Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze163.0ms (2.3%)

Memory

-10.1MiB live, 136.4MiB allocated; 92ms collecting garbage

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 23 to 17 computations (26.1% saved)

sample1.6s (22.1%)

Memory

26.4MiB live, 1 829.1MiB allocated; 469ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 745.0ms

ival-div: 314.0ms (42.1% of total)

ival-mult: 261.0ms (35% of total)

ival-pi: 77.0ms (10.3% of total)

ival-sub: 73.0ms (9.8% of total)

exact: 9.0ms (1.2% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain228.0ms (3.2%)

Memory

39.1MiB live, 312.7MiB allocated; 36ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
26	-	2	(-3.00596312670831e+155 3.0476203535074006e-80)	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
13	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
4	-	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	-	0	-	`b`
0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	24	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	13	0
↳	`(*.f64 b b)`	overflow	63
↳	`(*.f64 a a)`	overflow	65
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	4	0
↳	`(*.f64 b b)`	overflow	63
↳	`(*.f64 a a)`	overflow	65
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	115

Confusion

	Predicted +	Predicted -
+	40	4
-	1	211

Precision

0.975609756097561

Recall

0.9090909090909091

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	4
-	1	0	211

Precision?

0.975609756097561

Recall?

0.9090909090909091

Freqs

test

number	freq
0	215
1	41

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

100.0ms

512×

valid

Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

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

ival-mult: 12.0ms (31.6% of total)

ival-sub: 6.0ms (15.8% of total)

ival-pi: 2.0ms (5.3% of total)

exact: 1.0ms (2.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess218.0ms (3.1%)

Memory

-31.4MiB live, 128.5MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	109
1	108	95
2	398	95
3	1769	95
4	4648	95
0	15	21
0	26	21
1	50	19
2	143	19
3	572	19
4	2739	19
5	5032	19
0	8161	19

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.6%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify161.0ms (2.3%)

Memory

21.8MiB live, 161.5MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	77
0	26	77
1	50	73
2	143	73
3	572	73
4	2739	73
5	5032	73
0	8161	73

Stop Event

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

Calls

Call 1

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

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

localize38.0ms (0.5%)

Memory

-25.4MiB live, 64.3MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.171875	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	0.501573125761457	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	3.0468564224718526	(-.f64 (.f64 b b) (.f64 a a))
accuracy	5.807239817886208	(.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)))

Samples

26.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 7.0ms (42.7% of total)

ival-mult: 6.0ms (36.6% of total)

ival-sub: 2.0ms (12.2% of total)

ival-pi: 1.0ms (6.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Counts

6 → 52

Calls

Call 1

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

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

Calls

6 calls:

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

simplify170.0ms (2.4%)

Memory

-1.0MiB live, 183.9MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1145
1	905	1099
2	3533	1055
0	8522	1011

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

Calls

Call 1

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

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

rewrite131.0ms (1.9%)

Memory

12.5MiB live, 156.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
0	26	54
1	112	50
2	980	50
0	8912	50

Stop Event

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

Counts

6 → 342

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (-.f64 b a)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (-.f64 b a)) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 a b)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 b a)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (cbrt.f64 (PI.f64)) (-.f64 b a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a)) (/.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 a b)))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 a b))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 a a (.f64 b b)))
(.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 a b)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 a b)))
(.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (PI.f64) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) #s(literal -2 binary64)))
(.f64 (PI.f64) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)) #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 a b)) (-.f64 b a))
(/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (neg.f64 (PI.f64)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (PI.f64) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (PI.f64) #s(literal -2 binary64))))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))))
(neg.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 a a) (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b)))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 b b) (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a)))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 (.f64 a b) #s(literal 2 binary64))))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 b #s(literal 4 binary64)) (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))
(fma.f64 (-.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 (-.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))
(fma.f64 (.f64 a a) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 (*.f64 b b) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))
(fma.f64 (.f64 b b) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 (*.f64 a a) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))
(+.f64 (.f64 (.f64 a a) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (.f64 (.f64 b b) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))
(+.f64 (.f64 (.f64 b b) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (.f64 (.f64 a a) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))
(+.f64 (.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))
(+.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))
(+.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))
(+.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 a a)) (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 b b)))
(+.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 b b)) (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 a a)))
(+.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 b #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 b #s(literal 4 binary64))) (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(+.f64 (/.f64 (cosh.f64 (log.f64 (PI.f64))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) (/.f64 (sinh.f64 (log.f64 (PI.f64))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (/.f64 (-.f64 b a) b) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))) a))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))) b) (/.f64 (-.f64 b a) a))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)))
(.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))) b))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)))
(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))))
(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b))
(.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))))) (/.f64 (+.f64 a b) (*.f64 a b)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))))) (*.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b))) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (neg.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 a b) (*.f64 a b)))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))) (*.f64 (neg.f64 a) b))
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(+.f64 (.f64 (.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) (.f64 (.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) (.f64 (.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 (-.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 a a)) (.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 b b)))
(+.f64 (.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 b b)) (.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 a a)))
(+.f64 (.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
(+.f64 (.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64))))

eval49.0ms (0.7%)

Memory: -21.2MiB live, 69.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 11 517 to 1 606 computations (86.1% saved)

prune14.0ms (0.2%)

Memory

27.5MiB live, 27.5MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	370	15	385
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	371	15	386

Accuracy

100.0%

Counts

386 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
▶	90.3%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	84.7%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 a b) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
	85.1%	(/.f64 (.f64 (PI.f64) (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)))) #s(literal 2 binary64))
	86.0%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
	90.3%	(.f64 (/.f64 (PI.f64) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	52.6%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (/ 1 (- (* b b) (* a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	56.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) b)) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b))
	62.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) b) a)) (.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a))
	49.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) a))
▶	53.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b))
	57.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64)))
▶	60.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64)))
	49.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
▶	52.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))

Compiler

Compiled 862 to 588 computations (31.8% saved)

simplify169.0ms (2.4%)

Memory

-21.8MiB live, 164.2MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 b a) a)
cost-diff	0	(/.f64 (/.f64 (-.f64 b a) a) b)
cost-diff	0	(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))
cost-diff	8	(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64)))
cost-diff	0	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)
cost-diff	0	(/.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (*.f64 a a))
cost-diff	0	(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
cost-diff	0	(/.f64 (PI.f64) (*.f64 a a))
cost-diff	0	(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
cost-diff	0	(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
cost-diff	0	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
cost-diff	8	(.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	361
0	78	361
1	169	355
2	558	331
3	2687	307
4	6082	307
0	8362	307

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (2.4%)

Memory

20.7MiB live, 166.5MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (-.f64 b a) a)
accuracy	0.35546875	(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))
accuracy	6.168344872867692	(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
accuracy	8.486212559856332	(/.f64 (/.f64 (-.f64 b a) a) b)
accuracy	0.24285126953688402	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64)))
accuracy	0.27734375	(/.f64 (PI.f64) a)
accuracy	5.2869163036716325	(/.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)
accuracy	26.31111051799516	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b))
accuracy	0.01171875	(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy	0.5269924646577465	(/.f64 (PI.f64) (*.f64 a a))
accuracy	3.6833281803618183	(.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
accuracy	26.31111051799516	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
accuracy	0.00390625	(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64))
accuracy	0.5269924646577465	(/.f64 (PI.f64) (*.f64 a a))
accuracy	6.9661524685628	(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
accuracy	20.998435815443667	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64)))
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (.f64 a b))
accuracy	0.19140625	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
accuracy	0.5191799646577465	(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy	28.326275762305084	(.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))

Samples

141.0ms

256×

valid

Compiler

Compiled 323 to 46 computations (85.8% saved)

Precisions

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

ival-div: 75.0ms (71.5% of total)

ival-mult: 21.0ms (20% of total)

ival-sub: 4.0ms (3.8% of total)

ival-add: 2.0ms (1.9% of total)

ival-pi: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.7%)

Memory

-20.0MiB live, 78.6MiB allocated; 17ms collecting garbage

Counts

21 → 98

Calls

Call 1

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

Outputs
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(* 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)
(/ (PI) (pow b 2))
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ (PI) (pow a 2))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 (/ (* b (PI)) (pow a 3)))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 3))
(* -1/2 (/ (* b (PI)) (pow a 2)))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 2))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(* 2 (* a b))
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/ (+ (* -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 (/ (PI) (pow a 2)))
(/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))
(* 1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(* -1 (/ (PI) b))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
-1
(- (/ b a) 1)
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/ (+ (* -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 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(/ (+ (* -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 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2))))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(/ (+ (* -1 (PI)) (/ (* b (PI)) a)) b)
(/ (- (/ b a) 1) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (+ (* -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))
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))))
(* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (PI) (* a b)))))
(* b (- (/ 1 a) (/ 1 b)))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(* -1 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3))))))
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 2))))))
(* -1 (* b (- (/ 1 b) (/ 1 a))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	b	@	inf	((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (/ (- b a) a) b) (/ (- b a) a) (* 2 (* a b)) (+ (/ 1/2 b) (/ -1/2 a)) (/ (PI) a))
10.0ms	a	@	inf	((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (/ (- b a) a) b) (/ (- b a) a) (* 2 (* a b)) (+ (/ 1/2 b) (/ -1/2 a)) (/ (PI) a))
7.0ms	a	@	0	((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (/ (- b a) a) b) (/ (- b a) a) (* 2 (* a b)) (+ (/ 1/2 b) (/ -1/2 a)) (/ (PI) a))
6.0ms	b	@	-inf	((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (/ (- b a) a) b) (/ (- b a) a) (* 2 (* a b)) (+ (/ 1/2 b) (/ -1/2 a)) (/ (PI) a))
6.0ms	a	@	-inf	((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (/ (- b a) a) b) (/ (- b a) a) (* 2 (* a b)) (+ (/ 1/2 b) (/ -1/2 a)) (/ (PI) a))

simplify186.0ms (2.6%)

Memory

48.5MiB live, 229.5MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	451	1926
1	1538	1583
2	6962	1565
0	8506	1498

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 98

Calls

Call 1

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

Outputs
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a) (/.f64 (/.f64 (PI.f64) b) b)) a (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (/.f64 (PI.f64) b) b)) a (/.f64 (PI.f64) b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a))) a)) 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a)) a)
(/ (PI) (pow b 2))
(/.f64 (/.f64 (PI.f64) b) b)
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))
(fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) b) b))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(fma.f64 (-.f64 (.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64))))) (.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (/.f64 (PI.f64) b) b))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (PI.f64) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (PI.f64) (.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (.f64 b b))) a) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64))))) a (.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (/.f64 (PI.f64) b) b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (PI) (* (pow a 2) b))
(/.f64 (PI.f64) (.f64 (.f64 a a) b))
(/ (PI) (pow a 2))
(/.f64 (PI.f64) (*.f64 a a))
(* -1/2 (/ (PI) (pow a 3)))
(*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64))) (pow.f64 a #s(literal 3 binary64)))
(* -1/2 (/ (* b (PI)) (pow a 3)))
(.f64 (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) b) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 3))
(/.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) a (.f64 #s(literal -1/2 binary64) b))) (pow.f64 a #s(literal 3 binary64)))
(* -1/2 (/ (* b (PI)) (pow a 2)))
(.f64 (.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 2))
(/.f64 (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) a (.f64 #s(literal -1/2 binary64) b))) (*.f64 a a))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ b a)
(/.f64 b a)
(/ (+ b (* -1 a)) a)
(/.f64 (-.f64 b a) a)
(* 2 (* a b))
(.f64 (.f64 b a) #s(literal 2 binary64))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (PI.f64) a) (PI.f64)) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) b (.f64 b (.f64 (/.f64 (PI.f64) a) b))) a) (PI.f64)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/.f64 (-.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (/.f64 (fma.f64 (PI.f64) b (/.f64 (.f64 (.f64 (neg.f64 b) b) (PI.f64)) a)) a))) a)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) (/.f64 (PI.f64) a) (PI.f64))) a)) 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (PI.f64) (.f64 a a)) (.f64 b b) (PI.f64)) a) (.f64 (fma.f64 (/.f64 (PI.f64) (.f64 a a)) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) a) a)
(* -1 (/ (PI) (pow a 2)))
(/.f64 (/.f64 (neg.f64 (PI.f64)) a) a)
(/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) a) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) a)) a) (PI.f64))) (.f64 a a))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 0 binary64) a) a) (PI.f64) (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) a))) a)) (.f64 a a))
(* 1/2 (/ (PI) (pow a 2)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a)
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)
(* -1 (/ (PI) b))
(/.f64 (neg.f64 (PI.f64)) b)
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(fma.f64 #s(literal -1 binary64) (/.f64 (PI.f64) b) (/.f64 (PI.f64) 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
#s(literal -1 binary64)
(- (/ b a) 1)
(-.f64 (/.f64 b a) #s(literal 1 binary64))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) (neg.f64 a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) b (.f64 b (*.f64 (/.f64 (PI.f64) a) b))) a) (PI.f64))) a)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (/.f64 (fma.f64 (.f64 (neg.f64 b) b) (PI.f64) (/.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) (PI.f64)) a)) (neg.f64 a))) a)) (neg.f64 a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) (neg.f64 a))) 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) b (.f64 b (*.f64 (/.f64 (PI.f64) a) b)))) (neg.f64 a))) (neg.f64 a))) a) a)
(/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) a) a)
(/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) a)) a) (PI.f64))) (.f64 a a))
(/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a)) (.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64)))) (neg.f64 a))) a)) (*.f64 a a))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) (/.f64 (PI.f64) a) (PI.f64))) (neg.f64 a))
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (PI.f64) a) (PI.f64)) a)
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 (-.f64 (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) b) (/.f64 (PI.f64) (.f64 a a))) b (/.f64 (PI.f64) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 (-.f64 (.f64 (fma.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b) (/.f64 (PI.f64) (.f64 a a))) b (/.f64 (PI.f64) a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b))) b (.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b)
(+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(neg.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 a a))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(fma.f64 (-.f64 (.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (PI.f64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) (.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (/.f64 (/.f64 (neg.f64 (PI.f64)) a) a))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(fma.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (PI.f64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 0 binary64) a) a) (.f64 (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (PI.f64)))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (PI.f64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))))) b (/.f64 (/.f64 (neg.f64 (PI.f64)) a) a))
(+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2))))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a)
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)
(/ (+ (* -1 (PI)) (/ (* b (PI)) a)) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) b)
(/ (- (/ b a) 1) b)
(/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) b)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (.f64 a (.f64 (/.f64 (PI.f64) b) a))) b) (PI.f64)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/.f64 (-.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (/.f64 (fma.f64 (PI.f64) a (/.f64 (.f64 (.f64 (neg.f64 a) a) (PI.f64)) b)) b))) b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64))) b)) 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 a a) (/.f64 (/.f64 (PI.f64) b) b) (PI.f64)) b) (.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) b) b) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (*.f64 b b))
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))
(/.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b) (PI.f64)) b) b)
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) (neg.f64 b))) b)) (.f64 b b))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 0 binary64) b) b) (PI.f64) (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) (neg.f64 b)))) b)) (.f64 b b))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a))
(* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)) b)
(* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (PI) (* a b)))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) a) b)
(* b (- (/ 1 a) (/ 1 b)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b)
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (.f64 a (*.f64 (/.f64 (PI.f64) b) a))) b) (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (/.f64 (fma.f64 (.f64 (neg.f64 a) a) (PI.f64) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b)) (neg.f64 b))) b)) (neg.f64 b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) (neg.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 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) a (.f64 a (.f64 (/.f64 (PI.f64) b) a)))) (neg.f64 b))) (neg.f64 b))) (.f64 b b))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) (neg.f64 b))) b)) (.f64 b b))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) b) (PI.f64) (.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)))) (neg.f64 b))) b)) (.f64 b b))
(* -1 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3))))))
(.f64 (neg.f64 b) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a)))
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 2))))))
(.f64 (neg.f64 b) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) a))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))

rewrite199.0ms (2.8%)

Memory

-8.7MiB live, 277.9MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	273
0	78	273
1	302	267
2	2659	267
0	8523	267

Stop Event

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

Counts

21 → 524

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 b a) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a a)))
(.f64 (/.f64 (.f64 (-.f64 b a) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 a a) (fma.f64 b b (.f64 a a)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (-.f64 b a) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (-.f64 b a))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)))
(.f64 (PI.f64) (/.f64 (-.f64 b a) (.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (-.f64 b a)) (+.f64 b a))
(/.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (+.f64 b a)) (-.f64 b a))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a))) (fma.f64 b b (.f64 a (+.f64 b a))))
(/.f64 (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a))) (+.f64 b a))
(/.f64 (.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (.f64 a (+.f64 b a))))
(/.f64 (.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a))
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (-.f64 b a))
(/.f64 (.f64 (-.f64 b a) (neg.f64 (PI.f64))) (.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)))
(/.f64 (neg.f64 (.f64 (-.f64 b a) (PI.f64))) (.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (-.f64 b a))
(/.f64 (.f64 (neg.f64 (PI.f64)) (-.f64 b a)) (.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)))
(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (.f64 (-.f64 b a) (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 (.f64 (neg.f64 (PI.f64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (.f64 (.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)) (fma.f64 b b (.f64 a (+.f64 b a)))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)) (+.f64 b a)))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal 1/2 binary64) a))) (neg.f64 (.f64 b a)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 b) (.f64 a #s(literal -1/2 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 b) (.f64 (neg.f64 a) #s(literal -1/2 binary64))) (.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (neg.f64 a) #s(literal 1/2 binary64))) (.f64 (neg.f64 a) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 (neg.f64 b) #s(literal -1/2 binary64))) (.f64 (neg.f64 b) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 a) (.f64 (neg.f64 b) #s(literal 1/2 binary64))) (.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 a) (.f64 b #s(literal 1/2 binary64))) (.f64 b (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 b a)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal 1/2 binary64) a)) (.f64 b a))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 b a)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 b a)))
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 a))
(/.f64 (PI.f64) a)
(neg.f64 (/.f64 (neg.f64 (PI.f64)) a))
(neg.f64 (/.f64 (PI.f64) (neg.f64 a)))
(sqrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 a a)))

eval101.0ms (1.4%)

Memory: -10.6MiB live, 210.9MiB allocated; 32ms collecting garbage
Compiler: Compiled 26 690 to 3 204 computations (88% saved)

prune37.0ms (0.5%)

Memory

-12.6MiB live, 100.5MiB allocated; 13ms collecting garbage

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	768	18	786
Fresh	6	4	10
Picked	4	1	5
Done	0	0	0
Total	778	23	801

Accuracy

100.0%

Counts

801 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.3%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	84.7%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 (*.f64 b a) #s(literal 2 binary64))))
	85.1%	(/.f64 (.f64 (PI.f64) (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)))) #s(literal 2 binary64))
	67.5%	(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (neg.f64 (PI.f64)) b)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
	63.3%	(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
▶	60.8%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	86.0%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))))
▶	90.3%	(.f64 (/.f64 (PI.f64) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	56.5%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64))) b)) b) b))
	49.4%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b b)))
	61.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b))
▶	62.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (.f64 (.f64 b a) a)))
▶	53.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (.f64 (.f64 b a) (*.f64 a a))))
	67.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
	67.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (.f64 b a)))
	60.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (.f64 a a)))
	60.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b a)))
	56.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (.f64 (.f64 a a) b)))
▶	60.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a a) b)))
	57.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64)))
	49.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
	60.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
	58.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a)))

Compiler

Compiled 1 355 to 926 computations (31.7% saved)

simplify135.0ms (1.9%)

Memory

20.0MiB live, 162.1MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	356
0	83	356
1	177	332
2	568	316
3	2444	316
0	8393	316

Stop Event

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

Calls

Call 1

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

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

localize192.0ms (2.7%)

Memory

-44.6MiB live, 193.6MiB allocated; 80ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a))
accuracy	0.27734375	(/.f64 (PI.f64) a)
accuracy	3.72067110516578	(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (.f64 (.f64 b a) a))
accuracy	26.31111051799516	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (.f64 (.f64 b a) a)))
accuracy	0.265625	(.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal 1/2 binary64) a)) (PI.f64))
accuracy	1.7262755502997456	(.f64 (.f64 b a) (*.f64 a a))
accuracy	9.183967266545713	(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (.f64 (.f64 b a) (*.f64 a a)))
accuracy	26.31111051799516	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (.f64 (.f64 b a) (*.f64 a a))))
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (.f64 a b))
accuracy	0.19140625	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
accuracy	0.25390625	(/.f64 (PI.f64) b)
accuracy	33.576222305556314	#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b))
accuracy	0.0	(PI.f64)
accuracy	0.3447450877598575	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a a) b))
accuracy	7.203423139171684	(.f64 (.f64 a a) b)
accuracy	20.998435815443667	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a a) b)))
accuracy	0.0	(PI.f64)
accuracy	0.01171875	(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
accuracy	0.503660304687436	(/.f64 (PI.f64) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
accuracy	5.807239817886208	(.f64 (/.f64 (PI.f64) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Samples

121.0ms

256×

valid

Compiler

Compiled 312 to 46 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 75.0ms (74.9% of total)

ival-div: 17.0ms (17% of total)

ival-add: 3.0ms (3% of total)

ival-sub: 3.0ms (3% of total)

ival-pi: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.6%)

Memory

-16.9MiB live, 73.1MiB allocated; 12ms collecting garbage

Counts

22 → 118

Calls

Call 1

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

Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(* 2 (pow b 2))
(+ (* 2 (* a (+ b (* -1 b)))) (* 2 (pow b 2)))
(+ (* 2 (pow b 2)) (* a (+ (* -2 a) (* 2 (+ b (* -1 b))))))
(/ (+ (* -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)))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(* (pow a 3) b)
(* -1/2 b)
(+ (* -1/2 b) (* 1/2 a))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 (/ (* b (PI)) a))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(* (pow a 2) b)
(* 2 (* a b))
(* -1/2 (* b (PI)))
(+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI))))
(/ (PI) a)
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(* -2 (pow a 2))
(* (pow a 2) (- (* 2 (/ (+ b (* -1 b)) a)) 2))
(* (pow a 2) (- (+ (* 2 (/ (+ b (* -1 b)) a)) (* 2 (/ (pow b 2) (pow a 2)))) 2))
(/ (+ (* -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))
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(* 1/2 a)
(* a (+ 1/2 (* -1/2 (/ b a))))
(* 1/2 (PI))
(+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(* 1/2 (* a (PI)))
(* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))
(* (pow a 2) (- (* -2 (/ (+ b (* -1 b)) a)) 2))
(* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (* 2 (+ b (* -1 b)))) 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 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(* -1 (* a (- (* 1/2 (/ b a)) 1/2)))
(* -1 (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))
(+ (* -2 (pow a 2)) (* 2 (* b (+ a (* -1 a)))))
(+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a))))))
(/ (+ (* -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 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(/ (- (/ b a) 1) b)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))
(* (pow b 2) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))
(* (pow b 2) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))
(/ (+ (* -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))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(* b (- (* 1/2 (/ a b)) 1/2))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))))
(* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(* (pow b 2) (+ 2 (* -1 (/ (+ (* -2 (+ a (* -1 a))) (* 2 (/ (pow a 2) b))) b))))
(/ (+ (* -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 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))
(* -1 (* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
(* -1 (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	((* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* (* 2 (+ a b)) (- b a))) (PI) (* (* 2 (+ a b)) (- b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (* b a) (* a a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (* a a))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* b a) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (- (/ 1 a) (/ 1 b)) (* (* a a) b) (* 2 (* a b)) (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (/ (PI) a))
7.0ms	b	@	-inf	((* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* (* 2 (+ a b)) (- b a))) (PI) (* (* 2 (+ a b)) (- b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (* b a) (* a a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (* a a))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* b a) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (- (/ 1 a) (/ 1 b)) (* (* a a) b) (* 2 (* a b)) (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (/ (PI) a))
5.0ms	b	@	inf	((* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* (* 2 (+ a b)) (- b a))) (PI) (* (* 2 (+ a b)) (- b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (* b a) (* a a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (* a a))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* b a) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (- (/ 1 a) (/ 1 b)) (* (* a a) b) (* 2 (* a b)) (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (/ (PI) a))
5.0ms	b	@	0	((* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* (* 2 (+ a b)) (- b a))) (PI) (* (* 2 (+ a b)) (- b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (* b a) (* a a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (* a a))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* b a) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (- (/ 1 a) (/ 1 b)) (* (* a a) b) (* 2 (* a b)) (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (/ (PI) a))
5.0ms	a	@	inf	((* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* (* 2 (+ a b)) (- b a))) (PI) (* (* 2 (+ a b)) (- b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (* b a) (* a a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (* (* b a) (* a a))) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* b a) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (- (/ 1 a) (/ 1 b)) (* (* a a) b) (* 2 (* a b)) (* (+ (* -1/2 b) (* 1/2 a)) (PI)) (/ (PI) a))

simplify149.0ms (2.1%)

Memory

11.3MiB live, 245.2MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	657	3172
1	2475	2653
0	9045	2522

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 118

Calls

Call 1

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

Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) a) (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))))) a)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64)))))) (.f64 b b))) a (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))))) a (.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) #s(literal 1/2 binary64))) a)) a)
(* 1/2 (/ (PI) (pow b 2)))
(.f64 (/.f64 (PI.f64) (.f64 b b)) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) a) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (.f64 b b))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a))) a (.f64 (/.f64 (PI.f64) (.f64 b b)) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (.f64 b b)) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) a (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) a (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) a (.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)))
(* 2 (pow b 2))
(.f64 (.f64 b b) #s(literal 2 binary64))
(+ (* 2 (* a (+ b (* -1 b)))) (* 2 (pow b 2)))
(*.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 0 binary64)) b)
(+ (* 2 (pow b 2)) (* a (+ (* -2 a) (* 2 (+ b (* -1 b))))))
(fma.f64 (fma.f64 #s(literal -2 binary64) a #s(literal 0 binary64)) a (.f64 (.f64 b b) #s(literal 2 binary64)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))) a (.f64 (/.f64 (PI.f64) (.f64 b 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a)) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(fma.f64 (neg.f64 a) (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (.f64 b b))) a (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (.f64 b b))) a (/.f64 (PI.f64) b))
(* (pow a 3) b)
(*.f64 (pow.f64 a #s(literal 3 binary64)) b)
(* -1/2 b)
(*.f64 #s(literal -1/2 binary64) b)
(+ (* -1/2 b) (* 1/2 a))
(*.f64 #s(literal -1/2 binary64) (-.f64 b a))
(* -1/2 (/ (PI) (pow a 3)))
(*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64))) (pow.f64 a #s(literal 3 binary64)))
(* -1/2 (/ (* b (PI)) a))
(.f64 (/.f64 (.f64 (PI.f64) b) a) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a)
(/.f64 (.f64 (PI.f64) (.f64 #s(literal -1/2 binary64) (-.f64 b a))) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(* (pow a 2) b)
(.f64 (.f64 a a) b)
(* 2 (* a b))
(.f64 (.f64 b a) #s(literal 2 binary64))
(* -1/2 (* b (PI)))
(.f64 (.f64 (PI.f64) b) #s(literal -1/2 binary64))
(+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI))))
(.f64 (PI.f64) (.f64 #s(literal -1/2 binary64) (-.f64 b a)))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (fma.f64 #s(literal -1 binary64) (PI.f64) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) a)) a))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) (.f64 (neg.f64 (PI.f64)) b)) a) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (PI.f64) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) a) (/.f64 (PI.f64) b)))) (*.f64 a a))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (fma.f64 (PI.f64) b (.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))))) a) (/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (PI.f64) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b)))) (.f64 b b) (fma.f64 #s(literal 0 binary64) (.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b)))) (.f64 #s(literal 0 binary64) (PI.f64)))) (pow.f64 a #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (PI.f64) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) a) (/.f64 (PI.f64) b)))) (.f64 a a))
(* -1/2 (/ (PI) (pow a 2)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) a) (PI.f64))) (.f64 a a))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) a) (/.f64 (.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) (.f64 a a))) (PI.f64))) (.f64 a a))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal 0 binary64) (fma.f64 (.f64 b b) (PI.f64) (.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))))) (pow.f64 a #s(literal 3 binary64))) (/.f64 (.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) (.f64 a a))) (.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) a) (PI.f64)))) (*.f64 a a))
(* -2 (pow a 2))
(.f64 (.f64 a a) #s(literal -2 binary64))
(* (pow a 2) (- (* 2 (/ (+ b (* -1 b)) a)) 2))
(.f64 (-.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (.f64 a a))
(* (pow a 2) (- (+ (* 2 (/ (+ b (* -1 b)) a)) (* 2 (/ (pow b 2) (pow a 2)))) 2))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (.f64 b b) a) (/.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (.f64 a a)) (/.f64 (PI.f64) b)))) (*.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 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (.f64 (.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a))
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (PI.f64) a) (PI.f64)) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/.f64 (-.f64 (fma.f64 (.f64 b b) (/.f64 (PI.f64) (.f64 a a)) (PI.f64)) (/.f64 (*.f64 (PI.f64) b) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (PI.f64)) (fma.f64 (.f64 (neg.f64 b) b) (/.f64 (PI.f64) (.f64 a a)) (/.f64 (*.f64 (PI.f64) b) a))) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (* -1/2 (/ b a))))
(*.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) a)
(* 1/2 (PI))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))
(.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 (PI.f64) b) a) (PI.f64)))
(/ -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))
(* 1/2 (* a (PI)))
(.f64 (.f64 #s(literal 1/2 binary64) a) (PI.f64))
(* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))
(.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64))) a)
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b))) a) (/.f64 (PI.f64) b))) (*.f64 a a))
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(/.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (PI.f64)) (fma.f64 a (/.f64 (PI.f64) b) (/.f64 (.f64 (neg.f64 (PI.f64)) (.f64 a a)) (*.f64 b b)))) b)
(* b (- (* 1/2 (/ a b)) 1/2))
(.f64 (-.f64 (.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) b)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) (.f64 (*.f64 a a) b))))
(* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))))
(.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) b)
(* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))
(.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64))) b)
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (/.f64 (fma.f64 (.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (.f64 (PI.f64) a)) b))) (neg.f64 b))) (.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (.f64 (neg.f64 a) a) (.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (.f64 (fma.f64 (.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (.f64 (PI.f64) a)) #s(literal 0 binary64))) b) (fma.f64 (.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (.f64 (PI.f64) a)))) (neg.f64 b))) (neg.f64 b))) (.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) b) (.f64 #s(literal 0 binary64) (PI.f64)))) (neg.f64 b))) (.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)) (.f64 (.f64 a a) (PI.f64)))) b) (.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* (pow b 2) (+ 2 (* -1 (/ (+ (* -2 (+ a (* -1 a))) (* 2 (/ (pow a 2) b))) b))))
(.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal 2 binary64) #s(literal 0 binary64)) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 a (/.f64 (PI.f64) b)) (PI.f64))) (neg.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 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 a a) (/.f64 (PI.f64) b) (.f64 (neg.f64 (PI.f64)) a))) (neg.f64 b))) (neg.f64 b))) (.f64 b b))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(/.f64 (fma.f64 a (/.f64 (PI.f64) b) (neg.f64 (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (.f64 a a) (/.f64 (PI.f64) b) (.f64 (neg.f64 (PI.f64)) a)) b)) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) b) (.f64 (neg.f64 (PI.f64)) (.f64 a a))) (neg.f64 b)) (*.f64 (PI.f64) a)) b)) (neg.f64 b))
(* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
(.f64 (neg.f64 b) (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))
(* -1 (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))))
(.f64 (neg.f64 b) (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) b)) (PI.f64))))

rewrite241.0ms (3.4%)

Memory

12.4MiB live, 344.1MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	285
0	83	285
1	289	262
2	2294	262
0	8498	262

Stop Event

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

Counts

22 → 1 050

Calls

Call 1

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

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

eval227.0ms (3.2%)

Memory: 13.3MiB live, 247.6MiB allocated; 34ms collecting garbage
Compiler: Compiled 64 219 to 5 729 computations (91.1% saved)

prune53.0ms (0.7%)

Memory

-22.3MiB live, 82.0MiB allocated; 9ms collecting garbage

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1 311	7	1 318
Fresh	5	12	17
Picked	2	3	5
Done	0	1	1
Total	1 318	23	1 341

Accuracy

100.0%

Counts

1 341 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.8%	(/.f64 (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 a #s(literal 2 binary64))) b)
✓	90.3%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	84.7%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 (*.f64 b a) #s(literal 2 binary64))))
	85.1%	(/.f64 (.f64 (PI.f64) (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)))) #s(literal 2 binary64))
	63.3%	(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
✓	60.8%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
▶	86.0%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))))
✓	90.3%	(.f64 (/.f64 (PI.f64) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	49.4%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b b)))
	57.7%	#s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	67.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b a)) a))
▶	61.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b))
	67.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
▶	56.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (.f64 (.f64 a a) b)))
	53.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) (.f64 (.f64 b a) (*.f64 a a))))
	66.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 b a) a)))
✓	60.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a a) b)))
	57.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64)))
	49.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
▶	67.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
	60.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
	58.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a)))
▶	66.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)) (PI.f64)))

Compiler

Compiled 1 230 to 847 computations (31.1% saved)

simplify111.0ms (1.6%)

Memory

24.5MiB live, 114.1MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	378
0	81	378
1	163	370
2	437	370
3	1452	356
4	5754	356
0	8456	356

Stop Event

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

Calls

Call 1

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

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

localize190.0ms (2.7%)

Memory

-11.7MiB live, 131.9MiB allocated; 18ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.27734375	(/.f64 (PI.f64) a)
accuracy	3.72067110516578	(/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (.f64 (.f64 a a) b))
accuracy	7.203423139171684	(.f64 (.f64 a a) b)
accuracy	26.31111051799516	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (.f64 (.f64 a a) b)))
accuracy	0.27734375	(/.f64 (PI.f64) a)
accuracy	5.2869163036716325	(/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)
accuracy	26.31111051799516	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b))
accuracy	29.436840150515994	#s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
accuracy	0.0	(PI.f64)
accuracy	0.171875	(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
accuracy	0.7893055629922775	(/.f64 (PI.f64) (*.f64 b a))
accuracy	20.998435815443667	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
accuracy	0.1484375	(.f64 (.f64 b a) a)
accuracy	0.16796875	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)) (PI.f64))
accuracy	0.3005928075505733	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a))
accuracy	20.998435815443667	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)) (PI.f64)))
accuracy	0.17578125	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))))
accuracy	0.20703125	(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))
accuracy	0.26953125	(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))
accuracy	8.486212559856332	(/.f64 (/.f64 (-.f64 b a) a) b)

Samples

133.0ms

256×

valid

Compiler

Compiled 304 to 45 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-div: 62.0ms (54.7% of total)

ival-mult: 21.0ms (18.5% of total)

ival-sub: 18.0ms (15.9% of total)

ival-pi: 11.0ms (9.7% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

23 → 80

Calls

Call 1

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

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

Calls

6 calls:

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

simplify213.0ms (3%)

Memory

4.7MiB live, 140.1MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1289
1	1011	1164
2	4008	1108
0	8429	1078

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 80

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

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

rewrite233.0ms (3.3%)

Memory

-18.6MiB live, 185.4MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	323
0	81	323
1	277	275
2	2117	275
0	8402	275

Stop Event

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

Counts

23 → 594

Calls

Call 1

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

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

eval124.0ms (1.8%)

Memory: 14.5MiB live, 204.4MiB allocated; 21ms collecting garbage
Compiler: Compiled 28 953 to 3 231 computations (88.8% saved)

prune39.0ms (0.5%)

Memory

15.0MiB live, 103.6MiB allocated; 10ms collecting garbage

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	819	6	825
Fresh	8	6	14
Picked	2	3	5
Done	0	4	4
Total	829	19	848

Accuracy

100.0%

Counts

848 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) #s(literal 2 binary64))) (.f64 a b))
	60.8%	(/.f64 (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 a #s(literal 2 binary64))) b)
✓	90.3%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	84.7%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 (*.f64 b a) #s(literal 2 binary64))))
	63.3%	(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
✓	60.8%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
✓	90.3%	(.f64 (/.f64 (PI.f64) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	66.6%	(.f64 (/.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (-.f64 b a)) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))))
	99.7%	(.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))))
	57.7%	#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (PI) (* 2 (+ b a)))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	67.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) a))
	67.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b a)) a))
	60.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b))
✓	61.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b))
	66.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 b a) a)))
✓	60.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a a) b)))
	57.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64)))
✓	67.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
✓	66.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)) (PI.f64)))

Compiler

Compiled 1 884 to 590 computations (68.7% saved)

regimes43.0ms (0.6%)

Memory

-20.0MiB live, 78.8MiB allocated; 13ms collecting garbage

Counts

47 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	b
12.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
12.0ms	a

Results

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

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes14.0ms (0.2%)

Memory

-16.6MiB live, 29.5MiB allocated; 2ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

5.0ms	(.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)))
4.0ms	b
4.0ms	a

Results

Accuracy	Segments	Branch
68.9%	2	`(.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)))`
91.3%	3	`a`
91.9%	3	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes8.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	b
4.0ms	a

Results

Accuracy	Segments	Branch
88.0%	3	`a`
88.8%	3	`b`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
88.8%	3	`b`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

-32.1MiB live, 14.4MiB allocated; 2ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
88.8%	3	`b`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
88.8%	3	`b`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.5%	3	`b`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

2.0ms	b
1.0ms	a
1.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
66.7%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
66.7%	1	`a`
66.7%	1	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Accuracy

Total -3.8b remaining (-17.7%)

Threshold costs -3.8b (-17.7%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

1.0ms	b
1.0ms	a
1.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
66.7%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
66.7%	1	`b`
66.7%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch60.0ms (0.9%)

Memory

-13.7MiB live, 81.0MiB allocated; 13ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	6712508483485481.0	6.554777021941462e+19
24.0ms	-23386163524955176.0	-27169013.172692217

Samples

44.0ms

272×

valid

Compiler

Compiled 942 to 683 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 22.0ms (58.4% of total)

ival-mult: 12.0ms (31.8% of total)

ival-sub: 2.0ms (5.3% of total)

ival-pi: 1.0ms (2.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6712508483485481.0	6.554777021941462e+19
1.0ms	-23386163524955176.0	-27169013.172692217

Compiler

Compiled 1 062 to 794 computations (25.2% saved)

bsearch3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6712508483485481.0	6.554777021941462e+19
1.0ms	-23386163524955176.0	-27169013.172692217

Compiler

Compiled 1 062 to 794 computations (25.2% saved)

bsearch3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6712508483485481.0	6.554777021941462e+19
1.0ms	-23386163524955176.0	-27169013.172692217

Compiler

Compiled 1 062 to 794 computations (25.2% saved)

bsearch31.0ms (0.4%)

Memory

-21.2MiB live, 23.9MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6712508483485481.0	6.554777021941462e+19
29.0ms	-23386163524955176.0	-27169013.172692217

Samples

4.0ms

48×

valid

Compiler

Compiled 1 044 to 785 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (32.4% of total)

ival-mult: 1.0ms (32.4% of total)

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6712508483485481.0	6.554777021941462e+19
1.0ms	-23386163524955176.0	-27169013.172692217

Compiler

Compiled 1 044 to 785 computations (24.8% saved)

simplify78.0ms (1.1%)

Memory

-10.9MiB live, 94.5MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	571
1	133	549
2	323	541
3	1157	541
4	6664	541

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) #s(literal 2 binary64))) (.f64 a b))
(if (<=.f64 b #s(literal -4500000000000000 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b a)) a)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))))
(if (<=.f64 b #s(literal -4500000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b a)) a)) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))))
(if (<=.f64 b #s(literal -4500000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (.f64 b a))) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))))
(if (<=.f64 b #s(literal -4500000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))))
(if (<=.f64 b #s(literal -3500000000000000 binary64)) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b b) a)) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))))
(if (<=.f64 b #s(literal -3500000000000000 binary64)) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b b) a)) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 b a) a))) #s(approx ( (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 b a) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)) (PI.f64)))

Outputs
(/.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) #s(literal 2 binary64))) (.f64 a b))
(if (<=.f64 b #s(literal -4500000000000000 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b a)) a)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))))
(if (or (<=.f64 b #s(literal -4500000000000000 binary64)) (not (<=.f64 b #s(literal 3100000000000000000 binary64)))) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b))) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b a)) a)))
(if (<=.f64 b #s(literal -4500000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b a)) a)) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))))
(if (<=.f64 b #s(literal -4500000000000000 binary64)) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b a)) a)) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))))
(if (<=.f64 b #s(literal -4500000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (.f64 b a))) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))))
(if (<=.f64 b #s(literal -4500000000000000 binary64)) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (.f64 b a))) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))))
(if (<=.f64 b #s(literal -4500000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))))
(if (<=.f64 b #s(literal -4500000000000000 binary64)) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))))
(if (<=.f64 b #s(literal -3500000000000000 binary64)) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b b) a)) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))))
(if (or (<=.f64 b #s(literal -3500000000000000 binary64)) (not (<=.f64 b #s(literal 3100000000000000000 binary64)))) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b b) a)) #s(literal 1/2 binary64))) #s(approx ( (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))))
(if (<=.f64 b #s(literal -3500000000000000 binary64)) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b b) a)) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 3100000000000000000 binary64)) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 b a) a))) #s(approx ( (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))))
(if (or (<=.f64 b #s(literal -3500000000000000 binary64)) (not (<=.f64 b #s(literal 3100000000000000000 binary64)))) #s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b b) a)) #s(literal 1/2 binary64))) #s(approx ( (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 b a) a)))
#s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 b a) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)) (PI.f64)))
#s(approx (* (/ (PI) (* (* 2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)) (PI.f64)))

derivations1.1s (15.5%)

Memory

5.6MiB live, 995.7MiB allocated; 219ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	285
0	83	285
1	289	262
2	2294	262
0	8498	262
0	451	1926
1	1538	1583
2	6962	1565
0	8506	1498
0	15	54
0	26	54
1	112	50
2	980	50
0	8912	50
0	49	273
0	78	273
1	302	267
2	2659	267
0	8523	267
0	657	3172
1	2475	2653
0	9045	2522
0	53	323
0	81	323
1	277	275
2	2117	275
0	8402	275
0	291	1145
1	905	1099
2	3533	1055
0	8522	1011

Stop Event

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

Compiler

Compiled 549 to 76 computations (86.2% saved)

preprocess47.0ms (0.7%)

Memory: -3.8MiB live, 84.1MiB allocated; 12ms collecting garbage
Compiler: Compiled 1 140 to 182 computations (84% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze163.0ms (2.3%)

sample1.6s (22.1%)

explain228.0ms (3.2%)

preprocess218.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify161.0ms (2.3%)

localize38.0ms (0.5%)

series11.0ms (0.2%)

simplify170.0ms (2.4%)

rewrite131.0ms (1.9%)

eval49.0ms (0.7%)

prune14.0ms (0.2%)

simplify169.0ms (2.4%)

localize171.0ms (2.4%)

series52.0ms (0.7%)

simplify186.0ms (2.6%)

rewrite199.0ms (2.8%)

eval101.0ms (1.4%)

prune37.0ms (0.5%)

simplify135.0ms (1.9%)

localize192.0ms (2.7%)

series40.0ms (0.6%)

simplify149.0ms (2.1%)

rewrite241.0ms (3.4%)

eval227.0ms (3.2%)

prune53.0ms (0.7%)

simplify111.0ms (1.6%)

localize190.0ms (2.7%)

series25.0ms (0.4%)

simplify213.0ms (3%)

rewrite233.0ms (3.3%)

eval124.0ms (1.8%)

prune39.0ms (0.5%)

regimes43.0ms (0.6%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch60.0ms (0.9%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch31.0ms (0.4%)

bsearch3.0ms (0%)

simplify78.0ms (1.1%)

derivations1.1s (15.5%)

preprocess47.0ms (0.7%)

end0.0ms (0%)

Profiling