Details

analyze8.0ms (0.2%)

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)

sample992.0ms (26.5%)

Results

980.0ms	8256×	body	256	valid
1.0ms	11×	body	256	invalid

Bogosity

preprocess50.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

396×	`fma-neg_binary64`
375×	`fma-def_binary64`
264×	`div-sub_binary64`
121×	`times-frac_binary64`
100×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	35	17
4	58	17
5	82	17
6	119	17
7	191	17
8	357	17
9	584	17
10	796	17
11	1157	17
12	1548	17
13	1958	17
14	2199	17
0	1	1

Stop Event

1×	saturated
1×	saturated

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

396×	`fma-neg_binary64`
375×	`fma-def_binary64`
264×	`div-sub_binary64`
121×	`times-frac_binary64`
100×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	35	17
4	58	17
5	82	17
6	119	17
7	191	17
8	357	17
9	584	17
10	796	17
11	1157	17
12	1548	17
13	1958	17
14	2199	17

Stop Event

1×

saturated

Counts

1 → 2

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

eval1.0ms (0%)

Compiler: Compiled 23 to 19 computations (17.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 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 x -1)))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize18.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 46 to 35 computations (23.9% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite105.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`log-prod_binary64`
332×	`exp-prod_binary64`
331×	`prod-diff_binary64`
259×	`pow-prod-down_binary64`
241×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	196	24
2	2644	24

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

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

Outputs
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Outputs

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fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (/.f64 x (+.f64 1 x))))))))

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simplify102.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

507×	`distribute-rgt-in_binary64`
417×	`unswap-sqr_binary64`
316×	`times-frac_binary64`
192×	`sqr-pow_binary64`
187×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	466	4294974546
1	1149	5906
2	3700	3153

Stop Event

1×	node limit

Counts

183 → 257

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(+.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)
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (+.f64 1 x))))
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)) (neg.f64 (.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))))
(+.f64 (fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))))
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(+.f64 (fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 x (+.f64 (pow.f64 x 3) 1))))) (fma.f64 (neg.f64 (fma.f64 x x (-.f64 1 x))) (/.f64 x (+.f64 (pow.f64 x 3) 1)) (.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 x (+.f64 (pow.f64 x 3) 1)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (+.f64 x -1) (/.f64 x (fma.f64 x x -1))))) (fma.f64 (neg.f64 (+.f64 x -1)) (/.f64 x (fma.f64 x x -1)) (.f64 (+.f64 x -1) (/.f64 x (fma.f64 x x -1)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (+.f64 x -1) (/.f64 x (fma.f64 x x -1))))) (fma.f64 (neg.f64 (+.f64 x -1)) (/.f64 x (fma.f64 x x -1)) (.f64 (+.f64 x -1) (/.f64 x (fma.f64 x x -1)))))
(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (.f64 (+.f64 x -1) (/.f64 x (fma.f64 x x -1))))) (fma.f64 (neg.f64 (+.f64 x -1)) (/.f64 x (fma.f64 x x -1)) (.f64 (+.f64 x -1) (/.f64 x (fma.f64 x x -1)))))
(+.f64 (fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)) (neg.f64 (.f64 (+.f64 x -1) (/.f64 x (fma.f64 x x -1))))) (fma.f64 (neg.f64 (+.f64 x -1)) (/.f64 x (fma.f64 x x -1)) (.f64 (+.f64 x -1) (/.f64 x (fma.f64 x x -1)))))
(+.f64 (fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (.f64 (+.f64 x -1) (/.f64 x (fma.f64 x x -1))))) (fma.f64 (neg.f64 (+.f64 x -1)) (/.f64 x (fma.f64 x x -1)) (.f64 (+.f64 x -1) (/.f64 x (fma.f64 x x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4))
(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x -1 -1)))
(*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 5/6) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 2/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 6)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 4)
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(neg.f64 (/.f64 (-.f64 1 x) (fma.f64 x -1 -1)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(exp.f64 (.f64 (.f64 2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2) 2))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 2))
(exp.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log1p.f64 x) 1)))
(exp.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 x)) 1) (.f64 (log1p.f64 x) 1)))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (E.f64) (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1))

Outputs
1
(+.f64 1 (*.f64 -2 x))
(fma.f64 -2 x 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(fma.f64 2 (.f64 x x) (+.f64 1 (.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 1))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (.f64 x x) (+.f64 1 (.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 -1 (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))) -1))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 -1 (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))) -1))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 1 (.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (+.f64 1 x))))
(+.f64 (.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (neg.f64 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)))) (.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x (-.f64 1 x))))
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (.f64 (/.f64 x (+.f64 1 x)) 1)))
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(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 6)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 4)
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(pow.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) 1/3)
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(pow.f64 (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1) -1)
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(neg.f64 (/.f64 (-.f64 1 x) (fma.f64 x -1 -1)))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -1)
(exp.f64 (neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) 1))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2) 2))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 2))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log1p.f64 x)))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log1p.f64 x) 1)))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 x)) 1) (.f64 (log1p.f64 x) 1)))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (+.f64 (/.f64 (neg.f64 x) (+.f64 1 x)) (/.f64 x (+.f64 1 x))) (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)) (/.f64 (neg.f64 x) (+.f64 1 x))))
(+.f64 (.f64 (/.f64 x (+.f64 1 x)) 0) (-.f64 (/.f64 (.f64 1 (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 x (-.f64 -1 x)) (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (+.f64 (/.f64 (neg.f64 x) (+.f64 1 x)) (/.f64 x (+.f64 1 x))) (fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (/.f64 (neg.f64 x) (+.f64 1 x))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 x)) 0) (-.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1)) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 x (-.f64 -1 x)) (/.f64 (+.f64 x -1) (fma.f64 x x -1)))
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

eval143.0ms (3.8%)

Compiler: Compiled 8204 to 6085 computations (25.8% saved)

prune38.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	253	4	257
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	253	5	258

Error

Counts

258 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 2 (atan.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))))
✓	0.0b	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
▶	0.0b	(.f64 2 (atan.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1 x) (+.f64 x -1)) (fma.f64 x x -1)))))
▶	1.5b	(.f64 2 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))
▶	2.3b	(*.f64 2 (atan.f64 (sqrt.f64 1)))

Compiler

Compiled 60 to 51 computations (15% saved)

localize6.0ms (0.2%)

Compiler: Compiled 13 to 13 computations (0% saved)

localize15.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
✓	0.0b	(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))

Compiler

Compiled 35 to 29 computations (17.1% saved)

series3.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
1.0ms	x	@	-inf	(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
0.0ms	x	@	0	(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
0.0ms	x	@	0	(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
0.0ms	x	@	inf	(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))

rewrite47.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`pow1_binary64`
691×	`add-log-exp_binary64`
691×	`log1p-expm1-u_binary64`
691×	`expm1-log1p-u_binary64`
677×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	162	16
2	1908	16

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (fma.f64 -2 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -2 x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) (cbrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 -2 x 1) 1/4) (pow.f64 (fma.f64 -2 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (.f64 -8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 4 (.f64 x x)) (.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x)))) (sqrt.f64 (+.f64 1 (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 -2 x)) 1/2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (fma.f64 -2 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) (cbrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) (pow.f64 (fma.f64 -2 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (*.f64 -8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 4 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -2 x)) 1/2))))))

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

654×	`fma-def_binary64`
383×	`fma-neg_binary64`
371×	`log-prod_binary64`
287×	`exp-prod_binary64`
273×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	604
1	229	510
2	658	457
3	2854	437
4	6526	437

Stop Event

1×	node limit

Counts

47 → 74

Calls

Call 1

Inputs
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
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))))
(-.f64 (+.f64 1 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(*.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 1)
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 1)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3) 1/3)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 3)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 -2 x 1))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 -2 x 1)))
(*.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)
(*.f64 (cbrt.f64 (fma.f64 -2 x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) (cbrt.f64 (fma.f64 -2 x 1)))
(*.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) (pow.f64 (fma.f64 -2 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -2 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -2 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (.f64 -8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 4 (.f64 x x)) (.f64 2 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(pow.f64 (fma.f64 -2 x 1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)
(pow.f64 (pow.f64 (fma.f64 -2 x 1) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3)
(pow.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(cbrt.f64 (pow.f64 (fma.f64 -2 x 1) 3/2))
(hypot.f64 1 (sqrt.f64 (*.f64 -2 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(exp.f64 (.f64 (log1p.f64 (.f64 -2 x)) 1/2))

Outputs
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(atan.f64 (sqrt.f64 (-.f64 1 (*.f64 2 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (.f64 x (.f64 x -1/2)) x))
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x -1/2 -1) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 (.f64 -1/2 (+.f64 (pow.f64 x 3) (.f64 x x))) (-.f64 1 x))
(fma.f64 -1/2 (+.f64 (pow.f64 x 3) (*.f64 x x)) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 -1/2)) 1) x)
(-.f64 (+.f64 1 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 1)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(*.f64 1 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(*.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 1)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 1)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3) 1/3)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 3)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 2)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 2))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -2))))
(atan.f64 (sqrt.f64 (fma.f64 x -2 1)))
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 -2 x 1))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x -2 1)) 0)
(sqrt.f64 (fma.f64 x -2 1))
(*.f64 1 (sqrt.f64 (fma.f64 -2 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x -2 1)) 0)
(sqrt.f64 (fma.f64 x -2 1))
(*.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x -2 1)) 0)
(sqrt.f64 (fma.f64 x -2 1))
(*.f64 (cbrt.f64 (fma.f64 -2 x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(*.f64 (cbrt.f64 (fma.f64 x -2 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x -2 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) (cbrt.f64 (fma.f64 -2 x 1)))
(*.f64 (cbrt.f64 (fma.f64 -2 x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(*.f64 (cbrt.f64 (fma.f64 x -2 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x -2 1))))
(*.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) (pow.f64 (fma.f64 -2 x 1) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x -2 1)) 0)
(sqrt.f64 (fma.f64 x -2 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -2 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x -2 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x -2 1))))
(*.f64 (cbrt.f64 (fma.f64 x -2 1)) (sqrt.f64 (cbrt.f64 (fma.f64 x -2 1))))
(pow.f64 (cbrt.f64 (fma.f64 x -2 1)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -2 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x -2 1)) 0)
(sqrt.f64 (fma.f64 x -2 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -2 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x -2 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x -2 1))))
(*.f64 (cbrt.f64 (fma.f64 x -2 1)) (sqrt.f64 (cbrt.f64 (fma.f64 x -2 1))))
(pow.f64 (cbrt.f64 (fma.f64 x -2 1)) 3/2)
(/.f64 (sqrt.f64 (+.f64 1 (.f64 -8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 4 (.f64 x x)) (.f64 2 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 x 3) -8))) (sqrt.f64 (+.f64 1 (fma.f64 4 (.f64 x x) (*.f64 2 x)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 1)) (sqrt.f64 (+.f64 1 (.f64 x (+.f64 2 (.f64 x 4))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 2) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(/.f64 (sqrt.f64 (+.f64 1 (.f64 -4 (.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(/.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) -4))) (sqrt.f64 (fma.f64 2 x 1)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1)) (sqrt.f64 (fma.f64 2 x 1)))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -4) 1)) (sqrt.f64 (fma.f64 2 x 1)))
(pow.f64 (fma.f64 -2 x 1) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x -2 1)) 0)
(sqrt.f64 (fma.f64 x -2 1))
(pow.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x -2 1)) 0)
(sqrt.f64 (fma.f64 x -2 1))
(pow.f64 (pow.f64 (fma.f64 -2 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 -2 x 1) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 x -2 1) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x -2 1)) 0)
(sqrt.f64 (fma.f64 x -2 1))
(pow.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x -2 1)) 0)
(sqrt.f64 (fma.f64 x -2 1))
(fabs.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x -2 1)) 0)
(sqrt.f64 (fma.f64 x -2 1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x -2 1)) 0)
(sqrt.f64 (fma.f64 x -2 1))
(cbrt.f64 (pow.f64 (fma.f64 -2 x 1) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 x -2 1) 3/2))
(hypot.f64 1 (sqrt.f64 (*.f64 -2 x)))
(hypot.f64 1 (sqrt.f64 (*.f64 x -2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x -2 1)) 0)
(sqrt.f64 (fma.f64 x -2 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x -2 1)) 0)
(sqrt.f64 (fma.f64 x -2 1))
(exp.f64 (.f64 (log1p.f64 (.f64 -2 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x -2))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 x -2))))

localize30.0ms (0.8%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 77 to 54 computations (29.9% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite63.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`log-prod_binary64`
417×	`prod-diff_binary64`
301×	`pow2_binary64`
211×	`pow1/3_binary64`
209×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	241	34
2	3479	34

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (neg.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 1 x)) (*.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 x)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 1 x)) 1) (*.f64 (neg.f64 (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (-.f64 1 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 (fma.f64 x x 1) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 1 x) (-.f64 (fma.f64 x x 1) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x -1)) (pow.f64 (+.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1 x)) 3) (pow.f64 (neg.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1 x)) 2) (-.f64 (pow.f64 (neg.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 x (-.f64 1 x)) (neg.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1 x)) 2) (pow.f64 (neg.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 x (-.f64 1 x)) (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x -1)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 1 x)) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (-.f64 1 x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (fma.f64 x x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (-.f64 1 x))) (exp.f64 (*.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1) (*.f64 (neg.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1) (*.f64 (+.f64 x -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (-.f64 1 x)) (*.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 1 x)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1 x) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule 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simplify78.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

516×	`div-sub_binary64`
283×	`distribute-rgt-neg-out_binary64`
224×	`distribute-lft-neg-out_binary64`
222×	`fma-neg_binary64`
183×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	3140
1	1092	2902
2	4004	2881

Stop Event

1×	node limit

Counts

198 → 261

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2))) 1)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2))) 1)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2))) 1)
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))

Outputs
-1
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) -1)
(fma.f64 2 x (fma.f64 -1 (*.f64 x x) -1))
(fma.f64 2 x (fma.f64 x (neg.f64 x) -1))
(-.f64 (+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) -1)
(fma.f64 2 x (fma.f64 -1 (*.f64 x x) -1))
(fma.f64 2 x (fma.f64 x (neg.f64 x) -1))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (.f64 2 x) (.f64 x x))
(-.f64 (+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) -1)
(fma.f64 2 x (fma.f64 -1 (*.f64 x x) -1))
(fma.f64 2 x (fma.f64 x (neg.f64 x) -1))
(-.f64 (+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) -1)
(fma.f64 2 x (fma.f64 -1 (*.f64 x x) -1))
(fma.f64 2 x (fma.f64 x (neg.f64 x) -1))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (.f64 2 x) (.f64 x x))
(-.f64 (+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) -1)
(fma.f64 2 x (fma.f64 -1 (*.f64 x x) -1))
(fma.f64 2 x (fma.f64 x (neg.f64 x) -1))
(-.f64 (+.f64 (.f64 2 x) (.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) -1)
(fma.f64 2 x (fma.f64 -1 (*.f64 x x) -1))
(fma.f64 2 x (fma.f64 x (neg.f64 x) -1))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(fma.f64 2 (.f64 x x) (+.f64 1 (.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (.f64 x x) (+.f64 1 (.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 -2 (*.f64 x x)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 -2 (*.f64 x x)))))
(atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x -1) (-.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 -1 x) 2)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) 4)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x -1) (-.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 -1 x) 2)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) 4)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x -1) (-.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 -1 x) 2)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) 4)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x -1) (-.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 -1 x) 2)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) 4)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x -1) (-.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 -1 x) 2)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) 4)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x -1) (-.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 -1 x) 2)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) 4)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x -1) (-.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 -1 x) 2)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) 4)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x -1) (-.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 -1 x) 2)) (fma.f64 x x -1))))
(atan.f64 (sqrt.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) 4)) (fma.f64 x x -1))))
(atan.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 1 (*.f64 -1 x))) (sqrt.f64 (/.f64 1 (fma.f64 x x -1)))))
(atan.f64 (.f64 (sqrt.f64 -1) (.f64 (-.f64 1 x) (sqrt.f64 (/.f64 1 (fma.f64 x x -1))))))
(atan.f64 (.f64 (.f64 (-.f64 1 x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (fma.f64 x x -1)))))
(atan.f64 (.f64 (-.f64 1 x) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (fma.f64 x x -1))))))
(atan.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 1 (*.f64 -1 x))) (sqrt.f64 (/.f64 1 (fma.f64 x x -1)))))
(atan.f64 (.f64 (sqrt.f64 -1) (.f64 (-.f64 1 x) (sqrt.f64 (/.f64 1 (fma.f64 x x -1))))))
(atan.f64 (.f64 (.f64 (-.f64 1 x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (fma.f64 x x -1)))))
(atan.f64 (.f64 (-.f64 1 x) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (fma.f64 x x -1))))))
(atan.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 1 (*.f64 -1 x))) (sqrt.f64 (/.f64 1 (fma.f64 x x -1)))))
(atan.f64 (.f64 (sqrt.f64 -1) (.f64 (-.f64 1 x) (sqrt.f64 (/.f64 1 (fma.f64 x x -1))))))
(atan.f64 (.f64 (.f64 (-.f64 1 x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (fma.f64 x x -1)))))
(atan.f64 (.f64 (-.f64 1 x) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (fma.f64 x x -1))))))
(atan.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 1 (*.f64 -1 x))) (sqrt.f64 (/.f64 1 (fma.f64 x x -1)))))
(atan.f64 (.f64 (sqrt.f64 -1) (.f64 (-.f64 1 x) (sqrt.f64 (/.f64 1 (fma.f64 x x -1))))))
(atan.f64 (.f64 (.f64 (-.f64 1 x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (fma.f64 x x -1)))))
(atan.f64 (.f64 (-.f64 1 x) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (fma.f64 x x -1))))))
(+.f64 (+.f64 x -1) (*.f64 (neg.f64 x) (+.f64 x -1)))
(*.f64 (-.f64 1 x) (+.f64 -1 x))
(neg.f64 (pow.f64 (+.f64 -1 x) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 x) 4))
(+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) (neg.f64 x)))
(*.f64 (-.f64 1 x) (+.f64 -1 x))
(neg.f64 (pow.f64 (+.f64 -1 x) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 x) 4))
(+.f64 0 (*.f64 (-.f64 1 x) (+.f64 x -1)))
(*.f64 (-.f64 1 x) (+.f64 -1 x))
(neg.f64 (pow.f64 (+.f64 -1 x) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 x) 4))
(+.f64 (neg.f64 (-.f64 1 x)) (*.f64 x (-.f64 1 x)))
(*.f64 (-.f64 1 x) (+.f64 -1 x))
(neg.f64 (pow.f64 (+.f64 -1 x) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 x) 4))
(+.f64 (*.f64 x (-.f64 1 x)) (neg.f64 (-.f64 1 x)))
(*.f64 (-.f64 1 x) (+.f64 -1 x))
(neg.f64 (pow.f64 (+.f64 -1 x) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 x) 4))
(+.f64 (.f64 (.f64 x (-.f64 1 x)) 1) (*.f64 (neg.f64 (-.f64 1 x)) 1))
(*.f64 (-.f64 1 x) (+.f64 -1 x))
(neg.f64 (pow.f64 (+.f64 -1 x) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 x) 4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (-.f64 1 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 x)) (-.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 x)) (-.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 (+.f64 -1 x) 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) 4))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (-.f64 1 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (-.f64 1 x)))))
(*.f64 (-.f64 1 x) (+.f64 -1 x))
(neg.f64 (pow.f64 (+.f64 -1 x) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 x) 4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)))) 1)
(*.f64 (-.f64 1 x) (+.f64 -1 x))
(neg.f64 (pow.f64 (+.f64 -1 x) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 x) 4))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3))) (.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 (fma.f64 x x 1) (neg.f64 x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 1 x) (-.f64 (fma.f64 x x 1) (neg.f64 x))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(.f64 (/.f64 (-.f64 1 (.f64 x x)) (*.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 x 1))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 x x -1)) (.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 x)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(.f64 (/.f64 (-.f64 1 (.f64 x x)) (*.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 x 1))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (fma.f64 x x -1)) (pow.f64 (+.f64 1 x) 2))
(/.f64 (fma.f64 x x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 (fma.f64 x x -1) (pow.f64 (+.f64 x 1) 2)) (-.f64 1 (.f64 x x)))
(*.f64 (/.f64 (fma.f64 x x -1) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x (neg.f64 x) 1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))) (.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (.f64 (fma.f64 x x -1) (-.f64 1 (pow.f64 x 3))) (.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(.f64 (/.f64 (-.f64 1 (.f64 x x)) (*.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 x 1))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 1 (.f64 x x))) (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (+.f64 1 x)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(.f64 (/.f64 (-.f64 1 (.f64 x x)) (*.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 x 1))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (.f64 (fma.f64 x x -1) (-.f64 1 (.f64 x x))) (pow.f64 (+.f64 1 x) 2))
(/.f64 (fma.f64 x x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x))))
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(/.f64 (-.f64 1 x) (+.f64 x 1))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (fma.f64 x x -1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (+.f64 -1 x)) 3) (pow.f64 (fma.f64 x x -1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 (+.f64 -1 x) 2)) 3) (pow.f64 (fma.f64 x x -1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) 4)) 3) (pow.f64 (fma.f64 x x -1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 x 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 x 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (-.f64 1 x) (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (-.f64 1 x) (exp.f64 (log1p.f64 x)))
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))

localize30.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(atan.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)))
✓	0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))
✓	0.0b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
✓	0.1b	(cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

Compiler

Compiled 73 to 58 computations (20.5% saved)

series9.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
2.0ms	x	@	inf	(cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
1.0ms	x	@	-inf	(cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms	x	@	0	(cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

rewrite95.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`log-prod_binary64`
311×	`prod-diff_binary64`
296×	`pow-prod-down_binary64`
262×	`pow2_binary64`
194×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	243	46
2	2900	46

Stop Event

1×	node limit

Counts

4 → 340

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(atan.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (exp.f64 (.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (-.f64 1 x))) (cbrt.f64 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (.f64 1/3 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (.f64 (/.f64 x (+.f64 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) 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simplify189.0ms (5%)

Algorithm

1×	egg-herbie

Rules

295×	`fma-def_binary64`
290×	`exp-prod_binary64`
288×	`associate-l_binary64`
287×	`fma-neg_binary64`
270×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	722	8589948895
1	1906	11062
2	6908	10316

Stop Event

1×	node limit

Counts

388 → 402

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -2/3 x))
(+.f64 1 (+.f64 (.f64 -2/3 x) (.f64 2/9 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -2/3 x) (+.f64 (.f64 2/9 (pow.f64 x 2)) (*.f64 -22/81 (pow.f64 x 3)))))
(cbrt.f64 -1)
(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 -1))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (.f64 -1/3 (/.f64 (+.f64 2 (.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (+.f64 (.f64 1/3 (/.f64 (-.f64 2 (+.f64 (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (.f64 -1/3 (/.f64 (+.f64 2 (.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))))
(cbrt.f64 -1)
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1
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1
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(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1)) (/.f64 x (+.f64 1 (pow.f64 x 3))) (.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3))))))
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (neg.f64 (.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1)) (/.f64 x (+.f64 1 (pow.f64 x 3))) (.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3))))))
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(+.f64 (fma.f64 1 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 x (-.f64 1 (.f64 x x))) (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (*.f64 x x))))))
(+.f64 (fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (neg.f64 (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 x (-.f64 1 (.f64 x x))) (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (*.f64 x x))))))
(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 x (-.f64 1 (.f64 x x))) (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (*.f64 x x))))))
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(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x) (neg.f64 (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (.f64 x x)))))) (fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 x (-.f64 1 (.f64 x x))) (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (.f64 x x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 x (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (-.f64 1 x) (exp.f64 (neg.f64 (log1p.f64 x))))
(.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (exp.f64 (.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(.f64 (exp.f64 (.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (exp.f64 (.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (.f64 (cbrt.f64 (-.f64 1 x)) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 5/6))
(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 -1 x -1)))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))))
(.f64 (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(.f64 (.f64 (exp.f64 (*.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 5/6) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 2/3)
(pow.f64 (exp.f64 (*.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 9)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 4)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 6)
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1) -1)
(neg.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(exp.f64 (.f64 (.f64 2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3/2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1))
(exp.f64 (.f64 (.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 3))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3/2) 2))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2) 2))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 2))
(fma.f64 1 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1))

Outputs
1
(+.f64 1 (*.f64 -2/3 x))
(fma.f64 -2/3 x 1)
(+.f64 1 (+.f64 (.f64 -2/3 x) (.f64 2/9 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -2/3 x (.f64 2/9 (.f64 x x))))
(+.f64 (fma.f64 -2/3 x 1) (.f64 x (.f64 x 2/9)))
(+.f64 1 (+.f64 (.f64 -2/3 x) (+.f64 (.f64 2/9 (pow.f64 x 2)) (*.f64 -22/81 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 -2/3 x (fma.f64 2/9 (.f64 x x) (.f64 -22/81 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2/3 x 1) (fma.f64 2/9 (.f64 x x) (.f64 -22/81 (pow.f64 x 3))))
(cbrt.f64 -1)
(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 -1))
(fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1))
(fma.f64 2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (.f64 -1/3 (/.f64 (+.f64 2 (.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1)) (.f64 -1/3 (/.f64 (+.f64 2 (.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (fma.f64 -1/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (+.f64 (.f64 1/3 (/.f64 (-.f64 2 (+.f64 (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (.f64 -1/3 (/.f64 (+.f64 2 (.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))))
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(cbrt.f64 -1)
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(fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1))
(fma.f64 2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1))
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(fma.f64 2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (fma.f64 -1/3 (/.f64 (+.f64 (fma.f64 -4/3 (.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2))) -2) (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(fma.f64 2 (.f64 x x) (+.f64 1 (.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (.f64 x x) (+.f64 1 (.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
-1
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(+.f64 (.f64 (.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 2) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) x) 2 -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 2 x) -1)
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-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -4/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) x)) 1)
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(/.f64 (-.f64 1 x) (+.f64 1 x))
(pow.f64 (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1) -1)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(neg.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -2))
(fabs.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 2/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3/2))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -1)
(exp.f64 (neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (.f64 (.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 3))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/3) 3))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3/2) 2))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2) 2))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 2))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(fma.f64 1 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (+.f64 1 x))))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 x (+.f64 1 x)))
(fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (neg.f64 (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) (/.f64 (neg.f64 x) (+.f64 1 x)))
(-.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1)) (/.f64 x (+.f64 1 x)))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (neg.f64 x) (+.f64 1 x)))
(-.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 x (+.f64 1 x)))
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(fabs.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(fabs.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (.f64 (.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

eval497.0ms (13.3%)

Compiler: Compiled 20794 to 16103 computations (22.6% saved)

prune178.0ms (4.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	734	3	737
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	736	6	742

Error

Counts

742 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x)))) (sqrt.f64 (+.f64 1 (.f64 2 x))))))
▶	1.4b	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	0.0b	(*.f64 2 (atan.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))))
✓	0.0b	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
✓	0.0b	(.f64 2 (atan.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1 x) (+.f64 x -1)) (fma.f64 x x -1)))))
▶	2.3b	(*.f64 2 (atan.f64 1))

Compiler

Compiled 75 to 63 computations (16% saved)

localize4.0ms (0.1%)

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(atan.f64 (-.f64 1 x))

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(atan.f64 (-.f64 1 x))
0.0ms	x	@	inf	(atan.f64 (-.f64 1 x))
0.0ms	x	@	-inf	(atan.f64 (-.f64 1 x))

rewrite38.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`pow1_binary64`
494×	`add-sqr-sqrt_binary64`
472×	`add-log-exp_binary64`
472×	`log1p-expm1-u_binary64`
472×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	102	6
2	1238	6

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))))

simplify53.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

528×	`log-prod_binary64`
492×	`fma-neg_binary64`
371×	`exp-prod_binary64`
262×	`sqr-pow_binary64`
242×	`exp-sum_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	120
1	75	120
2	282	120
3	1672	120
4	3905	120
5	5769	120

Stop Event

1×	node limit

Counts

20 → 18

Calls

Call 1

Inputs
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(*.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))

Outputs
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(atan.f64 (-.f64 1 x))
(*.f64 1 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(atan.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(atan.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(atan.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(atan.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(atan.f64 (-.f64 1 x))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(atan.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))

localize32.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 4 (.f64 x x))
✓	0.0b	(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 2 x)))))
✓	0.0b	(/.f64 (sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 2 x))))
✓	0.0b	(sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x))))

Compiler

Compiled 91 to 64 computations (29.7% saved)

series6.0ms (0.2%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x))))
1.0ms	x	@	0	(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 2 x)))))
1.0ms	x	@	0	(sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x))))
0.0ms	x	@	0	(.f64 4 (.f64 x x))
0.0ms	x	@	-inf	(sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x))))

rewrite65.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
472×	`fma-def_binary64`
341×	`pow2_binary64`
234×	`pow1/3_binary64`
231×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	302	39
2	3901	37

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 2 x)))))
(.f64 4 (.f64 x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))) (cbrt.f64 (fma.f64 (.f64 x x) -4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 1)) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4) (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (.f64 x x) -4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 x 4) 16))) (hypot.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 64))) (hypot.f64 1 (hypot.f64 (.f64 x (.f64 4 x)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 x x) -4 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (.f64 (.f64 x x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/2 (log1p.f64 (.f64 (.f64 x x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 (.f64 x x) -4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 (.f64 x x) -4))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)) (pow.f64 (fma.f64 x 2 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) (cbrt.f64 (+.f64 1 (.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 (.f64 -2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 1)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))) (pow.f64 (fma.f64 x 2 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4) (.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4) (pow.f64 (fma.f64 x 2 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x 2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x 2 1) -1/2) (sqrt.f64 (fma.f64 (.f64 x x) -4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 1)) (cbrt.f64 (fma.f64 x 2 1))) (cbrt.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 1)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))) (sqrt.f64 (fma.f64 x 2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4) 1) (/.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4) (sqrt.f64 (fma.f64 x 2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 x 2 1))) (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4) (cbrt.f64 (fma.f64 x 2 1))) (/.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4) (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (fma.f64 x 2 1) 1/4)) (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)) (pow.f64 (fma.f64 x 2 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 1)) (pow.f64 (fma.f64 x 2 1) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))) (pow.f64 (fma.f64 x 2 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (.f64 -2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 3/2) (pow.f64 (fma.f64 x 2 1) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)) (neg.f64 (sqrt.f64 (fma.f64 x 2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1 (.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 3/2) (pow.f64 (fma.f64 x 2 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/2 (log1p.f64 (.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 (*.f64 -2 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (atan.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)) (neg.f64 (sqrt.f64 (fma.f64 x 2 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (.f64 4 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 4 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 4) 16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 4 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 4 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (.f64 4 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 4 x) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 4 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (+.f64 x x)) (hypot.f64 1 (+.f64 x x)) -1)))))

simplify81.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-def_binary64`
488×	`unswap-sqr_binary64`
361×	`associate-/l*_binary64`
298×	`associate-/r*_binary64`
297×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	2251
1	722	2023
2	2299	1986

Stop Event

1×	node limit

Counts

150 → 215

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) 1))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -4 (pow.f64 x 6)) (+.f64 (*.f64 -2 (pow.f64 x 4)) 1)))
(*.f64 (sqrt.f64 -4) x)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -4) x))) (*.f64 (sqrt.f64 -4) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -4) x))) (.f64 (sqrt.f64 -4) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -4) x))) (.f64 (sqrt.f64 -4) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 -4) x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -4) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -4) x))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -4) x)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -4) x))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -4) x)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 x 3))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -4) x)))))
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))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (+.f64 (.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (+.f64 (.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (+.f64 (.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (+.f64 (.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (+.f64 1 (.f64 2 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (+.f64 1 (.f64 2 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (+.f64 1 (.f64 2 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (+.f64 1 (.f64 2 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (-.f64 1 (.f64 -2 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (-.f64 1 (.f64 -2 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (-.f64 1 (.f64 -2 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (-.f64 1 (.f64 -2 x)))))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(+.f64 0 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1)))) 1)
(.f64 1 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)) 1)
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))) (cbrt.f64 (fma.f64 (*.f64 x x) -4 1)))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 1)) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1))))
(.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4) (pow.f64 (fma.f64 (*.f64 x x) -4 1) 1/4))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 1))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (.f64 x x) -4 1)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 16))) (hypot.f64 1 (+.f64 x x)))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 64))) (hypot.f64 1 (hypot.f64 (.f64 x (.f64 4 x)) (+.f64 x x))))
(pow.f64 (fma.f64 (*.f64 x x) -4 1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1)) 1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 1) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 1) 3/2))
(hypot.f64 1 (sqrt.f64 (.f64 (.f64 x x) -4)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1))))
(exp.f64 (.f64 1/2 (log1p.f64 (.f64 (*.f64 x x) -4))))
(exp.f64 (.f64 (log1p.f64 (.f64 (*.f64 x x) -4)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 (.f64 x x) -4))) 1))
(+.f64 0 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))) 1)
(.f64 1 (sqrt.f64 (+.f64 1 (.f64 -2 x))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)) (pow.f64 (fma.f64 x 2 1) -1/2))
(.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))) 1)
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) (cbrt.f64 (+.f64 1 (*.f64 -2 x))))
(.f64 (cbrt.f64 (+.f64 1 (.f64 -2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 1)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))) (pow.f64 (fma.f64 x 2 1) -1/2)))
(.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4) (.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4) (pow.f64 (fma.f64 x 2 1) -1/2)))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x 2 1)))))
(.f64 (pow.f64 (fma.f64 x 2 1) -1/2) (sqrt.f64 (fma.f64 (.f64 x x) -4 1)))
(.f64 (/.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 1)) (cbrt.f64 (fma.f64 x 2 1))) (cbrt.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 1)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1))) (sqrt.f64 (fma.f64 x 2 1))))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4) 1) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 1) 1/4) (sqrt.f64 (fma.f64 x 2 1))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 2 1))) (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1)))))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 x x) -4 1) 1/4) (cbrt.f64 (fma.f64 x 2 1))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 1) 1/4) (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1)))))
(.f64 (/.f64 1 (pow.f64 (fma.f64 x 2 1) 1/4)) (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1)) (pow.f64 (fma.f64 x 2 1) 1/4)))
(.f64 (/.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 1)) (pow.f64 (fma.f64 x 2 1) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1))) (pow.f64 (fma.f64 x 2 1) 1/4)))
(pow.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))) 1)
(pow.f64 (+.f64 1 (*.f64 -2 x)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 2)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 1) 3/2) (pow.f64 (fma.f64 x 2 1) 3/2)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1)) (neg.f64 (sqrt.f64 (fma.f64 x 2 1)))))
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 1) 3/2) (pow.f64 (fma.f64 x 2 1) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(exp.f64 (.f64 1/2 (log1p.f64 (.f64 -2 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (*.f64 -2 x))) 1))
(+.f64 0 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))) 1)
(.f64 1 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))
(.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) 1)
(.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 1)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))) 3)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))) 2)
(neg.f64 (atan.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1)) (neg.f64 (sqrt.f64 (fma.f64 x 2 1))))))
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(exp.f64 (.f64 (log.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) 1))
(+.f64 0 (.f64 x (.f64 4 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))
(-.f64 (fma.f64 x (*.f64 4 x) 1) 1)
(pow.f64 (.f64 x (.f64 4 x)) 1)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (*.f64 (pow.f64 x 4) 16) 1/2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 4 x))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 16))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 4 x)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 64))
(expm1.f64 (log1p.f64 (.f64 x (.f64 4 x))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 4 x))))
(exp.f64 (log.f64 (.f64 x (.f64 4 x))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 4 x))) 1))
(fma.f64 1 (fma.f64 x (*.f64 4 x) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 4 x) 1)) 2) (cbrt.f64 (fma.f64 x (.f64 4 x) 1)) -1)
(fma.f64 (hypot.f64 1 (+.f64 x x)) (hypot.f64 1 (+.f64 x x)) -1)

Outputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) 1))
(fma.f64 -2 (*.f64 x x) (fma.f64 -2 (pow.f64 x 4) 1))
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) 1)
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -4 (pow.f64 x 6)) (+.f64 (*.f64 -2 (pow.f64 x 4)) 1)))
(fma.f64 -2 (*.f64 x x) (fma.f64 -4 (pow.f64 x 6) (fma.f64 -2 (pow.f64 x 4) 1)))
(fma.f64 -4 (pow.f64 x 6) (fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) 1))
(*.f64 (sqrt.f64 -4) x)
(*.f64 x (sqrt.f64 -4))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -4) x))) (*.f64 (sqrt.f64 -4) x))
(+.f64 (.f64 x (sqrt.f64 -4)) (/.f64 1/2 (.f64 x (sqrt.f64 -4))))
(fma.f64 x (sqrt.f64 -4) (/.f64 (/.f64 1/2 x) (sqrt.f64 -4)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -4) x))) (.f64 (sqrt.f64 -4) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -4))) (-.f64 (.f64 x (sqrt.f64 -4)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 x 3)))))
(+.f64 (fma.f64 x (sqrt.f64 -4) (/.f64 (/.f64 1/2 x) (sqrt.f64 -4))) (*.f64 (/.f64 (/.f64 -1/4 (sqrt.f64 -4)) (pow.f64 x 3)) -1/8))
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -4)) (fma.f64 x (sqrt.f64 -4) (/.f64 1/32 (*.f64 (sqrt.f64 -4) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -4) x))) (.f64 (sqrt.f64 -4) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 x 5))) (+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -4))) (-.f64 (.f64 x (sqrt.f64 -4)) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 x (sqrt.f64 -4) (/.f64 (/.f64 1/2 x) (sqrt.f64 -4))) (-.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 x 5))) (/.f64 1/8 (.f64 (*.f64 -4 (sqrt.f64 -4)) (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -4)) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 x 5)))) (fma.f64 x (sqrt.f64 -4) (/.f64 1/32 (.f64 (sqrt.f64 -4) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 -4) x))
(neg.f64 (*.f64 x (sqrt.f64 -4)))
(*.f64 (sqrt.f64 -4) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 -4)))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -4) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -4) x))))
(-.f64 (neg.f64 (.f64 x (sqrt.f64 -4))) (/.f64 1/2 (.f64 x (sqrt.f64 -4))))
(neg.f64 (fma.f64 x (sqrt.f64 -4) (/.f64 (/.f64 1/2 x) (sqrt.f64 -4))))
(fma.f64 x (neg.f64 (sqrt.f64 -4)) (/.f64 (/.f64 -1/2 x) (sqrt.f64 -4)))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -4) x)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -4) x))))
(-.f64 (fma.f64 -1 (.f64 x (sqrt.f64 -4)) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x (sqrt.f64 -4))))
(fma.f64 (neg.f64 (sqrt.f64 -4)) x (fma.f64 1/8 (/.f64 (/.f64 -1/4 (sqrt.f64 -4)) (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x (sqrt.f64 -4)))))
(-.f64 (/.f64 (/.f64 -1/32 (sqrt.f64 -4)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -4) (/.f64 (/.f64 1/2 x) (sqrt.f64 -4))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -4) x)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 x 3))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -4) x)))))
(-.f64 (fma.f64 -1 (.f64 x (sqrt.f64 -4)) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -4))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 x 5)))))
(-.f64 (fma.f64 (neg.f64 (sqrt.f64 -4)) x (fma.f64 1/8 (/.f64 (/.f64 -1/4 (sqrt.f64 -4)) (pow.f64 x 3)) (/.f64 -1/2 (.f64 x (sqrt.f64 -4))))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/32 (sqrt.f64 -4)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -4) (/.f64 (/.f64 1/2 x) (sqrt.f64 -4)))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 x 5))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (-.f64 1 x) (.f64 (.f64 x x) -1/2))
(fma.f64 x (*.f64 x -1/2) (-.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 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 (.f64 -1/2 (+.f64 (pow.f64 x 3) (.f64 x x))) (-.f64 1 x))
(fma.f64 -1/2 (+.f64 (pow.f64 x 3) (*.f64 x x)) (-.f64 1 x))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (+.f64 (.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 x (.f64 x -4))) (fma.f64 x 2 1))))
(atan.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -4) 1) (fma.f64 x 2 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (+.f64 (.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 x (.f64 x -4))) (fma.f64 x 2 1))))
(atan.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -4) 1) (fma.f64 x 2 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (+.f64 (.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 x (.f64 x -4))) (fma.f64 x 2 1))))
(atan.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -4) 1) (fma.f64 x 2 1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 4 (pow.f64 x 2))) (+.f64 (.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (.f64 x (.f64 x -4))) (fma.f64 x 2 1))))
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(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 1) 3/2) (pow.f64 (fma.f64 x 2 1) 3/2)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 1) 3/2) (pow.f64 (fma.f64 x 2 1) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -4) 1) 3/2) (pow.f64 (fma.f64 x 2 1) 3/2)))
(pow.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 1) -1)
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
(sqrt.f64 (fma.f64 -2 x 1))
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1)) (neg.f64 (sqrt.f64 (fma.f64 x 2 1)))))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 1))) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x 2 1)))))
(.f64 1 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x -4) 1)) (sqrt.f64 (fma.f64 x 2 1))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -4) 1)) (sqrt.f64 (fma.f64 x 2 1)))
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
(sqrt.f64 (fma.f64 -2 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
(sqrt.f64 (fma.f64 -2 x 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
(sqrt.f64 (fma.f64 -2 x 1))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))) 3))
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
(sqrt.f64 (fma.f64 -2 x 1))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 1) 3/2) (pow.f64 (fma.f64 x 2 1) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -4) 1) 3/2) (pow.f64 (fma.f64 x 2 1) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
(sqrt.f64 (fma.f64 -2 x 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
(sqrt.f64 (fma.f64 -2 x 1))
(exp.f64 (.f64 1/2 (log1p.f64 (.f64 -2 x))))
(pow.f64 (exp.f64 1/2) (log1p.f64 (*.f64 -2 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 -2 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (*.f64 -2 x))) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (*.f64 -2 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 -2 x))))
(+.f64 0 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))) 1)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(.f64 1 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))) 1)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))) 2))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 1)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 2) 1/2)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 3) 1/3)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))) 3)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))) 2)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(neg.f64 (atan.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -4 1)) (neg.f64 (sqrt.f64 (fma.f64 x 2 1))))))
(neg.f64 (atan.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -4) 1)) (neg.f64 (sqrt.f64 (fma.f64 x 2 1))))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -4) 1))) (sqrt.f64 (fma.f64 x 2 1)))))
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 2))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))) 3))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(exp.f64 (.f64 (log.f64 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x))))) 1))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(atan.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(+.f64 0 (.f64 x (.f64 4 x)))
(.f64 (.f64 x x) 4)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))
(.f64 (.f64 x x) 4)
(-.f64 (fma.f64 x (*.f64 4 x) 1) 1)
(.f64 (.f64 x x) 4)
(pow.f64 (.f64 x (.f64 4 x)) 1)
(.f64 (.f64 x x) 4)
(pow.f64 (+.f64 x x) 2)
(.f64 (.f64 x x) 4)
(pow.f64 (*.f64 (pow.f64 x 4) 16) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 16))
(pow.f64 (cbrt.f64 (.f64 x (.f64 4 x))) 3)
(.f64 (.f64 x x) 4)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) 64))
(sqrt.f64 (*.f64 (pow.f64 x 4) 16))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))
(.f64 (.f64 x x) 4)
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 4 x)))))
(.f64 (.f64 x x) 4)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 64))
(cbrt.f64 (*.f64 (pow.f64 x 6) 64))
(expm1.f64 (log1p.f64 (.f64 x (.f64 4 x))))
(.f64 (.f64 x x) 4)
(log1p.f64 (expm1.f64 (.f64 x (.f64 4 x))))
(.f64 (.f64 x x) 4)
(exp.f64 (log.f64 (.f64 x (.f64 4 x))))
(.f64 (.f64 x x) 4)
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 4 x))) 1))
(.f64 (.f64 x x) 4)
(fma.f64 1 (fma.f64 x (*.f64 4 x) 1) -1)
(.f64 (.f64 x x) 4)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 4 x) 1)) 2) (cbrt.f64 (fma.f64 x (.f64 4 x) 1)) -1)
(.f64 (.f64 x x) 4)
(fma.f64 (hypot.f64 1 (+.f64 x x)) (hypot.f64 1 (+.f64 x x)) -1)

eval131.0ms (3.5%)

Compiler: Compiled 4512 to 3768 computations (16.5% saved)

prune34.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	231	2	233
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	232	7	239

Error

Counts

239 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
▶	1.5b	(.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 2 x))))))
✓	1.4b	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	0.0b	(*.f64 2 (atan.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))))
✓	0.0b	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
✓	0.0b	(.f64 2 (atan.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1 x) (+.f64 x -1)) (fma.f64 x x -1)))))
✓	2.3b	(*.f64 2 (atan.f64 1))

Compiler

Compiled 79 to 68 computations (13.9% saved)

localize47.0ms (1.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (*.f64 2 x)))
✓	0.0b	(atan.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x)))))
✓	0.0b	(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))

Compiler

Compiled 46 to 39 computations (15.2% saved)

series4.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
1.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
0.0ms	x	@	0	(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 1 (*.f64 2 x)))
0.0ms	x	@	-inf	(atan.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x)))))

rewrite51.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
790×	`add-log-exp_binary64`
789×	`log1p-expm1-u_binary64`
789×	`expm1-log1p-u_binary64`
773×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	188	25
2	2264	25

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (fma.f64 2 x 1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 2 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2 x 1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x 1)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 2 x 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 2 x 1) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 2 x 1) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 x 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 x 1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 2 x 1) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x 1)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 2 x 1) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) 2) (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (fma.f64 2 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 x 1))) (cbrt.f64 (fma.f64 2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2 x 1) 1/4) (pow.f64 (fma.f64 2 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (fma.f64 2 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 2 x 1)) (cbrt.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 2 x 1) 1/4) (pow.f64 (sqrt.f64 (fma.f64 2 x 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (fma.f64 2 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (*.f64 8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 4 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 2 x)) 1/2))))))

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Rules

885×	`fma-def_binary64`
466×	`unswap-sqr_binary64`
431×	`log-prod_binary64`
297×	`distribute-rgt-in_binary64`
264×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	1140
1	348	1014
2	1174	886
3	4261	805

Stop Event

1×	node limit

Counts

85 → 120

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 3/2 (pow.f64 x 2))))
(+.f64 (.f64 -5/2 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 x) (*.f64 3/2 (pow.f64 x 2)))))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 x)))))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 x)))))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 x)))))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 x)))))
(atan.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 -2 x)))))
(atan.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 -2 x)))))
(atan.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 -2 x)))))
(atan.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 -2 x)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x)))
(-.f64 (+.f64 1 (pow.f64 (fma.f64 2 x 1) -1/2)) 1)
(*.f64 1 (pow.f64 (fma.f64 2 x 1) -1/2))
(*.f64 (pow.f64 (fma.f64 2 x 1) -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 2 x 1))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x 1)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 2 x 1)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 2 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 x 1))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 2 x 1) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 2 x 1) 1/4) -1))
(pow.f64 (fma.f64 2 x 1) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 2 x 1)) -1)
(pow.f64 (pow.f64 (fma.f64 2 x 1) -1/2) 1)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 2 x 1) -1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) 3)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x 1)) -1/2) 2)
(sqrt.f64 (/.f64 1 (fma.f64 2 x 1)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 2 x 1) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))
(-.f64 (+.f64 1 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) 1)
(*.f64 1 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))
(*.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) 1)
(*.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) 2) (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))))
(*.f64 (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))))
(pow.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) 1)
(pow.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) 3)
(pow.f64 (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) 2))
(log.f64 (exp.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))))
(cbrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))))
(log1p.f64 (expm1.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))))
(exp.f64 (log.f64 (atan.f64 (pow.f64 (fma.f64 2 x 1) -1/2))))
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 2 x 1))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 2 x 1)))
(*.f64 (sqrt.f64 (fma.f64 2 x 1)) 1)
(*.f64 (cbrt.f64 (fma.f64 2 x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 2 x 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 x 1))) (cbrt.f64 (fma.f64 2 x 1)))
(*.f64 (pow.f64 (fma.f64 2 x 1) 1/4) (pow.f64 (fma.f64 2 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 2 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 2 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 1/2))
(/.f64 1 (pow.f64 (fma.f64 2 x 1) -1/2))
(/.f64 (sqrt.f64 (fma.f64 2 x 1)) 1)
(/.f64 (cbrt.f64 (fma.f64 2 x 1)) (cbrt.f64 (pow.f64 (fma.f64 2 x 1) -1/2)))
(/.f64 (pow.f64 (fma.f64 2 x 1) 1/4) (pow.f64 (sqrt.f64 (fma.f64 2 x 1)) -1/2))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 2 x 1))) -1)
(/.f64 (sqrt.f64 (+.f64 1 (.f64 8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 4 (.f64 x x)) (.f64 -2 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 -2 x))))
(pow.f64 (fma.f64 2 x 1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 2 x 1)) 1)
(pow.f64 (pow.f64 (fma.f64 2 x 1) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 x 1))) 3)
(pow.f64 (pow.f64 (fma.f64 2 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 2 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 2 x 1))))
(cbrt.f64 (pow.f64 (fma.f64 2 x 1) 3/2))
(hypot.f64 1 (sqrt.f64 (*.f64 2 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 2 x 1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 2 x 1))))
(exp.f64 (.f64 (log1p.f64 (.f64 2 x)) 1/2))

Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 3/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1 x (.f64 3/2 (.f64 x x))))
(+.f64 (-.f64 1 x) (.f64 x (.f64 x 3/2)))
(-.f64 (fma.f64 x (*.f64 x 3/2) 1) x)
(fma.f64 x (fma.f64 x 3/2 -1) 1)
(+.f64 (.f64 -5/2 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 x) (*.f64 3/2 (pow.f64 x 2)))))
(fma.f64 -5/2 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (.f64 3/2 (.f64 x x)))))
(fma.f64 -5/2 (pow.f64 x 3) (+.f64 (-.f64 1 x) (.f64 x (.f64 x 3/2))))
(fma.f64 -5/2 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 3/2) 1) x))
(fma.f64 x (fma.f64 x 3/2 -1) (fma.f64 -5/2 (pow.f64 x 3) 1))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 x 2 1))))
(atan.f64 (pow.f64 (fma.f64 x 2 1) -1/2))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 x 2 1))))
(atan.f64 (pow.f64 (fma.f64 x 2 1) -1/2))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 x 2 1))))
(atan.f64 (pow.f64 (fma.f64 x 2 1) -1/2))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 x 2 1))))
(atan.f64 (pow.f64 (fma.f64 x 2 1) -1/2))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 x)))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 x 2 1))))
(atan.f64 (pow.f64 (fma.f64 x 2 1) -1/2))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 x)))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 x 2 1))))
(atan.f64 (pow.f64 (fma.f64 x 2 1) -1/2))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 x)))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 x 2 1))))
(atan.f64 (pow.f64 (fma.f64 x 2 1) -1/2))
(atan.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 x)))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 x 2 1))))
(atan.f64 (pow.f64 (fma.f64 x 2 1) -1/2))
(atan.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 -2 x)))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 x 2 1))))
(atan.f64 (pow.f64 (fma.f64 x 2 1) -1/2))
(atan.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 -2 x)))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 1))))
(atan.f64 (sqrt.f64 (/.f64 1 (fma.f64 x 2 1))))
(atan.f64 (pow.f64 (fma.f64 x 2 1) -1/2))
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(+.f64 (sqrt.f64 (fma.f64 x 2 1)) 0)
(sqrt.f64 (fma.f64 x 2 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 2 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x 2 1)) 0)
(sqrt.f64 (fma.f64 x 2 1))
(exp.f64 (.f64 (log1p.f64 (.f64 2 x)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 2 x 1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x 2 1)) 0)
(sqrt.f64 (fma.f64 x 2 1))

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 29 computations (17.1% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite50.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`pow1_binary64`
794×	`add-log-exp_binary64`
794×	`log1p-expm1-u_binary64`
794×	`expm1-log1p-u_binary64`
781×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	163	15
2	2364	15

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1)) (+.f64 (atan.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x atan.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1) (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1) (-.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)))))

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

915×	`times-frac_binary64`
522×	`cancel-sign-sub-inv_binary64`
470×	`fma-neg_binary64`
300×	`associate-/l*_binary64`
300×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1267
1	341	1226
2	1582	1223

Stop Event

1×	node limit

Counts

88 → 85

Calls

Call 1

Inputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1))
(+.f64 (atan.f64 (-.f64 1 x)) 0)
(+.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)
(+.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))
(+.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)
(*.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1)) (+.f64 (atan.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1)))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(atan.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)
(-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 1 (atan.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x)))))
(*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1) (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1) (-.f64 1 (atan.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)
(pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(fma.f64 1 (atan.f64 (-.f64 1 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)
(fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)

Outputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))
(atan.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1))
(atan.f64 (-.f64 1 x))
(+.f64 (atan.f64 (-.f64 1 x)) 0)
(atan.f64 (-.f64 1 x))
(+.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)
(atan.f64 (-.f64 1 x))
(+.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(+.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)
(atan.f64 (-.f64 1 x))
(*.f64 1 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(atan.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
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(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
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(*.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
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(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1)))
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(pow.f64 (atan.f64 (-.f64 1 x)) 1)
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(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
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(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(atan.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(atan.f64 (-.f64 1 x))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
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(atan.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
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(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
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(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
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(fma.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)
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(fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)
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(/.f64 (-.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 -1 (-.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1) (-.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(fma.f64 1 (atan.f64 (-.f64 1 x)) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))

eval97.0ms (2.6%)

Compiler: Compiled 3434 to 3041 computations (11.4% saved)

prune31.0ms (0.8%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	222	8	230

Error

Counts

230 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	1.5b	(*.f64 2 (-.f64 (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1))
✓	1.4b	(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
	1.4b	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓	1.4b	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	0.0b	(*.f64 2 (atan.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))))
✓	0.0b	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
✓	0.0b	(.f64 2 (atan.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1 x) (+.f64 x -1)) (fma.f64 x x -1)))))
✓	2.3b	(*.f64 2 (atan.f64 1))

Compiler

Compiled 89 to 77 computations (13.5% saved)

regimes22.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (-.f64 (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1))
(*.f64 2 (atan.f64 (sqrt.f64 1)))
(.f64 2 (atan.f64 (sqrt.f64 (+.f64 1 (.f64 -2 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
(.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 2 x))))))
(.f64 2 (atan.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1 x) (+.f64 x -1)) (fma.f64 x x -1)))))
(.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 4 (.f64 x x)))) (sqrt.f64 (+.f64 1 (.f64 2 x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))))

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

Calls

5 calls:

7.0ms	x
3.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
3.0ms	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
3.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
3.0ms	(atan.f64 (sqrt.f64 (/.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 177 to 149 computations (15.8% saved)

regimes7.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
1.4b	1	`x`

Compiler

Compiled 57 to 51 computations (10.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.9b remaining (-60.9%)

Threshold costs -0.9b (-60.9%)

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
1.4b	1	`x`

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	26	44
2	30	44
3	32	44
4	33	44

Stop Event

1×	fuel
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 (+.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 (+.f64 1 x))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))

Compiler

Compiled 33 to 29 computations (12.1% saved)

soundness0.0ms (0%)

end29.0ms (0.8%)

Compiler: Compiled 30 to 26 computations (13.3% saved)

Details

analyze8.0ms (0.2%)

sample992.0ms (26.5%)

preprocess50.0ms (1.3%)

simplify42.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize18.0ms (0.5%)

series2.0ms (0.1%)

rewrite105.0ms (2.8%)

simplify102.0ms (2.7%)

eval143.0ms (3.8%)

prune38.0ms (1%)

localize6.0ms (0.2%)

localize15.0ms (0.4%)

series3.0ms (0.1%)

rewrite47.0ms (1.2%)

simplify49.0ms (1.3%)

localize30.0ms (0.8%)

series3.0ms (0.1%)

rewrite63.0ms (1.7%)

simplify78.0ms (2.1%)

localize30.0ms (0.8%)

series9.0ms (0.2%)

rewrite95.0ms (2.5%)

simplify189.0ms (5%)

eval497.0ms (13.3%)

prune178.0ms (4.7%)

localize4.0ms (0.1%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite38.0ms (1%)

simplify53.0ms (1.4%)

localize32.0ms (0.8%)

series6.0ms (0.2%)

rewrite65.0ms (1.7%)

simplify81.0ms (2.2%)

eval131.0ms (3.5%)

prune34.0ms (0.9%)

localize47.0ms (1.2%)

series4.0ms (0.1%)

rewrite51.0ms (1.4%)

simplify73.0ms (2%)

localize15.0ms (0.4%)

series2.0ms (0%)

rewrite50.0ms (1.3%)

simplify67.0ms (1.8%)

eval97.0ms (2.6%)

prune31.0ms (0.8%)

regimes22.0ms (0.6%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end29.0ms (0.8%)

Profiling