Details

analyze66.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
51.6%	50%	46.8%	0.1%	3.1%	0%	0%	7
61.3%	59.3%	37.5%	0.1%	3.1%	0%	0%	8
72.3%	67.1%	25.8%	0.1%	7%	0%	0%	9
78.2%	72.6%	20.3%	0.1%	7%	0%	0%	10
85.1%	76.9%	13.5%	0.1%	9.6%	0%	0%	11
88.3%	79.8%	10.5%	0.1%	9.6%	0%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.0s (18.2%)

Results

973.0ms	8256×	body	256	valid
27.0ms	282×	body	256	infinite

Bogosity

preprocess140.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

1884×	`fma-def`
1114×	`associate-+l-`
840×	`fma-neg`
702×	`+-commutative`
614×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	47	54
2	113	46
3	221	46
4	544	42
5	1266	42
6	3115	42
7	4585	42
8	4872	42
9	4872	42
10	4872	42
11	5530	42
12	5530	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 y (-.f64 x 1)) (.f64 x 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (-.f64 (.f64 y (-.f64 x 1)) (.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y (+.f64 x -1)) (.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1) (*.f64 x -1/2)))
(fma.f64 y (+.f64 x -1) (fma.f64 x -1/2 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1/2) (-.f64 918938533204673/1000000000000000 y))
(-.f64 (fma.f64 x (+.f64 y -1/2) 918938533204673/1000000000000000) y)

Compiler

Compiled 15 to 12 computations (20% saved)

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1392×	`fma-def`
764×	`associate-+l+`
706×	`associate-+l-`
678×	`associate--r+`
540×	`associate-+r+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	30	27
2	66	23
3	126	23
4	263	21
5	614	21
6	1497	21
7	2817	21
8	3922	21
9	4054	21
10	4081	21

Stop Event

1×

saturated

Counts

1 → 6

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))

eval1.0ms (0%)

Compiler: Compiled 59 to 41 computations (30.5% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

0.0b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
▶	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
✓	0.0b	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
✓	0.0b	(*.f64 x (-.f64 y 1))

Compiler

Compiled 38 to 26 computations (31.6% saved)

series4.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite146.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`associate-*r/`
1520×	`associate-*l/`
476×	`associate-+l+`
328×	`associate-/r*`
288×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	278	61
2	3725	61

Stop Event

1×	node limit

Counts

3 → 330

Calls

Call 1

Inputs
(*.f64 x (-.f64 y 1))
(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

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

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-1) (*.f64 y -1/2)) 918938533204673/1000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 1918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y -1) x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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simplify230.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1316×	`fma-def`
932×	`associate-+l+`
866×	`associate-/l*`
804×	`associate-+r+`
736×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	804	20350
1	2073	17960

Stop Event

1×	node limit

Counts

402 → 481

Calls

Call 1

Inputs
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 -1 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 -1/2 y)
(+.f64 (.f64 (-.f64 y 1) x) (.f64 -1/2 y))
(+.f64 (.f64 (-.f64 y 1) x) (.f64 -1/2 y))
(+.f64 (.f64 (-.f64 y 1) x) (.f64 -1/2 y))
(*.f64 (-.f64 y 1) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(*.f64 (-.f64 y 1) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(*.f64 -1 x)
(+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x))
(+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x))
(+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x))
(*.f64 y (-.f64 x 1/2))
(+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2)))
(+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2)))
(+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2)))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 (.f64 x y) (.f64 x -1))
(+.f64 (.f64 x -1) (.f64 x y))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) 1)
(/.f64 x (/.f64 (+.f64 y 1) (fma.f64 y y -1)))
(/.f64 x (/.f64 (fma.f64 y y (+.f64 y 1)) (+.f64 -1 (pow.f64 y 3))))
(/.f64 (*.f64 x (+.f64 y -1)) 1)
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (fma.f64 y y (+.f64 y 1)))
(/.f64 (.f64 x (+.f64 -1 (pow.f64 y 3))) (+.f64 (.f64 y y) (-.f64 1 (*.f64 y -1))))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 y 3)) x) (fma.f64 y y (+.f64 y 1)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 y 3)) x) (+.f64 (.f64 y y) (-.f64 1 (*.f64 y -1))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 y y -1))) (neg.f64 (+.f64 y 1)))
(/.f64 (*.f64 x (neg.f64 (+.f64 -1 (pow.f64 y 3)))) (neg.f64 (fma.f64 y y (+.f64 y 1))))
(/.f64 (.f64 1 (.f64 x (fma.f64 y y -1))) (+.f64 y 1))
(/.f64 (.f64 1 (.f64 x (+.f64 -1 (pow.f64 y 3)))) (fma.f64 y y (+.f64 y 1)))
(/.f64 (.f64 1 (.f64 (fma.f64 y y -1) x)) (+.f64 y 1))
(/.f64 (.f64 1 (.f64 (+.f64 -1 (pow.f64 y 3)) x)) (fma.f64 y y (+.f64 y 1)))
(/.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (fma.f64 y y -1))) (sqrt.f64 (+.f64 y 1)))
(/.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 -1 (pow.f64 y 3)))) (sqrt.f64 (fma.f64 y y (+.f64 y 1))))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (fma.f64 y y -1))) (cbrt.f64 (+.f64 y 1)))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 y 3)))) (cbrt.f64 (fma.f64 y y (+.f64 y 1))))
(/.f64 (*.f64 (neg.f64 (fma.f64 y y -1)) x) (neg.f64 (+.f64 y 1)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 y 3))) x) (neg.f64 (fma.f64 y y (+.f64 y 1))))
(/.f64 (.f64 (.f64 x (fma.f64 y y -1)) 1) (+.f64 y 1))
(/.f64 (.f64 (.f64 x (+.f64 -1 (pow.f64 y 3))) 1) (fma.f64 y y (+.f64 y 1)))
(/.f64 (.f64 (.f64 (fma.f64 y y -1) x) 1) (+.f64 y 1))
(/.f64 (.f64 (.f64 (+.f64 -1 (pow.f64 y 3)) x) 1) (fma.f64 y y (+.f64 y 1)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 y y -1)) (.f64 (sqrt.f64 (+.f64 y -1)) x)) (sqrt.f64 (+.f64 y 1)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 y 3))) (.f64 (sqrt.f64 (+.f64 y -1)) x)) (sqrt.f64 (fma.f64 y y (+.f64 y 1))))
(/.f64 (/.f64 (*.f64 x (fma.f64 y y -1)) 1) (+.f64 y 1))
(/.f64 (/.f64 (*.f64 x (fma.f64 y y -1)) (sqrt.f64 (+.f64 y 1))) (sqrt.f64 (+.f64 y 1)))
(/.f64 (/.f64 (.f64 x (fma.f64 y y -1)) (.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (+.f64 y 1)))) (cbrt.f64 (+.f64 y 1)))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) 1) (fma.f64 y y (+.f64 y 1)))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (sqrt.f64 (fma.f64 y y (+.f64 y 1)))) (sqrt.f64 (fma.f64 y y (+.f64 y 1))))
(/.f64 (/.f64 (.f64 x (+.f64 -1 (pow.f64 y 3))) (.f64 (cbrt.f64 (fma.f64 y y (+.f64 y 1))) (cbrt.f64 (fma.f64 y y (+.f64 y 1))))) (cbrt.f64 (fma.f64 y y (+.f64 y 1))))
(/.f64 (/.f64 (*.f64 (fma.f64 y y -1) x) 1) (+.f64 y 1))
(/.f64 (/.f64 (*.f64 (fma.f64 y y -1) x) (sqrt.f64 (+.f64 y 1))) (sqrt.f64 (+.f64 y 1)))
(/.f64 (/.f64 (.f64 (fma.f64 y y -1) x) (.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (+.f64 y 1)))) (cbrt.f64 (+.f64 y 1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 y 3)) x) 1) (fma.f64 y y (+.f64 y 1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 y 3)) x) (sqrt.f64 (fma.f64 y y (+.f64 y 1)))) (sqrt.f64 (fma.f64 y y (+.f64 y 1))))
(/.f64 (/.f64 (.f64 (+.f64 -1 (pow.f64 y 3)) x) (.f64 (cbrt.f64 (fma.f64 y y (+.f64 y 1))) (cbrt.f64 (fma.f64 y y (+.f64 y 1))))) (cbrt.f64 (fma.f64 y y (+.f64 y 1))))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))
(+.f64 (.f64 x (+.f64 y -1)) (.f64 y -1/2))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y -1/2) (fma.f64 -1/2 y (*.f64 y 1/2))))
(+.f64 (.f64 x (+.f64 y -1)) (.f64 (*.f64 y -1/2) 1))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (+.f64 (.f64 y -1/2) (fma.f64 -1/2 y (.f64 y 1/2))) (fma.f64 -1/2 y (.f64 y 1/2))))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 (.f64 y -1/2) 1) (fma.f64 -1/2 y (.f64 y 1/2))))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y -1/2) (+.f64 (fma.f64 -1/2 y (.f64 y 1/2)) (fma.f64 -1/2 y (.f64 y 1/2)))))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (+.f64 (.f64 y -1/2) (fma.f64 -1/2 y (.f64 y 1/2))) (+.f64 (fma.f64 -1/2 y (.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 (.f64 y -1/2) 1) (+.f64 (fma.f64 -1/2 y (.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y -1/2) (.f64 (fma.f64 -1/2 y (.f64 y 1/2)) 1)))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (+.f64 (.f64 y -1/2) (fma.f64 -1/2 y (.f64 y 1/2))) (.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1)))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 (.f64 y -1/2) 1) (.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1)))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y -1/2) (fma.f64 (.f64 y -1/2) 1 (.f64 y 1/2))))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (+.f64 (.f64 y -1/2) (fma.f64 -1/2 y (.f64 y 1/2))) (fma.f64 (.f64 y -1/2) 1 (*.f64 y 1/2))))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 (.f64 y -1/2) 1) (fma.f64 (.f64 y -1/2) 1 (*.f64 y 1/2))))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (.f64 y -1/2) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2))))
(+.f64 (.f64 x (+.f64 y -1)) (+.f64 (+.f64 (.f64 y -1/2) (fma.f64 -1/2 y (.f64 y 1/2))) (fma.f64 (neg.f64 y) 1/2 (.f64 y 1/2))))
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(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 918938533204673/1000000000000000))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))))
(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 918938533204673/1000000000000000)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 918938533204673/1000000000000000)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))))
(pow.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000) 1)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000) 3))
(expm1.f64 (log.f64 (+.f64 1918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))))
(exp.f64 (log.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))
(exp.f64 (.f64 (log.f64 (+.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 918938533204673/1000000000000000)) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))
(fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 1 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 (+.f64 y -1) x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) (sqrt.f64 (.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y -1))) 2) (cbrt.f64 (.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))

Outputs
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (.f64 (-.f64 y 1) x) (.f64 -1/2 y))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 (-.f64 y 1) x) (.f64 -1/2 y))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 (-.f64 y 1) x) (.f64 -1/2 y))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2)))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2)))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2)))
(fma.f64 y -1/2 (*.f64 x (+.f64 y -1)))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 (neg.f64 y) (+.f64 (neg.f64 x) 1/2))
(*.f64 (-.f64 1/2 x) (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x))
(.f64 -1 (+.f64 (.f64 y (+.f64 (neg.f64 x) 1/2)) x))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x))
(.f64 -1 (+.f64 (.f64 y (+.f64 (neg.f64 x) 1/2)) x))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x))
(.f64 -1 (+.f64 (.f64 y (+.f64 (neg.f64 x) 1/2)) x))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 (neg.f64 y) (+.f64 (neg.f64 x) 1/2))
(*.f64 (-.f64 1/2 x) (neg.f64 y))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 (.f64 -1 (+.f64 (.f64 y (+.f64 (neg.f64 x) 1/2)) x)) 918938533204673/1000000000000000)
(fma.f64 -1 (fma.f64 y (-.f64 1/2 x) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 (.f64 -1 (+.f64 (.f64 y (+.f64 (neg.f64 x) 1/2)) x)) 918938533204673/1000000000000000)
(fma.f64 -1 (fma.f64 y (-.f64 1/2 x) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 (.f64 -1 (+.f64 (.f64 y (+.f64 (neg.f64 x) 1/2)) x)) 918938533204673/1000000000000000)
(fma.f64 -1 (fma.f64 y (-.f64 1/2 x) x) 918938533204673/1000000000000000)
(+.f64 (.f64 x y) (.f64 x -1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 x -1) (.f64 x y))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 -1 x) (.f64 y x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) 1)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(/.f64 x (/.f64 (+.f64 y 1) (fma.f64 y y -1)))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 x (/.f64 (fma.f64 y y (+.f64 y 1)) (+.f64 -1 (pow.f64 y 3))))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (fma.f64 y y (+.f64 y 1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 y 3)) (fma.f64 y y (+.f64 y 1))) x)
(/.f64 (*.f64 x (+.f64 y -1)) 1)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (fma.f64 y y (+.f64 y 1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 y 3)) (fma.f64 y y (+.f64 y 1))) x)
(/.f64 (.f64 x (+.f64 -1 (pow.f64 y 3))) (+.f64 (.f64 y y) (-.f64 1 (*.f64 y -1))))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (fma.f64 y y (+.f64 y 1)))
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(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (+.f64 y -1) x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) (sqrt.f64 (.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y -1))) 2) (cbrt.f64 (.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
✓	0.0b	(-.f64 918938533204673/1000000000000000 x)

Compiler

Compiled 20 to 13 computations (35% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	x	@	-inf	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	y	@	0	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	x	@	0	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	x	@	inf	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

rewrite87.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`*-commutative`
850×	`associate-*r/`
644×	`unswap-sqr`
602×	`associate-*l/`
526×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	221	28
2	2775	28

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

Inputs
(-.f64 918938533204673/1000000000000000 x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 918938533204673/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))))) 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Outputs

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(-.f64 918938533204673/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (cbrt.f64 (fma.f64 y 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y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))))

simplify115.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1188×	`associate-/r*`
970×	`associate-+l+`
824×	`associate-*r/`
766×	`associate-+r+`
664×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	349	4992
1	967	4528
2	3802	4528

Stop Event

1×	node limit

Counts

158 → 206

Calls

Call 1

Inputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(+.f64 (-.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 x))) 1)
(*.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(*.f64 1 (-.f64 918938533204673/1000000000000000 x))
(*.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))
(.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)))
(.f64 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))) (-.f64 918938533204673/1000000000000000 x))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (-.f64 x 918938533204673/1000000000000000))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (.f64 (+.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 x))))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 3))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) (-.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 844448027808355901771309036929/1000000000000000000000000000000))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))))
(.f64 (.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 3/2) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 1/6) (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 1/6))
(/.f64 1 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 918938533204673/1000000000000000 x))
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(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))

Outputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(fma.f64 y -1/2 918938533204673/1000000000000000)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 -1 y))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(neg.f64 (*.f64 x (+.f64 1 (neg.f64 y))))
(*.f64 (-.f64 1 y) (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))))
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) (*.f64 x (-.f64 1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))))
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) (*.f64 x (-.f64 1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))))
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) (*.f64 x (-.f64 1 y)))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (-.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 x))) 1)
(+.f64 1 (-.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 x))))
(-.f64 918938533204673/1000000000000000 (expm1.f64 (log1p.f64 x)))
(*.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 1 (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 918938533204673/1000000000000000 x))
(.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))
(.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 918938533204673/1000000000000000 x))
(.f64 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (-.f64 x 918938533204673/1000000000000000))))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x -918938533204673/1000000000000000))))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (fma.f64 x (+.f64 x -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (.f64 (+.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 x))))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 x (.f64 x (.f64 (+.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 x)))))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x (.f64 x (+.f64 918938533204673/1000000000000000 x))) (-.f64 -918938533204673/1000000000000000 x)))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) (.f64 x (-.f64 -918938533204673/1000000000000000 x))))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (-.f64 -918938533204673/1000000000000000 x))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 3))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) (-.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 844448027808355901771309036929/1000000000000000000000000000000))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 3))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 x (.f64 (+.f64 918938533204673/1000000000000000 x) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) -844448027808355901771309036929/1000000000000000000000000000000)))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 3))) (fma.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) -844448027808355901771309036929/1000000000000000000000000000000) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000))
(/.f64 (.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (.f64 (+.f64 918938533204673/1000000000000000 x) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) -844448027808355901771309036929/1000000000000000000000000000000)) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 3)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))))
(.f64 (.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 3/2) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 3/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 1/6) (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 1/6))
(-.f64 918938533204673/1000000000000000 x)
(/.f64 1 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 918938533204673/1000000000000000 x))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
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(fma.f64 y (+.f64 x -1/2) (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)))
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x)))) 1)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x))) (/.f64 x (/.f64 (+.f64 918938533204673/1000000000000000 x) x)))
(+.f64 (-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (.f64 (/.f64 x (+.f64 918938533204673/1000000000000000 x)) x)) (.f64 y (+.f64 x -1/2)))
(fma.f64 y (+.f64 x -1/2) (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 918938533204673/1000000000000000 x)))
(-.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x))))) (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(+.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (.f64 y (+.f64 x -1/2)))
(fma.f64 y (+.f64 x -1/2) (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)))
(-.f64 (+.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) 0) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 1 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) (.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(.f64 (.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) (*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) (.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3/2))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/6))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (+.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 (+.f64 x (.f64 y (+.f64 x -1/2)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))) (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2))) (+.f64 (-.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3))) (+.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 (+.f64 x (.f64 y (+.f64 x -1/2)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))) (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) 1) (+.f64 (-.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) 1) (+.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 (+.f64 x (.f64 y (+.f64 x -1/2)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))) (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y))))
(pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2))
(fabs.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)

eval313.0ms (5.6%)

Compiler: Compiled 16910 to 12234 computations (27.7% saved)

prune185.0ms (3.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	680	7	687
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	682	7	689

Error

Counts

689 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	19.3b	(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (*.f64 y (+.f64 x -1/2))))
▶	0.0b	(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
▶	28.2b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶	27.1b	(-.f64 918938533204673/1000000000000000 x)
	19.4b	(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
▶	35.8b	(*.f64 (-.f64 y 1) x)
▶	36.5b	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 154 to 116 computations (24.7% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
✓	0.0b	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0%)

Counts

2 → 27

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(*.f64 y (-.f64 x 1/2))
0.0ms	x	@	-inf	(*.f64 y (-.f64 x 1/2))
0.0ms	y	@	inf	(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
0.0ms	y	@	-inf	(*.f64 y (-.f64 x 1/2))
0.0ms	y	@	0	(*.f64 y (-.f64 x 1/2))

rewrite93.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`associate-*r/`
1158×	`associate-*l/`
1088×	`*-commutative`
928×	`distribute-lft-in`
320×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	235	34
2	3229	34

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

Inputs
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 y x)) (*.f64 1 (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 1 (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (+.f64 (*.f64 x x) (-.f64 1/4 (*.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 y 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x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (neg.f64 x))))))

simplify153.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1760×	`associate-+l-`
1296×	`associate-+r-`
666×	`associate-/l*`
638×	`fma-def`
414×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	447	9360
1	1300	8886
2	6236	8886

Stop Event

1×	node limit

Counts

188 → 256

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000))
(*.f64 (-.f64 y 1) x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (.f64 y -1/2) (.f64 y x))
(+.f64 (.f64 1 (.f64 y x)) (.f64 1 (.f64 y -1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(/.f64 y (/.f64 1 (+.f64 x -1/2)))
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) y))
(/.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))) y))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (+.f64 (.f64 x x) (-.f64 1/4 (*.f64 x -1/2))))
(/.f64 (*.f64 y (neg.f64 (fma.f64 x x -1/4))) (neg.f64 (+.f64 x 1/2)))
(/.f64 (.f64 y (neg.f64 (+.f64 (pow.f64 x 3) -1/8))) (neg.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))))
(/.f64 (.f64 1 (.f64 y (fma.f64 x x -1/4))) (+.f64 x 1/2))
(/.f64 (.f64 1 (.f64 y (+.f64 (pow.f64 x 3) -1/8))) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(/.f64 (.f64 (.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (fma.f64 x x -1/4))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (fma.f64 x x -1/4))) (cbrt.f64 (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/8))) (cbrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -1/4)) y) (neg.f64 (+.f64 x 1/2)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/8)) y) (neg.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))))
(/.f64 (.f64 (.f64 y (fma.f64 x x -1/4)) 1) (+.f64 x 1/2))
(/.f64 (.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) 1) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/4)) (.f64 y (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8)) (.f64 y (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 y (fma.f64 x x -1/4)) 1) (+.f64 x 1/2))
(/.f64 (/.f64 (*.f64 y (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (/.f64 (.f64 y (fma.f64 x x -1/4)) (.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (+.f64 x 1/2)))) (cbrt.f64 (+.f64 x 1/2)))
(/.f64 (/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) 1) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (sqrt.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))) (sqrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) (cbrt.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))))) (cbrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (.f64 y (+.f64 x -1/2)) (.f64 1 (-.f64 918938533204673/1000000000000000 x)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(+.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (neg.f64 x))
(+.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x x)))) (sqrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x x)))) (cbrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(/.f64 (.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (-.f64 (.f64 y (+.f64 x -1/2)) x) (-.f64 (.f64 y (+.f64 x -1/2)) x))) 1) (+.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 (neg.f64 x) (neg.f64 x))) 1) (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (neg.f64 x)))
(/.f64 (.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 (.f64 y (+.f64 x -1/2)) x) 3)) 1) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (.f64 (-.f64 (.f64 y (+.f64 x -1/2)) x) (-.f64 (.f64 y (+.f64 x -1/2)) x)) (.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 (neg.f64 x) 3)) 1) (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (neg.f64 x)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x x))) 1) (neg.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3))) 1) (neg.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3))) (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x x))) (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) (sqrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2)) (cbrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 1 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))) (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) 3) (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))) (+.f64 (.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3)) (.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))) (+.f64 (.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3)) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x x)) 1) (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x x)) (sqrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))) (sqrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x x)) (.f64 (cbrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) (cbrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (cbrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))))
(pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (neg.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (neg.f64 x))

Outputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(neg.f64 (*.f64 x (+.f64 1 (neg.f64 y))))
(*.f64 x (neg.f64 (-.f64 1 y)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))))
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 x (-.f64 1 y)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))))
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 x (-.f64 1 y)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))))
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 x (-.f64 1 y)))
(+.f64 (.f64 y x) (.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 1 (.f64 y x)) (.f64 1 (.f64 y -1/2)))
(*.f64 y (+.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(*.f64 y (+.f64 -1/2 x))
(/.f64 y (/.f64 1 (+.f64 x -1/2)))
(*.f64 y (+.f64 -1/2 x))
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) y))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))) y))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) y)
(*.f64 y (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (fma.f64 x 1/2 1/4))))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) y)
(*.f64 y (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (fma.f64 x 1/2 1/4))))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (+.f64 (.f64 x x) (-.f64 1/4 (*.f64 x -1/2))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) y)
(*.f64 y (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (fma.f64 x 1/2 1/4))))
(/.f64 (*.f64 y (neg.f64 (fma.f64 x x -1/4))) (neg.f64 (+.f64 x 1/2)))
(/.f64 (neg.f64 (*.f64 y (fma.f64 x x -1/4))) (+.f64 (neg.f64 x) -1/2))
(*.f64 (/.f64 y (-.f64 -1/2 x)) (neg.f64 (fma.f64 x x -1/4)))
(/.f64 (.f64 y (neg.f64 (+.f64 (pow.f64 x 3) -1/8))) (neg.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))))
(/.f64 (.f64 y (+.f64 (pow.f64 (neg.f64 x) 3) 1/8)) (neg.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))))
(*.f64 (/.f64 y (neg.f64 (fma.f64 x x (fma.f64 x 1/2 1/4)))) (-.f64 1/8 (pow.f64 x 3)))
(/.f64 (.f64 1 (.f64 y (fma.f64 x x -1/4))) (+.f64 x 1/2))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) 3) (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))) (+.f64 (.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 2) 3) (pow.f64 x 6)) (+.f64 x (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000))) (+.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 4) (.f64 (.f64 x x) (+.f64 (*.f64 x x) (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 6) (pow.f64 x 6)) (+.f64 x (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000))) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 2)) (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 4)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3)) (.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 6) (pow.f64 x 6)) (+.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 2) (*.f64 x (+.f64 x (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 3)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 6) (pow.f64 x 6)) (*.f64 (fma.f64 x (+.f64 x (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000)) (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))) (+.f64 (.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3)) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000))))) (+.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 6) (pow.f64 x 6)) (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (fma.f64 x (+.f64 x (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000)) (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 2))) (+.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 6) (fma.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 3) (pow.f64 x 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x x)) 1) (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x x)) (sqrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))) (sqrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x x)) (.f64 (cbrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) (cbrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (cbrt.f64 (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (*.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 2) (*.f64 x (+.f64 x (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000)) (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 2) (*.f64 x (+.f64 x (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000)) (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x (+.f64 x (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 2) (*.f64 x (+.f64 x (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000)) (pow.f64 (fma.f64 y (+.f64 -1/2 x) 918938533204673/1000000000000000) 2)))
(pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1)
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2)
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 3)
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3) 1/3)
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 2))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x)) 2))
(fabs.f64 (fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x)))
(log.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(exp.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (neg.f64 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (neg.f64 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (neg.f64 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x))

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(-.f64 918938533204673/1000000000000000 x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite89.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`add-sqr-sqrt`
1396×	`*-un-lft-identity`
1302×	`add-cube-cbrt`
1286×	`add-cbrt-cube`
1274×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	144	13
2	1785	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(*.f64 (-.f64 y 1) x)

Outputs

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

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1034×	`*-commutative`
874×	`fma-def`
688×	`associate-r`
606×	`associate-l`
604×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	422
1	130	422
2	404	422
3	2396	422
4	4947	422

Stop Event

1×	node limit

Counts

30 → 28

Calls

Call 1

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

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

localize5.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

eval188.0ms (3.4%)

Compiler: Compiled 9694 to 6617 computations (31.7% saved)

prune78.0ms (1.4%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	462	7	469
Fresh	2	0	2
Picked	0	1	1
Done	1	3	4
Total	465	11	476

Error

Counts

476 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	43.4b	(/.f64 (.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)))))
▶	35.8b	(-.f64 (*.f64 x y) x)
✓	28.2b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	27.1b	(-.f64 918938533204673/1000000000000000 x)
▶	36.5b	(+.f64 (.f64 y x) (.f64 y -1/2))
✓	35.8b	(*.f64 (-.f64 y 1) x)
✓	36.5b	(*.f64 y (-.f64 x 1/2))
▶	54.3b	(*.f64 y x)
▶	45.4b	(*.f64 -1/2 y)
▶	44.4b	(neg.f64 x)
	45.8b	918938533204673/1000000000000000

Compiler

Compiled 143 to 99 computations (30.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x y) x)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (*.f64 x y) x)
0.0ms	x	@	0	(-.f64 (*.f64 x y) x)
0.0ms	x	@	-inf	(-.f64 (*.f64 x y) x)
0.0ms	y	@	0	(-.f64 (*.f64 x y) x)
0.0ms	y	@	-inf	(-.f64 (*.f64 x y) x)

rewrite53.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`add-sqr-sqrt`
1470×	`*-un-lft-identity`
1372×	`add-cube-cbrt`
1358×	`add-cbrt-cube`
1346×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1802	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(-.f64 (*.f64 x y) x)

Outputs

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

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1584×	`associate-+r+`
1102×	`associate-+l+`
732×	`associate-*r/`
706×	`fma-def`
440×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	111	1273
1	284	1193
2	1202	1193
3	4534	1193

Stop Event

1×	node limit

Counts

63 → 53

Calls

Call 1

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

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

localize2.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize4.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (.f64 y -1/2))

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (.f64 y x) (.f64 y -1/2))
0.0ms	y	@	inf	(+.f64 (.f64 y x) (.f64 y -1/2))
0.0ms	y	@	-inf	(+.f64 (.f64 y x) (.f64 y -1/2))
0.0ms	x	@	0	(+.f64 (.f64 y x) (.f64 y -1/2))
0.0ms	x	@	-inf	(+.f64 (.f64 y x) (.f64 y -1/2))

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`add-sqr-sqrt`
1842×	`*-un-lft-identity`
1724×	`add-cube-cbrt`
1708×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	174	13
2	2279	13

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(+.f64 (.f64 y x) (.f64 y -1/2))

Outputs

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

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-+r+`
1104×	`times-frac`
1104×	`associate-/r/`
940×	`associate-+l+`
532×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1429
1	319	1349
2	1264	1313
3	5640	1313

Stop Event

1×	node limit

Counts

67 → 55

Calls

Call 1

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

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

eval24.0ms (0.4%)

Compiler: Compiled 1340 to 677 computations (49.5% saved)

prune19.0ms (0.3%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	8	8
Total	108	11	119

Error

Counts

119 → 11

Alt Table

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Status	Error	Program
▶	43.4b	(/.f64 (.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)))))
✓	35.8b	(-.f64 (*.f64 x y) x)
✓	28.2b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	27.1b	(-.f64 918938533204673/1000000000000000 x)
✓	36.5b	(+.f64 (.f64 y x) (.f64 y -1/2))
✓	35.8b	(*.f64 (-.f64 y 1) x)
✓	36.5b	(*.f64 y (-.f64 x 1/2))
✓	54.3b	(*.f64 y x)
✓	45.4b	(*.f64 -1/2 y)
✓	44.4b	(neg.f64 x)
	45.8b	918938533204673/1000000000000000

Compiler

Compiled 86 to 61 computations (29.1% saved)

localize134.0ms (2.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))
✓	0.1b	(pow.f64 (*.f64 x x) 3)
✓	0.2b	(.f64 (.f64 x x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)))
✓	21.6b	(/.f64 (.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)))))

Compiler

Compiled 95 to 55 computations (42.1% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)))))
1.0ms	x	@	0	(.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)))))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)))))
0.0ms	x	@	inf	(.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))

rewrite353.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`associate-/l/`
412×	`add-sqr-sqrt`
396×	`*-un-lft-identity`
394×	`add-cbrt-cube`
394×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	136
1	439	84
2	5787	60

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)))))
(.f64 (.f64 x x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)))
(pow.f64 (*.f64 x x) 3)
(.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1 x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 918938533204673/1000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 918938533204673/1000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (fma.f64 x (.f64 x (fma.f64 x x 844448027808355901771309036929/1000000000000000000000000000000)) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000) (+.f64 x 918938533204673/1000000000000000))) (/.f64 (pow.f64 x 6) (.f64 (fma.f64 x (.f64 x (fma.f64 x x 844448027808355901771309036929/1000000000000000000000000000000)) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000) (+.f64 x 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (.f64 (/.f64 1 (+.f64 x 918938533204673/1000000000000000)) (/.f64 1 (fma.f64 x (.f64 x (fma.f64 x x 844448027808355901771309036929/1000000000000000000000000000000)) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (/.f64 (/.f64 1 (+.f64 x 918938533204673/1000000000000000)) (fma.f64 x (.f64 x (fma.f64 x x 844448027808355901771309036929/1000000000000000000000000000000)) 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602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))) (/.f64 1 (fma.f64 x (.f64 x (fma.f64 x x 844448027808355901771309036929/1000000000000000000000000000000)) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 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844448027808355901771309036929/1000000000000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x 844448027808355901771309036929/1000000000000000000000000000000)) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000))) (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x 844448027808355901771309036929/1000000000000000000000000000000)) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000)) (+.f64 x 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x x 844448027808355901771309036929/1000000000000000000000000000000)) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000)) 2)) (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x x 844448027808355901771309036929/1000000000000000000000000000000)) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000)) (+.f64 x 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.f64 x 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x 844448027808355901771309036929/1000000000000000000000000000000)) 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simplify335.0ms (6%)

Algorithm

1×	egg-herbie

Rules

866×	`+-commutative`
744×	`associate-r`
724×	`associate-l`
608×	`associate-/r*`
530×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	473	7708
1	1413	6690
2	6394	6690

Stop Event

1×	node limit

Counts

216 → 275

Calls

Call 1

Inputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2))
(+.f64 (*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (pow.f64 x 4))
(+.f64 (*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (pow.f64 x 4))
(+.f64 (*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (pow.f64 x 4))
(pow.f64 x 4)
(+.f64 (*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (pow.f64 x 4))
(+.f64 (*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (pow.f64 x 4))
(+.f64 (*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (pow.f64 x 4))
(pow.f64 x 4)
(+.f64 (*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (pow.f64 x 4))
(+.f64 (*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (pow.f64 x 4))
(+.f64 (*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (pow.f64 x 4))
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
655288149955193325872462096034960659899963610652441237801254450675975814593/1000000000000000000000000000000000000000000000000000000000000000000000000000
(+.f64 655288149955193325872462096034960659899963610652441237801254450675975814593/1000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 x))
(+.f64 655288149955193325872462096034960659899963610652441237801254450675975814593/1000000000000000000000000000000000000000000000000000000000000000000000000000 (+.f64 (.f64 -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 x) (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 2))))
(+.f64 655288149955193325872462096034960659899963610652441237801254450675975814593/1000000000000000000000000000000000000000000000000000000000000000000000000000 (+.f64 (.f64 -844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 x) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 2)))))
(*.f64 -1 (pow.f64 x 5))
(+.f64 (.f64 -1 (pow.f64 x 5)) (.f64 918938533204673/1000000000000000 (pow.f64 x 4)))
(+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (.f64 918938533204673/1000000000000000 (pow.f64 x 4)) (*.f64 -844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 3))))
(+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (.f64 918938533204673/1000000000000000 (pow.f64 x 4)) (+.f64 (.f64 -844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 3)) (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 2)))))
(*.f64 -1 (pow.f64 x 5))
(+.f64 (.f64 -1 (pow.f64 x 5)) (.f64 918938533204673/1000000000000000 (pow.f64 x 4)))
(+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (.f64 918938533204673/1000000000000000 (pow.f64 x 4)) (*.f64 -844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 3))))
(+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (.f64 918938533204673/1000000000000000 (pow.f64 x 4)) (+.f64 (.f64 -844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 3)) (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 2)))))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1 x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) 918938533204673/1000000000000000)
(+.f64 (-.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 x))) 1)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (exp.f64 (log1p.f64 (-.f64 918938533204673/1000000000000000 x))) 1)
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(/.f64 (.f64 (-.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 6)) -1) (*.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (-.f64 -918938533204673/1000000000000000 x)))
(/.f64 (.f64 (-.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 6)) -1) (.f64 1 (.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (-.f64 -918938533204673/1000000000000000 x))))
(/.f64 (.f64 (-.f64 218351576424893481256591023073907143186364958193073216492478351667247827135876952934563866152186084732452167596134641203190508977325664676697244051633010145066388882180918353354430972616850799153568804235951172997032331675858861750773873613633420577923720921178416963969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 9)) -1) (.f64 (+.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 x 6) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (-.f64 -918938533204673/1000000000000000 x)))
(/.f64 (.f64 (-.f64 218351576424893481256591023073907143186364958193073216492478351667247827135876952934563866152186084732452167596134641203190508977325664676697244051633010145066388882180918353354430972616850799153568804235951172997032331675858861750773873613633420577923720921178416963969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 9)) -1) (.f64 1 (.f64 (+.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (-.f64 -918938533204673/1000000000000000 x))))
(/.f64 (.f64 -1 (-.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 6))) (*.f64 (-.f64 -918938533204673/1000000000000000 x) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(/.f64 (.f64 -1 (-.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 6))) (.f64 1 (.f64 (-.f64 -918938533204673/1000000000000000 x) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(/.f64 (.f64 -1 (-.f64 218351576424893481256591023073907143186364958193073216492478351667247827135876952934563866152186084732452167596134641203190508977325664676697244051633010145066388882180918353354430972616850799153568804235951172997032331675858861750773873613633420577923720921178416963969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 9))) (.f64 (-.f64 -918938533204673/1000000000000000 x) (+.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 x 6) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))))
(/.f64 (.f64 -1 (-.f64 218351576424893481256591023073907143186364958193073216492478351667247827135876952934563866152186084732452167596134641203190508977325664676697244051633010145066388882180918353354430972616850799153568804235951172997032331675858861750773873613633420577923720921178416963969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 9))) (.f64 1 (.f64 (-.f64 -918938533204673/1000000000000000 x) (+.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))))
(/.f64 (neg.f64 (-.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 6))) (.f64 (+.f64 x 918938533204673/1000000000000000) (neg.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(/.f64 (neg.f64 (-.f64 218351576424893481256591023073907143186364958193073216492478351667247827135876952934563866152186084732452167596134641203190508977325664676697244051633010145066388882180918353354430972616850799153568804235951172997032331675858861750773873613633420577923720921178416963969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 9))) (.f64 (+.f64 x 918938533204673/1000000000000000) (neg.f64 (+.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 x 6) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))))
(pow.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) 3) (/.f64 1 (pow.f64 (+.f64 x 918938533204673/1000000000000000) 3))))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 x 918938533204673/1000000000000000) 3)) (pow.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) 3) (pow.f64 (+.f64 x 918938533204673/1000000000000000) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))))
(exp.f64 (log.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))))

Outputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 844448027808355901771309036929/1000000000000000000000000000000))
(+.f64 (*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 (*.f64 x 844448027808355901771309036929/1000000000000000000000000000000) x (pow.f64 x 4))
(.f64 (fma.f64 x x 844448027808355901771309036929/1000000000000000000000000000000) (.f64 x x))
(+.f64 (*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 (*.f64 x 844448027808355901771309036929/1000000000000000000000000000000) x (pow.f64 x 4))
(.f64 (fma.f64 x x 844448027808355901771309036929/1000000000000000000000000000000) (.f64 x x))
(+.f64 (*.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 (*.f64 x 844448027808355901771309036929/1000000000000000000000000000000) x (pow.f64 x 4))
(.f64 (fma.f64 x x 844448027808355901771309036929/1000000000000000000000000000000) (.f64 x x))
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(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))) 2)
(*.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))) 3)
(*.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))
(pow.f64 (pow.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000)) 3) 1/3)
(*.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x)) 2))
(fabs.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x)))
(log.f64 (exp.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))))
(*.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000)))))
(*.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000)) 3))
(*.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) 3) (/.f64 1 (pow.f64 (+.f64 x 918938533204673/1000000000000000) 3))))
(*.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 x 918938533204673/1000000000000000) 3)) (pow.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) 3)))
(*.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) 3) (pow.f64 (+.f64 x 918938533204673/1000000000000000) 3)))
(*.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))))
(*.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))
(exp.f64 (log.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))))
(*.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))) 1))
(*.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 x 918938533204673/1000000000000000))))
(*.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 918938533204673/1000000000000000 x))

eval131.0ms (2.4%)

Compiler: Compiled 7410 to 5038 computations (32% saved)

prune44.0ms (0.8%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	274	1	275
Fresh	0	1	1
Picked	1	0	1
Done	0	9	9
Total	275	11	286

Error

Counts

286 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	43.4b	(/.f64 (/.f64 1 (/.f64 (+.f64 x 918938533204673/1000000000000000) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)))))
✓	35.8b	(-.f64 (*.f64 x y) x)
✓	28.2b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	27.1b	(-.f64 918938533204673/1000000000000000 x)
✓	36.5b	(+.f64 (.f64 y x) (.f64 y -1/2))
✓	35.8b	(*.f64 (-.f64 y 1) x)
✓	36.5b	(*.f64 y (-.f64 x 1/2))
✓	54.3b	(*.f64 y x)
✓	45.4b	(*.f64 -1/2 y)
✓	44.4b	(neg.f64 x)
	45.8b	918938533204673/1000000000000000

Compiler

Compiled 84 to 61 computations (27.4% saved)

regimes42.0ms (0.8%)

Counts

17 → 1

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (/.f64 1 (/.f64 (+.f64 x 918938533204673/1000000000000000) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)))))
(/.f64 (.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)))))
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (*.f64 y (+.f64 x -1/2))))

Outputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

Calls

4 calls:

10.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
10.0ms	x
10.0ms	y
9.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)`
0.0b	1	`(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))`

Compiler

Compiled 183 to 121 computations (33.9% saved)

regimes99.0ms (1.8%)

Counts

13 → 1

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)

Calls

4 calls:

64.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
12.0ms	y
11.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
10.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)`
0.0b	1	`(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))`

Compiler

Compiled 100 to 65 computations (35% saved)

regimes42.0ms (0.7%)

Counts

11 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)

Calls

2 calls:

20.0ms	y
19.0ms	x

Results

Error	Segments	Branch
1.3b	3	`x`
1.0b	3	`y`

Compiler

Compiled 56 to 33 computations (41.1% saved)

bsearch23.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	2.130545873260463e-6	0.021947022725052716
9.0ms	-0.000495613950967508	-0.00023068957778602206

Results

20.0ms

208×

body

256

valid

Compiler

Compiled 252 to 196 computations (22.2% saved)

regimes62.0ms (1.1%)

Counts

10 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 y x) (.f64 y -1/2))

Outputs
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))

Calls

2 calls:

18.0ms	x
18.0ms	y

Results

Error	Segments	Branch
2.3b	3	`x`
1.8b	3	`y`

Compiler

Compiled 47 to 28 computations (40.4% saved)

bsearch31.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.891460575662831	120647089.18124937
16.0ms	-187.17986289280256	-0.000495613950967508

Results

27.0ms

288×

body

256

valid

Compiler

Compiled 270 to 212 computations (21.5% saved)

regimes58.0ms (1%)

Counts

5 → 4

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)

Outputs
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1/2 y)

Calls

2 calls:

38.0ms	x
18.0ms	y

Results

Error	Segments	Branch
20.7b	9	`x`
9.2b	4	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch51.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
15.0ms	0.891460575662831	120647089.18124937
17.0ms	-40405160.02889763	-28372.84419937462
19.0ms	-5.187340487505244e+102	-3.9617678685193774e+99

Results

43.0ms	400×	body	256	valid
3.0ms	27×	body	256	infinite

Compiler

Compiled 318 to 248 computations (22% saved)

regimes74.0ms (1.3%)

Counts

4 → 10

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)

Outputs
(neg.f64 x)
(*.f64 y x)
(neg.f64 x)
(*.f64 y x)
(*.f64 -1/2 y)
918938533204673/1000000000000000
(*.f64 -1/2 y)
918938533204673/1000000000000000
(*.f64 y x)
(neg.f64 x)

Calls

2 calls:

38.0ms	y
34.0ms	x

Results

Error	Segments	Branch
22.5b	10	`x`
22.6b	10	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch121.0ms (2.2%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
9.0ms	985897027840.4065	2794263343402.883
17.0ms	2.08175970737913e-17	2.2316518772774717e-11
16.0ms	1.2408451692663963e-57	2.2520957346090554e-48
12.0ms	3.676228497797606e-192	2.3683444356619846e-190
20.0ms	-1.301569519286062e-19	-6.771652338991312e-28
12.0ms	-1654558.1838650694	-56691.42988028052
11.0ms	-3.594469665716339e+28	-3.649512808126937e+27
11.0ms	-8.666707214187892e+185	-3.4866306531335e+185
13.0ms	-5.690080118400626e+206	-3.865770615440326e+205

Results

99.0ms	1008×	body	256	valid
5.0ms	52×	body	256	infinite

Compiler

Compiled 684 to 550 computations (19.6% saved)

regimes51.0ms (0.9%)

Counts

3 → 9

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)

Outputs
(*.f64 -1/2 y)
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)

Calls

2 calls:

30.0ms	y
20.0ms	x

Results

Error	Segments	Branch
25.0b	6	`x`
23.8b	9	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch113.0ms (2%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
15.0ms	0.891460575662831	120647089.18124937
9.0ms	2.0767377624380307e-84	6.893983562557088e-84
22.0ms	1.111221683481244e-141	9.634281201080496e-141
15.0ms	3.221846582497771e-216	8.38839675903696e-209
14.0ms	-2.9924886612711687e-307	2.5752895029607425e-306
17.0ms	-2.795058493626092e-284	-1.0400019362798356e-288
12.0ms	-1.689885818863676e-161	-3.300079994294556e-163
9.0ms	-0.000495613950967508	-0.00023068957778602206

Results

100.0ms

912×

body

256

valid

Compiler

Compiled 559 to 484 computations (13.4% saved)

regimes29.0ms (0.5%)

Accuracy

Total -34.0b remaining (-120.5%)

Threshold costs -34.0b (-120.5%)

Counts

2 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)

Outputs
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)

Calls

2 calls:

19.0ms	y
9.0ms	x

Results

Error	Segments	Branch
28.2b	3	`x`
40.6b	7	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch25.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.3090862113197172	6.537809783774458
12.0ms	-19.239725683673225	-0.5609613737135224

Results

21.0ms

224×

body

256

valid

Compiler

Compiled 144 to 126 computations (12.5% saved)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
16×	`*-commutative`
12×	`sub-neg`
6×	`neg-mul-1`
6×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	475
1	134	475
2	147	475
3	152	475
4	154	475

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(if (<=.f64 y -534955578137577/2305843009213693952) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000) (if (<=.f64 y 1357680363825023/590295810358705651712) (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)))
(if (<=.f64 y -799388933858263/562949953421312) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 6980579422424269/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -6500000000000000394769126047298827942353811590092268899718888770357023389682609150364398271588204544) (.f64 -1/2 y) (if (<=.f64 y -29500) (.f64 y x) (if (<=.f64 y 8106479329266893/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y))))
(if (<=.f64 x -38999999999999998308883465226841135713913741967111447384826634823855903584365370589673334643471016154087374064130307714269862619516113008717071655999190044216826998212738756867697162355424525998514757435392) (neg.f64 x) (if (<=.f64 x -850000000000000012866186942012988713373496681992966531592857064445354613577377345495739028331027404005825936104155276632797983541036682420455737602330408260305136538162248991225405243392) (.f64 y x) (if (<=.f64 x -3700000000000000021676163072) (neg.f64 x) (if (<=.f64 x -57000) (.f64 y x) (if (<=.f64 x -6592970859093183/21267647932558653966460912964485513216) (.f64 -1/2 y) (if (<=.f64 x 6806328192921479/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) 918938533204673/1000000000000000 (if (<=.f64 x 7067388259113537/883423532389192164791648750371459257913741948437809479060803100646309888) (.f64 -1/2 y) (if (<=.f64 x 851083777008699/38685626227668133590597632) 918938533204673/1000000000000000 (if (<=.f64 x 1300000000000) (*.f64 y x) (neg.f64 x))))))))))
(if (<=.f64 y -564931537257355/1152921504606846976) (.f64 -1/2 y) (if (<=.f64 y -229522612567041/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (neg.f64 x) (if (<=.f64 y -7131961289431795/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128) 918938533204673/1000000000000000 (if (<=.f64 y 8602095765560701/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (neg.f64 x) (if (<=.f64 y 2887163429247267/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) 918938533204673/1000000000000000 (if (<=.f64 y 2917539005555509/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (neg.f64 x) (if (<=.f64 y 7436652464262241/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) 918938533204673/1000000000000000 (if (<=.f64 y 7/4) (neg.f64 x) (.f64 -1/2 y)))))))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x 8286623314361713/9007199254740992) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Outputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(if (<=.f64 y -534955578137577/2305843009213693952) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000) (if (<=.f64 y 1357680363825023/590295810358705651712) (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)))
(if (or (<=.f64 y -534955578137577/2305843009213693952) (not (<=.f64 y 1357680363825023/590295810358705651712))) (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) (.f64 y 1/2))) (-.f64 918938533204673/1000000000000000 x))
(if (or (<=.f64 y -534955578137577/2305843009213693952) (not (<=.f64 y 1357680363825023/590295810358705651712))) (+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 y -1/2))) (-.f64 918938533204673/1000000000000000 x))
(if (<=.f64 y -799388933858263/562949953421312) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 6980579422424269/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -799388933858263/562949953421312) (not (<=.f64 y 6980579422424269/4503599627370496))) (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(if (<=.f64 y -6500000000000000394769126047298827942353811590092268899718888770357023389682609150364398271588204544) (.f64 -1/2 y) (if (<=.f64 y -29500) (.f64 y x) (if (<=.f64 y 8106479329266893/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y))))
(if (<=.f64 y -6500000000000000394769126047298827942353811590092268899718888770357023389682609150364398271588204544) (.f64 y -1/2) (if (<=.f64 y -29500) (.f64 y x) (if (<=.f64 y 8106479329266893/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2))))
(if (<=.f64 x -38999999999999998308883465226841135713913741967111447384826634823855903584365370589673334643471016154087374064130307714269862619516113008717071655999190044216826998212738756867697162355424525998514757435392) (neg.f64 x) (if (<=.f64 x -850000000000000012866186942012988713373496681992966531592857064445354613577377345495739028331027404005825936104155276632797983541036682420455737602330408260305136538162248991225405243392) (.f64 y x) (if (<=.f64 x -3700000000000000021676163072) (neg.f64 x) (if (<=.f64 x -57000) (.f64 y x) (if (<=.f64 x -6592970859093183/21267647932558653966460912964485513216) (.f64 -1/2 y) (if (<=.f64 x 6806328192921479/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) 918938533204673/1000000000000000 (if (<=.f64 x 7067388259113537/883423532389192164791648750371459257913741948437809479060803100646309888) (.f64 -1/2 y) (if (<=.f64 x 851083777008699/38685626227668133590597632) 918938533204673/1000000000000000 (if (<=.f64 x 1300000000000) (*.f64 y x) (neg.f64 x))))))))))
(if (<=.f64 x -38999999999999998308883465226841135713913741967111447384826634823855903584365370589673334643471016154087374064130307714269862619516113008717071655999190044216826998212738756867697162355424525998514757435392) (neg.f64 x) (if (<=.f64 x -850000000000000012866186942012988713373496681992966531592857064445354613577377345495739028331027404005825936104155276632797983541036682420455737602330408260305136538162248991225405243392) (.f64 y x) (if (<=.f64 x -3700000000000000021676163072) (neg.f64 x) (if (<=.f64 x -57000) (.f64 y x) (if (<=.f64 x -6592970859093183/21267647932558653966460912964485513216) (.f64 y -1/2) (if (<=.f64 x 6806328192921479/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) 918938533204673/1000000000000000 (if (<=.f64 x 7067388259113537/883423532389192164791648750371459257913741948437809479060803100646309888) (.f64 y -1/2) (if (<=.f64 x 851083777008699/38685626227668133590597632) 918938533204673/1000000000000000 (if (<=.f64 x 1300000000000) (*.f64 y x) (neg.f64 x))))))))))
(if (<=.f64 y -564931537257355/1152921504606846976) (.f64 -1/2 y) (if (<=.f64 y -229522612567041/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (neg.f64 x) (if (<=.f64 y -7131961289431795/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128) 918938533204673/1000000000000000 (if (<=.f64 y 8602095765560701/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (neg.f64 x) (if (<=.f64 y 2887163429247267/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) 918938533204673/1000000000000000 (if (<=.f64 y 2917539005555509/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (neg.f64 x) (if (<=.f64 y 7436652464262241/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) 918938533204673/1000000000000000 (if (<=.f64 y 7/4) (neg.f64 x) (.f64 -1/2 y)))))))))
(if (<=.f64 y -564931537257355/1152921504606846976) (.f64 y -1/2) (if (<=.f64 y -229522612567041/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (neg.f64 x) (if (<=.f64 y -7131961289431795/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128) 918938533204673/1000000000000000 (if (<=.f64 y 8602095765560701/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (neg.f64 x) (if (<=.f64 y 2887163429247267/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) 918938533204673/1000000000000000 (if (<=.f64 y 2917539005555509/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (neg.f64 x) (if (<=.f64 y 7436652464262241/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) 918938533204673/1000000000000000 (if (<=.f64 y 7/4) (neg.f64 x) (.f64 y -1/2)))))))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x 8286623314361713/9007199254740992) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Compiler

Compiled 219 to 148 computations (32.4% saved)

soundness222.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1392×	`fma-def`
764×	`associate-+l+`
706×	`associate-+l-`
678×	`associate--r+`
540×	`associate-+r+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	30	27
2	66	23
3	126	23
4	263	21
5	614	21
6	1497	21
7	2817	21
8	3922	21
9	4054	21
10	4081	21

Stop Event

1×

saturated

Compiler

Compiled 222 to 160 computations (27.9% saved)

end91.0ms (1.6%)

Compiler: Compiled 203 to 128 computations (36.9% saved)

Details

analyze66.0ms (1.2%)

sample1.0s (18.2%)

preprocess140.0ms (2.5%)

simplify74.0ms (1.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize15.0ms (0.3%)

series4.0ms (0.1%)

rewrite146.0ms (2.6%)

simplify230.0ms (4.1%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite87.0ms (1.6%)

simplify115.0ms (2.1%)

eval313.0ms (5.6%)

prune185.0ms (3.3%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite93.0ms (1.7%)

simplify153.0ms (2.8%)

localize3.0ms (0.1%)

localize7.0ms (0.1%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite89.0ms (1.6%)

simplify60.0ms (1.1%)

localize5.0ms (0.1%)

eval188.0ms (3.4%)

prune78.0ms (1.4%)

localize4.0ms (0.1%)

series2.0ms (0%)

rewrite53.0ms (1%)

simplify60.0ms (1.1%)

localize2.0ms (0%)

localize4.0ms (0.1%)

localize3.0ms (0%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite57.0ms (1%)

simplify63.0ms (1.1%)

eval24.0ms (0.4%)

prune19.0ms (0.3%)

localize134.0ms (2.4%)

series6.0ms (0.1%)

rewrite353.0ms (6.4%)

simplify335.0ms (6%)

eval131.0ms (2.4%)

prune44.0ms (0.8%)

regimes42.0ms (0.8%)

regimes99.0ms (1.8%)

regimes42.0ms (0.7%)

bsearch23.0ms (0.4%)

regimes62.0ms (1.1%)

bsearch31.0ms (0.6%)

regimes58.0ms (1%)

bsearch51.0ms (0.9%)

regimes74.0ms (1.3%)

bsearch121.0ms (2.2%)

regimes51.0ms (0.9%)

bsearch113.0ms (2%)

regimes29.0ms (0.5%)

bsearch25.0ms (0.4%)

simplify17.0ms (0.3%)

soundness222.0ms (4%)

end91.0ms (1.6%)

Profiling