Details

analyze263.0ms (6.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
40.6%	59.3%	0.1%	7
57.8%	42.1%	0.1%	8
63.2%	36.7%	0.1%	9
72.2%	25.8%	2%	10
75.1%	21.7%	3.2%	11
79.7%	14.2%	6%	12
81.2%	11.7%	7.1%	13
83.5%	7.5%	9%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.1s (27.9%)

Results

1.0s	8256×	body	128	valid
45.0ms	334×	body	128	invalid

preprocess59.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1036×	`fma-def_binary64`
369×	`distribute-rgt-in_binary64`
349×	`times-frac_binary64`
322×	`distribute-lft-in_binary64`
310×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	38	28
2	66	28
3	170	28
4	365	28
5	820	28
6	1235	28
7	1544	28
8	2721	28
9	3468	28
10	4344	28
11	4895	28
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(/.f64 (*.f64 y (+.f64 (/.f64 y x) 1)) (+.f64 y 1))

Outputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
(/.f64 (*.f64 y (+.f64 (/.f64 y x) 1)) (+.f64 y 1))
(/.f64 y (/.f64 (+.f64 y 1) (+.f64 1 (/.f64 y x))))
(/.f64 (fma.f64 y (/.f64 y x) y) (+.f64 y 1))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

971×	`fma-def_binary64`
587×	`distribute-rgt-in_binary64`
569×	`distribute-lft-in_binary64`
406×	`unswap-sqr_binary64`
398×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	22	14
2	36	14
3	81	14
4	143	14
5	287	14
6	742	14
7	1081	14
8	1605	14
9	1832	14
10	2262	14
11	2926	14
12	3255	14
13	3794	14

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

Outputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))

eval1.0ms (0%)

Compiler: Compiled 23 to 13 computations (43.5% saved)

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

12.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.1b	(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))

Compiler

Compiled 24 to 14 computations (41.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (/.f64 x y) x)
✓	11.3b	(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))

series10.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(fma.f64 x (/.f64 x y) x)
1.0ms	x	@	inf	(fma.f64 x (/.f64 x y) x)
1.0ms	y	@	0	(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
1.0ms	y	@	inf	(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
1.0ms	x	@	0	(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))

rewrite52.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

447×	`log-prod_binary64`
199×	`prod-diff_binary64`
164×	`pow1/3_binary64`
158×	`log1p-udef_binary64`
157×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	175	22
2	2459	22

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
(fma.f64 x (/.f64 x y) x)

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

Outputs

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

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

simplify32.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

630×	`associate--l+_binary64`
319×	`associate-l_binary64`
264×	`associate-r_binary64`
251×	`associate--r+_binary64`
248×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	699
1	158	699
2	446	643
3	1907	607

Stop Event

1×	node limit

Counts

117 → 95

Calls

Call 1

Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 (/.f64 (pow.f64 x 2) y) x)

Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) x)
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x)
(+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x))
(+.f64 x (.f64 (.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 -1 x))))
(+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x) (*.f64 (+.f64 (/.f64 x y) (neg.f64 x)) (+.f64 x (pow.f64 x 3))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 -1 x) 1) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (.f64 y (.f64 x x))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x y))) (-.f64 (/.f64 1 (.f64 x x)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (.f64 x (.f64 x y)))))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x y))) (+.f64 (+.f64 1 (/.f64 1 (.f64 x x))) (+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (.f64 x (.f64 x y)))) (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))) (-.f64 (.f64 (+.f64 (/.f64 -1 x) 1) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (.f64 x (.f64 x y)))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 -1 x) 1) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (.f64 y (.f64 x x))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x y))) (-.f64 (/.f64 1 (.f64 x x)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (.f64 x (.f64 x y)))))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x y))) (+.f64 (+.f64 1 (/.f64 1 (.f64 x x))) (+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (.f64 x (.f64 x y)))) (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))) (-.f64 (.f64 (+.f64 (/.f64 -1 x) 1) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (.f64 x (.f64 x y)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 (.f64 x x) (+.f64 y (.f64 x y)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 x 1))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 x 1))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 x 1))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 x (/.f64 (pow.f64 x 2) y))
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
x
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) y) x)
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 x (/.f64 x (/.f64 y x)))
(+.f64 x (*.f64 x (/.f64 x y)))

eval23.0ms (0.6%)

Compiler: Compiled 1532 to 712 computations (53.5% saved)

prune85.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	90	5	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	6	96

Error

Counts

96 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	40.6b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) 3))
▶	15.2b	(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
	37.3b	(/.f64 x (/.f64 (fma.f64 x y y) x))
	31.1b	(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
	35.2b	(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))) (-.f64 (.f64 (+.f64 (/.f64 -1 x) 1) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (.f64 x (.f64 x y)))))
✓	12.1b	(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))

Compiler

Compiled 184 to 125 computations (32.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 1 x))
✓	0.0b	(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
✓	0.0b	(*.f64 (+.f64 1 x) y)
✓	18.8b	(/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))

series13.0ms (0.3%)

Counts

4 → 63

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))
2.0ms	y	@	-inf	(*.f64 (+.f64 1 x) y)
1.0ms	y	@	0	(/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))
1.0ms	y	@	inf	(/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))
1.0ms	x	@	0	(/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))

rewrite81.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`fma-def_binary64`
298×	`fma-neg_binary64`
222×	`expm1-udef_binary64`
222×	`log1p-udef_binary64`
130×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	254	49
2	3948	43

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))
(*.f64 (+.f64 1 x) y)
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))

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

simplify50.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

444×	`fma-neg_binary64`
397×	`sub-neg_binary64`
382×	`times-frac_binary64`
295×	`cancel-sign-sub-inv_binary64`
242×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	863
1	244	829
2	706	825
3	2710	773

Stop Event

1×	node limit

Counts

270 → 257

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
y
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 1 x))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))

Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y))
(-.f64 (/.f64 x (/.f64 y x)) (/.f64 (pow.f64 x 3) y))
(-.f64 (*.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 3) y))
(*.f64 (/.f64 x y) (fma.f64 x (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y)) (/.f64 (pow.f64 x 4) y))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y)))
(+.f64 (-.f64 (*.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 4) y))
(fma.f64 x (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 x -1)))
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 (pow.f64 x 4) y) (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (fma.f64 -1 (/.f64 (pow.f64 x 5) y) (/.f64 (*.f64 x x) y))))
(+.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (-.f64 (/.f64 x (/.f64 y x)) (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 3) y)))
(+.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (/.f64 (pow.f64 x 3) y) (/.f64 (pow.f64 x 5) y))))
(-.f64 (fma.f64 x (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 x -1))) (/.f64 (pow.f64 x 5) y))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 1 x) y) (/.f64 -1 y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 (*.f64 x x) y))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 x (*.f64 x y))))))
(+.f64 (/.f64 -1 y) (+.f64 (/.f64 -1 (.f64 (.f64 x x) y)) (+.f64 (/.f64 x y) (/.f64 (/.f64 1 x) y))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (.f64 x y)) (/.f64 -1 (.f64 x (*.f64 x y)))) (/.f64 -1 y)))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 x y) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 y)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 1 x) y) (/.f64 -1 y)))
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 (*.f64 x x) y))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 x (*.f64 x y))))))
(+.f64 (/.f64 -1 y) (+.f64 (/.f64 -1 (.f64 (.f64 x x) y)) (+.f64 (/.f64 x y) (/.f64 (/.f64 1 x) y))))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (.f64 x y)) (/.f64 -1 (.f64 x (*.f64 x y)))) (/.f64 -1 y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
y
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(fma.f64 x y y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(fma.f64 x y y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(fma.f64 x y y)
(*.f64 y x)
(*.f64 x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 x y y)
(*.f64 y x)
(*.f64 x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 x y y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 x y y)
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x)
(fma.f64 x (-.f64 (*.f64 x (/.f64 1 y)) x) x)
(+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x))
(fma.f64 x (*.f64 x (+.f64 -1 (/.f64 1 y))) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) x))
(+.f64 x (.f64 (.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
(+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (pow.f64 x 4) (+.f64 -1 (/.f64 1 y)) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x)))
(fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (pow.f64 x 4) (+.f64 -1 (/.f64 1 y)) (fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x)))
(+.f64 (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) x) (*.f64 (+.f64 -1 (/.f64 1 y)) (fma.f64 x x (pow.f64 x 4))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 x y) 1) (-.f64 (-.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 x)) (/.f64 1 y)))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1 (.f64 x y))) (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (.f64 (.f64 x x) y)) (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 1 (.f64 x y)) (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (.f64 x (.f64 x y))) (/.f64 1 x))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 (.f64 x x)))) (-.f64 (/.f64 x y) (+.f64 (/.f64 1 (.f64 (*.f64 x x) y)) (+.f64 (/.f64 1 y) (/.f64 1 x)))))
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))) (.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y)))) (/.f64 -1 (.f64 x (.f64 x y))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 x y) 1) (-.f64 (-.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 x)) (/.f64 1 y)))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1 (.f64 x y))) (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (.f64 (.f64 x x) y)) (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 1 (.f64 x y)) (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (.f64 x (.f64 x y))) (/.f64 1 x))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 (.f64 x x)))) (-.f64 (/.f64 x y) (+.f64 (/.f64 1 (.f64 (*.f64 x x) y)) (+.f64 (/.f64 1 y) (/.f64 1 x)))))
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))) (.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y)))) (/.f64 -1 (.f64 x (.f64 x y))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(-.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x (neg.f64 x) x))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x))))

eval82.0ms (2.1%)

Compiler: Compiled 5272 to 2723 computations (48.3% saved)

prune778.0ms (20.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	254	3	257
Fresh	4	0	4
Picked	0	1	1
Done	1	0	1
Total	259	4	263

Error

Counts

263 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y) (/.f64 x (+.f64 x 1)))
✓	15.2b	(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
	2.2b	(fma.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) (/.f64 1 y) (/.f64 x (+.f64 x 1)))
	5.0b	(fma.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)) 1 (/.f64 x (+.f64 x 1)))

Compiler

Compiled 119 to 76 computations (36.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite49.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

919×	`log1p-expm1-u_binary64`
919×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
88×	`*-un-lft-identity_binary64`
88×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	174	27
2	2444	27

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(fma.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 x 1))

Outputs

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

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

simplify34.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

351×	`associate-l_binary64`
327×	`sub-neg_binary64`
285×	`associate-r_binary64`
242×	`fma-neg_binary64`
220×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	637
1	200	633
2	575	573
3	2307	530

Stop Event

1×	node limit

Counts

94 → 93

Calls

Call 1

Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))

Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(+.f64 x (.f64 x (.f64 x (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1)))))
(+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x (pow.f64 x 3))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (+.f64 1 (/.f64 x y)) (/.f64 -1 y))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 x y) (+.f64 1 (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 -1 y) (/.f64 -1 x)))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 -1 x))) 1))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (.f64 y (.f64 x x))))))
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x y))) (/.f64 1 (.f64 x x))) (-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (.f64 x (.f64 x y))))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (.f64 x x)) (-.f64 (+.f64 (/.f64 1 (.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 -1 x))) (/.f64 1 (.f64 x (.f64 x y)))))))
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))) (.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y)))) (/.f64 -1 (.f64 x (.f64 x y))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 (+.f64 1 (/.f64 x y)) (/.f64 -1 y))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 x y) (+.f64 1 (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 -1 y) (/.f64 -1 x)))
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 -1 x))) 1))
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (.f64 y (.f64 x x))))))
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x y))) (/.f64 1 (.f64 x x))) (-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (.f64 x (.f64 x y))))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (.f64 x x)) (-.f64 (+.f64 (/.f64 1 (.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 -1 x))) (/.f64 1 (.f64 x (.f64 x y)))))))
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))) (.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y)))) (/.f64 -1 (.f64 x (.f64 x y))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (.f64 (.f64 x x) (+.f64 -1 x)))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(fma.f64 (*.f64 x x) (+.f64 x -1) x)
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(.f64 (fma.f64 x x 1) (-.f64 x (.f64 x x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))

eval48.0ms (1.2%)

Compiler: Compiled 2663 to 1550 computations (41.8% saved)

prune296.0ms (7.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	141	4	145

Error

Counts

145 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(fma.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y) (/.f64 x (+.f64 x 1)))
✓	15.2b	(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
▶	2.2b	(fma.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) (/.f64 1 y) (/.f64 x (+.f64 x 1)))
	5.0b	(fma.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)) 1 (/.f64 x (+.f64 x 1)))

Compiler

Compiled 103 to 66 computations (35.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 x 1))
✓	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.1b	(/.f64 x (/.f64 (+.f64 x 1) x))
✓	2.2b	(fma.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) (/.f64 1 y) (/.f64 x (+.f64 x 1)))

series5.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite60.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

368×	`prod-diff_binary64`
193×	`log1p-udef_binary64`
192×	`expm1-udef_binary64`
167×	`log-pow_binary64`
167×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	222	39
2	3117	39

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs
(fma.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) (/.f64 1 y) (/.f64 x (+.f64 x 1)))
(/.f64 x (/.f64 (+.f64 x 1) x))
(/.f64 (+.f64 x 1) x)

Outputs

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

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

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

simplify37.0ms (1%)

Algorithm

1×	egg-herbie

Rules

406×	`associate-l_binary64`
319×	`sub-neg_binary64`
308×	`fma-neg_binary64`
246×	`fma-def_binary64`
215×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	688
1	205	680
2	602	624
3	2406	584

Stop Event

1×	node limit

Counts

155 → 146

Calls

Call 1

Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(/.f64 x (+.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 4) (pow.f64 x 2))))
x
(-.f64 x 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
x
(-.f64 x 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))

Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x))
(+.f64 x (.f64 (.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x -1))))
(+.f64 (.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)))
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x (pow.f64 x 3))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 x)))))
(+.f64 (/.f64 1 (*.f64 x y)) (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) (/.f64 -1 x)))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 -1 x) 1) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (.f64 y (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x y))) (/.f64 1 (.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (.f64 y (.f64 x x))))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (.f64 x y)) (/.f64 1 (.f64 x x))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (.f64 x (.f64 x y))))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (.f64 x y)) (/.f64 1 (.f64 x x))) (+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 x)) (/.f64 -1 (.f64 x (.f64 x y)))))))
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))) (.f64 (+.f64 (/.f64 -1 x) 1) (+.f64 1 (/.f64 -1 y)))) (/.f64 -1 (.f64 x (.f64 x y))))
(/.f64 x y)
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y))
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 x)))))
(+.f64 (/.f64 1 (*.f64 x y)) (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) (/.f64 -1 x)))))
(+.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 -1 x) 1) (+.f64 1 (/.f64 -1 y))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (.f64 y (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x y))) (/.f64 1 (.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (.f64 y (.f64 x x))))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (.f64 x y)) (/.f64 1 (.f64 x x))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (.f64 x (.f64 x y))))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (.f64 x y)) (/.f64 1 (.f64 x x))) (+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 x)) (/.f64 -1 (.f64 x (.f64 x y)))))))
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (.f64 x x))) (.f64 (+.f64 (/.f64 -1 x) 1) (+.f64 1 (/.f64 -1 y)))) (/.f64 -1 (.f64 x (.f64 x y))))
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x)))
(/.f64 (.f64 x x) (.f64 y (+.f64 x 1)))
(/.f64 (.f64 x x) (+.f64 y (.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/.f64 (*.f64 x x) (fma.f64 x y y))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (.f64 y (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 y (.f64 x y))))
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 -1 (pow.f64 x 3) (*.f64 x x))
(-.f64 (*.f64 x x) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (*.f64 x x) (pow.f64 x 4)))
(-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))
(.f64 (.f64 x x) (-.f64 (fma.f64 x x 1) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 4) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 5) (+.f64 (*.f64 x x) (pow.f64 x 4))))
(-.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 5)) (pow.f64 x 3))
(-.f64 (fma.f64 x x (pow.f64 x 4)) (+.f64 (pow.f64 x 3) (pow.f64 x 5)))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (+.f64 x -1))
(-.f64 x (-.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 x (/.f64 1 x)) (+.f64 1 (/.f64 1 (*.f64 x x))))
(+.f64 x (-.f64 (/.f64 1 x) (+.f64 1 (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 x -1) (/.f64 1 (*.f64 x x))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (+.f64 x -1))
(-.f64 x (-.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 x (/.f64 1 x)) (+.f64 1 (/.f64 1 (*.f64 x x))))
(+.f64 x (-.f64 (/.f64 1 x) (+.f64 1 (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 x -1) (/.f64 1 (*.f64 x x))))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))

eval81.0ms (2.1%)

Compiler: Compiled 3943 to 2603 computations (34% saved)

prune506.0ms (13.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	194	4	198

Error

Counts

198 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(fma.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y) (/.f64 x (+.f64 x 1)))
✓	15.2b	(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))
✓	2.2b	(fma.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) (/.f64 1 y) (/.f64 x (+.f64 x 1)))
	5.0b	(fma.f64 (/.f64 x (/.f64 (fma.f64 x y y) x)) 1 (/.f64 x (+.f64 x 1)))

Compiler

Compiled 68 to 44 computations (35.3% saved)

regimes22.0ms (0.6%)

Accuracy

Total -63.5b remaining (-133674.9%)

Threshold costs -63.5b (-133674.9%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y) (/.f64 x (+.f64 x 1)))

Results

Time	Error	Segments	Branch
6.0ms	0.0b	1	`x`
6.0ms	0.0b	1	`y`
7.0ms	0.0b	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))`

Compiler

Compiled 163 to 94 computations (42.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	11	20

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y) (/.f64 x (+.f64 x 1)))

Outputs
(fma.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y) (/.f64 x (+.f64 x 1)))

end16.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 32 to 20 computations (37.5% saved)

Details

analyze263.0ms (6.8%)

sample1.1s (27.9%)

preprocess59.0ms (1.5%)

simplify41.0ms (1.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series10.0ms (0.3%)

rewrite52.0ms (1.4%)

simplify32.0ms (0.8%)

eval23.0ms (0.6%)

prune85.0ms (2.2%)

localize8.0ms (0.2%)

series13.0ms (0.3%)

rewrite81.0ms (2.1%)

simplify50.0ms (1.3%)

eval82.0ms (2.1%)

prune778.0ms (20.3%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite49.0ms (1.3%)

simplify34.0ms (0.9%)

eval48.0ms (1.2%)

prune296.0ms (7.7%)

localize12.0ms (0.3%)

series5.0ms (0.1%)

rewrite60.0ms (1.6%)

simplify37.0ms (1%)

eval81.0ms (2.1%)

prune506.0ms (13.2%)

regimes22.0ms (0.6%)

simplify3.0ms (0.1%)

end16.0ms (0.4%)

Profiling