64) (.f64 a (.f64 #s(literal 2 binary64) (.f64 b (+.f64 a b))))) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b))
(if (<=.f64 b #s(literal 127999999999999995114200427752312302521502123043428499385011727802252851719123928406552538901068103727193893066308105099687841457107894272 binary64)) (/.f64 (PI.f64) (.f64 a (.f64 #s(literal 2 binary64) (.f64 b (+.f64 b a))))) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b))
(if (<=.f64 a #s(literal -4113761393303015/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (.f64 b a)) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (.f64 a b)))
(if (<=.f64 a #s(literal -4113761393303015/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (.f64 b a)) (/.f64 (/.f64 (PI.f64) (/.f64 b #s(literal 1/2 binary64))) (.f64 b a)))
(if (<=.f64 a #s(literal -5759265950624221/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (/.f64 (PI.f64) (/.f64 a #s(literal 1/2 binary64))) (.f64 b a)) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b))
(if (<=.f64 a #s(literal -5759265950624221/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b))
(if (<=.f64 a #s(literal -2828210957895823/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b))))
(if (<=.f64 a #s(literal -2828210957895823/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 b a))))
(if (<=.f64 a #s(literal -5759265950624221/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 (PI.f64) (.f64 a (.f64 #s(literal 2 binary64) (.f64 a b)))) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 a b))))
(if (<=.f64 a #s(literal -5759265950624221/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 (PI.f64) (.f64 a (.f64 #s(literal 2 binary64) (.f64 b a)))) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (*.f64 b a))))
(.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (.f64 a b)))
(.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (.f64 b a)))

soundness1.7s (17.3%)

Rules

5604×	`-lowering-.f32`
5604×	`-lowering-.f64`
5258×	`/-lowering-/.f32`
5258×	`/-lowering-/.f64`
4716×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	141
1	209	139
2	1604	139
0	8932	139
0	22	70
1	134	70
2	881	70
3	7346	70
0	8325	70
0	222	3253
1	636	2944
2	1770	2776
3	5938	2776
0	8364	2776
0	351	2544
1	1046	2243
2	3210	2108
0	8125	2108
0	24	97
1	135	97
2	1020	97
3	7462	96
0	8114	96

Stop Event

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

Compiler

Compiled 451 to 271 computations (39.9% saved)

preprocess59.0ms (0.6%)

Compiler: Compiled 440 to 186 computations (57.7% saved)

analyze142.0ms (1.4%)

sample1.5s (15.1%)

preprocess223.0ms (2.2%)

explain341.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify242.0ms (2.4%)

localize126.0ms (1.3%)

series17.0ms (0.2%)

rewrite307.0ms (3.1%)

simplify237.0ms (2.4%)

eval131.0ms (1.3%)

prune110.0ms (1.1%)

simplify172.0ms (1.7%)

localize214.0ms (2.1%)

series26.0ms (0.3%)

rewrite314.0ms (3.1%)

simplify379.0ms (3.8%)

eval383.0ms (3.8%)

prune523.0ms (5.2%)

simplify92.0ms (0.9%)

localize162.0ms (1.6%)

series24.0ms (0.2%)

rewrite323.0ms (3.2%)

simplify263.0ms (2.6%)

eval300.0ms (3%)

prune239.0ms (2.4%)

simplify25.0ms (0.2%)

localize145.0ms (1.5%)

series13.0ms (0.1%)

rewrite296.0ms (3%)

simplify270.0ms (2.7%)

eval262.0ms (2.6%)

prune235.0ms (2.4%)

regimes33.0ms (0.3%)

regimes12.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch14.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch14.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch14.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.7s (17.3%)

preprocess59.0ms (0.6%)

end0.0ms (0%)

Profiling