Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze90.0ms (1.1%)

Memory

21.1MiB live, 139.1MiB allocated

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)

sample1.3s (16.2%)

Memory

40.2MiB live, 1 504.9MiB allocated

Samples

943.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 625.0ms

ival-div: 247.0ms (39.5% of total)

ival-mult: 207.0ms (33.1% of total)

ival-sub: 117.0ms (18.7% of total)

ival-pi: 37.0ms (5.9% of total)

exact: 9.0ms (1.4% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain226.0ms (2.8%)

Memory

-35.4MiB live, 292.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
37	0	-	1	(2.1880432111221096e-72 2.341369162459494e+155)	`(.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)))`
22	0	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
2	1	(-3.2121771015862515e+89 1.691205839681617e+161)	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	0	-	0	-	`(*.f64 a a)`
0	0	-	0	-	`a`
0	0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	0	-	0	-	`b`
0	0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	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**	36	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	22	0
↳	`(*.f64 b b)`	overflow	67
↳	`(*.f64 a a)`	overflow	80
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	3	0
↳	`(*.f64 b b)`	overflow	67
↳	`(*.f64 a a)`	overflow	80
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	125

Confusion

	Predicted +	Predicted -
+	59	7
-	2	188

Precision

0.9672131147540983

Recall

0.8939393939393939

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	59	0	7
-	2	0	188

Precision?

0.9672131147540983

Recall?

0.8939393939393939

Freqs

test

number	freq
0	195
1	61

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 256 to 64 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 13.0ms (41.1% of total)

ival-mult: 11.0ms (34.8% of total)

ival-sub: 4.0ms (12.7% of total)

ival-pi: 2.0ms (6.3% of total)

exact: 1.0ms (3.2% of total)

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

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

preprocess154.0ms (1.9%)

Memory

7.5MiB live, 189.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	109
1	115	95
2	418	95
3	2111	95
4	6535	95
0	15	21
0	26	21
1	46	19
2	108	19
3	393	18
4	1560	17
5	4253	17
0	8317	17

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

Symmetry

(sort a b)

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.7%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify125.0ms (1.6%)

Memory

-5.2MiB live, 122.0MiB allocated

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	77
0	26	77
1	46	73
2	108	73
3	393	72
4	1560	71
5	4253	71
0	8317	71

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

localize40.0ms (0.5%)

Memory

15.0MiB live, 52.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1875	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	0.3881135018903548	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	4.898416858302059	(-.f64 (.f64 b b) (.f64 a a))
accuracy	8.183351889656773	(.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

30.0ms

256×

valid

Compiler

Compiled 156 to 32 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 12.0ms (56% of total)

ival-mult: 6.0ms (28% of total)

ival-sub: 2.0ms (9.3% of total)

ival-pi: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.4%)

Memory

-32.0MiB live, 13.1MiB allocated

Counts

6 → 52

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

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)
(* 1/2 (/ (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))))))))
(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) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -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 (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 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(+ (* -1/2 (/ (PI) (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))))))))
(- (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) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (* 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))
(* (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
25.0ms	a	@	0	((* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms	b	@	inf	((* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms	a	@	inf	((* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms	b	@	0	((* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
1.0ms	a	@	-inf	((* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))

simplify185.0ms (2.3%)

Memory

3.2MiB live, 194.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1138
1	768	1118
2	2293	1080
3	6393	1080
0	8215	1013

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

Calls

Call 1

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

rewrite157.0ms (2%)

Memory

18.1MiB live, 241.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	54
0	26	50
1	124	50
2	1127	50
0	9242	50

Stop Event

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

Counts

6 → 651

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

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

eval185.0ms (2.3%)

Memory: 1.9MiB live, 244.7MiB allocated
Compiler: Compiled 20 656 to 2 446 computations (88.2% saved)

prune23.0ms (0.3%)

Memory

27.2MiB live, 66.2MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	682	17	699
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	683	17	700

Accuracy

100.0%

Counts

700 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
	87.4%	(fma.f64 (.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (.f64 a a)))))
	44.2%	(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.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)))
	86.8%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	83.6%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
	77.9%	(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (.f64 (.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
▶	83.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
	86.0%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
	78.4%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
	86.8%	(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶	85.9%	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
	85.9%	(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	83.6%	(.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a)))))
▶	51.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a)))
	50.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b)))
	58.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
▶	58.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))

Compiler

Compiled 826 to 552 computations (33.2% saved)

simplify191.0ms (2.4%)

Memory

-11.7MiB live, 182.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (+.f64 a b))
cost-diff	1	(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))
cost-diff	5	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
cost-diff	0	(*.f64 (+.f64 a b) (-.f64 b a))
cost-diff	0	(.f64 (.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
cost-diff	8	(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
cost-diff	0	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (.f64 (.f64 a a) b))
cost-diff	0	(.f64 (/.f64 (PI.f64) (.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 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (PI.f64) (+.f64 a b))
cost-diff	1	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
cost-diff	2	(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
cost-diff	13	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	384
0	87	402
1	186	390
2	594	365
3	2786	339
4	6000	327
0	8760	326

Stop Event

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

Calls

Call 1

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

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

localize182.0ms (2.3%)

Memory

-23.8MiB live, 224.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.171875	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
accuracy	0.22265625	(/.f64 (PI.f64) (+.f64 a b))
accuracy	0.2858200195368841	(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))
accuracy	8.560986952896155	(/.f64 (/.f64 (-.f64 b a) a) b)
accuracy	0.2265625	(*.f64 (PI.f64) (-.f64 b a))
accuracy	0.502372787255783	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
accuracy	1.4840905952511725	(.f64 (.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
accuracy	9.040793806545814	(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
accuracy	0.01171875	(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy	0.34765625	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
accuracy	3.9963954066051253	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a))
accuracy	26.99416358714409	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a)))
accuracy	0.00390625	(.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
accuracy	0.9182002082236425	(/.f64 (PI.f64) (.f64 (.f64 a a) b))
accuracy	6.0247226207697135	(.f64 (.f64 a a) b)
accuracy	22.637418842907245	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
accuracy	0.23046875	(/.f64 (PI.f64) (-.f64 b a))
accuracy	0.29134750976844204	(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
accuracy	3.148417546022561	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
accuracy	3.9534266566051253	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))

Samples

138.0ms

256×

valid

Compiler

Compiled 747 to 106 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 38.0ms (47% of total)

ival-div: 25.0ms (30.9% of total)

ival-pi: 5.0ms (6.2% of total)

ival-pow: 5.0ms (6.2% of total)

ival-add: 3.0ms (3.7% of total)

ival-sub: 3.0ms (3.7% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series65.0ms (0.8%)

Memory

-6.1MiB live, 117.9MiB allocated

Counts

22 → 172

Calls

Call 1

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

Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -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 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a)
(/ 1/2 (* a b))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))))))))
(/ (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 (/ (* 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) (* (pow a 2) b))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 (/ (PI) a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(pow b 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(* (pow a 2) b)
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3))))))))) (pow a 2))
(/ -1/2 (pow a 2))
(/ (- (* -1/2 (/ b a)) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (* -1/2 (/ (pow b 2) (pow a 2)))) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/2 (/ (pow b 3) (pow a 3))))) 1/2) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3)))))) (pow a 2))
(/ (PI) 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))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* -1 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* -1 (pow a 2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (/ (PI) a))
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(* -1 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (- (* -1 (/ (+ (* 1/2 b) (* 1/2 (/ (pow b 2) a))) a)) 1/2) (pow a 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) (pow a 2))
(/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) 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 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (+ (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (* b (+ (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (* 1/2 (+ (/ (* (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))))))))))))) b)
(- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) b)
(/ (+ (* 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)))))) b)
(/ (+ (* 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))))))))) 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))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ (- (/ b a) 1) b)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a)))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 3))))))))) (pow b 2))
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) b)
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) b)
(/ (- (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (* -1/2 (/ a (pow b 2)))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 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)))))) (pow b 3))
(/ (+ (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))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -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 3)))
(* -1 (/ (+ (* -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 3)))
(* -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))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	b	@	inf	((+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (- b a)) (pow a -1)) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (/ (/ (- b a) a) b))) (* (/ 1/2 (- b a)) (/ (/ (- b a) a) b)) (/ (PI) (- b a)) (* (* a a) b) (+ (/ 1/2 b) (/ -1/2 a)) (* (PI) (- b a)) (/ (/ (- b a) a) b))
9.0ms	a	@	inf	((+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (- b a)) (pow a -1)) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (/ (/ (- b a) a) b))) (* (/ 1/2 (- b a)) (/ (/ (- b a) a) b)) (/ (PI) (- b a)) (* (* a a) b) (+ (/ 1/2 b) (/ -1/2 a)) (* (PI) (- b a)) (/ (/ (- b a) a) b))
9.0ms	a	@	-inf	((+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (- b a)) (pow a -1)) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (/ (/ (- b a) a) b))) (* (/ 1/2 (- b a)) (/ (/ (- b a) a) b)) (/ (PI) (- b a)) (* (* a a) b) (+ (/ 1/2 b) (/ -1/2 a)) (* (PI) (- b a)) (/ (/ (- b a) a) b))
8.0ms	b	@	-inf	((+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (- b a)) (pow a -1)) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (/ (/ (- b a) a) b))) (* (/ 1/2 (- b a)) (/ (/ (- b a) a) b)) (/ (PI) (- b a)) (* (* a a) b) (+ (/ 1/2 b) (/ -1/2 a)) (* (PI) (- b a)) (/ (/ (- b a) a) b))
8.0ms	a	@	0	((+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (- b a)) (pow a -1)) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (/ (/ (- b a) a) b))) (* (/ 1/2 (- b a)) (/ (/ (- b a) a) b)) (/ (PI) (- b a)) (* (* a a) b) (+ (/ 1/2 b) (/ -1/2 a)) (* (PI) (- b a)) (/ (/ (- b a) a) b))

simplify269.0ms (3.4%)

Memory

49.8MiB live, 269.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	920	4152
1	2881	3452
0	9201	3258

Stop Event

1×	iter limit
1×	node limit

Counts

172 → 172

Calls

Call 1

Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -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 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a)
(/ 1/2 (* a b))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))))))))
(/ (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 (/ (* 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) (* (pow a 2) b))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 (/ (PI) a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(pow b 2)
(+ (* a (+ b (* -1 b))) (pow b 2))
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(* (pow a 2) b)
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(* b (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3))))))))) (pow a 2))
(/ -1/2 (pow a 2))
(/ (- (* -1/2 (/ b a)) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (* -1/2 (/ (pow b 2) (pow a 2)))) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/2 (/ (pow b 3) (pow a 3))))) 1/2) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3)))))) (pow a 2))
(/ (PI) 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))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(* -1 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* -1 (pow a 2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (/ (PI) a))
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(* -1 (* a (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (- (* -1 (/ (+ (* 1/2 b) (* 1/2 (/ (pow b 2) a))) a)) 1/2) (pow a 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) (pow a 2))
(/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) 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 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (+ (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (* b (+ (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (* 1/2 (+ (/ (* (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))))))))))))) b)
(- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) b)
(/ (+ (* 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)))))) b)
(/ (+ (* 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))))))))) 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))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ (- (/ b a) 1) b)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a)))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 3))))))))) (pow b 2))
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) b)
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) b)
(/ (- (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (* -1/2 (/ a (pow b 2)))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 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)))))) (pow b 3))
(/ (+ (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))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -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 3)))
(* -1 (/ (+ (* -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 3)))
(* -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))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (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 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/.f64 (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 (PI.f64) (pow.f64 b #s(literal 3 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))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/2 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))))) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 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))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -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 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))) #s(literal 1/2 binary64) (.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))))) #s(literal -1/2 binary64))) a (fma.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))))) #s(literal -1/2 binary64) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64)))))) a (.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))))) a (.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) a)
(* -1/2 (/ (PI) (pow b 3)))
(*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))))
(fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))
(fma.f64 (.f64 a (.f64 #s(literal 1/2 binary64) a)) (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (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 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))) (.f64 b b)) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))))) a (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))))) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(fma.f64 (/.f64 (neg.f64 a) b) (/.f64 (PI.f64) 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))
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(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(.f64 (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) b) (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 b b))) a) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 a) a) (.f64 b b))) (.f64 b b))
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/.f64 (fma.f64 a (/.f64 (PI.f64) b) (PI.f64)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/.f64 (fma.f64 a (.f64 a (/.f64 (PI.f64) (.f64 b b))) (fma.f64 a (/.f64 (PI.f64) b) (PI.f64))) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (PI.f64)) (neg.f64 (fma.f64 a (.f64 a (/.f64 (PI.f64) (.f64 b b))) (*.f64 a (/.f64 (PI.f64) b))))) b)
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (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 (.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (.f64 #s(literal 0 binary64) (PI.f64)) a))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (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 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) a) (PI.f64)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 0 binary64) (PI.f64) (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 0 binary64) a) a)))) b)) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (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 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) a) (PI.f64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (+.f64 (/.f64 #s(literal 0 binary64) a) a) (.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 0 binary64) (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 0 binary64) a) a)) (.f64 (.f64 a a) (PI.f64)))) b)) (neg.f64 b))) (neg.f64 b))) (.f64 b b))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 a a) b) a)) b)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 3)))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (.f64 #s(literal 0 binary64) (PI.f64)) b))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (+ (* -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 3)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (.f64 (/.f64 (.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) b) #s(literal -1/2 binary64))) (neg.f64 b)))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (+ (* -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 3)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (fma.f64 (.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (PI.f64)) b)) (neg.f64 b))) (neg.f64 b)))) (pow.f64 b #s(literal 3 binary64)))
(* -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 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (fma.f64 a (.f64 a (/.f64 (PI.f64) b)) (*.f64 (neg.f64 a) (PI.f64))) b))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) b) (.f64 (.f64 (neg.f64 a) a) (PI.f64))) (neg.f64 b)) (*.f64 (PI.f64) a)) (neg.f64 b)) (PI.f64)) (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 (fma.f64 (.f64 a (/.f64 (PI.f64) b)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (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 (fma.f64 (.f64 a (.f64 a (/.f64 (PI.f64) b))) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) a) (PI.f64))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) b) a)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) b) (neg.f64 b)) a)) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a a) b) #s(literal 0 binary64)) b)) b) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 (PI.f64) b) (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (fma.f64 (PI.f64) a (.f64 a (*.f64 a (/.f64 (PI.f64) b)))) b))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) b)) (neg.f64 b)) (PI.f64)) (neg.f64 b))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(*.f64 (fma.f64 a (/.f64 (PI.f64) b) (neg.f64 (PI.f64))) (neg.f64 b))

rewrite235.0ms (2.9%)

Memory

12.3MiB live, 354.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	281
0	87	295
1	389	225
2	3981	225
0	8481	225

Stop Event

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

Counts

22 → 1 361

Calls

Call 1

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

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

eval267.0ms (3.3%)

Memory: -17.6MiB live, 453.0MiB allocated
Compiler: Compiled 43 027 to 4 872 computations (88.7% saved)

prune117.0ms (1.5%)

Memory

-38.8MiB live, 87.5MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1 325	12	1 337
Fresh	10	2	12
Picked	4	1	5
Done	0	0	0
Total	1 339	15	1 354

Accuracy

100.0%

Counts

1 354 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.3%	(/.f64 (/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (-.f64 b a) (.f64 (+.f64 b a) a))) b)
▶	82.5%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (-.f64 b a) (.f64 (+.f64 b a) a)) (*.f64 b #s(literal 2 binary64))))
	83.6%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
▶	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))
	58.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (.f64 (/.f64 (.f64 (*.f64 b b) a) (PI.f64)) #s(literal 2 binary64))))
▶	64.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (.f64 (.f64 a (/.f64 (*.f64 b a) (PI.f64))) #s(literal 2 binary64))))
	68.7%	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))))
	58.9%	#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	58.5%	#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))
	64.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (.f64 b a)))
	50.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b)))
	63.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))
✓	58.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
▶	64.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
▶	58.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Compiler

Compiled 801 to 552 computations (31.1% saved)

simplify169.0ms (2.1%)

Memory

-4.8MiB live, 132.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	312
0	78	306
1	180	302
2	638	286
3	3269	282
4	6923	282
0	8280	282

Stop Event

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

Calls

Call 1

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

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

localize321.0ms (4%)

Memory

22.7MiB live, 180.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f64 (-.f64 b a) (.f64 (+.f64 b a) a))
accuracy	0.2265625	(*.f64 (-.f64 b a) (PI.f64))
accuracy	2.177925487949039	(.f64 (.f64 (-.f64 b a) (.f64 (+.f64 b a) a)) (.f64 b #s(literal 2 binary64)))
accuracy	9.036553892606406	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (-.f64 b a) (.f64 (+.f64 b a) a)) (*.f64 b #s(literal 2 binary64))))
accuracy	0.12890625	(.f64 a (/.f64 (.f64 b a) (PI.f64)))
accuracy	0.234375	(/.f64 (*.f64 b a) (PI.f64))
accuracy	0.502372787255783	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (.f64 (.f64 a (/.f64 (*.f64 b a) (PI.f64))) #s(literal 2 binary64))))
accuracy	23.663508209838113	#s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (.f64 (.f64 a (/.f64 (*.f64 b a) (PI.f64))) #s(literal 2 binary64)))
accuracy	0.15625	(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
accuracy	0.234375	(/.f64 (PI.f64) a)
accuracy	0.38594881362006045	(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
accuracy	22.637418842907245	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
accuracy	0.15625	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))
accuracy	0.8781319244944665	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))
accuracy	6.0247226207697135	(.f64 (.f64 a a) b)
accuracy	22.637418842907245	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
accuracy	0.0	(PI.f64)
accuracy	0.12109375	(.f64 (/.f64 (.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a))
accuracy	0.234375	(/.f64 (.f64 b a) (.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy	0.502372787255783	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))

Samples

94.0ms

256×

valid

Compiler

Compiled 586 to 103 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 29.0ms (54% of total)

ival-div: 18.0ms (33.5% of total)

ival-sub: 3.0ms (5.6% of total)

ival-add: 2.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.6%)

Memory

-6.4MiB live, 32.4MiB allocated

Counts

23 → 74

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	a	@	0	((/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (/ (* b a) (* 1/2 (PI))) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b a))) (/ (PI) a) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* a (/ (* b a) (PI))) 2) (* a (/ (* b a) (PI))) (/ (* (- b a) (PI)) (* (* (- b a) (* (+ b a) a)) (* b 2))) (* (- b a) (PI)) (- b a) (* (* a a) b) (/ 1/2 (* b a)) (/ (* b a) (PI)) (* (* (- b a) (* (+ b a) a)) (* b 2)) (* (- b a) (* (+ b a) a)))
5.0ms	b	@	-inf	((/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (/ (* b a) (* 1/2 (PI))) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b a))) (/ (PI) a) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* a (/ (* b a) (PI))) 2) (* a (/ (* b a) (PI))) (/ (* (- b a) (PI)) (* (* (- b a) (* (+ b a) a)) (* b 2))) (* (- b a) (PI)) (- b a) (* (* a a) b) (/ 1/2 (* b a)) (/ (* b a) (PI)) (* (* (- b a) (* (+ b a) a)) (* b 2)) (* (- b a) (* (+ b a) a)))
5.0ms	a	@	-inf	((/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (/ (* b a) (* 1/2 (PI))) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b a))) (/ (PI) a) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* a (/ (* b a) (PI))) 2) (* a (/ (* b a) (PI))) (/ (* (- b a) (PI)) (* (* (- b a) (* (+ b a) a)) (* b 2))) (* (- b a) (PI)) (- b a) (* (* a a) b) (/ 1/2 (* b a)) (/ (* b a) (PI)) (* (* (- b a) (* (+ b a) a)) (* b 2)) (* (- b a) (* (+ b a) a)))
4.0ms	b	@	inf	((/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (/ (* b a) (* 1/2 (PI))) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b a))) (/ (PI) a) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* a (/ (* b a) (PI))) 2) (* a (/ (* b a) (PI))) (/ (* (- b a) (PI)) (* (* (- b a) (* (+ b a) a)) (* b 2))) (* (- b a) (PI)) (- b a) (* (* a a) b) (/ 1/2 (* b a)) (/ (* b a) (PI)) (* (* (- b a) (* (+ b a) a)) (* b 2)) (* (- b a) (* (+ b a) a)))
4.0ms	b	@	0	((/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (/ (* b a) (* 1/2 (PI))) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b a))) (/ (PI) a) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* a (/ (* b a) (PI))) 2) (* a (/ (* b a) (PI))) (/ (* (- b a) (PI)) (* (* (- b a) (* (+ b a) a)) (* b 2))) (* (- b a) (PI)) (- b a) (* (* a a) b) (/ 1/2 (* b a)) (/ (* b a) (PI)) (* (* (- b a) (* (+ b a) a)) (* b 2)) (* (- b a) (* (+ b a) a)))

simplify188.0ms (2.4%)

Memory

-9.0MiB live, 145.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	1017
1	1020	944
2	3525	894
0	8454	860

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 73

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

rewrite357.0ms (4.5%)

Memory

6.6MiB live, 167.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	265
0	78	255
1	337	219
2	3030	219
0	8602	219

Stop Event

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

Counts

23 → 1 462

Calls

Call 1

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

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

eval369.0ms (4.6%)

Memory: 20.2MiB live, 251.6MiB allocated
Compiler: Compiled 38 619 to 4 761 computations (87.7% saved)

prune142.0ms (1.8%)

Memory

-6.8MiB live, 114.1MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1 396	11	1 407
Fresh	8	1	9
Picked	3	2	5
Done	0	1	1
Total	1 407	15	1 422

Accuracy

100.0%

Counts

1 422 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (PI.f64)) (+.f64 a b))
✓	82.5%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (-.f64 b a) (.f64 (+.f64 b a) a)) (*.f64 b #s(literal 2 binary64))))
	52.5%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 #s(approx (* (- b a) (* (+ b a) a)) (.f64 (.f64 b b) a)) (*.f64 b #s(literal 2 binary64))))
	93.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) b) (PI.f64)) (*.f64 (+.f64 a b) a)))
	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 a (/.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (+.f64 b a)))
▶	58.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (.f64 (.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
	68.7%	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a))))
▶	58.9%	#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	58.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b))
	63.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (.f64 (.f64 (*.f64 a b) #s(literal 2 binary64)) a)))
▶	64.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 a b) (PI.f64)) a)))
✓	58.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
✓	64.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
	58.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 a a))))
▶	63.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))

Compiler

Compiled 653 to 474 computations (27.4% saved)

simplify138.0ms (1.7%)

Memory

-15.5MiB live, 104.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	275
0	67	275
1	144	271
2	379	269
3	1133	267
4	3266	265
5	5117	265
0	8129	265

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (1.9%)

Memory

1.4MiB live, 163.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15625	(/.f64 (*.f64 b b) (PI.f64))
accuracy	0.502372787255783	(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (.f64 (.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
accuracy	8.602885339465887	(.f64 (.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)
accuracy	23.88760181540396	#s(approx (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (.f64 (.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))
accuracy	0.12890625	(.f64 (/.f64 (.f64 a b) (PI.f64)) a)
accuracy	0.234375	(/.f64 (*.f64 a b) (PI.f64))
accuracy	0.7129812914885398	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 a b) (PI.f64)) a))
accuracy	22.637418842907245	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 a b) (PI.f64)) a)))
accuracy	0.16796875	(/.f64 (PI.f64) (.f64 (.f64 b b) a))
accuracy	0.19801837217206014	(.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
accuracy	8.594997708282998	(.f64 (.f64 b b) a)
accuracy	21.800931012502573	#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
accuracy	0.1328125	(.f64 (.f64 a b) a)
accuracy	0.15625	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a)))
accuracy	0.8781319244944665	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a))
accuracy	22.637418842907245	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))
accuracy	0.0	(PI.f64)
accuracy	0.10546875	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (PI.f64)) (+.f64 a b))
accuracy	0.24609375	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (PI.f64))
accuracy	0.38594881362006045	(/.f64 #s(literal 1/2 binary64) (*.f64 a b))

Samples

113.0ms

256×

valid

Compiler

Compiled 502 to 90 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 22.0ms (48.1% of total)

ival-div: 18.0ms (39.4% of total)

ival-sub: 2.0ms (4.4% of total)

ival-add: 2.0ms (4.4% of total)

ival-pi: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (0.8%)

Memory

18.6MiB live, 56.2MiB allocated

Counts

22 → 35

Calls

Call 1

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

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)
(* 1/2 (/ (PI) (* a b)))
(/ 1/2 (* a b))
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ 1/2 (* (pow a 2) b))
(/ (PI) (* a (pow b 2)))
(/ (* (pow a 2) b) (PI))
(/ (* a b) (PI))
(* 2 (/ (* a (pow b 2)) (PI)))
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI)))))
(* (pow a 2) b)
(* a (pow b 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))
(* 2 (/ (* (pow a 2) b) (PI)))
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI))))))
(/ (+ (* -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 (/ (* 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 (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI)))))
(* 2 (/ (pow b 2) (PI)))
(/ (pow b 2) (PI))
(/ (+ (* -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) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI))))))
(/ (+ (* -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
37.0ms	a	@	-inf	((/ (* (/ 1/2 (* a b)) (PI)) (+ a b)) (* (/ 1/2 (* a b)) (PI)) (/ 1/2 (* a b)) (* a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1/2 (* (/ (* a b) (PI)) a)) (* (/ (* a b) (PI)) a) (/ (* a b) (PI)) (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (* (* (/ (* b b) (PI)) 2) a) (* (/ (* b b) (PI)) 2) (* (* a b) a) (* (* b b) a) (/ (* b b) (PI)))
5.0ms	b	@	-inf	((/ (* (/ 1/2 (* a b)) (PI)) (+ a b)) (* (/ 1/2 (* a b)) (PI)) (/ 1/2 (* a b)) (* a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1/2 (* (/ (* a b) (PI)) a)) (* (/ (* a b) (PI)) a) (/ (* a b) (PI)) (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (* (* (/ (* b b) (PI)) 2) a) (* (/ (* b b) (PI)) 2) (* (* a b) a) (* (* b b) a) (/ (* b b) (PI)))
4.0ms	b	@	inf	((/ (* (/ 1/2 (* a b)) (PI)) (+ a b)) (* (/ 1/2 (* a b)) (PI)) (/ 1/2 (* a b)) (* a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1/2 (* (/ (* a b) (PI)) a)) (* (/ (* a b) (PI)) a) (/ (* a b) (PI)) (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (* (* (/ (* b b) (PI)) 2) a) (* (/ (* b b) (PI)) 2) (* (* a b) a) (* (* b b) a) (/ (* b b) (PI)))
4.0ms	a	@	0	((/ (* (/ 1/2 (* a b)) (PI)) (+ a b)) (* (/ 1/2 (* a b)) (PI)) (/ 1/2 (* a b)) (* a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1/2 (* (/ (* a b) (PI)) a)) (* (/ (* a b) (PI)) a) (/ (* a b) (PI)) (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (* (* (/ (* b b) (PI)) 2) a) (* (/ (* b b) (PI)) 2) (* (* a b) a) (* (* b b) a) (/ (* b b) (PI)))
4.0ms	b	@	0	((/ (* (/ 1/2 (* a b)) (PI)) (+ a b)) (* (/ 1/2 (* a b)) (PI)) (/ 1/2 (* a b)) (* a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1/2 (* (/ (* a b) (PI)) a)) (* (/ (* a b) (PI)) a) (/ (* a b) (PI)) (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (* (* (/ (* b b) (PI)) 2) a) (* (/ (* b b) (PI)) 2) (* (* a b) a) (* (* b b) a) (/ (* b b) (PI)))

simplify212.0ms (2.6%)

Memory

-6.3MiB live, 150.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	599
1	456	591
2	1259	571
3	2897	531
4	5208	527
0	8211	493

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

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

rewrite218.0ms (2.7%)

Memory

6.5MiB live, 207.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	240
0	67	236
1	303	218
2	2429	218
0	8837	218

Stop Event

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

Counts

22 → 651

Calls

Call 1

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

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

eval225.0ms (2.8%)

Memory: -14.0MiB live, 139.7MiB allocated
Compiler: Compiled 20 392 to 2 782 computations (86.4% saved)

prune45.0ms (0.6%)

Memory

13.0MiB live, 61.3MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	778	10	788
Fresh	5	2	7
Picked	3	2	5
Done	0	3	3
Total	786	17	803

Accuracy

100.0%

Counts

803 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.8%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (.f64 b (+.f64 b a)))
✓	82.5%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (-.f64 b a) (.f64 (+.f64 b a) a)) (*.f64 b #s(literal 2 binary64))))
	98.8%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
	65.8%	(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* b a) (* 1/2 (PI))) (+ b a)) (.f64 b (.f64 (/.f64 b (PI.f64)) (*.f64 #s(literal 2 binary64) a)))))
	65.8%	#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (/.f64 #s(literal 1/2 binary64) (.f64 b (/.f64 (.f64 b a) (PI.f64)))))
✓	58.9%	#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	65.8%	#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) #s(literal 1/2 binary64)))
	65.8%	#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
	58.9%	#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b b))))
	65.7%	#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) (.f64 b a))))
	58.9%	#s(approx (/ 1 (* (/ (* b a) (* 1/2 (PI))) (+ b a))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a))))
	58.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b))
	63.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (.f64 (.f64 (*.f64 a b) #s(literal 2 binary64)) a)))
	64.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b (/.f64 a (PI.f64))) a)))
✓	58.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
✓	64.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
✓	63.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))

Compiler

Compiled 1 653 to 567 computations (65.7% saved)

regimes67.0ms (0.8%)

Memory

6.5MiB live, 44.0MiB allocated

Counts

51 → 1

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	(.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)))
14.0ms	b
14.0ms	a

Results

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

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes43.0ms (0.5%)

Memory

-2.6MiB live, 34.9MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	(.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)))
7.0ms	b
7.0ms	a

Results

Accuracy	Segments	Branch
98.8%	1	`a`
98.8%	1	`b`
98.8%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes16.0ms (0.2%)

Memory

-11.2MiB live, 27.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms	(.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
93.6%	2	`a`
90.7%	2	`b`
72.8%	4	`(.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 23 to 19 computations (17.4% saved)

regimes7.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
83.9%	2	`b`
86.8%	2	`a`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes36.0ms (0.5%)

Memory

-35.9MiB live, 14.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	a
2.0ms	b
2.0ms	(.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
63.8%	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)))`
63.8%	1	`b`
63.8%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes6.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

2.0ms	a
2.0ms	b
2.0ms	(.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
63.8%	1	`b`
63.8%	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)))`
63.8%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Calls

3 calls:

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)))
1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
58.8%	1	`b`
58.8%	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)))`
58.8%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch21.0ms (0.3%)

Memory

-19.3MiB live, 19.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-1.866063598208185e-33	-3.4050082415492266e-35

Samples

15.0ms

112×

valid

Compiler

Compiled 402 to 314 computations (21.9% saved)

Precisions

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

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

ival-mult: 2.0ms (29.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-1.866063598208185e-33	-3.4050082415492266e-35

Samples

3.0ms

32×

valid

Compiler

Compiled 458 to 342 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (50.4% of total)

ival-mult: 1.0ms (50.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify61.0ms (0.8%)

Memory

-7.3MiB live, 31.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	61	239
1	101	227
2	255	225
3	823	219
4	2569	219
5	4969	213

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (PI.f64)) (+.f64 a b))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
(if (<=.f64 a #s(literal -319703483166135/182687704666362864775460604089535377456991567872 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) #s(approx (/ 1 ( (/ (* b a) (* 1/2 (PI))) (+ b a))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -4530655075725799/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a 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 (*.f64 b a) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Outputs
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (PI.f64)) (+.f64 a b))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
(if (<=.f64 a #s(literal -319703483166135/182687704666362864775460604089535377456991567872 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) #s(approx (/ 1 ( (/ (* b a) (* 1/2 (PI))) (+ b a))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -4530655075725799/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a 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 (*.f64 b a) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

soundness1.2s (14.6%)

Memory

12.4MiB live, 845.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	1017
1	1020	944
2	3525	894
0	8454	860
0	46	240
0	67	236
1	303	218
2	2429	218
0	8837	218
0	52	265
0	78	255
1	337	219
2	3030	219
0	8602	219
0	53	281
0	87	295
1	389	225
2	3981	225
0	8481	225
0	15	54
0	26	50
1	124	50
2	1127	50
0	9242	50
0	291	1138
1	768	1118
2	2293	1080
3	6393	1080
0	8215	1013

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

Compiler

Compiled 647 to 326 computations (49.6% saved)

preprocess70.0ms (0.9%)

Memory: 9.0MiB live, 123.1MiB allocated
Remove: (sort a b)
Compiler: Compiled 542 to 172 computations (68.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze90.0ms (1.1%)

sample1.3s (16.2%)

explain226.0ms (2.8%)

preprocess154.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify125.0ms (1.6%)

localize40.0ms (0.5%)

series33.0ms (0.4%)

simplify185.0ms (2.3%)

rewrite157.0ms (2%)

eval185.0ms (2.3%)

prune23.0ms (0.3%)

simplify191.0ms (2.4%)

localize182.0ms (2.3%)

series65.0ms (0.8%)

simplify269.0ms (3.4%)

rewrite235.0ms (2.9%)

eval267.0ms (3.3%)

prune117.0ms (1.5%)

simplify169.0ms (2.1%)

localize321.0ms (4%)

series51.0ms (0.6%)

simplify188.0ms (2.4%)

rewrite357.0ms (4.5%)

eval369.0ms (4.6%)

prune142.0ms (1.8%)

simplify138.0ms (1.7%)

localize151.0ms (1.9%)

series60.0ms (0.8%)

simplify212.0ms (2.6%)

rewrite218.0ms (2.7%)

eval225.0ms (2.8%)

prune45.0ms (0.6%)

regimes67.0ms (0.8%)

regimes43.0ms (0.5%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes36.0ms (0.5%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch21.0ms (0.3%)

bsearch6.0ms (0.1%)

simplify61.0ms (0.8%)

soundness1.2s (14.6%)

preprocess70.0ms (0.9%)

end0.0ms (0%)

Profiling