Details

analyze201.0ms (7%)

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)

sample812.0ms (28.3%)

Results

770.0ms	8256×	body	128	valid
30.0ms	343×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

preprocess52.0ms (1.8%)

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)

simplify38.0ms (1.3%)

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))

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

8.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	8.6b	(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))

Compiler

Compiled 47 to 27 computations (42.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (/.f64 x y) x)
✓	7.9b	(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))

series9.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

rewrite46.0ms (1.6%)

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 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 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 +.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 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)))))) (#(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))))))

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 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 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 +.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 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)))))) (#(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))))))

simplify29.0ms (1%)

Algorithm

1×	egg-herbie

Rules

828×	`fma-def_binary64`
530×	`associate-+l-_binary64`
372×	`cancel-sign-sub-inv_binary64`
348×	`associate--r+_binary64`
317×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	711
1	131	707
2	420	649
3	1743	585

Stop Event

1×	node limit

Counts

117 → 93

Calls

Call 1

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

prune59.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	7	94

Error

0.0b

Counts

94 → 7

Alt Table

Status	Error	Program
	36.6b	(*.f64 (/.f64 x (fma.f64 x y y)) x)
	41.0b	(/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))
	38.0b	(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
▶	26.4b	(-.f64 x (*.f64 x (-.f64 x (/.f64 x y))))
	43.6b	(/.f64 (/.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)))) (+.f64 x 1))
	35.2b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) 3))
	31.9b	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))) 2)

Compiler

Compiled 1718 to 792 computations (53.9% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 x (-.f64 x (/.f64 x y))))
✓	0.0b	(-.f64 x (/.f64 x y))
✓	0.1b	(*.f64 x (-.f64 x (/.f64 x y)))

series8.0ms (0.3%)

Counts

3 → 63

Calls

18 calls:

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

rewrite73.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
430×	`fma-def_binary64`
164×	`expm1-udef_binary64`
164×	`log1p-udef_binary64`
158×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	168	30
2	2694	30

Stop Event

1×	node limit

Counts

3 → 236

Calls

Call 1

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

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

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

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

558×	`fma-def_binary64`
329×	`fma-neg_binary64`
235×	`unsub-neg_binary64`
228×	`cancel-sign-sub-inv_binary64`
195×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	754
1	59	754
2	141	661
3	372	559
4	1213	559
5	3822	559

Stop Event

1×	node limit

Counts

299 → 258

Calls

Call 1

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

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

prune194.0ms (6.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	255	3	258
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	258	7	265

Error

0.0b

Counts

265 → 7

Alt Table

Status	Error	Program
	36.6b	(*.f64 (/.f64 x (fma.f64 x y y)) x)
	26.5b	(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2)) (cbrt.f64 (-.f64 x (/.f64 x y))) x)
	38.0b	(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
▶	26.4b	(fma.f64 x (-.f64 1 (-.f64 x (/.f64 x y))) (fma.f64 (neg.f64 x) (-.f64 x (/.f64 x y)) (*.f64 x (-.f64 x (/.f64 x y)))))
	41.0b	(/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))
	29.3b	(-.f64 x (.f64 x (.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 x (/.f64 x y))))))
	43.6b	(/.f64 (/.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)))) (+.f64 x 1))

Compiler

Compiled 5384 to 1403 computations (73.9% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (/.f64 x y))
✓	0.1b	(fma.f64 x (-.f64 1 (-.f64 x (/.f64 x y))) (fma.f64 (neg.f64 x) (-.f64 x (/.f64 x y)) (*.f64 x (-.f64 x (/.f64 x y)))))
	0.1b	(*.f64 x (-.f64 x (/.f64 x y)))
✓	50.5b	(fma.f64 (neg.f64 x) (-.f64 x (/.f64 x y)) (*.f64 x (-.f64 x (/.f64 x y))))

series10.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

rewrite52.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

426×	`fma-def_binary64`
196×	`expm1-udef_binary64`
196×	`log1p-udef_binary64`
193×	`fma-neg_binary64`
128×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	244	39
2	3656	39

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(fma.f64 (neg.f64 x) (-.f64 x (/.f64 x y)) (*.f64 x (-.f64 x (/.f64 x y))))
(fma.f64 x (-.f64 1 (-.f64 x (/.f64 x y))) (fma.f64 (neg.f64 x) (-.f64 x (/.f64 x y)) (*.f64 x (-.f64 x (/.f64 x y)))))

Outputs

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

simplify31.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

624×	`fma-neg_binary64`
414×	`cancel-sign-sub-inv_binary64`
333×	`distribute-rgt-in_binary64`
286×	`distribute-lft-in_binary64`
234×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	360
1	28	360
2	59	360
3	149	300
4	492	264
5	2086	264

Stop Event

1×	node limit

Counts

99 → 61

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
x
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) y)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 x (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 x (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))

Outputs
0
0
0
0
0
0
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0
0
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0
0
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0
0
0
0
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0
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0
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x
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
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(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))
(.f64 (.f64 x x) (+.f64 (/.f64 1 y) -1))
(.f64 x (.f64 x (+.f64 (/.f64 1 y) -1)))
(*.f64 x (-.f64 (/.f64 x y) x))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))
(.f64 (.f64 x x) (+.f64 (/.f64 1 y) -1))
(.f64 x (.f64 x (+.f64 (/.f64 1 y) -1)))
(*.f64 x (-.f64 (/.f64 x y) x))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
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(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
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(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 x (/.f64 x y))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 x (pow.f64 x 2))
(-.f64 x (*.f64 x x))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 x (pow.f64 x 2))
(-.f64 x (*.f64 x x))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) y) x) (pow.f64 x 2))
(+.f64 (/.f64 (.f64 x x) y) (-.f64 x (.f64 x x)))
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 (.f64 x x) y) (.f64 x x)))
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)

prune273.0ms (9.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	423	0	423
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	423	7	430

Error

0.0b

Counts

430 → 7

Alt Table

Status	Error	Program
	36.6b	(*.f64 (/.f64 x (fma.f64 x y y)) x)
▶	26.5b	(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2)) (cbrt.f64 (-.f64 x (/.f64 x y))) x)
	38.0b	(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
✓	26.4b	(fma.f64 x (-.f64 1 (-.f64 x (/.f64 x y))) (fma.f64 (neg.f64 x) (-.f64 x (/.f64 x y)) (*.f64 x (-.f64 x (/.f64 x y)))))
	41.0b	(/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))
	29.3b	(-.f64 x (.f64 x (.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 x (/.f64 x y))))))
	43.6b	(/.f64 (/.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)))) (+.f64 x 1))

Compiler

Compiled 13879 to 3309 computations (76.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2)) (cbrt.f64 (-.f64 x (/.f64 x y))) x)
✓	0.1b	(*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2))
✓	0.5b	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2)
✓	0.5b	(cbrt.f64 (-.f64 x (/.f64 x y)))

series25.0ms (0.9%)

Counts

4 → 36

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2))
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2)
2.0ms	y	@	inf	(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2)) (cbrt.f64 (-.f64 x (/.f64 x y))) x)
2.0ms	y	@	inf	(*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2))
1.0ms	y	@	inf	(cbrt.f64 (-.f64 x (/.f64 x y)))

rewrite57.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`prod-diff_binary64`
123×	`add-sqr-sqrt_binary64`
118×	`pow1_binary64`
117×	`*-un-lft-identity_binary64`
115×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	67
1	243	49
2	3334	49

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

Inputs
(cbrt.f64 (-.f64 x (/.f64 x y)))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2)
(*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2)) (cbrt.f64 (-.f64 x (/.f64 x y))) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x (/.f64 x y)) 1/6) (pow.f64 (+.f64 x (/.f64 x y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 x y))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 x y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2) (cbrt.f64 (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 x y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 x y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 x (/.f64 x y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (/.f64 x y))) (cbrt.f64 (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))) (cbrt.f64 (+.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (/.f64 x y))) (pow.f64 (+.f64 x (/.f64 x y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x (/.f64 x y)) 1/6) (.f64 (pow.f64 (+.f64 x (/.f64 x y)) 1/6) (cbrt.f64 (+.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (/.f64 x y))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 4) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 x (/.f64 x y)) 2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 x (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 x (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (+.f64 x (/.f64 x y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 x (+.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y))))) (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y))))) 2) (cbrt.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y))))) (sqrt.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x (/.f64 x y))) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 x (+.f64 x (/.f64 x y))) (.f64 x (+.f64 x (/.f64 x y)))) (-.f64 (.f64 x x) (.f64 (.f64 x (+.f64 x (/.f64 x y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (+.f64 x (/.f64 x y))) (.f64 x (+.f64 x (/.f64 x y)))) (.f64 x x)) (-.f64 (.f64 x (+.f64 x (/.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (.f64 x (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 x (*.f64 x (+.f64 x (/.f64 x y))))) 1))))))

simplify49.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

556×	`times-frac_binary64`
342×	`cancel-sign-sub-inv_binary64`
327×	`associate-*l/_binary64`
297×	`associate-/r*_binary64`
287×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	2184
1	519	1936
2	1949	1908

Stop Event

1×	node limit

Counts

119 → 116

Calls

Call 1

Inputs
(pow.f64 x 1/3)
(-.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 7) 1/9))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 7) 1/9))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 11) 1/9)))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 7) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 11) 1/9))) (.f64 5/81 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 5) 1/3))))))
(pow.f64 x 1/3)
(-.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 7) 1/9))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 7) 1/9))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 11) 1/9)))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 7) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 11) 1/9))) (.f64 5/81 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 5) 1/3))))))
(pow.f64 (pow.f64 x 2) 1/3)
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 10) 1/9))))
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 10) 1/9))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 14) 1/9)))))
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 10) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 14) 1/9))) (*.f64 4/81 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(pow.f64 (pow.f64 x 2) 1/3)
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 10) 1/9))))
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 10) 1/9))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 14) 1/9)))))
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 10) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 14) 1/9))) (*.f64 4/81 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(*.f64 -1 (pow.f64 (pow.f64 x 5) 1/3))
(-.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 23) 1/9))) (pow.f64 (pow.f64 x 5) 1/3))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 23) 1/9))) (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 31) 1/9)))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 5) 1/3))) (pow.f64 (pow.f64 x 5) 1/3)))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 23) 1/9))) (+.f64 (.f64 40/81 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 13) 1/3))) (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 31) 1/9))))) (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 23) 1/9))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 5) 1/3))) (pow.f64 (pow.f64 x 5) 1/3))))
(*.f64 -1 (pow.f64 (pow.f64 x 5) 1/3))
(-.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 23) 1/9))) (pow.f64 (pow.f64 x 5) 1/3))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 23) 1/9))) (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 31) 1/9)))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 5) 1/3))) (pow.f64 (pow.f64 x 5) 1/3)))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 23) 1/9))) (+.f64 (.f64 40/81 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 13) 1/3))) (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 31) 1/9))))) (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 23) 1/9))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 5) 1/3))) (pow.f64 (pow.f64 x 5) 1/3))))
x
x
x
x
(-.f64 x (pow.f64 x 2))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 22) 1/9))) x)) (pow.f64 x 2))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 34) 1/9))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 22) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 26) 1/9))) x)))) (+.f64 (.f64 2/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 10) 1/3))) (+.f64 (pow.f64 x 2) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 34) 1/9))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 22) 1/9))) (+.f64 (.f64 40/81 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 14) 1/3))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 22) 1/9))) (+.f64 (.f64 5/81 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 10) 1/3))) x))))))) (+.f64 (.f64 4/27 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 38) 1/9))) (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 2/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 10) 1/3))) (+.f64 (.f64 2/27 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 34) 1/9))) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
(-.f64 x (pow.f64 x 2))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 22) 1/9))) x)) (pow.f64 x 2))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 34) 1/9))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 22) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 26) 1/9))) x)))) (+.f64 (.f64 2/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 10) 1/3))) (+.f64 (pow.f64 x 2) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 34) 1/9))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 22) 1/9))) (+.f64 (.f64 40/81 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 14) 1/3))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 22) 1/9))) (+.f64 (.f64 5/81 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 10) 1/3))) x))))))) (+.f64 (.f64 4/27 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 38) 1/9))) (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 2/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 10) 1/3))) (+.f64 (.f64 2/27 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 34) 1/9))) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))

Outputs
(pow.f64 x 1/3)
(cbrt.f64 x)
(-.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 7) 1/9))))
(+.f64 (cbrt.f64 x) (.f64 -1/3 (.f64 (/.f64 1 y) (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)))))
(+.f64 (cbrt.f64 x) (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) y) -1/3))
(+.f64 (cbrt.f64 x) (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (/.f64 -1/3 y)))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 7) 1/9))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 11) 1/9)))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18))) (.f64 1/9 (.f64 (/.f64 1 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) y) (.f64 (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (/.f64 1/9 (.f64 y y)))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) y) (.f64 1/9 (.f64 (/.f64 (pow.f64 (pow.f64 x 11) 1/18) (.f64 y y)) (pow.f64 (pow.f64 x 11) 1/18)))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 7) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 11) 1/9))) (.f64 5/81 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 5) 1/3))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18))) (fma.f64 1/9 (.f64 (/.f64 1 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18))) (.f64 5/81 (*.f64 (/.f64 1 (pow.f64 y 3)) (cbrt.f64 (pow.f64 x 5)))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) y) (fma.f64 (/.f64 1/9 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (.f64 (cbrt.f64 (pow.f64 x 5)) (/.f64 5/81 (pow.f64 y 3))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) y) (fma.f64 1/9 (.f64 (/.f64 (pow.f64 (pow.f64 x 11) 1/18) (.f64 y y)) (pow.f64 (pow.f64 x 11) 1/18)) (.f64 5/81 (/.f64 (cbrt.f64 (pow.f64 x 5)) (pow.f64 y 3))))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(-.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 7) 1/9))))
(+.f64 (cbrt.f64 x) (.f64 -1/3 (.f64 (/.f64 1 y) (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)))))
(+.f64 (cbrt.f64 x) (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) y) -1/3))
(+.f64 (cbrt.f64 x) (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (/.f64 -1/3 y)))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 7) 1/9))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 11) 1/9)))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18))) (.f64 1/9 (.f64 (/.f64 1 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) y) (.f64 (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (/.f64 1/9 (.f64 y y)))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) y) (.f64 1/9 (.f64 (/.f64 (pow.f64 (pow.f64 x 11) 1/18) (.f64 y y)) (pow.f64 (pow.f64 x 11) 1/18)))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 7) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 11) 1/9))) (.f64 5/81 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 5) 1/3))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18))) (fma.f64 1/9 (.f64 (/.f64 1 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18))) (.f64 5/81 (*.f64 (/.f64 1 (pow.f64 y 3)) (cbrt.f64 (pow.f64 x 5)))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) y) (fma.f64 (/.f64 1/9 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (.f64 (cbrt.f64 (pow.f64 x 5)) (/.f64 5/81 (pow.f64 y 3))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) y) (fma.f64 1/9 (.f64 (/.f64 (pow.f64 (pow.f64 x 11) 1/18) (.f64 y y)) (pow.f64 (pow.f64 x 11) 1/18)) (.f64 5/81 (/.f64 (cbrt.f64 (pow.f64 x 5)) (pow.f64 y 3))))))
(pow.f64 (pow.f64 x 2) 1/3)
(cbrt.f64 (*.f64 x x))
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 10) 1/9))))
(+.f64 (cbrt.f64 (.f64 x x)) (.f64 -2/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18)))))
(-.f64 (cbrt.f64 (.f64 x x)) (.f64 (*.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18)) (/.f64 2/3 y)))
(-.f64 (cbrt.f64 (.f64 x x)) (.f64 2/3 (*.f64 (/.f64 (pow.f64 (pow.f64 x 10) 1/18) y) (pow.f64 (pow.f64 x 10) 1/18))))
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 10) 1/9))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 14) 1/9)))))
(-.f64 (cbrt.f64 (.f64 x x)) (fma.f64 2/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18))) (.f64 1/9 (.f64 (/.f64 1 (.f64 y y)) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18))))))
(-.f64 (cbrt.f64 (.f64 x x)) (fma.f64 1/9 (/.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (.f64 y y)) (.f64 (*.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18)) (/.f64 2/3 y))))
(+.f64 (cbrt.f64 (.f64 x x)) (fma.f64 (.f64 (/.f64 (pow.f64 (pow.f64 x 10) 1/18) y) (pow.f64 (pow.f64 x 10) 1/18)) -2/3 (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (/.f64 -1/9 (*.f64 y y)))))
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 10) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 14) 1/9))) (*.f64 4/81 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(-.f64 (cbrt.f64 (.f64 x x)) (fma.f64 2/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18))) (fma.f64 1/9 (.f64 (/.f64 1 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18))) (.f64 4/81 (/.f64 (.f64 x x) (pow.f64 y 3))))))
(-.f64 (cbrt.f64 (.f64 x x)) (fma.f64 2/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18)) y) (fma.f64 (/.f64 1/9 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 4/81 (/.f64 x (/.f64 (pow.f64 y 3) x))))))
(-.f64 (cbrt.f64 (.f64 x x)) (fma.f64 2/3 (.f64 (/.f64 (pow.f64 (pow.f64 x 10) 1/18) y) (pow.f64 (pow.f64 x 10) 1/18)) (fma.f64 1/9 (.f64 (/.f64 (pow.f64 (pow.f64 x 14) 1/18) (.f64 y y)) (pow.f64 (pow.f64 x 14) 1/18)) (/.f64 (.f64 (.f64 x x) 4/81) (pow.f64 y 3)))))
(pow.f64 (pow.f64 x 2) 1/3)
(cbrt.f64 (*.f64 x x))
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 10) 1/9))))
(+.f64 (cbrt.f64 (.f64 x x)) (.f64 -2/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18)))))
(-.f64 (cbrt.f64 (.f64 x x)) (.f64 (*.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18)) (/.f64 2/3 y)))
(-.f64 (cbrt.f64 (.f64 x x)) (.f64 2/3 (*.f64 (/.f64 (pow.f64 (pow.f64 x 10) 1/18) y) (pow.f64 (pow.f64 x 10) 1/18))))
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 10) 1/9))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 14) 1/9)))))
(-.f64 (cbrt.f64 (.f64 x x)) (fma.f64 2/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18))) (.f64 1/9 (.f64 (/.f64 1 (.f64 y y)) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18))))))
(-.f64 (cbrt.f64 (.f64 x x)) (fma.f64 1/9 (/.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (.f64 y y)) (.f64 (*.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18)) (/.f64 2/3 y))))
(+.f64 (cbrt.f64 (.f64 x x)) (fma.f64 (.f64 (/.f64 (pow.f64 (pow.f64 x 10) 1/18) y) (pow.f64 (pow.f64 x 10) 1/18)) -2/3 (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (/.f64 -1/9 (*.f64 y y)))))
(-.f64 (pow.f64 (pow.f64 x 2) 1/3) (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 10) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 14) 1/9))) (*.f64 4/81 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(-.f64 (cbrt.f64 (.f64 x x)) (fma.f64 2/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18))) (fma.f64 1/9 (.f64 (/.f64 1 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18))) (.f64 4/81 (/.f64 (.f64 x x) (pow.f64 y 3))))))
(-.f64 (cbrt.f64 (.f64 x x)) (fma.f64 2/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18)) y) (fma.f64 (/.f64 1/9 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 4/81 (/.f64 x (/.f64 (pow.f64 y 3) x))))))
(-.f64 (cbrt.f64 (.f64 x x)) (fma.f64 2/3 (.f64 (/.f64 (pow.f64 (pow.f64 x 10) 1/18) y) (pow.f64 (pow.f64 x 10) 1/18)) (fma.f64 1/9 (.f64 (/.f64 (pow.f64 (pow.f64 x 14) 1/18) (.f64 y y)) (pow.f64 (pow.f64 x 14) 1/18)) (/.f64 (.f64 (.f64 x x) 4/81) (pow.f64 y 3)))))
(*.f64 -1 (pow.f64 (pow.f64 x 5) 1/3))
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x
x
x
x
(-.f64 x (pow.f64 x 2))
(-.f64 x (*.f64 x x))
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(-.f64 x (*.f64 x x))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 22) 1/9))) x)) (pow.f64 x 2))
(-.f64 (fma.f64 2/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 26) 1/18) (pow.f64 (pow.f64 x 26) 1/18))) (fma.f64 1/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 22) 1/18) (pow.f64 (pow.f64 x 22) 1/18))) x)) (*.f64 x x))
(-.f64 (fma.f64 2/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 26) 1/18) (pow.f64 (pow.f64 x 26) 1/18)) y) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 22) 1/18) (pow.f64 (pow.f64 x 22) 1/18)) y) x)) (*.f64 x x))
(-.f64 (fma.f64 2/3 (.f64 (/.f64 (pow.f64 (pow.f64 x 26) 1/18) y) (pow.f64 (pow.f64 x 26) 1/18)) (fma.f64 1/3 (/.f64 (pow.f64 (pow.f64 x 22) 1/18) (/.f64 y (pow.f64 (pow.f64 x 22) 1/18))) x)) (.f64 x x))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 34) 1/9))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 22) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 26) 1/9))) x)))) (+.f64 (.f64 2/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 10) 1/3))) (+.f64 (pow.f64 x 2) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (fma.f64 2/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 26) 1/18) (pow.f64 (pow.f64 x 26) 1/18))) (fma.f64 4/9 (.f64 (/.f64 1 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 34) 1/18) (pow.f64 (pow.f64 x 34) 1/18))) (fma.f64 1/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 22) 1/18) (pow.f64 (pow.f64 x 22) 1/18))) (fma.f64 1/9 (.f64 (/.f64 1 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 26) 1/18) (pow.f64 (pow.f64 x 26) 1/18))) x)))) (fma.f64 2/9 (.f64 (/.f64 1 (.f64 y y)) (cbrt.f64 (pow.f64 x 10))) (+.f64 (.f64 x x) (/.f64 (.f64 1/3 (.f64 x x)) (.f64 y y)))))
(fma.f64 2/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 26) 1/18) (pow.f64 (pow.f64 x 26) 1/18)) y) (-.f64 (fma.f64 4/9 (/.f64 (.f64 (pow.f64 (pow.f64 x 34) 1/18) (pow.f64 (pow.f64 x 34) 1/18)) (.f64 y y)) (fma.f64 (/.f64 1/3 y) (.f64 (pow.f64 (pow.f64 x 22) 1/18) (pow.f64 (pow.f64 x 22) 1/18)) (fma.f64 1/9 (/.f64 (.f64 (pow.f64 (pow.f64 x 26) 1/18) (pow.f64 (pow.f64 x 26) 1/18)) (.f64 y y)) x))) (fma.f64 2/9 (/.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 y y)) (fma.f64 1/3 (.f64 (/.f64 x y) (/.f64 x y)) (*.f64 x x)))))
(fma.f64 2/3 (.f64 (/.f64 (pow.f64 (pow.f64 x 26) 1/18) y) (pow.f64 (pow.f64 x 26) 1/18)) (-.f64 (fma.f64 4/9 (/.f64 (.f64 (pow.f64 (pow.f64 x 34) 1/18) (pow.f64 (pow.f64 x 34) 1/18)) (.f64 y y)) (fma.f64 1/3 (/.f64 (pow.f64 (pow.f64 x 22) 1/18) (/.f64 y (pow.f64 (pow.f64 x 22) 1/18))) (fma.f64 1/9 (.f64 (/.f64 (pow.f64 (pow.f64 x 26) 1/18) y) (/.f64 (pow.f64 (pow.f64 x 26) 1/18) y)) x))) (fma.f64 2/9 (/.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 y y)) (fma.f64 x x (.f64 1/3 (*.f64 (/.f64 x y) (/.f64 x y)))))))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 34) 1/9))) (+.f64 (.f64 1/3 (.f64 (/.f64 1 y) (pow.f64 (pow.f64 x 22) 1/9))) (+.f64 (.f64 40/81 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 14) 1/3))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 22) 1/9))) (+.f64 (.f64 5/81 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 10) 1/3))) x))))))) (+.f64 (.f64 4/27 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 38) 1/9))) (+.f64 (.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 26) 1/9))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 2/9 (.f64 (/.f64 1 (pow.f64 y 2)) (pow.f64 (pow.f64 x 10) 1/3))) (+.f64 (.f64 2/27 (.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 (pow.f64 x 34) 1/9))) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
(-.f64 (fma.f64 2/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 26) 1/18) (pow.f64 (pow.f64 x 26) 1/18))) (fma.f64 4/9 (.f64 (/.f64 1 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 34) 1/18) (pow.f64 (pow.f64 x 34) 1/18))) (fma.f64 1/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (pow.f64 x 22) 1/18) (pow.f64 (pow.f64 x 22) 1/18))) (fma.f64 40/81 (.f64 (/.f64 1 (pow.f64 y 3)) (cbrt.f64 (pow.f64 x 14))) (fma.f64 1/9 (.f64 (/.f64 1 (.f64 y y)) (.f64 (pow.f64 (pow.f64 x 26) 1/18) (pow.f64 (pow.f64 x 26) 1/18))) (fma.f64 1/9 (.f64 (/.f64 1 (pow.f64 y 3)) (.f64 (pow.f64 (pow.f64 x 22) 1/18) (pow.f64 (pow.f64 x 22) 1/18))) (fma.f64 5/81 (.f64 (/.f64 1 (pow.f64 y 3)) (cbrt.f64 (pow.f64 x 10))) x))))))) (fma.f64 4/27 (.f64 (/.f64 1 (pow.f64 y 3)) (.f64 (pow.f64 (pow.f64 x 38) 1/18) (pow.f64 (pow.f64 x 38) 1/18))) (fma.f64 4/9 (.f64 (/.f64 1 (pow.f64 y 3)) (.f64 (pow.f64 (pow.f64 x 26) 1/18) (pow.f64 (pow.f64 x 26) 1/18))) (+.f64 (.f64 x x) (fma.f64 2/9 (.f64 (/.f64 1 (.f64 y y)) (cbrt.f64 (pow.f64 x 10))) (fma.f64 2/27 (.f64 (/.f64 1 (pow.f64 y 3)) (.f64 (pow.f64 (pow.f64 x 34) 1/18) (pow.f64 (pow.f64 x 34) 1/18))) (/.f64 (.f64 1/3 (.f64 x x)) (.f64 y y))))))))
(-.f64 (fma.f64 2/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 26) 1/18) (pow.f64 (pow.f64 x 26) 1/18)) y) (fma.f64 4/9 (/.f64 (.f64 (pow.f64 (pow.f64 x 34) 1/18) (pow.f64 (pow.f64 x 34) 1/18)) (.f64 y y)) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 (pow.f64 x 22) 1/18) (pow.f64 (pow.f64 x 22) 1/18)) y) (fma.f64 40/81 (/.f64 (cbrt.f64 (pow.f64 x 14)) (pow.f64 y 3)) (fma.f64 1/9 (/.f64 (.f64 (pow.f64 (pow.f64 x 26) 1/18) (pow.f64 (pow.f64 x 26) 1/18)) (.f64 y y)) (fma.f64 1/9 (/.f64 (.f64 (pow.f64 (pow.f64 x 22) 1/18) (pow.f64 (pow.f64 x 22) 1/18)) (pow.f64 y 3)) (fma.f64 5/81 (/.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 y 3)) x))))))) (fma.f64 4/27 (/.f64 (.f64 (pow.f64 (pow.f64 x 38) 1/18) (pow.f64 (pow.f64 x 38) 1/18)) (pow.f64 y 3)) (fma.f64 4/9 (/.f64 (.f64 (pow.f64 (pow.f64 x 26) 1/18) (pow.f64 (pow.f64 x 26) 1/18)) (pow.f64 y 3)) (fma.f64 x x (fma.f64 2/9 (/.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 y y)) (fma.f64 1/3 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (*.f64 (pow.f64 (pow.f64 x 34) 1/18) (pow.f64 (pow.f64 x 34) 1/18)) (/.f64 2/27 (pow.f64 y 3)))))))))
(-.f64 (fma.f64 2/3 (.f64 (/.f64 (pow.f64 (pow.f64 x 26) 1/18) y) (pow.f64 (pow.f64 x 26) 1/18)) (fma.f64 4/9 (/.f64 (.f64 (pow.f64 (pow.f64 x 34) 1/18) (pow.f64 (pow.f64 x 34) 1/18)) (.f64 y y)) (fma.f64 1/3 (/.f64 (pow.f64 (pow.f64 x 22) 1/18) (/.f64 y (pow.f64 (pow.f64 x 22) 1/18))) (fma.f64 40/81 (/.f64 (cbrt.f64 (pow.f64 x 14)) (pow.f64 y 3)) (fma.f64 1/9 (.f64 (/.f64 (pow.f64 (pow.f64 x 26) 1/18) y) (/.f64 (pow.f64 (pow.f64 x 26) 1/18) y)) (fma.f64 1/9 (.f64 (/.f64 (pow.f64 (pow.f64 x 22) 1/18) (pow.f64 y 3)) (pow.f64 (pow.f64 x 22) 1/18)) (fma.f64 5/81 (/.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 y 3)) x))))))) (fma.f64 4/27 (/.f64 (.f64 (pow.f64 (pow.f64 x 38) 1/18) (pow.f64 (pow.f64 x 38) 1/18)) (pow.f64 y 3)) (fma.f64 4/9 (/.f64 (.f64 (pow.f64 (pow.f64 x 26) 1/18) (pow.f64 (pow.f64 x 26) 1/18)) (pow.f64 y 3)) (fma.f64 x x (fma.f64 2/9 (/.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 y y)) (fma.f64 1/3 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 (*.f64 (pow.f64 (pow.f64 x 34) 1/18) (pow.f64 (pow.f64 x 34) 1/18)) 2/27) (pow.f64 y 3))))))))

prune116.0ms (4.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	149	7	156

Error

0.0b

Counts

156 → 7

Alt Table

Status	Error	Program
	36.6b	(*.f64 (/.f64 x (fma.f64 x y y)) x)
✓	26.5b	(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2)) (cbrt.f64 (-.f64 x (/.f64 x y))) x)
	38.0b	(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
✓	26.4b	(fma.f64 x (-.f64 1 (-.f64 x (/.f64 x y))) (fma.f64 (neg.f64 x) (-.f64 x (/.f64 x y)) (*.f64 x (-.f64 x (/.f64 x y)))))
	41.0b	(/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))
	29.3b	(-.f64 x (.f64 x (.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 x (/.f64 x y))))))
	43.6b	(/.f64 (/.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)))) (+.f64 x 1))

Compiler

Compiled 4298 to 1922 computations (55.3% saved)

regimes513.0ms (17.9%)

Accuracy

Total 0.1b remaining (85.1%)

Threshold costs 0.1b (85.1%)

Counts

124 → 3

Compiler

Compiled 1794 to 548 computations (69.5% saved)

bsearch32.0ms (1.1%)

Algorithm

2×	binary-search

Calls

2 calls:

18.0ms	x
13.0ms	x

Steps

Iters	Point		Range
6.5e+14	∈ [	6030086855985.442	,	2.2484793259090405e+27	]
-1e+31	∈ [	-7.456695048471622e+37	,	-8.676100013301349e+30	]

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	52
1	26	52
2	32	52
3	34	52
4	35	52

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x -9999999999999999635896294965248) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) (if (<=.f64 x 650000000000000) (/.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 1) (+.f64 x 1)) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))

Outputs

(if (<=.f64 x -9999999999999999635896294965248) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) (if (<=.f64 x 650000000000000) (/.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 1) (+.f64 x 1)) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))

(if (<=.f64 x -9999999999999999635896294965248) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) (if (<=.f64 x 650000000000000) (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))))

(if (<=.f64 x -9999999999999999635896294965248) (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 -1 y)) (if (<=.f64 x 650000000000000) (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 -1 y))))

end104.0ms (3.6%)

Stop Event

1×

fuel

Compiler

Compiled 218 to 117 computations (46.3% saved)

Details

analyze201.0ms (7%)

sample812.0ms (28.3%)

preprocess52.0ms (1.8%)

simplify38.0ms (1.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series9.0ms (0.3%)

rewrite46.0ms (1.6%)

simplify29.0ms (1%)

prune59.0ms (2%)

localize5.0ms (0.2%)

series8.0ms (0.3%)

rewrite73.0ms (2.5%)

simplify48.0ms (1.7%)

prune194.0ms (6.8%)

localize11.0ms (0.4%)

series10.0ms (0.3%)

rewrite52.0ms (1.8%)

simplify31.0ms (1.1%)

prune273.0ms (9.5%)

localize9.0ms (0.3%)

series25.0ms (0.9%)

rewrite57.0ms (2%)

simplify49.0ms (1.7%)

prune116.0ms (4.1%)

regimes513.0ms (17.9%)

bsearch32.0ms (1.1%)

simplify3.0ms (0.1%)

end104.0ms (3.6%)

Profiling