Details

analyze5.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
40%	25%	37.5%	0%	0%	37.5%	0%	4
66.7%	37.5%	18.7%	0%	0%	43.7%	0%	5
82.4%	43.7%	9.4%	0%	0%	46.9%	0%	6
90.9%	46.9%	4.7%	0%	0%	48.4%	0%	7
95.4%	48.4%	2.3%	0%	0%	49.2%	0%	8
97.7%	49.2%	1.2%	0%	0%	49.6%	0%	9
98.8%	49.6%	0.6%	0%	0%	49.8%	0%	10
99.4%	49.8%	0.3%	0%	0%	49.9%	0%	11
99.7%	49.9%	0.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.0s (59.3%)

Results

1.0s	8256×	body	256	valid
1.0ms	16×	body	256	invalid

Bogosity

preprocess106.0ms (6.1%)

Algorithm

2×	egg-herbie

Rules

1272×	`rational_best-simplify-2`
1068×	`rational_best-simplify-38`
914×	`rational_best-simplify-46`
778×	`rational_best-simplify-49`
718×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	19	33
2	22	33
3	30	33
4	41	33
5	52	33
6	84	33
7	122	33
8	160	33
9	282	33
10	959	33
11	1032	33
12	1093	33
13	1273	33
14	1588	33
15	1860	33
16	2300	33
17	3288	33
18	5013	33
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify102.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1272×	`rational_best-simplify-2`
1068×	`rational_best-simplify-38`
914×	`rational_best-simplify-46`
778×	`rational_best-simplify-49`
718×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	19	33
2	22	33
3	30	33
4	41	33
5	52	33
6	84	33
7	122	33
8	160	33
9	282	33
10	959	33
11	1032	33
12	1093	33
13	1273	33
14	1588	33
15	1860	33
16	2300	33
17	3288	33
18	5013	33

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

eval0.0ms (0%)

Compiler: Compiled 12 to 10 computations (16.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize19.0ms (1.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))
✓	0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

Compiler

Compiled 45 to 34 computations (24.4% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms	x	@	inf	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms	x	@	0	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms	x	@	inf	(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms	x	@	0	(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite78.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`rational_best-simplify-46`
1412×	`rational_best-simplify-49`
1012×	`rational_best-1`
1004×	`rational_best-4`
1004×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	61	42
2	106	42
3	152	42
4	266	42
5	706	42
6	4064	42
7	6586	42

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (/.f64 x (-.f64 x -1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (.f64 (/.f64 1 (-.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (.f64 (.f64 (/.f64 1 (-.f64 x -1)) 2) (-.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 x -1)) (/.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 x -1)) (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)) (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 -1 x)) (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 x -1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 -1 x)) (/.f64 1 (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (-.f64 x -1)) 2) (+.f64 -1 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (-.f64 x -1)) 2) (-.f64 1 (.f64 (/.f64 x (-.f64 x -1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2) (/.f64 (-.f64 1 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) -2) (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 x -1)) (+.f64 -1 (+.f64 x x))) (.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x (.f64 (-.f64 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 x 2)) (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 (.f64 (-.f64 1 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 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Outputs

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simplify192.0ms (11%)

Algorithm

1×	egg-herbie

Rules

1396×	`rational_best-simplify-55`
1202×	`rational_best-simplify-2`
1190×	`rational_best-simplify-1`
862×	`rational_best-simplify-51`
606×	`rational_best-simplify-45`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	329	6170
1	595	5934
2	941	5820
3	1499	5754
4	2840	4994
5	4901	4918
6	7632	4918

Stop Event

1×	node limit

Counts

162 → 269

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (-.f64 2 (.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 x))
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(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
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-1
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(+.f64 (+.f64 -1 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)) (.f64 (/.f64 x (-.f64 x -1)) 2))
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(+.f64 (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 (.f64 (-.f64 1 x) 2) -1)) (*.f64 (/.f64 1 (-.f64 x -1)) (-.f64 x 2)))
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(+.f64 (-.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2) 2) (+.f64 1 (.f64 (/.f64 x (-.f64 x -1)) 2)))
(+.f64 (-.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2) (.f64 (/.f64 x (-.f64 x -1)) 2)) (+.f64 1 (*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) -2)))
(+.f64 (-.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2) (.f64 (/.f64 1 (-.f64 x -1)) (+.f64 -1 (+.f64 x x)))) (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 x (.f64 (-.f64 1 x) 2))))
(+.f64 (-.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2) (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 x 2))) (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 -1 (.f64 (-.f64 1 x) 2))))
(+.f64 (-.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2) (+.f64 1 (.f64 (/.f64 1 (-.f64 x -1)) 2))) (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 4 (.f64 (-.f64 1 x) 2))))
(+.f64 (-.f64 1 (.f64 (/.f64 x (-.f64 x -1)) 4)) (.f64 (/.f64 x (-.f64 x -1)) 2))
(+.f64 (-.f64 1 (.f64 (/.f64 1 (-.f64 x -1)) 4)) (.f64 2 (*.f64 (/.f64 1 (-.f64 x -1)) (-.f64 2 x))))
(+.f64 (-.f64 0 (+.f64 1 (.f64 (/.f64 1 (-.f64 x -1)) 2))) (.f64 (/.f64 1 (-.f64 x -1)) 4))
(+.f64 (-.f64 0 (.f64 4 (/.f64 1 (-.f64 -1 x)))) (neg.f64 (+.f64 1 (.f64 (/.f64 1 (-.f64 x -1)) 2))))
(+.f64 (-.f64 (/.f64 1 (-.f64 x -1)) (.f64 (/.f64 x (-.f64 x -1)) 4)) (.f64 (/.f64 x (-.f64 x -1)) 3))
(+.f64 (-.f64 (/.f64 x (-.f64 x -1)) (.f64 (/.f64 x (-.f64 x -1)) 4)) (.f64 (/.f64 1 (-.f64 x -1)) (+.f64 1 (+.f64 x x))))
(-.f64 1 (*.f64 (/.f64 x (-.f64 x -1)) 2))
(-.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 0)
(-.f64 0 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(-.f64 -1 (*.f64 (/.f64 1 (-.f64 x -1)) -2))
(-.f64 -1 (.f64 (.f64 (/.f64 1 (-.f64 x -1)) 2) (-.f64 (+.f64 x -1) x)))
(-.f64 (/.f64 1 (-.f64 x -1)) (/.f64 x (-.f64 x -1)))
(-.f64 (/.f64 x (-.f64 x -1)) (*.f64 (/.f64 1 (-.f64 x -1)) (+.f64 -1 (+.f64 x x))))
(-.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)) (*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) -2))
(-.f64 (/.f64 1 (-.f64 -1 x)) (*.f64 (/.f64 1 (-.f64 x -1)) (-.f64 x 2)))
(-.f64 (*.f64 (/.f64 1 (-.f64 x -1)) 2) 1)
(-.f64 (/.f64 x (-.f64 -1 x)) (/.f64 1 (-.f64 -1 x)))
(-.f64 2 (+.f64 1 (*.f64 (/.f64 x (-.f64 x -1)) 2)))
(-.f64 (.f64 (/.f64 x (-.f64 x -1)) 2) (+.f64 1 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) -2)))
(-.f64 (.f64 (/.f64 x (-.f64 x -1)) 2) (-.f64 (.f64 (/.f64 x (-.f64 x -1)) 4) 1))
(-.f64 (.f64 (/.f64 x (-.f64 x -1)) 2) (+.f64 (/.f64 x (-.f64 x -1)) (.f64 (/.f64 1 (-.f64 x -1)) (+.f64 -1 (+.f64 x x)))))
(-.f64 (*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2) (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(-.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) -2) (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) -3))
(-.f64 (.f64 (/.f64 1 (-.f64 x -1)) (+.f64 -1 (+.f64 x x))) (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 x (*.f64 (-.f64 1 x) 2))))
(-.f64 (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 x 2)) (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 -1 (*.f64 (-.f64 1 x) 2))))
(-.f64 (.f64 (/.f64 1 (-.f64 x -1)) -2) (-.f64 -1 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)))
(-.f64 (.f64 (/.f64 1 (-.f64 x -1)) -2) (/.f64 (+.f64 1 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)) -1))
(-.f64 (.f64 (/.f64 1 (-.f64 x -1)) -2) (+.f64 (/.f64 1 (-.f64 -1 x)) (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 x 2))))
(-.f64 (*.f64 (/.f64 x (-.f64 x -1)) -2) -1)
(-.f64 (*.f64 (/.f64 1 (-.f64 x -1)) (-.f64 1 (+.f64 x x))) (/.f64 x (-.f64 -1 x)))
(-.f64 (*.f64 (/.f64 1 (-.f64 x -1)) (-.f64 2 x)) (/.f64 1 (-.f64 x -1)))
(-.f64 (.f64 (/.f64 1 (-.f64 x -1)) 4) (+.f64 1 (.f64 (/.f64 1 (-.f64 x -1)) 2)))
(-.f64 (+.f64 1 (*.f64 (/.f64 1 (-.f64 x -1)) 2)) 2)
(-.f64 (+.f64 1 (.f64 (/.f64 1 (-.f64 x -1)) 2)) (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 4 (*.f64 (-.f64 1 x) 2))))
(-.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) -3) (-.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) -2) (*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)))
(-.f64 (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 -1 (.f64 (-.f64 1 x) 2))) (-.f64 (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 x 2)) (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)))
(-.f64 (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 x (.f64 (-.f64 1 x) 2))) (-.f64 (.f64 (/.f64 1 (-.f64 x -1)) (+.f64 -1 (+.f64 x x))) (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)))
(-.f64 (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 4 (.f64 (-.f64 1 x) 2))) (-.f64 (+.f64 1 (.f64 (/.f64 1 (-.f64 x -1)) 2)) (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)))
(-.f64 (+.f64 1 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) -2)) (-.f64 (.f64 (/.f64 x (-.f64 x -1)) 2) (*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)))
(-.f64 (+.f64 1 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)) (.f64 (/.f64 1 (-.f64 x -1)) 2))
(-.f64 -2 (neg.f64 (+.f64 1 (*.f64 (/.f64 1 (-.f64 x -1)) 2))))
(-.f64 (.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x (.f64 (-.f64 1 x) -2))) (*.f64 (/.f64 1 (-.f64 x -1)) (-.f64 1 (+.f64 x x))))
(-.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 3) (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2))
(-.f64 (.f64 (.f64 (/.f64 1 (-.f64 x -1)) 2) (-.f64 x (+.f64 x -1))) 1)
(-.f64 (.f64 (.f64 (/.f64 1 (-.f64 x -1)) 2) (-.f64 (+.f64 x -1) x)) (-.f64 -1 (*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)))
(-.f64 (neg.f64 (+.f64 1 (.f64 (/.f64 1 (-.f64 x -1)) 2))) (.f64 4 (/.f64 1 (-.f64 -1 x))))
(-.f64 (+.f64 1 (.f64 (/.f64 x (-.f64 x -1)) 2)) (.f64 (/.f64 x (-.f64 x -1)) 4))
(-.f64 (+.f64 1 (.f64 (/.f64 x (-.f64 x -1)) 2)) (-.f64 2 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)))
(-.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 4) (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 3))
(-.f64 (.f64 2 (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 2 x))) (-.f64 (*.f64 (/.f64 1 (-.f64 x -1)) 4) 1))
(-.f64 (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 (.f64 (-.f64 1 x) 2) -1)) (*.f64 (/.f64 1 (-.f64 x -1)) (-.f64 2 x)))
(-.f64 (.f64 (/.f64 1 (-.f64 x -1)) (+.f64 1 (+.f64 x x))) (-.f64 (.f64 (/.f64 x (-.f64 x -1)) 4) (/.f64 x (-.f64 x -1))))
(-.f64 (.f64 (/.f64 x (-.f64 x -1)) 3) (-.f64 (.f64 (/.f64 x (-.f64 x -1)) 4) (/.f64 1 (-.f64 x -1))))
(-.f64 (.f64 (/.f64 1 (-.f64 x -1)) (/.f64 1 (-.f64 x -1))) (.f64 (/.f64 x (-.f64 -1 x)) (/.f64 x (-.f64 -1 x))))
(-.f64 (/.f64 (.f64 (/.f64 x (-.f64 x -1)) 4) -1) (/.f64 (+.f64 1 (.f64 (/.f64 x (-.f64 x -1)) 2)) -1))
(-.f64 (/.f64 (.f64 4 (/.f64 1 (-.f64 -1 x))) -1) (/.f64 (neg.f64 (+.f64 1 (.f64 (/.f64 1 (-.f64 x -1)) 2))) -1))
(-.f64 (+.f64 (.f64 (/.f64 x (-.f64 x -1)) -2) (.f64 (/.f64 x (-.f64 x -1)) -2)) (+.f64 -1 (*.f64 (/.f64 x (-.f64 x -1)) -2)))
(-.f64 (+.f64 (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 2 x)) (.f64 (/.f64 1 (-.f64 x -1)) (-.f64 2 x))) (+.f64 (/.f64 1 (-.f64 x -1)) (*.f64 (/.f64 1 (-.f64 x -1)) (-.f64 2 x))))
(-.f64 (+.f64 (.f64 (/.f64 1 (-.f64 x -1)) 4) (.f64 (/.f64 1 (-.f64 x -1)) 4)) (+.f64 (.f64 (/.f64 1 (-.f64 x -1)) 4) (+.f64 1 (.f64 (/.f64 1 (-.f64 x -1)) 2))))
(*.f64 1 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 (-.f64 1 x) (/.f64 1 (-.f64 x -1)))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 1)
(*.f64 -1 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(*.f64 (/.f64 1 (-.f64 x -1)) (-.f64 1 x))
(.f64 (/.f64 1 (-.f64 x -1)) (-.f64 (+.f64 x -1) (.f64 (-.f64 1 x) -2)))
(*.f64 (/.f64 1 (-.f64 x -1)) (-.f64 x (+.f64 -1 (+.f64 x x))))
(*.f64 (/.f64 1 (-.f64 x -1)) (-.f64 4 (+.f64 2 (-.f64 x -1))))
(*.f64 (/.f64 1 (-.f64 x -1)) (+.f64 x (-.f64 1 (+.f64 x x))))
(*.f64 (+.f64 x -1) (/.f64 1 (-.f64 -1 x)))
(*.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)) -1)
(*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))
(.f64 (/.f64 1 (-.f64 -1 x)) (-.f64 (.f64 (-.f64 1 x) -2) (+.f64 x -1)))
(.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 (-.f64 1 x) (.f64 (-.f64 1 x) -2)))
(.f64 (-.f64 x -1) (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) (/.f64 1 (-.f64 x -1))))
(.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) (/.f64 1 (-.f64 x -1))) (-.f64 x -1))
(pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 1)
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))

Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(neg.f64 (+.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/2 (pow.f64 x 2)) 1))
(+.f64 (neg.f64 x) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (neg.f64 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (neg.f64 (+.f64 -1 x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 1 x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 (+.f64 (.f64 -1 x) (.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))
(+.f64 (+.f64 (neg.f64 x) (.f64 1/2 (pow.f64 x 2))) (+.f64 1 (.f64 -1/2 (pow.f64 x 3))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (neg.f64 x) (.f64 -1/2 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (-.f64 1 x)))
(sqrt.f64 -1)
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1
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(.f64 (.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) (/.f64 1 (-.f64 x -1))) (-.f64 x -1))
(+.f64 1 (*.f64 -2 (/.f64 x (+.f64 1 x))))
(+.f64 -1 (/.f64 2 (+.f64 1 x)))
(pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 1)
(+.f64 1 (*.f64 -2 (/.f64 x (+.f64 1 x))))
(+.f64 -1 (/.f64 2 (+.f64 1 x)))
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(+.f64 1 (*.f64 -2 (/.f64 x (+.f64 1 x))))
(+.f64 -1 (/.f64 2 (+.f64 1 x)))

eval108.0ms (6.2%)

Compiler: Compiled 6249 to 5260 computations (15.8% saved)

prune41.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	267	2	269
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	267	3	270

Error

Counts

270 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	0.0b	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶	0.7b	(*.f64 2 (atan.f64 1))

Compiler

Compiled 24 to 21 computations (12.5% saved)

localize4.0ms (0.2%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize7.0ms (0.4%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	0.0b	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓	0.7b	(*.f64 2 (atan.f64 1))

Compiler

Compiled 24 to 21 computations (12.5% saved)

regimes13.0ms (0.7%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Calls

5 calls:

3.0ms	x
3.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
2.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))`
0.0b	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))`
0.0b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))`
0.0b	1	`(/.f64 (-.f64 1 x) (+.f64 1 x))`

Compiler

Compiled 63 to 51 computations (19% saved)

regimes3.0ms (0.2%)

Accuracy

Total -0.5b remaining (-240.5%)

Threshold costs -0.5b (-240.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))

Outputs
(*.f64 2 (atan.f64 (-.f64 1 x)))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	61

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))

Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))

Compiler

Compiled 24 to 21 computations (12.5% saved)

soundness0.0ms (0%)

end22.0ms (1.3%)

Compiler: Compiled 22 to 19 computations (13.6% saved)

Details

analyze5.0ms (0.3%)

sample1.0s (59.3%)

preprocess106.0ms (6.1%)

simplify102.0ms (5.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize19.0ms (1.1%)

series2.0ms (0.1%)

rewrite78.0ms (4.5%)

simplify192.0ms (11%)

eval108.0ms (6.2%)

prune41.0ms (2.4%)

localize4.0ms (0.2%)

localize7.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes13.0ms (0.7%)

regimes3.0ms (0.2%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end22.0ms (1.3%)

Profiling