Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze161.0ms (1.8%)

Memory

-21.7MiB live, 156.0MiB 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)

sample1.4s (15.4%)

Memory

77.9MiB live, 1 991.6MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 755.0ms

ival-div: 364.0ms (48.2% of total)

ival-mult: 214.0ms (28.4% of total)

ival-sub: 103.0ms (13.7% of total)

ival-pi: 52.0ms (6.9% of total)

exact: 9.0ms (1.2% of total)

ival-true: 7.0ms (0.9% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain229.0ms (2.5%)

Memory

-22.4MiB live, 522.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
38	-	2	(-2.1957419838361096e+157 -1.871035655200998e-39)	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
12	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
5	-	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	-	0	-	`b`
0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	36	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	12	0
↳	`(*.f64 b b)`	overflow	55
↳	`(*.f64 a a)`	overflow	67
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	5	0
↳	`(*.f64 b b)`	overflow	55
↳	`(*.f64 a a)`	overflow	67
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	110

Confusion

	Predicted +	Predicted -
+	51	5
-	2	198

Precision

0.9622641509433962

Recall

0.9107142857142857

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	51	0	5
-	2	0	198

Precision?

0.9622641509433962

Recall?

0.9107142857142857

Freqs

test

number	freq
0	203
1	53

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

96.0ms

512×

valid

Compiler

Compiled 256 to 64 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-sub: 35.0ms (51.3% of total)

ival-div: 15.0ms (22% of total)

ival-mult: 13.0ms (19.1% of total)

ival-pi: 3.0ms (4.4% of total)

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

exact: 1.0ms (1.5% of total)

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

preprocess178.0ms (1.9%)

Memory

14.0MiB live, 251.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	109
1	115	95
2	418	95
3	2087	95
4	6060	95
0	15	21
0	26	21
1	46	19
2	108	19
3	393	18
4	1569	17
5	4280	17
0	8405	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 #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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.8%	(.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)

simplify111.0ms (1.2%)

Memory

-4.8MiB live, 107.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 b b) (.f64 a a))
cost-diff	320	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
cost-diff	320	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
cost-diff	384	(/.f64 (PI.f64) #s(literal 2 binary64))

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	1569	71
5	4280	71
0	8405	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 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))
#s(literal 1 binary64)
(*.f64 (-.f64 b a) (+.f64 a b))
(*.f64 b b)
b
(*.f64 a a)
a
(-.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)

localize85.0ms (0.9%)

Memory

-2.2MiB live, 78.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.18359375	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	0.6995766091956095	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	2.800764736641647	(-.f64 (.f64 b b) (.f64 a a))
accuracy	8.225565748630762	(.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

75.0ms

256×

valid

Compiler

Compiled 156 to 32 computations (79.5% saved)

Precisions

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

ival-div: 23.0ms (61.4% of total)

ival-mult: 11.0ms (29.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

-13.2MiB live, 23.4MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (PI.f64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify169.0ms (1.8%)

Memory

23.0MiB live, 186.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1696
1	768	1666
2	2293	1612
3	6396	1612
0	8355	1525

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite192.0ms (2.1%)

Memory

-7.0MiB live, 235.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49

Stop Event

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

Counts

5 → 583

Calls

Call 1

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

Outputs
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eval94.0ms (1%)

Memory: 2.2MiB live, 185.2MiB allocated
Compiler: Compiled 20 385 to 2 114 computations (89.6% saved)

prune32.0ms (0.3%)

Memory

9.5MiB live, 85.4MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	659	20	679
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	660	20	680

Accuracy

99.9%

Counts

680 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.2%	(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)))
	86.2%	(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)))))
	47.9%	(/.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)))
	86.2%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	87.0%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (.f64 a b) (-.f64 b a)))
	79.5%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
▶	81.0%	(/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (.f64 a a)))) (.f64 a b))
	71.8%	(/.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))
	85.6%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
	87.1%	(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶	85.5%	(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	73.7%	(.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))))
	37.3%	(.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)))
	73.6%	(.f64 (PI.f64) (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (/.f64 (-.f64 b a) a) b)))
	45.6%	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	53.1%	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶	53.0%	#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)))
	45.4%	#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)))
	53.7%	#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)))
▶	59.3%	#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 1 004 to 686 computations (31.7% saved)

simplify116.0ms (1.3%)

Memory

14.9MiB live, 171.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 b a) a)
cost-diff	0	(/.f64 (/.f64 (-.f64 b a) a) b)
cost-diff	320	(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
cost-diff	1088	(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 b a)
cost-diff	0	(*.f64 (-.f64 b a) (PI.f64))
cost-diff	0	(.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
cost-diff	0	#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	384	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
cost-diff	2816	(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)))
cost-diff	6080	(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	370
0	86	380
1	181	370
2	481	353
3	1564	343
4	6090	317
0	8144	317

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

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

localize169.0ms (1.8%)

Memory

-19.8MiB live, 377.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.209316259768442	(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy	0.26171875	(/.f64 (PI.f64) (+.f64 a b))
accuracy	0.27181625976844204	(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b)))
accuracy	8.81568096665803	(/.f64 (/.f64 (-.f64 b a) a) b)
accuracy	0.25390625	(*.f64 (-.f64 b a) (PI.f64))
accuracy	0.6800453843356479	(/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))
accuracy	1.006180250190683	(fma.f64 (neg.f64 b) b (*.f64 a a))
accuracy	29.79986142030355	(.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))))
accuracy	0.01171875	(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy	0.32421875	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
accuracy	4.152921971481997	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a))
accuracy	25.886871508257542	#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	0.26860989909541494	(/.f64 (PI.f64) (.f64 (.f64 a a) b))
accuracy	7.984764651944461	(.f64 (.f64 a a) b)
accuracy	21.890208269325424	#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	0.2578125	(/.f64 (PI.f64) (-.f64 b a))
accuracy	0.26171875	(/.f64 (PI.f64) (+.f64 a b))
accuracy	2.8398293008114406	(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	3.752169647213281	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))

Samples

124.0ms

256×

valid

Compiler

Compiled 723 to 104 computations (85.6% saved)

Precisions

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

ival-div: 46.0ms (46.1% of total)

ival-mult: 35.0ms (35.1% of total)

ival-pow: 6.0ms (6% of total)

ival-add: 5.0ms (5% of total)

ival-sub: 4.0ms (4% of total)

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

exact: 1.0ms (1% of total)

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

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

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

series112.0ms (1.2%)

Memory

-14.8MiB live, 122.4MiB allocated

Counts

23 → 528

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (PI.f64) (+.f64 a b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (PI.f64) (.f64 (.f64 a a) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (PI.f64) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (-.f64 b a) a) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 b) b (*.f64 a a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (.f64 (.f64 a a) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (.f64 (.f64 a a) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (.f64 (.f64 a a) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (.f64 (.f64 a a) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (.f64 (.f64 a a) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (.f64 (.f64 a a) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (.f64 (.f64 a a) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (.f64 (.f64 a a) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #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))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (/.f64 (-.f64 b a) a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (/.f64 (-.f64 b a) a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (/.f64 (-.f64 b a) a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (/.f64 (-.f64 b a) a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	b	@	inf	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 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))) (+ (/ 1/2 b) (/ -1/2 a)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (- b a) (PI)) (- b a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (+ (* (neg b) b) (* a a)) (/ -1/2 (+ (* (neg b) b) (* a a))))
10.0ms	a	@	inf	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 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))) (+ (/ 1/2 b) (/ -1/2 a)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (- b a) (PI)) (- b a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (+ (* (neg b) b) (* a a)) (/ -1/2 (+ (* (neg b) b) (* a a))))
10.0ms	a	@	0	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 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))) (+ (/ 1/2 b) (/ -1/2 a)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (- b a) (PI)) (- b a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (+ (* (neg b) b) (* a a)) (/ -1/2 (+ (* (neg b) b) (* a a))))
8.0ms	b	@	0	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 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))) (+ (/ 1/2 b) (/ -1/2 a)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (- b a) (PI)) (- b a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (+ (* (neg b) b) (* a a)) (/ -1/2 (+ (* (neg b) b) (* a a))))
7.0ms	b	@	-inf	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 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))) (+ (/ 1/2 b) (/ -1/2 a)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (- b a) (PI)) (- b a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (+ (* (neg b) b) (* a a)) (/ -1/2 (+ (* (neg b) b) (* a a))))

simplify473.0ms (5.2%)

Memory

29.1MiB live, 184.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1106	8351
1	3369	7658
0	8466	7291

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 525

Calls

Call 1

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

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

rewrite299.0ms (3.3%)

Memory

-18.3MiB live, 210.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	262
0	82	268
1	371	246
2	3845	246
0	9196	246

Stop Event

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

Counts

23 → 965

Calls

Call 1

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

Outputs
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eval474.0ms (5.2%)

Memory: 5.0MiB live, 586.4MiB allocated
Compiler: Compiled 67 630 to 5 660 computations (91.6% saved)

prune105.0ms (1.1%)

Memory

14.9MiB live, 287.9MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1 979	17	1 996
Fresh	14	1	15
Picked	4	1	5
Done	0	0	0
Total	1 997	19	2 016

Accuracy

100.0%

Counts

2 016 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.3%	(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) (-.f64 b a))
	79.5%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
	81.5%	(/.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (.f64 a a))) (-.f64 b a)) (PI.f64)) (.f64 a b))
	45.6%	(/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) #s(approx (/ -1/2 (+ (* (neg b) b) (* a a))) (/.f64 #s(literal 1/2 binary64) (.f64 b b)))) (.f64 a b))
	61.1%	(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (.f64 a b))
	65.6%	(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b))
	88.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)))))
▶	98.5%	(.f64 (/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
▶	98.1%	(.f64 (/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	21.8%	(.f64 (.f64 (fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
▶	63.5%	(.f64 #s(approx ( (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	69.3%	(.f64 #s(approx ( (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	53.7%	#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)))
▶	59.3%	#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))
	45.4%	#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)))
	59.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (.f64 a a)))
	65.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
✓	59.3%	#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)))
▶	59.3%	#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 987 to 678 computations (31.3% saved)

simplify131.0ms (1.4%)

Memory

-34.3MiB live, 196.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 b a)
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) (-.f64 b a))
cost-diff	1408	(.f64 (/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
cost-diff	0	(/.f64 (PI.f64) a)
cost-diff	0	(/.f64 (/.f64 (PI.f64) a) b)
cost-diff	0	#s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b))
cost-diff	0	(.f64 #s(approx ( (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b))
cost-diff	768	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b)
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 (.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))
cost-diff	0	(-.f64 b a)
cost-diff	320	(*.f64 (-.f64 b a) #s(literal 1 binary64))
cost-diff	1408	(.f64 (/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	316
0	73	310
1	159	306
2	530	306
3	2554	274
4	4793	274
5	7830	274
0	8240	274

Stop Event

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

Calls

Call 1

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

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

localize146.0ms (1.6%)

Memory

-19.6MiB live, 253.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (+.f64 a b) (.f64 a b))
accuracy	0.209316259768442	(.f64 (/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy	0.25390625	(*.f64 (PI.f64) (-.f64 b a))
accuracy	16.391216240101517	(/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (*.f64 a b)))
accuracy	0.19140625	(/.f64 (/.f64 (PI.f64) a) b)
accuracy	0.209316259768442	(.f64 #s(approx ( (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy	0.25	(/.f64 (PI.f64) a)
accuracy	31.048476740261144	#s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b))
accuracy	0	(PI.f64)
accuracy	0.5210240556071134	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a))
accuracy	7.959380164455485	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b)
accuracy	21.890208269325424	#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))
accuracy	0.1796875	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))
accuracy	0.2191899935659083	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))
accuracy	7.984764651944461	(.f64 (.f64 a a) b)
accuracy	21.890208269325424	#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	0.170253759768442	(.f64 (.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))
accuracy	0.209316259768442	(.f64 (/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
accuracy	0.2421875	(/.f64 (+.f64 a b) (PI.f64))
accuracy	16.11169786416136	(/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64))))

Samples

99.0ms

256×

valid

Compiler

Compiled 602 to 94 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 42.0ms (56.6% of total)

ival-mult: 24.0ms (32.4% of total)

ival-sub: 6.0ms (8.1% of total)

ival-pi: 1.0ms (1.3% of total)

ival-add: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.5%)

Memory

12.5MiB live, 96.4MiB allocated

Counts

23 → 480

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 b a) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 a b) (/.f64 (+.f64 a b) (PI.f64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (PI.f64) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (PI.f64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx ( (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (PI.f64) a) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (PI.f64) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 a b) (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (+.f64 a b) (.f64 a b)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (-.f64 b a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (-.f64 b a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (-.f64 b a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (-.f64 b a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (.f64 a b) (/.f64 (+.f64 a b) (PI.f64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (/.f64 (PI.f64) a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (/.f64 (PI.f64) a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (/.f64 (PI.f64) a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (/.f64 (PI.f64) a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (PI.f64) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (PI.f64) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (PI.f64) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (PI.f64) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (-.f64 b a) #s(literal 1 binary64)) (.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (+.f64 a b) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (+.f64 a b) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (+.f64 a b) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (+.f64 a b) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (+.f64 a b) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (+.f64 a b) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (+.f64 a b) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (+.f64 a b) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (+.f64 a b) (.f64 a b)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	((* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (* (- b a) 1) (- b a) (* (* a b) (/ (+ a b) (PI))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) 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) 1/2) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (PI) a) b) (/ (PI) a) (* (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (/ 1/2 (- b a))) (* (PI) (- b a)) (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ (+ a b) (PI)) (* (* a a) b) (/ (* (PI) 1/2) (* a a)) (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (* (+ a b) (* a b)))
4.0ms	a	@	-inf	((* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (* (- b a) 1) (- b a) (* (* a b) (/ (+ a b) (PI))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) 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) 1/2) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (PI) a) b) (/ (PI) a) (* (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (/ 1/2 (- b a))) (* (PI) (- b a)) (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ (+ a b) (PI)) (* (* a a) b) (/ (* (PI) 1/2) (* a a)) (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (* (+ a b) (* a b)))
4.0ms	b	@	-inf	((* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (* (- b a) 1) (- b a) (* (* a b) (/ (+ a b) (PI))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) 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) 1/2) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (PI) a) b) (/ (PI) a) (* (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (/ 1/2 (- b a))) (* (PI) (- b a)) (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ (+ a b) (PI)) (* (* a a) b) (/ (* (PI) 1/2) (* a a)) (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (* (+ a b) (* a b)))
3.0ms	a	@	0	((* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (* (- b a) 1) (- b a) (* (* a b) (/ (+ a b) (PI))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) 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) 1/2) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (PI) a) b) (/ (PI) a) (* (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (/ 1/2 (- b a))) (* (PI) (- b a)) (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ (+ a b) (PI)) (* (* a a) b) (/ (* (PI) 1/2) (* a a)) (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (* (+ a b) (* a b)))
3.0ms	b	@	0	((* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (* (- b a) 1) (- b a) (* (* a b) (/ (+ a b) (PI))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) 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) 1/2) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (PI) a) b) (/ (PI) a) (* (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (/ 1/2 (- b a))) (* (PI) (- b a)) (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ (+ a b) (PI)) (* (* a a) b) (/ (* (PI) 1/2) (* a a)) (/ (* (PI) (- b a)) (* (+ a b) (* a b))) (* (+ a b) (* a b)))

simplify183.0ms (2%)

Memory

-13.9MiB live, 269.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	6387
1	1059	5944
2	2862	5792
3	7866	5756
0	8649	5531

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 474

Calls

Call 1

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

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

rewrite205.0ms (2.2%)

Memory

41.1MiB live, 302.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	257
0	73	247
1	328	247
2	3069	247
0	8666	247

Stop Event

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

Counts

23 → 1 771

Calls

Call 1

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

Outputs
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eval488.0ms (5.3%)

Memory: -2.2MiB live, 771.5MiB allocated
Compiler: Compiled 81 669 to 5 524 computations (93.2% saved)

prune116.0ms (1.3%)

Memory

-12.0MiB live, 211.5MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	2 764	9	2 773
Fresh	8	5	13
Picked	3	2	5
Done	0	1	1
Total	2 775	17	2 792

Accuracy

100.0%

Counts

2 792 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.7%	(/.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)))
▶	92.4%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) (.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b))
	45.6%	(/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) #s(approx (/ -1/2 (+ (* (neg b) b) (* a a))) (/.f64 #s(literal 1/2 binary64) (.f64 b b)))) (.f64 a b))
	61.1%	(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (.f64 a b))
▶	65.6%	(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b))
	62.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 #s(approx ( (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64))))
▶	79.5%	(.f64 (.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))))
	63.5%	(.f64 #s(approx (/ ( (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
✓	63.5%	(.f64 #s(approx ( (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	53.7%	#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)))
	61.0%	#s(approx (* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a b)) b) #s(literal 1/2 binary64)))
✓	59.3%	#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))
	59.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a)))
	65.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
✓	59.3%	#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)))
▶	65.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))))
▶	65.4%	#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 855 to 589 computations (31.1% saved)

simplify257.0ms (2.8%)

Memory

4.4MiB live, 117.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 b a)
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) (-.f64 b a))
cost-diff	1024	(.f64 (.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))))
cost-diff	0	(/.f64 (PI.f64) a)
cost-diff	0	(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b))
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))))
cost-diff	384	(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b))
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 (.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)
cost-diff	0	(-.f64 b a)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
cost-diff	1408	(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	311
0	77	303
1	155	297
2	442	281
3	1883	265
4	5326	265
0	8312	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 b a)) (-.f64 b a)) (.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a))
(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
#s(literal 1/2 binary64)
(-.f64 b a)
b
a
(.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)
(*.f64 (/.f64 (+.f64 a b) (PI.f64)) a)
(/.f64 (+.f64 a b) (PI.f64))
(+.f64 a b)
(PI.f64)
#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 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))))
(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b)))
(PI.f64)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(*.f64 a b)
b
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b))
#s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/.f64 (PI.f64) a)
(PI.f64)
a
#s(literal 1/2 binary64)
(*.f64 a b)
b
(.f64 (.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))))
(*.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
b
a
(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a))))
#s(literal 1/2 binary64)
(.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))
(*.f64 (+.f64 a b) a)
(+.f64 a b)
(*.f64 b (-.f64 b a))

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

localize185.0ms (2%)

Memory

-2.1MiB live, 151.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(*.f64 (PI.f64) (-.f64 b a))
accuracy	0.6149330670097782	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a))))
accuracy	1.4592471205768507	(.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))
accuracy	10.85309605516868	(.f64 (.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))))
accuracy	0	(PI.f64)
accuracy	0.171875	(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b))
accuracy	0.25	(/.f64 (PI.f64) a)
accuracy	28.485769319217585	#s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
accuracy	0	(PI.f64)
accuracy	0.16796875	(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b))
accuracy	0.1796875	(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b)))
accuracy	21.890208269325424	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))))
accuracy	0.125	(.f64 (.f64 a b) a)
accuracy	0.1796875	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a)))
accuracy	0.2191899935659083	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a))
accuracy	21.890208269325424	#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	0.171875	(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a))
accuracy	0.2421875	(/.f64 (+.f64 a b) (PI.f64))
accuracy	0.8108281875058756	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) (.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b))
accuracy	4.0849259589482845	(.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)

Samples

118.0ms

256×

valid

Compiler

Compiled 592 to 101 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-div: 53.0ms (55.2% of total)

ival-mult: 34.0ms (35.4% of total)

ival-sub: 4.0ms (4.2% of total)

ival-add: 3.0ms (3.1% of total)

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

exact: 1.0ms (1% of total)

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

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

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

series44.0ms (0.5%)

Memory

2.8MiB live, 52.7MiB allocated

Counts

22 → 480

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (PI.f64) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (PI.f64) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) (.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 a b) (PI.f64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 a b) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	a	@	-inf	((* (/ 1/2 (- b a)) (- b a)) (/ 1/2 (- b a)) (- b a) (* (* (/ (+ a b) (PI)) 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)) (/ (/ 1/2 a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* a b))) (/ (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* a b)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (/ (PI) a) 1/2) (/ (PI) a) (* (* (PI) (- b a)) (/ 1/2 (* (* (+ a b) a) (* b (- b a))))) (* (PI) (- b a)) (/ (* (/ 1/2 (- b a)) (- b a)) (* (* (/ (+ a b) (PI)) a) b)) (/ (+ a b) (PI)) (* (* a b) a) (* (* (+ a b) a) (* b (- b a))) (/ 1/2 (* (* (+ a b) a) (* b (- b a)))))
4.0ms	a	@	inf	((* (/ 1/2 (- b a)) (- b a)) (/ 1/2 (- b a)) (- b a) (* (* (/ (+ a b) (PI)) 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)) (/ (/ 1/2 a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* a b))) (/ (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* a b)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (/ (PI) a) 1/2) (/ (PI) a) (* (* (PI) (- b a)) (/ 1/2 (* (* (+ a b) a) (* b (- b a))))) (* (PI) (- b a)) (/ (* (/ 1/2 (- b a)) (- b a)) (* (* (/ (+ a b) (PI)) a) b)) (/ (+ a b) (PI)) (* (* a b) a) (* (* (+ a b) a) (* b (- b a))) (/ 1/2 (* (* (+ a b) a) (* b (- b a)))))
4.0ms	b	@	-inf	((* (/ 1/2 (- b a)) (- b a)) (/ 1/2 (- b a)) (- b a) (* (* (/ (+ a b) (PI)) 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)) (/ (/ 1/2 a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* a b))) (/ (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* a b)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (/ (PI) a) 1/2) (/ (PI) a) (* (* (PI) (- b a)) (/ 1/2 (* (* (+ a b) a) (* b (- b a))))) (* (PI) (- b a)) (/ (* (/ 1/2 (- b a)) (- b a)) (* (* (/ (+ a b) (PI)) a) b)) (/ (+ a b) (PI)) (* (* a b) a) (* (* (+ a b) a) (* b (- b a))) (/ 1/2 (* (* (+ a b) a) (* b (- b a)))))
3.0ms	b	@	inf	((* (/ 1/2 (- b a)) (- b a)) (/ 1/2 (- b a)) (- b a) (* (* (/ (+ a b) (PI)) 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)) (/ (/ 1/2 a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* a b))) (/ (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* a b)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (/ (PI) a) 1/2) (/ (PI) a) (* (* (PI) (- b a)) (/ 1/2 (* (* (+ a b) a) (* b (- b a))))) (* (PI) (- b a)) (/ (* (/ 1/2 (- b a)) (- b a)) (* (* (/ (+ a b) (PI)) a) b)) (/ (+ a b) (PI)) (* (* a b) a) (* (* (+ a b) a) (* b (- b a))) (/ 1/2 (* (* (+ a b) a) (* b (- b a)))))
3.0ms	b	@	0	((* (/ 1/2 (- b a)) (- b a)) (/ 1/2 (- b a)) (- b a) (* (* (/ (+ a b) (PI)) 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)) (/ (/ 1/2 a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* a b))) (/ (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* a b)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (/ (PI) a) 1/2) (/ (PI) a) (* (* (PI) (- b a)) (/ 1/2 (* (* (+ a b) a) (* b (- b a))))) (* (PI) (- b a)) (/ (* (/ 1/2 (- b a)) (- b a)) (* (* (/ (+ a b) (PI)) a) b)) (/ (+ a b) (PI)) (* (* a b) a) (* (* (+ a b) a) (* b (- b a))) (/ 1/2 (* (* (+ a b) a) (* b (- b a)))))

simplify403.0ms (4.4%)

Memory

9.4MiB live, 117.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	628	6078
1	1896	5802
2	6240	5678
0	8375	5427

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 477

Calls

Call 1

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

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

rewrite280.0ms (3.1%)

Memory

-5.5MiB live, 244.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	254
0	77	250
1	314	248
2	2630	232
0	8193	232

Stop Event

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

Counts

22 → 700

Calls

Call 1

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

Outputs
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eval355.0ms (3.9%)

Memory: 3.8MiB live, 347.1MiB allocated
Compiler: Compiled 49 418 to 3 718 computations (92.5% saved)

prune102.0ms (1.1%)

Memory

1.6MiB live, 108.4MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1 576	6	1 582
Fresh	4	5	9
Picked	2	3	5
Done	1	2	3
Total	1 583	16	1 599

Accuracy

100.0%

Counts

1 599 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.3%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 a b) a)) (PI.f64)) b)
	92.4%	(/.f64 #s(approx (* (/ 1/2 (- b a)) (- b a)) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b))
	61.1%	(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (.f64 a b))
✓	65.6%	(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b))
	92.4%	(/.f64 #s(literal 1 binary64) (/.f64 b (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 a b) a)) (PI.f64))))
	99.7%	(.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 a b)) #s(literal 1/2 binary64))
	63.5%	(.f64 #s(approx (/ ( (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	54.2%	#s(approx (/ (* (/ 1/2 (- b a)) (- b a)) (* (* (/ (+ a b) (PI)) a) b)) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) (/.f64 #s(literal 1/2 binary64) a)))
	53.7%	#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)))
	61.0%	#s(approx (* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a b)) b) #s(literal 1/2 binary64)))
✓	59.3%	#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))
	59.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a a)))
	65.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (.f64 (.f64 (*.f64 a b) a) #s(literal 2 binary64))))
✓	59.3%	#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)))
✓	65.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))))
✓	65.4%	#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 1 738 to 569 computations (67.3% saved)

regimes62.0ms (0.7%)

Memory

-20.2MiB live, 54.3MiB allocated

Counts

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

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

Calls

3 calls:

24.0ms	a
21.0ms	(.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

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)

regimes15.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

5.0ms	a
5.0ms	b
4.0ms	(.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
94.2%	2	`b`
93.0%	2	`a`
78.0%	3	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes10.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

5.0ms	b
5.0ms	a

Results

Accuracy	Segments	Branch
93.0%	2	`a`
92.6%	2	`b`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes53.0ms (0.6%)

Memory

-31.6MiB live, 6.6MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

52.0ms

Results

Accuracy	Segments	Branch
93.0%	2	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
92.9%	2	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

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

Outputs

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

#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:

4.0ms	b
4.0ms	a

Results

Accuracy	Segments	Branch
85.2%	2	`b`
85.6%	2	`a`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

7 → 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 a 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 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) a) #s(literal 2 binary64))))
#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)))

Outputs

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
85.5%	2	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes27.0ms (0.3%)

Memory

-32.8MiB live, 11.4MiB 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 a 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 a b) a)) #s(literal 1/2 binary64)))

Calls

3 calls:

22.0ms	b
2.0ms	a
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
65.5%	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)))`
65.5%	1	`b`
65.5%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes6.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB 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
65.4%	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)))`
65.4%	1	`b`
65.4%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0%)

Memory

6.9MiB live, 6.9MiB 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	b
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

Results

Accuracy	Segments	Branch
59.3%	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)))`
59.3%	1	`b`
59.3%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch15.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.2974036419481183e-67	2.3013842376958766e-66

Samples

9.0ms

96×

valid

Compiler

Compiled 372 to 278 computations (25.3% saved)

Precisions

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

ival-div: 3.0ms (45.1% of total)

ival-mult: 2.0ms (30.1% of total)

ival-sub: 1.0ms (15% 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)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-2.9378298062602676e-62	-2.820441289712726e-62

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-2.9378298062602676e-62	-2.820441289712726e-62

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-2.9378298062602676e-62	-2.820441289712726e-62

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-2.9378298062602676e-62	-2.820441289712726e-62

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-2.9378298062602676e-62	-2.820441289712726e-62

Compiler

Compiled 24 to 20 computations (16.7% saved)

simplify42.0ms (0.5%)

Memory

-0.6MiB live, 37.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	481
1	105	481
2	109	481
3	111	481
4	112	481

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 a b)) #s(literal 1/2 binary64))
(if (<=.f64 b #s(literal 4173702698141215/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) a)) #s(literal 1/2 binary64))) (.f64 #s(approx (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(if (<=.f64 a #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (.f64 a b)))
(if (<=.f64 a #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b)) #s(approx (* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a b)) b) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b)))) #s(approx (* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a b)) b) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b)))) #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))))
(if (<=.f64 a #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a 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 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 a b) 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 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 b a)))
(if (<=.f64 b #s(literal 4173702698141215/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 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))) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(approx (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/.f64 (PI.f64) (*.f64 b a)))))
(if (<=.f64 a #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b a)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (.f64 b a)))
(if (<=.f64 a #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b a)) #s(approx (* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 b a)) (PI.f64))) #s(approx (* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 b a)) (PI.f64))) #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))))
(if (<=.f64 a #s(literal -6715941175764339/231584178474632390847141970017375815706539969331281128078915168015826259279872 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 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)) (PI.f64)))

soundness1.5s (16%)

Memory

-3.5MiB live, 1 157.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1696
1	768	1666
2	2293	1612
3	6396	1612
0	8355	1525
0	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49
0	1106	8351
1	3369	7658
0	8466	7291
0	360	6387
1	1059	5944
2	2862	5792
3	7866	5756
0	8649	5531
0	50	262
0	82	268
1	371	246
2	3845	246
0	9196	246
0	52	254
0	77	250
1	314	248
2	2630	232
0	8193	232
0	49	257
0	73	247
1	328	247
2	3069	247
0	8666	247

Stop Event

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

Compiler

Compiled 1 313 to 639 computations (51.3% saved)

preprocess61.0ms (0.7%)

Memory: 9.1MiB live, 127.0MiB allocated
Remove: (sort a b)
Compiler: Compiled 1 114 to 292 computations (73.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze161.0ms (1.8%)

sample1.4s (15.4%)

explain229.0ms (2.5%)

preprocess178.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify111.0ms (1.2%)

localize85.0ms (0.9%)

series17.0ms (0.2%)

simplify169.0ms (1.8%)

rewrite192.0ms (2.1%)

eval94.0ms (1%)

prune32.0ms (0.3%)

simplify116.0ms (1.3%)

localize169.0ms (1.8%)

series112.0ms (1.2%)

simplify473.0ms (5.2%)

rewrite299.0ms (3.3%)

eval474.0ms (5.2%)

prune105.0ms (1.1%)

simplify131.0ms (1.4%)

localize146.0ms (1.6%)

series42.0ms (0.5%)

simplify183.0ms (2%)

rewrite205.0ms (2.2%)

eval488.0ms (5.3%)

prune116.0ms (1.3%)

simplify257.0ms (2.8%)

localize185.0ms (2%)

series44.0ms (0.5%)

simplify403.0ms (4.4%)

rewrite280.0ms (3.1%)

eval355.0ms (3.9%)

prune102.0ms (1.1%)

regimes62.0ms (0.7%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes53.0ms (0.6%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes27.0ms (0.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch15.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify42.0ms (0.5%)

soundness1.5s (16%)

preprocess61.0ms (0.7%)

end0.0ms (0%)

Profiling