Details

analyze99.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	74.9%	0.1%	0%	25%	0%	4
0%	0%	74.9%	0.1%	0%	25%	0%	5
30%	18.7%	43.7%	0.1%	0%	37.5%	0%	6
45%	28.1%	34.3%	0.1%	0%	37.5%	0%	7
58.3%	32.8%	23.4%	0.1%	0%	43.7%	0%	8
67.1%	36.7%	18%	0.1%	1.6%	43.7%	0%	9
76.5%	39.4%	12.1%	0.1%	1.6%	46.8%	0%	10
81.9%	41.6%	9.2%	0.1%	2.3%	46.8%	0%	11
87.5%	43%	6.1%	0.1%	2.3%	48.4%	0%	12

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.6s (15.4%)

Results

1.5s	8256×	body	256	valid
78.0ms	257×	body	256	invalid
20.0ms	144×	body	256	infinite

Bogosity

preprocess68.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

880×	`fma-neg_binary64`
613×	`times-frac_binary64`
420×	`associate-/l*_binary64`
408×	`fma-def_binary64`
394×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	46	36
2	126	36
3	369	32
4	777	32
5	1139	32
6	2287	32
7	4656	32
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(.f64 (.f64 3 (sqrt.f64 y)) (-.f64 (+.f64 x (/.f64 1 (*.f64 y 9))) 1))

Outputs
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) -1)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 3 y -3) (/.f64 1/3 x)))
(.f64 (.f64 3 (sqrt.f64 y)) (-.f64 (+.f64 x (/.f64 1 (*.f64 y 9))) 1))
(.f64 (.f64 3 (sqrt.f64 y)) (+.f64 (+.f64 x (/.f64 1 (*.f64 y 9))) -1))
(.f64 (.f64 3 (sqrt.f64 y)) (+.f64 (/.f64 1/9 y) (-.f64 x 1)))
(.f64 3 (.f64 (sqrt.f64 y) (+.f64 (/.f64 1/9 y) (+.f64 x -1))))
(*.f64 (sqrt.f64 y) (fma.f64 3 x (+.f64 -3 (/.f64 1/3 y))))
(*.f64 (sqrt.f64 y) (+.f64 (fma.f64 3 x -3) (/.f64 1/3 y)))

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify246.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1205×	`fma-neg_binary64`
892×	`fma-def_binary64`
328×	`associate-/l*_binary64`
320×	`cancel-sign-sub-inv_binary64`
290×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	28	18
2	69	18
3	192	16
4	399	16
5	585	16
6	1178	16
7	2560	16
8	4317	16
9	4998	16
10	5557	16
11	6074	16
12	6102	16
13	6102	16
14	7052	16
15	7137	16
16	7137	16
17	7137	16
18	7137	16

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))

Outputs
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 y (-.f64 (/.f64 1 (*.f64 x 9)) 1)))
(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 3 y -3) (/.f64 1/3 x)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))

eval1.0ms (0%)

Compiler: Compiled 27 to 20 computations (25.9% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
▶	0.4b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))

Compiler

Compiled 29 to 23 computations (20.7% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x)))
✓	0.1b	(fma.f64 y -3 (/.f64 -1/3 x))
✓	0.3b	(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
✓	0.4b	(/.f64 -1/3 x)

Compiler

Compiled 36 to 24 computations (33.3% saved)

series14.0ms (0.1%)

Counts

4 → 60

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
1.0ms	y	@	0	(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
1.0ms	x	@	0	(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
1.0ms	x	@	inf	(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
1.0ms	y	@	-inf	(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))

rewrite107.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`log-prod_binary64`
363×	`prod-exp_binary64`
363×	`exp-prod_binary64`
286×	`pow-prod-down_binary64`
277×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	220	39
2	2730	39

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

Inputs
(/.f64 -1/3 x)
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -1/3 x)) (pow.f64 (cbrt.f64 (/.f64 -1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 x)) 2) (cbrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -1/3 x)) (sqrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/9 (pow.f64 x -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 x -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/3 x))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/3 x)))) (sqrt.f64 (log.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/9 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 -1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 -1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 -1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (/.f64 -1/3 x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -3 (sqrt.f64 x)) (.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 x) -3) (.f64 (sqrt.f64 x) (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 -27 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3)) (sqrt.f64 x)) (fma.f64 (fma.f64 -3 y (/.f64 -1/3 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (sqrt.f64 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 x) (-.f64 -27 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3))) (fma.f64 (fma.f64 -3 y (/.f64 -1/3 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 x) (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 2)) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) (.f64 (log.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1) (.f64 (log.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) (.f64 (log.f64 (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1) (.f64 (log.f64 (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) -3 (.f64 (sqrt.f64 x) (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (sqrt.f64 x) (.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (sqrt.f64 x)))))))
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -27 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3)) (fma.f64 (fma.f64 -3 y (/.f64 -1/3 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -27 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3))) (neg.f64 (fma.f64 (fma.f64 -3 y (/.f64 -1/3 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))) (neg.f64 (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (pow.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 3)) (+.f64 9 (-.f64 (pow.f64 (neg.f64 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cbrt.f64 (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (neg.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (neg.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 2) (cbrt.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) (sqrt.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 -3 y (/.f64 -1/3 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))) (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) -3)))))

simplify146.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

809×	`fma-neg_binary64`
534×	`fma-def_binary64`
348×	`cancel-sign-sub-inv_binary64`
142×	`distribute-rgt-in_binary64`
107×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	678
1	77	607
2	160	569
3	369	569
4	942	569
5	2035	569
6	2980	569
7	3356	569
8	3997	569
9	4005	569
10	4005	569

Stop Event

1×

saturated

Counts

225 → 187

Calls

Call 1

Inputs
(.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(/.f64 -1/3 x)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(/.f64 -1/3 x)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(*.f64 3 y)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(*.f64 3 y)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(/.f64 1/3 x)
(+.f64 (.f64 -1 (+.f64 3 (.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 -1 (+.f64 3 (.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 -1 (+.f64 3 (.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(.f64 -1 (+.f64 3 (.f64 -3 y)))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(.f64 -1 (+.f64 3 (.f64 -3 y)))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))

Outputs
(.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x)))
(*.f64 (+.f64 3 (/.f64 -1/3 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(/.f64 -1/3 x)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(/.f64 -1/3 x)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(*.f64 3 y)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(*.f64 3 y)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(/.f64 1/3 x)
(+.f64 (.f64 -1 (+.f64 3 (.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 -1 (+.f64 3 (.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 -1 (+.f64 3 (.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(.f64 -1 (+.f64 3 (.f64 -3 y)))
(neg.f64 (+.f64 3 (*.f64 y -3)))
(fma.f64 3 y -3)
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(.f64 -1 (+.f64 3 (.f64 -3 y)))
(neg.f64 (+.f64 3 (*.f64 y -3)))
(fma.f64 3 y -3)
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 y (/.f64 1 (*.f64 x 9)))
✓	0.2b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
✓	0.3b	(*.f64 3 (sqrt.f64 x))
✓	0.7b	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 51 to 36 computations (29.4% saved)

series13.0ms (0.1%)

Counts

4 → 48

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 3 (sqrt.f64 x))
2.0ms	x	@	0	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.0ms	x	@	-inf	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.0ms	y	@	0	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.0ms	x	@	inf	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))

rewrite148.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`prod-diff_binary64`
614×	`log-prod_binary64`
360×	`fma-def_binary64`
226×	`log1p-udef_binary64`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	283	35
2	3745	35

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x 9))
(*.f64 3 (sqrt.f64 x))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(+.f64 y (/.f64 1 (*.f64 x 9)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x))) (cbrt.f64 (exp.f64 (/.f64 1/9 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1/9 x)) (sqrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 (.f64 x x) 81))) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 9) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (.f64 x -9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x 9) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x 9) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (exp.f64 (sqrt.f64 x)) (exp.f64 (sqrt.f64 x)))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 3 (sqrt.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 3 (sqrt.f64 x))) (.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (/.f64 1/9 x) y) (.f64 3 (sqrt.f64 x))) (.f64 -1 (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3 (sqrt.f64 x)) y) (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) y)) (.f64 (.f64 3 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 3) -1) (.f64 3 (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2) (+.f64 (/.f64 1/9 x) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2) -1) (.f64 3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 3) -1)) (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2) (+.f64 (/.f64 1/9 x) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2) -1)) (+.f64 (/.f64 1/9 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x 9) (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 3 (sqrt.f64 x)) 3) (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (pow.f64 (.f64 3 (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 x)) y (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) y) (.f64 (.f64 3 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 3 (sqrt.f64 x)) (.f64 (+.f64 (/.f64 1/9 x) -1) (.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/9 x) y) (.f64 3 (sqrt.f64 x)) (.f64 -1 (.f64 3 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 y y) (-.f64 y (/.f64 1/9 x))) (/.f64 (pow.f64 (.f64 x 9) -2) (-.f64 y (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 1/9 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/9 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) y)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2)) (cbrt.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2)) (.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) y)) (sqrt.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) y)) (.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 x 9) -3)) (/.f64 1 (fma.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/9 x) y) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 y y) (pow.f64 (.f64 x 9) -2)) (/.f64 1 (-.f64 y (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/9 x) y) (.f64 y y)) (+.f64 (pow.f64 y 3) (pow.f64 (.f64 x 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (/.f64 1/9 x)) (-.f64 (.f64 y y) (pow.f64 (.f64 x 9) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 x 9) -3)) (fma.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/9 x) y) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 x 9) -3)) (+.f64 (pow.f64 (.f64 x 9) -2) (-.f64 (.f64 y y) (.f64 (/.f64 1/9 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 x 9) -2)) (-.f64 y (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 x 9) -3))) (neg.f64 (fma.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/9 x) y) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 x 9) -2))) (neg.f64 (-.f64 y (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x 9) -2) (.f64 y y)) (-.f64 (/.f64 1/9 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 x 9) -3)) 1) (fma.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/9 x) y) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 x 9) -2)) 1) (-.f64 y (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1/9 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/9 x) y) (.f64 y y)) (+.f64 (pow.f64 y 3) (pow.f64 (.f64 x 9) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y (/.f64 1/9 x)) (-.f64 (.f64 y y) (pow.f64 (.f64 x 9) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/9 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (/.f64 1/9 x)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 y) (+.f64 1 (expm1.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 y)) (+.f64 1 (expm1.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (/.f64 1/9 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/9 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1/9 x) (+.f64 y 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/9 x) 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (cbrt.f64 (.f64 y y)) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/9 x)) (sqrt.f64 (/.f64 1/9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (.f64 x -9)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1/9 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1))) (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1)))) (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1))) (sqrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/9 (/.f64 1 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (.f64 (.f64 x x) 81))) (cbrt.f64 (/.f64 1/9 x)) y)))))

simplify240.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1400×	`fma-neg_binary64`
911×	`fma-def_binary64`
256×	`distribute-rgt-neg-in_binary64`
206×	`distribute-rgt-in_binary64`
183×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	426
1	38	381
2	84	360
3	195	360
4	406	360
5	811	360
6	1177	360
7	1916	360
8	3391	360
9	4482	360
10	4918	360
11	5480	360
12	5481	360
13	5481	360
14	6291	360
15	6291	360
16	6291	360
17	6291	360

Stop Event

1×

saturated

Counts

183 → 145

Calls

Call 1

Inputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))

Outputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 3 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) 3))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(.f64 y (.f64 3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(.f64 y (.f64 3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))

eval277.0ms (2.7%)

Compiler: Compiled 5717 to 4097 computations (28.3% saved)

prune77.0ms (0.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	311	21	332
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	313	21	334

Error

0.0b

Counts

334 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 (sqrt.f64 x) -3 (*.f64 (sqrt.f64 x) (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))
	39.5b	(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
	0.7b	(.f64 (pow.f64 (sqrt.f64 (.f64 3 (sqrt.f64 x))) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	24.1b	(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
	24.1b	(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
	52.6b	(sqrt.f64 (.f64 (.f64 x 9) (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2)))
	0.5b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
▶	24.1b	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
	28.7b	(pow.f64 (sqrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 2)
	28.6b	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2)
▶	0.4b	(.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (.f64 x -3) -1))))
	28.1b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (pow.f64 (.f64 x 9) -2) (.f64 y y)) (-.f64 (/.f64 1/9 x) y)) 1))
	39.3b	(.f64 y (.f64 3 (sqrt.f64 x)))
	39.3b	(.f64 (sqrt.f64 x) (.f64 3 y))
	34.8b	(cbrt.f64 (pow.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 3))
▶	0.8b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	24.9b	(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
▶	1.2b	(pow.f64 (cbrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
	1.1b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) y)) 3) 1))
▶	39.3b	(.f64 3 (.f64 (sqrt.f64 x) y))
	0.4b	(.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (.f64 -3 y))))

Compiler

Compiled 592 to 472 computations (20.3% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -3 (fma.f64 y -3 (pow.f64 (*.f64 x -3) -1)))
✓	0.1b	(fma.f64 y -3 (pow.f64 (*.f64 x -3) -1))
✓	0.3b	(pow.f64 (*.f64 x -3) -1)
✓	0.3b	(.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (.f64 x -3) -1))))

Compiler

Compiled 47 to 34 computations (27.7% saved)

series10.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (.f64 x -3) -1))))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (.f64 x -3) -1))))
1.0ms	y	@	0	(.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (.f64 x -3) -1))))
1.0ms	x	@	-inf	(pow.f64 (*.f64 x -3) -1)
1.0ms	x	@	0	(pow.f64 (*.f64 x -3) -1)

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`log-prod_binary64`
404×	`exp-prod_binary64`
320×	`pow-prod-down_binary64`
298×	`pow2_binary64`
206×	`pow-to-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	238	39
2	2901	39

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

Inputs
(.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (.f64 x -3) -1))))
(pow.f64 (*.f64 x -3) -1)
(fma.f64 y -3 (pow.f64 (*.f64 x -3) -1))
(-.f64 -3 (fma.f64 y -3 (pow.f64 (*.f64 x -3) -1)))

Outputs
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(fma.f64 -3 y (/.f64 -1/3 x))) 2) (.f64 -3 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (pow.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 2)) (-.f64 -3 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 -3 y (/.f64 -1/3 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 9) (-.f64 -27 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2)) (cbrt.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) (sqrt.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 -3 y (/.f64 -1/3 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (neg.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (neg.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 2) (cbrt.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) (sqrt.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))) (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) -3)))))

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-neg_binary64`
536×	`fma-def_binary64`
350×	`cancel-sign-sub-inv_binary64`
142×	`distribute-rgt-in_binary64`
107×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	722
1	85	655
2	169	617
3	378	617
4	950	617
5	2054	617
6	3005	617
7	3382	617
8	4023	617
9	4031	617
10	4031	617

Stop Event

1×

saturated

Counts

226 → 176

Calls

Call 1

Inputs
(.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(/.f64 -1/3 x)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(*.f64 3 y)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(*.f64 3 y)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(/.f64 1/3 x)
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 (*.f64 -3 y) 3)))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 (*.f64 -3 y) 3)))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 (*.f64 -3 y) 3)))
(.f64 -1 (+.f64 3 (.f64 -3 y)))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(.f64 -1 (+.f64 (.f64 -3 y) 3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 (*.f64 -3 y) 3)))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 (*.f64 -3 y) 3)))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 (*.f64 -3 y) 3)))

Outputs
(.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x)))
(*.f64 (+.f64 3 (/.f64 -1/3 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(/.f64 -1/3 x)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(*.f64 3 y)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(*.f64 3 y)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(/.f64 1/3 x)
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 (*.f64 -3 y) 3)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 (*.f64 -3 y) 3)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 (*.f64 -3 y) 3)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(.f64 -1 (+.f64 3 (.f64 -3 y)))
(neg.f64 (fma.f64 -3 y 3))
(fma.f64 3 y -3)
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(.f64 -1 (+.f64 (.f64 -3 y) 3))
(neg.f64 (fma.f64 -3 y 3))
(fma.f64 3 y -3)
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 (*.f64 -3 y) 3)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 (*.f64 -3 y) 3)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 (*.f64 -3 y) 3)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3 (.f64 (sqrt.f64 x) y))
✓	0.3b	(*.f64 (sqrt.f64 x) y)

Compiler

Compiled 17 to 7 computations (58.8% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(.f64 3 (.f64 (sqrt.f64 x) y))
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) y)
1.0ms	x	@	0	(*.f64 (sqrt.f64 x) y)
1.0ms	x	@	-inf	(.f64 3 (.f64 (sqrt.f64 x) y))
1.0ms	x	@	0	(.f64 3 (.f64 (sqrt.f64 x) y))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
580×	`add-log-exp_binary64`
580×	`log1p-expm1-u_binary64`
580×	`expm1-log1p-u_binary64`
567×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	141	15
2	1610	15

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) y)
(.f64 3 (.f64 (sqrt.f64 x) y))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 x) (*.f64 y 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3))))))))

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	180
1	11	180
2	18	180
3	20	180

Stop Event

1×

saturated

Counts

46 → 25

Calls

Call 1

Inputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))

Outputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (sqrt.f64 x)) 3)
(.f64 y (.f64 (sqrt.f64 x) 3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (sqrt.f64 x)) 3)
(.f64 y (.f64 (sqrt.f64 x) 3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (sqrt.f64 x)) 3)
(.f64 y (.f64 (sqrt.f64 x) 3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (sqrt.f64 x)) 3)
(.f64 y (.f64 (sqrt.f64 x) 3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (sqrt.f64 x)) 3)
(.f64 y (.f64 (sqrt.f64 x) 3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (sqrt.f64 x)) 3)
(.f64 y (.f64 (sqrt.f64 x) 3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (sqrt.f64 x)) 3)
(.f64 y (.f64 (sqrt.f64 x) 3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (sqrt.f64 x)) 3)
(.f64 y (.f64 (sqrt.f64 x) 3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (sqrt.f64 x)) 3)
(.f64 y (.f64 (sqrt.f64 x) 3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (sqrt.f64 x)) 3)
(.f64 y (.f64 (sqrt.f64 x) 3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (sqrt.f64 x)) 3)
(.f64 y (.f64 (sqrt.f64 x) 3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (sqrt.f64 x)) 3)
(.f64 y (.f64 (sqrt.f64 x) 3))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -3 (/.f64 -1/3 x))
✓	0.3b	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
	0.4b	(/.f64 -1/3 x)

Compiler

Compiled 23 to 16 computations (30.4% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
1.0ms	x	@	0	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
1.0ms	x	@	inf	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
0.0ms	x	@	0	(-.f64 -3 (/.f64 -1/3 x))
0.0ms	x	@	inf	(-.f64 -3 (/.f64 -1/3 x))

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`pow1_binary64`
839×	`add-log-exp_binary64`
839×	`log1p-expm1-u_binary64`
839×	`expm1-log1p-u_binary64`
824×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	180	19
2	2267	19

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(-.f64 -3 (/.f64 -1/3 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (sqrt.f64 x)) (*.f64 (/.f64 1/3 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) -3) (*.f64 (sqrt.f64 x) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -27 (/.f64 -1/27 (pow.f64 x 3))) (sqrt.f64 x)) (+.f64 (+.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1/9 (*.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 -27 (/.f64 -1/27 (pow.f64 x 3)))) (+.f64 (+.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 9 (/.f64 1/9 (*.f64 x x)))) (+.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (+.f64 -3 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 (/.f64 1/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -3 (/.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -3 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -3 (/.f64 1/3 x))) (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 1/3 x))) 2) (cbrt.f64 (+.f64 -3 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -3 (/.f64 1/3 x))) (sqrt.f64 (+.f64 -3 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -27 (/.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (+.f64 (+.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 (+.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 x)) (-.f64 -27 (/.f64 -1/27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -3 (/.f64 -1/3 x)) (-.f64 9 (/.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -27 (/.f64 -1/27 (pow.f64 x 3))) (+.f64 (+.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (/.f64 1/9 (*.f64 x x))) (+.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -27 (/.f64 -1/27 (pow.f64 x 3)))) (neg.f64 (+.f64 (+.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 9 (/.f64 1/9 (*.f64 x x)))) (neg.f64 (+.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (pow.f64 (/.f64 1/3 x) 3)) (+.f64 9 (-.f64 (*.f64 (/.f64 1/3 x) (/.f64 1/3 x)) (*.f64 -3 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 (/.f64 1/3 x) (/.f64 1/3 x))) (-.f64 -3 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -3 (/.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -3 (/.f64 1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -3 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -3 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -3 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -3 (/.f64 1/3 x))))))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-neg_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-*r/_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	17	69
2	20	69

Stop Event

1×

saturated

Counts

59 → 50

Calls

Call 1

Inputs
(/.f64 1/3 x)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)

Outputs
(/.f64 1/3 x)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 y (/.f64 1 (*.f64 x 9)))
✓	0.2b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
✓	0.6b	(sqrt.f64 (*.f64 x 9))
	0.7b	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 48 to 36 computations (25% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 x 9))
0.0ms	x	@	0	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
0.0ms	x	@	0	(sqrt.f64 (*.f64 x 9))
0.0ms	x	@	inf	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`prod-diff_binary64`
542×	`log-prod_binary64`
350×	`fma-def_binary64`
295×	`pow2_binary64`
218×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	244	24
2	3297	24

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 x 9))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) 3)) (cbrt.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 9)) (cbrt.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) 1/4) (pow.f64 (*.f64 x 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) 3)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (sqrt.f64 x) 3)) (*.f64 (+.f64 (/.f64 1/9 x) -1) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y (/.f64 1/9 x)) (*.f64 (sqrt.f64 x) 3)) (*.f64 -1 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) y) (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (/.f64 1/9 x))) (*.f64 (*.f64 (sqrt.f64 x) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 3) -1) (*.f64 (sqrt.f64 x) 3)) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) (+.f64 (/.f64 1/9 x) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) -1) (*.f64 (sqrt.f64 x) 3)) (+.f64 (/.f64 1/9 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 3) -1)) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) (+.f64 (/.f64 1/9 x) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) -1)) (+.f64 (/.f64 1/9 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) 3/2) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3) (pow.f64 (*.f64 x 9) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9) 3/2) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3) (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) 3) y (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (/.f64 1/9 x)) (*.f64 (*.f64 (sqrt.f64 x) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 (sqrt.f64 x) 3) (*.f64 (+.f64 (/.f64 1/9 x) -1) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (/.f64 1/9 x)) (*.f64 (sqrt.f64 x) 3) (*.f64 -1 (*.f64 (sqrt.f64 x) 3)))))))

simplify213.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1400×	`fma-neg_binary64`
907×	`fma-def_binary64`
256×	`distribute-rgt-neg-in_binary64`
207×	`distribute-rgt-in_binary64`
183×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	240
1	36	195
2	80	174
3	195	174
4	410	174
5	817	174
6	1183	174
7	1923	174
8	3403	174
9	4485	174
10	4924	174
11	5483	174
12	5484	174
13	5484	174
14	6294	174
15	6294	174
16	6294	174
17	6294	174

Stop Event

1×

saturated

Counts

74 → 68

Calls

Call 1

Inputs
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))

Outputs
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 3 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 3 (sqrt.f64 x))
✓	0.4b	(/.f64 1/9 x)
✓	0.5b	(cbrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)

Compiler

Compiled 66 to 45 computations (31.8% saved)

series39.0ms (0.4%)

Counts

3 → 24

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
7.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
6.0ms	y	@	0	(pow.f64 (cbrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
4.0ms	x	@	inf	(cbrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`log-prod_binary64`
437×	`fma-def_binary64`
365×	`pow2_binary64`
250×	`pow1/3_binary64`
250×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	320	42
2	4197	42

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
(cbrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(/.f64 1/9 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))) (*.f64 (sqrt.f64 x) (*.f64 3 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (*.f64 3 (+.f64 y -1))) (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 1/9 x) y) (*.f64 3 (sqrt.f64 x))) (*.f64 -1 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))) 1) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 3 (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) y)) (*.f64 (*.f64 3 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1))) (*.f64 3 (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1))) (*.f64 3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1))) (*.f64 3 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1))) (*.f64 3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 3 (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2) (*.f64 x 9))) (cbrt.f64 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1))) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 9)) (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2) (*.f64 x 9)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1))) (*.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1))) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))) (sqrt.f64 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 1/6) (*.f64 (pow.f64 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 1/6) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 2)) (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) (sqrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (cbrt.f64 (*.f64 x 9))) (cbrt.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (sqrt.f64 (*.f64 3 (sqrt.f64 x)))) (sqrt.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2) (*.f64 x 9))) 1) (cbrt.f64 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2) (*.f64 x 9))) (cbrt.f64 (*.f64 3 (sqrt.f64 x)))) (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2) (*.f64 x 9))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2) (*.f64 x 9))))) (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/729 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 9) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/729 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1))))))

simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Rules

773×	`distribute-rgt-in_binary64`
648×	`associate-r_binary64`
510×	`associate-l_binary64`
508×	`times-frac_binary64`
381×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	397	3928
1	1367	3521
2	5136	3204

Stop Event

1×	node limit

Counts

170 → 194

Calls

Call 1

Inputs
(.f64 3 (.f64 (pow.f64 1 1/6) (*.f64 (-.f64 y 1) (sqrt.f64 x))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 1 1/6) (.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 1 1/6) (.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (.f64 3 (.f64 (pow.f64 1 1/6) (*.f64 (-.f64 y 1) (sqrt.f64 x))))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 1 1/6) (.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (+.f64 (.f64 2/243 (.f64 (pow.f64 1 1/6) (.f64 (pow.f64 (/.f64 1 (-.f64 y 1)) 1/9) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (.f64 -1/243 (.f64 (pow.f64 1 1/6) (.f64 (pow.f64 (/.f64 1 (-.f64 y 1)) 1/9) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 1 1/6) (.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (+.f64 (.f64 (sqrt.f64 1) (.f64 (.f64 (+.f64 (.f64 1/729 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (-.f64 y 1) 4)) 1/9) (.f64 (pow.f64 x 1/3) (pow.f64 (cbrt.f64 3) 2)))) (.f64 -2/729 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (-.f64 y 1) 4)) 1/9) (.f64 (pow.f64 x 1/3) (pow.f64 (cbrt.f64 3) 2))))) (cbrt.f64 3)) (.f64 (pow.f64 (-.f64 y 1) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)))) (.f64 3 (.f64 (pow.f64 1 1/6) (*.f64 (-.f64 y 1) (sqrt.f64 x)))))))))
(+.f64 (.f64 1/27 (.f64 (pow.f64 1 1/3) (.f64 (.f64 (+.f64 (.f64 1/729 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (-.f64 y 1) 4)) 1/9) (.f64 (pow.f64 x 1/3) (pow.f64 (cbrt.f64 3) 2)))) (.f64 -2/729 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (-.f64 y 1) 4)) 1/9) (.f64 (pow.f64 x 1/3) (pow.f64 (cbrt.f64 3) 2))))) (cbrt.f64 3)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 1 1/6) (.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/243 (.f64 (pow.f64 1 1/6) (.f64 (pow.f64 (/.f64 1 (-.f64 y 1)) 1/9) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (.f64 2/243 (.f64 (pow.f64 1 1/6) (.f64 (pow.f64 (/.f64 1 (-.f64 y 1)) 1/9) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (.f64 3 (.f64 (pow.f64 1 1/6) (.f64 (-.f64 y 1) (sqrt.f64 x)))) (+.f64 (.f64 (sqrt.f64 1) (.f64 (.f64 (+.f64 (.f64 1/729 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (-.f64 y 1) 4)) 1/9) (.f64 (pow.f64 x 1/3) (pow.f64 (cbrt.f64 3) 2)))) (.f64 -2/729 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (-.f64 y 1) 4)) 1/9) (.f64 (pow.f64 x 1/3) (pow.f64 (cbrt.f64 3) 2))))) (cbrt.f64 3)) (.f64 (pow.f64 (-.f64 y 1) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)))) (+.f64 (.f64 -2/6561 (.f64 (pow.f64 (pow.f64 1 7) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/6) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 -2/6561 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/3))) (.f64 1/19683 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/3)))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 1 1/6) (.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (.f64 (sqrt.f64 1) (.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 x) (-.f64 y 1)) 1/3) (.f64 (+.f64 (.f64 -2/6561 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/3))) (.f64 1/19683 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/3))) (pow.f64 (cbrt.f64 3) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 x) (-.f64 y 1)) 1/3) (.f64 (pow.f64 (cbrt.f64 3) 2) (+.f64 (.f64 -2/6561 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/3))) (.f64 1/19683 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/3)))))) (.f64 -2/19683 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (cbrt.f64 3) 2) (-.f64 y 1)) (pow.f64 x 1/3)))))) (cbrt.f64 3)) (.f64 (pow.f64 (-.f64 y 1) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6)))))))))))))
(.f64 3 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 y 1)) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))))
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(.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))))
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(.f64 (sqrt.f64 1) (.f64 (pow.f64 (-.f64 y 1) 1/3) (*.f64 (pow.f64 x 1/6) (cbrt.f64 3))))
(+.f64 (.f64 (sqrt.f64 1) (.f64 (pow.f64 (-.f64 y 1) 1/3) (.f64 (pow.f64 x 1/6) (cbrt.f64 3)))) (.f64 1/27 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/9) (*.f64 (cbrt.f64 3) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))))
(+.f64 (.f64 -1/729 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 7)) 1/9) (.f64 (cbrt.f64 3) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6))))) (+.f64 (.f64 (sqrt.f64 1) (.f64 (pow.f64 (-.f64 y 1) 1/3) (.f64 (pow.f64 x 1/6) (cbrt.f64 3)))) (.f64 1/27 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/9) (*.f64 (cbrt.f64 3) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))))))
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(.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (*.f64 1 (-.f64 y 1))) 1/3) (cbrt.f64 3)))
(+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 -1 (pow.f64 x 5)) 1/6) (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 7) 1) (pow.f64 (-.f64 y 1) 2)) 1/9) (cbrt.f64 3)))) (.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (*.f64 1 (-.f64 y 1))) 1/3) (cbrt.f64 3))))
(+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 -1 (pow.f64 x 5)) 1/6) (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 7) 1) (pow.f64 (-.f64 y 1) 2)) 1/9) (cbrt.f64 3)))) (+.f64 (.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 (-.f64 y 1))) 1/3) (cbrt.f64 3))) (.f64 -1/729 (.f64 (pow.f64 (/.f64 -1 (pow.f64 x 11)) 1/6) (.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 11) 1) (pow.f64 (-.f64 y 1) 7)) 1/9) (cbrt.f64 3))))))
(+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 -1 (pow.f64 x 5)) 1/6) (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 7) 1) (pow.f64 (-.f64 y 1) 2)) 1/9) (cbrt.f64 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 -1 (pow.f64 x 17)) 1/6) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (-.f64 y 1) 2))) 1/3) (.f64 (+.f64 (.f64 -1/19683 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 7) 1) (pow.f64 (-.f64 y 1) 2)) 1/3)) (.f64 2/6561 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 7) (pow.f64 (-.f64 y 1) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (cbrt.f64 3))))) (+.f64 (.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 (-.f64 y 1))) 1/3) (cbrt.f64 3))) (.f64 -1/729 (.f64 (pow.f64 (/.f64 -1 (pow.f64 x 11)) 1/6) (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 11) 1) (pow.f64 (-.f64 y 1) 7)) 1/9) (cbrt.f64 3)))))))
(.f64 (pow.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 3) (pow.f64 x 1/6))))
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Outputs
(.f64 3 (.f64 (pow.f64 1 1/6) (*.f64 (-.f64 y 1) (sqrt.f64 x))))
(.f64 3 (.f64 (+.f64 y -1) (sqrt.f64 x)))
(.f64 (+.f64 y -1) (.f64 (sqrt.f64 x) 3))
(+.f64 (.f64 1/9 (.f64 (pow.f64 1 1/6) (.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 1 1/6) (.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (.f64 3 (.f64 (pow.f64 1 1/6) (*.f64 (-.f64 y 1) (sqrt.f64 x))))))
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(fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (.f64 (cbrt.f64 3) (.f64 y (pow.f64 x 1/6))))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18)) (.f64 (cbrt.f64 3) (.f64 (.f64 y y) (pow.f64 x 1/6)))) (.f64 (cbrt.f64 (+.f64 -1 (/.f64 1/9 x))) (*.f64 (cbrt.f64 3) (pow.f64 x 1/6)))))
(fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (.f64 (cbrt.f64 3) (.f64 y (pow.f64 x 1/6))))) (.f64 (pow.f64 x 1/6) (+.f64 (.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18))) (.f64 (cbrt.f64 3) (.f64 y y))) (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 1/9 x))) (cbrt.f64 3)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) 2)) 1/9) (.f64 (pow.f64 1 1/3) (.f64 (.f64 y (cbrt.f64 3)) (pow.f64 x 1/6))))) (+.f64 (.f64 (pow.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 3) (pow.f64 x 1/6)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) 2)) 1/3) (.f64 (sqrt.f64 1) (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) 2)) 1/3))) (.f64 (pow.f64 y 3) (cbrt.f64 3))) (pow.f64 x 1/6))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) 7)) 1/9) (.f64 (pow.f64 1 1/3) (.f64 (.f64 (pow.f64 y 2) (cbrt.f64 3)) (pow.f64 x 1/6))))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2)) 1/18)) (.f64 (.f64 1 (.f64 y (cbrt.f64 3))) (pow.f64 x 1/6))) (fma.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) -1)) (.f64 (cbrt.f64 3) (pow.f64 x 1/6)) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2))) (.f64 (pow.f64 x 1/6) (.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2))) (.f64 -2/9 (.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2)))))) (.f64 (cbrt.f64 3) (pow.f64 y 3))))) (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 7)) 1/18)) (.f64 1 (.f64 (.f64 y y) (*.f64 (cbrt.f64 3) (pow.f64 x 1/6)))))))))
(fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (.f64 (cbrt.f64 3) (.f64 y (pow.f64 x 1/6))))) (fma.f64 (cbrt.f64 (+.f64 -1 (/.f64 1/9 x))) (.f64 (cbrt.f64 3) (pow.f64 x 1/6)) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2))) (.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2))) (.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2))))) (.f64 (cbrt.f64 3) (.f64 (pow.f64 y 3) (pow.f64 x 1/6))))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18)) (.f64 (.f64 (cbrt.f64 3) (.f64 (.f64 y y) (pow.f64 x 1/6))) -1/9)))))
(+.f64 (.f64 (pow.f64 x 1/6) (+.f64 (.f64 (cbrt.f64 (+.f64 -1 (/.f64 1/9 x))) (cbrt.f64 3)) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18))) (.f64 y (cbrt.f64 3))))) (.f64 (pow.f64 x 1/6) (+.f64 (.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18))) (.f64 (cbrt.f64 3) (.f64 y y))) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)))) (.f64 (cbrt.f64 3) (.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2))) -5/27)))))))

eval360.0ms (3.6%)

Compiler: Compiled 15594 to 12128 computations (22.2% saved)

prune118.0ms (1.2%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	636	21	657
Fresh	14	2	16
Picked	1	0	1
Done	1	3	4
Total	652	26	678

Error

Counts

678 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	54.3b	(sqrt.f64 (*.f64 x (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 2)))
	39.3b	(.f64 (sqrt.f64 x) (.f64 3 y))
	1.1b	(.f64 (pow.f64 (pow.f64 (.f64 x 9) 1/4) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
	24.6b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))) 3)
	39.5b	(.f64 3 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) y)) 3))
✓	0.8b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶	0.4b	(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
	24.1b	(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
	60.7b	(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
▶	24.9b	(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
	39.3b	(.f64 y (.f64 (sqrt.f64 x) 3))
✓	24.1b	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
	24.1b	(.f64 (sqrt.f64 x) (+.f64 (.f64 (/.f64 1/9 x) 3) -3))
	39.2b	(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))
✓	39.3b	(.f64 3 (.f64 (sqrt.f64 x) y))
	24.1b	(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
▶	0.9b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
	0.4b	(.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (sqrt.f64 x))
	0.5b	(.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x)))
▶	48.0b	(*.f64 (sqrt.f64 x) -3)
	25.4b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 y 1))
	18.7b	(.f64 (cbrt.f64 (pow.f64 (.f64 x 9) 3/2)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶	24.1b	(.f64 (sqrt.f64 x) (-.f64 -3 (pow.f64 (.f64 x -3) -1)))
	39.5b	(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
	39.9b	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))) 2)
	0.4b	(fma.f64 (.f64 (+.f64 y -1) (sqrt.f64 x)) 3 (.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))

Compiler

Compiled 612 to 491 computations (19.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3)))
✓	0.1b	(fma.f64 y -3 (/.f64 (/.f64 1 x) -3))
✓	0.2b	(/.f64 (/.f64 1 x) -3)
✓	0.3b	(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))

Compiler

Compiled 47 to 34 computations (27.7% saved)

series7.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3)))
1.0ms	x	@	0	(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
0.0ms	y	@	inf	(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))

rewrite88.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
396×	`exp-prod_binary64`
319×	`pow-prod-down_binary64`
292×	`pow2_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	240	39
2	3003	39

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
(/.f64 (/.f64 1 x) -3)
(fma.f64 y -3 (/.f64 (/.f64 1 x) -3))
(-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3)))

Outputs
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(fma.f64 -3 y (/.f64 -1/3 x))) 2) (.f64 -3 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (pow.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 2)) (-.f64 -3 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 -3 y (/.f64 -1/3 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 9) (-.f64 -27 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2)) (cbrt.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) (sqrt.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (neg.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (neg.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 -3 y (/.f64 -1/3 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 2) (cbrt.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) (sqrt.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))) (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) -3)))))

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

809×	`fma-neg_binary64`
534×	`fma-def_binary64`
348×	`cancel-sign-sub-inv_binary64`
142×	`distribute-rgt-in_binary64`
107×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	726
1	77	655
2	160	617
3	369	617
4	942	617
5	2035	617
6	2980	617
7	3356	617
8	3997	617
9	4005	617
10	4005	617

Stop Event

1×

saturated

Counts

230 → 180

Calls

Call 1

Inputs
(.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(/.f64 -1/3 x)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(*.f64 3 y)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(*.f64 3 y)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(/.f64 1/3 x)
(+.f64 (.f64 -1 (+.f64 3 (.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 -1 (+.f64 3 (.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 -1 (+.f64 3 (.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(.f64 -1 (+.f64 3 (.f64 -3 y)))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(.f64 -1 (+.f64 3 (.f64 -3 y)))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))

Outputs
(.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x)))
(*.f64 (+.f64 3 (/.f64 -1/3 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (.f64 -1 (.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (neg.f64 (.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (.f64 3 y)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(/.f64 -1/3 x)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (.f64 -3 y) (.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 3 y) (.f64 1/3 (/.f64 1 x))) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(*.f64 3 y)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(*.f64 3 y)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(/.f64 1/3 x)
(+.f64 (.f64 -1 (+.f64 3 (.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 -1 (+.f64 3 (.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 -1 (+.f64 3 (.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(.f64 -1 (+.f64 3 (.f64 -3 y)))
(neg.f64 (+.f64 3 (*.f64 y -3)))
(fma.f64 3 y -3)
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(.f64 -1 (+.f64 3 (.f64 -3 y)))
(neg.f64 (+.f64 3 (*.f64 y -3)))
(fma.f64 3 y -3)
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sqrt.f64 x) -3)

Compiler

Compiled 10 to 6 computations (40% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (sqrt.f64 x) -3)
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) -3)
0.0ms	x	@	inf	(*.f64 (sqrt.f64 x) -3)

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

418×	`pow1_binary64`
408×	`add-sqr-sqrt_binary64`
397×	`*-un-lft-identity_binary64`
390×	`add-log-exp_binary64`
390×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	100	6
2	1092	6

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) -3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) -3))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) -3)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 x) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) -27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) -27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) -3)))))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

15 → 15

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -3 (*.f64 y -3))
✓	0.3b	(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
1.0ms	x	@	inf	(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
1.0ms	y	@	0	(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
0.0ms	y	@	-inf	(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`pow1_binary64`
814×	`add-log-exp_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
798×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	174	19
2	2200	19

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(-.f64 -3 (*.f64 y -3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (sqrt.f64 x)) (*.f64 (*.f64 y 3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) -3) (*.f64 (sqrt.f64 x) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -27 (*.f64 (pow.f64 y 3) -27)) (sqrt.f64 x)) (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 y (*.f64 9 y))) (sqrt.f64 x)) (*.f64 (+.f64 y 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 -27 (*.f64 (pow.f64 y 3) -27))) (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 9 (*.f64 y (*.f64 9 y)))) (*.f64 (+.f64 y 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (+.f64 -3 (*.f64 y 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (+.f64 -3 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 -3 (*.f64 y 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 -3 (*.f64 y 3)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 (*.f64 y 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -3 (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -3 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -3 (*.f64 y 3))) (pow.f64 (cbrt.f64 (+.f64 -3 (*.f64 y 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (*.f64 y 3))) 2) (cbrt.f64 (+.f64 -3 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -3 (*.f64 y 3))) (sqrt.f64 (+.f64 -3 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -27 (*.f64 (pow.f64 y 3) -27)) (/.f64 1 (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 9 (*.f64 y (*.f64 9 y))) (/.f64 1 (*.f64 (+.f64 y 1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 y) 1) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y))) (-.f64 -27 (*.f64 (pow.f64 y 3) -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 y 1) -3) (-.f64 9 (*.f64 y (*.f64 9 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -27 (*.f64 (pow.f64 y 3) -27)) (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 y (*.f64 9 y))) (*.f64 (+.f64 y 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -27 (*.f64 (pow.f64 y 3) -27))) (neg.f64 (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 9 (*.f64 y (*.f64 9 y)))) (neg.f64 (*.f64 (+.f64 y 1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (pow.f64 (*.f64 y 3) 3)) (+.f64 9 (-.f64 (*.f64 (*.f64 y 3) (*.f64 y 3)) (*.f64 -3 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 (*.f64 y 3) (*.f64 y 3))) (-.f64 -3 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -3 (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -3 (*.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -3 (*.f64 y 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -3 (*.f64 y 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -3 (*.f64 y 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -3 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -3 (*.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -3 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -3 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -3 (*.f64 y 3))))))))

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`fma-def_binary64`
6×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	213
1	22	168
2	36	168
3	42	168

Stop Event

1×

saturated

Counts

72 → 57

Calls

Call 1

Inputs
(*.f64 -3 (sqrt.f64 x))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
-3
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(*.f64 3 y)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(*.f64 3 y)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)

Outputs
(*.f64 -3 (sqrt.f64 x))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (.f64 3 y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (.f64 3 y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
-3
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(*.f64 3 y)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(*.f64 3 y)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 y (/.f64 -1/9 x))
✓	0.2b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
✓	0.4b	(/.f64 -1/9 x)
	0.6b	(sqrt.f64 (*.f64 x 9))

Compiler

Compiled 41 to 29 computations (29.3% saved)

series11.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(/.f64 -1/9 x)
0.0ms	x	@	-inf	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
0.0ms	x	@	inf	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
0.0ms	x	@	0	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
0.0ms	y	@	-inf	(-.f64 y (/.f64 -1/9 x))

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`prod-diff_binary64`
575×	`log-prod_binary64`
343×	`fma-def_binary64`
322×	`pow2_binary64`
235×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	267	29
2	3468	29

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

Inputs
(/.f64 -1/9 x)
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(-.f64 y (/.f64 -1/9 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -1/9 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/9 x)) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (cbrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/9 x)) (sqrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/9 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/729 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x -9) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1/729 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/9 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -1/9 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/9 x) 1)) 2) (cbrt.f64 (+.f64 (/.f64 -1/9 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -1/9 x) 1)) (sqrt.f64 (+.f64 (/.f64 -1/9 x) 1)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y (/.f64 1/9 x)) (*.f64 3 (sqrt.f64 x))) (*.f64 -1 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (/.f64 1/9 x))) (*.f64 (*.f64 3 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 3 (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 3 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 3) -1) (*.f64 3 (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) (+.f64 y (+.f64 (/.f64 1/9 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) -1) (*.f64 3 (sqrt.f64 x))) (+.f64 y (+.f64 (/.f64 1/9 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 3) -1)) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) (+.f64 y (+.f64 (/.f64 1/9 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) -1)) (+.f64 y (+.f64 (/.f64 1/9 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) 3/2) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3) (pow.f64 (*.f64 x 9) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9) 3/2) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3) (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (/.f64 1/9 x)) (*.f64 (*.f64 3 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (/.f64 1/9 x)) (*.f64 3 (sqrt.f64 x)) (*.f64 -1 (*.f64 3 (sqrt.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (/.f64 1/9 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (/.f64 1/9 x)) (fma.f64 (neg.f64 (pow.f64 x -1)) -1/9 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (/.f64 1/9 x)) (fma.f64 (/.f64 1/9 x) 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (/.f64 1/9 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/9 x))) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (/.f64 1/9 x)) (+.f64 (/.f64 1/9 x) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (/.f64 1/9 x)) (fma.f64 -1 (/.f64 -1/9 x) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (/.f64 1/9 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)) (cbrt.f64 (/.f64 -1/9 x)) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (/.f64 1/9 x)) (fma.f64 1/9 (pow.f64 x -1) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 y (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y 1 (neg.f64 (*.f64 (/.f64 1 (neg.f64 x)) 1/9))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) 1/9 (*.f64 (/.f64 1 (neg.f64 x)) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 1 (neg.f64 x)) 1/9))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) 1/9 (*.f64 (/.f64 1 (neg.f64 x)) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)) (neg.f64 (*.f64 (/.f64 1 (neg.f64 x)) 1/9))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) 1/9 (*.f64 (/.f64 1 (neg.f64 x)) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (neg.f64 (*.f64 (/.f64 1 (neg.f64 x)) 1/9))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) 1/9 (*.f64 (/.f64 1 (neg.f64 x)) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (*.f64 (/.f64 1 (neg.f64 x)) 1/9))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 x))) 1/9 (*.f64 (/.f64 1 (neg.f64 x)) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 y (/.f64 1/9 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 y (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 y (/.f64 1/9 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 y (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (/.f64 1/9 x))) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 1/9 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 1/9 x))) 2) (cbrt.f64 (+.f64 y (/.f64 1/9 x))))))) 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simplify228.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1400×	`fma-neg_binary64`
911×	`fma-def_binary64`
256×	`distribute-rgt-neg-in_binary64`
207×	`distribute-rgt-in_binary64`
182×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	378
1	38	333
2	84	312
3	198	312
4	407	312
5	815	312
6	1181	312
7	1919	312
8	3398	312
9	4486	312
10	4932	312
11	5485	312
12	5486	312
13	5486	312
14	6296	312
15	6296	312
16	6296	312
17	6296	312

Stop Event

1×

saturated

Counts

219 → 192

Calls

Call 1

Inputs
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))

Outputs
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 3 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 3 (.f64 (sqrt.f64 x) y))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (.f64 3 (.f64 (-.f64 (.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (.f64 3 (*.f64 y (sqrt.f64 x))))
(.f64 3 (+.f64 (.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -3 (pow.f64 (*.f64 x -3) -1))
	0.3b	(pow.f64 (*.f64 x -3) -1)
✓	0.3b	(.f64 (sqrt.f64 x) (-.f64 -3 (pow.f64 (.f64 x -3) -1)))

Compiler

Compiled 32 to 24 computations (25% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (sqrt.f64 x) (-.f64 -3 (pow.f64 (.f64 x -3) -1)))
0.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (-.f64 -3 (pow.f64 (.f64 x -3) -1)))
0.0ms	x	@	inf	(.f64 (sqrt.f64 x) (-.f64 -3 (pow.f64 (.f64 x -3) -1)))
0.0ms	x	@	inf	(-.f64 -3 (pow.f64 (*.f64 x -3) -1))
0.0ms	x	@	0	(-.f64 -3 (pow.f64 (*.f64 x -3) -1))

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`pow1_binary64`
899×	`add-log-exp_binary64`
899×	`log1p-expm1-u_binary64`
899×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	198	19
2	2425	19

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(.f64 (sqrt.f64 x) (-.f64 -3 (pow.f64 (.f64 x -3) -1)))
(-.f64 -3 (pow.f64 (*.f64 x -3) -1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (sqrt.f64 x)) (*.f64 (neg.f64 (/.f64 -1/3 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) -3) (*.f64 (sqrt.f64 x) (neg.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -27 (pow.f64 (*.f64 x -3) -3)) (sqrt.f64 x)) (+.f64 9 (*.f64 (/.f64 -1/3 x) (+.f64 -3 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (pow.f64 (*.f64 x -3) -2)) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 -27 (pow.f64 (*.f64 x -3) -3))) (+.f64 9 (*.f64 (/.f64 -1/3 x) (+.f64 -3 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 9 (pow.f64 (*.f64 x -3) -2))) (+.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 -3 (/.f64 -1/3 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (neg.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 (neg.f64 (/.f64 -1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 -1/3 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -3 (/.f64 -1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 -3 (/.f64 -1/3 x))) (pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 -1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 -1/3 x))) 2) (cbrt.f64 (-.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -3 (/.f64 -1/3 x))) (sqrt.f64 (-.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -27 (pow.f64 (*.f64 x -3) -3)) (/.f64 1 (+.f64 9 (*.f64 (/.f64 -1/3 x) (+.f64 -3 (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 9 (pow.f64 (*.f64 x -3) -2)) (/.f64 1 (+.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 9 (*.f64 (/.f64 -1/3 x) (+.f64 -3 (/.f64 -1/3 x)))) (-.f64 -27 (pow.f64 (*.f64 x -3) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -3 (/.f64 -1/3 x)) (-.f64 9 (pow.f64 (*.f64 x -3) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -27 (pow.f64 (*.f64 x -3) -3)) (+.f64 9 (*.f64 (/.f64 -1/3 x) (+.f64 -3 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (pow.f64 (*.f64 x -3) -2)) (+.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -27 (pow.f64 (*.f64 x -3) -3))) (neg.f64 (+.f64 9 (*.f64 (/.f64 -1/3 x) (+.f64 -3 (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 9 (pow.f64 (*.f64 x -3) -2))) (neg.f64 (+.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (pow.f64 (neg.f64 (/.f64 -1/3 x)) 3)) (+.f64 9 (-.f64 (*.f64 (neg.f64 (/.f64 -1/3 x)) (neg.f64 (/.f64 -1/3 x))) (*.f64 -3 (neg.f64 (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 (neg.f64 (/.f64 -1/3 x)) (neg.f64 (/.f64 -1/3 x)))) (-.f64 -3 (neg.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 -1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 -3 (/.f64 -1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 -3 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -3 (/.f64 -1/3 x))))))))

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-neg_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-*r/_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	17	69
2	20	69

Stop Event

1×

saturated

Counts

61 → 53

Calls

Call 1

Inputs
(/.f64 1/3 x)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)

Outputs
(/.f64 1/3 x)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)

eval219.0ms (2.2%)

Compiler: Compiled 9500 to 6964 computations (26.7% saved)

prune102.0ms (1%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	550	10	560
Fresh	8	10	18
Picked	1	0	1
Done	2	5	7
Total	561	25	586

Error

Counts

586 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	24.6b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))) 3)
	39.5b	(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
	39.5b	(.f64 3 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) y)) 3))
	24.1b	(.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 1 (.f64 x -3))))
▶	0.4b	(fma.f64 (.f64 (+.f64 y -1) (sqrt.f64 x)) 3 (.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
▶	24.1b	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))
✓	24.9b	(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
	39.3b	(.f64 y (.f64 (sqrt.f64 x) 3))
	52.3b	(cbrt.f64 (*.f64 (pow.f64 x 3/2) -27))
✓	24.1b	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
	24.1b	(.f64 (sqrt.f64 x) (+.f64 (.f64 (/.f64 1/9 x) 3) -3))
▶	39.2b	(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))
	39.3b	(.f64 (sqrt.f64 x) (.f64 3 y))
✓	39.3b	(.f64 3 (.f64 (sqrt.f64 x) y))
	24.1b	(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
✓	0.9b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
	0.4b	(.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (sqrt.f64 x))
✓	48.0b	(*.f64 (sqrt.f64 x) -3)
	25.4b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 y 1))
	28.4b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (.f64 (-.f64 (.f64 y y) (/.f64 1/81 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 -1/9 x) y))) 1))
	39.9b	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))) 2)
	1.1b	(.f64 (pow.f64 (pow.f64 (.f64 x 9) 1/4) 2) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
	24.3b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
▶	60.7b	(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
▶	62.0b	(sqrt.f64 (*.f64 x 9))

Compiler

Compiled 548 to 436 computations (20.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (.f64 (+.f64 y -1) (sqrt.f64 x)) 3 (.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
✓	0.3b	(.f64 3 (.f64 (sqrt.f64 x) (/.f64 1/9 x)))
	0.4b	(/.f64 1/9 x)
✓	0.4b	(*.f64 (sqrt.f64 x) (/.f64 1/9 x))

Compiler

Compiled 51 to 31 computations (39.2% saved)

series9.0ms (0.1%)

Counts

3 → 12

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (sqrt.f64 x) (/.f64 1/9 x))
1.0ms	x	@	-inf	(fma.f64 (.f64 (+.f64 y -1) (sqrt.f64 x)) 3 (.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
1.0ms	y	@	0	(fma.f64 (.f64 (+.f64 y -1) (sqrt.f64 x)) 3 (.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
1.0ms	x	@	inf	(fma.f64 (.f64 (+.f64 y -1) (sqrt.f64 x)) 3 (.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
1.0ms	y	@	-inf	(fma.f64 (.f64 (+.f64 y -1) (sqrt.f64 x)) 3 (.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`log-prod_binary64`
344×	`pow2_binary64`
284×	`prod-diff_binary64`
242×	`pow-unpow_binary64`
240×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	278	44
2	3402	42

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) (/.f64 1/9 x))
(.f64 3 (.f64 (sqrt.f64 x) (/.f64 1/9 x)))
(fma.f64 (.f64 (+.f64 y -1) (sqrt.f64 x)) 3 (.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/9 x)) (sqrt.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/9 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/9 x)) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/9 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sqrt.f64 x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 1/9) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 x) 1/9)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 x) 1/9) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 x) 1/9) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 x) 1/9) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/9 (sqrt.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) -1/9) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/81 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 x 9) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) -3) (pow.f64 x 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (sqrt.f64 x) 1/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (/.f64 1/81 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/9 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 x 9) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9) -3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 0 (log.f64 (/.f64 1/9 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 0 (log.f64 (/.f64 1/9 (sqrt.f64 x)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 1/9 x)) (sqrt.f64 x)) 2)) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (/.f64 1/9 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (/.f64 1/9 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 3) (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 1/9) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (*.f64 (sqrt.f64 x) 1/9)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) 1/9) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) 1) (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) -1/9) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x (/.f64 1/81 (*.f64 x x))) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x (/.f64 1/81 (*.f64 x x))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (/.f64 1/9 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 3) (/.f64 1/9 (sqrt.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (exp.f64 3) (/.f64 1/9 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3)) (*.f64 (+.f64 y -1) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y -1) (*.f64 (sqrt.f64 x) 3)) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 y -1) (*.f64 (sqrt.f64 x) 3)) 1) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))) (cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))) 2)) (cbrt.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))) (sqrt.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y -1) (*.f64 (sqrt.f64 x) 3)) 3) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 y -1) (*.f64 (sqrt.f64 x) 3)) 2) (-.f64 (*.f64 (*.f64 x (/.f64 1/81 (*.f64 x x))) 9) (*.f64 (*.f64 (+.f64 y -1) (*.f64 (sqrt.f64 x) 3)) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y -1) (*.f64 (sqrt.f64 x) 3)) 2) (*.f64 (*.f64 x (/.f64 1/81 (*.f64 x x))) 9)) (-.f64 (*.f64 (+.f64 y -1) (*.f64 (sqrt.f64 x) 3)) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/9 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 3) (/.f64 1/9 (sqrt.f64 x))) (exp.f64 (*.f64 (+.f64 y -1) (*.f64 (sqrt.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 3) (/.f64 1/9 (sqrt.f64 x))) 1)) (exp.f64 (*.f64 (+.f64 y -1) (*.f64 (sqrt.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 y -1) (*.f64 (sqrt.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 3) (/.f64 1/9 (sqrt.f64 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (fma.f64 (sqrt.f64 x) (+.f64 y -1) (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))) 1))))))

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

35×	`fma-def_binary64`
9×	`*-commutative_binary64`
6×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	249
1	31	249
2	52	222
3	83	204
4	89	204
5	90	204

Stop Event

1×

saturated

Counts

97 → 91

Calls

Call 1

Inputs
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))

Outputs
(+.f64 (.f64 -3 (sqrt.f64 x)) (.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 -3 (sqrt.f64 x))))
(fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 3 y) -3)))
(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (*.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 -3 (sqrt.f64 x))))
(fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 3 y) -3)))
(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (*.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 -3 (sqrt.f64 x))))
(fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 3 y) -3)))
(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (*.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(.f64 y (.f64 (sqrt.f64 x) 3))
(.f64 (sqrt.f64 x) (.f64 3 y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 -3 (sqrt.f64 x))))
(fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 3 y) -3)))
(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (*.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 -3 (sqrt.f64 x))))
(fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 3 y) -3)))
(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (*.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 -3 (sqrt.f64 x))))
(fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 3 y) -3)))
(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (*.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 (sqrt.f64 x) y))
(.f64 y (.f64 (sqrt.f64 x) 3))
(.f64 (sqrt.f64 x) (.f64 3 y))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 -3 (sqrt.f64 x))))
(fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 3 y) -3)))
(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (*.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 -3 (sqrt.f64 x))))
(fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 3 y) -3)))
(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (*.f64 1/3 (sqrt.f64 (/.f64 1 x))))
(+.f64 (.f64 3 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 x))) (.f64 -3 (sqrt.f64 x))))
(fma.f64 3 (.f64 (sqrt.f64 x) y) (fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 -3 (sqrt.f64 x))))
(fma.f64 1/3 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 3 y) -3)))
(fma.f64 (sqrt.f64 x) (fma.f64 3 y -3) (*.f64 1/3 (sqrt.f64 (/.f64 1 x))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.6b	(sqrt.f64 (*.f64 x 9))

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 9 (.f64 x (*.f64 y y)))
✓	9.2b	(.f64 x (.f64 y y))
✓	23.9b	(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))

Compiler

Compiled 28 to 10 computations (64.3% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
1.0ms	x	@	0	(.f64 x (.f64 y y))
1.0ms	y	@	0	(.f64 x (.f64 y y))
1.0ms	y	@	inf	(.f64 x (.f64 y y))
0.0ms	x	@	0	(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
674×	`add-log-exp_binary64`
674×	`log1p-expm1-u_binary64`
674×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	165	26
2	1924	26

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs
(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
(.f64 x (.f64 y y))
(.f64 9 (.f64 x (*.f64 y y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (*.f64 9 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 (*.f64 x (*.f64 y y)))) (cbrt.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))) (sqrt.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 x)) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 9 (*.f64 x (*.f64 y y)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 9 (*.f64 x (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 3 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 9 (*.f64 x (*.f64 y y)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 9 (*.f64 x (*.f64 y y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 9 x) 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (*.f64 x (*.f64 y y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9 (*.f64 x (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (*.f64 x (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 81 (pow.f64 (*.f64 x (*.f64 y y)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 (*.f64 x (*.f64 y y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9 (*.f64 x (*.f64 y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81 (pow.f64 (*.f64 x (*.f64 y y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9) (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9 (*.f64 x (*.f64 y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9 (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9 (*.f64 x (*.f64 y y)))))))))

simplify212.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
634×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	516
1	30	516
2	64	516
3	137	516
4	347	516
5	1096	516
6	1394	516
7	1808	516
8	1908	516
9	2042	516
10	2211	516
11	2454	516
12	2771	516
13	3143	516
14	3601	516
15	4186	516
16	4896	516
17	5758	516
18	6178	516
19	6492	516
20	6796	516
21	6872	516
22	6908	516

Stop Event

1×	node limit

Counts

111 → 58

Calls

Call 1

Inputs
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 -3 (.f64 y (sqrt.f64 x)))
(.f64 -3 (.f64 y (sqrt.f64 x)))
(.f64 -3 (.f64 y (sqrt.f64 x)))
(.f64 -3 (.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 9 (.f64 (pow.f64 y 2) x))

Outputs
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 3 y) (sqrt.f64 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 -3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 -3 y) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 y -3))
(.f64 y (.f64 (sqrt.f64 x) -3))
(.f64 -3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 -3 y) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 y -3))
(.f64 y (.f64 (sqrt.f64 x) -3))
(.f64 -3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 -3 y) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 y -3))
(.f64 y (.f64 (sqrt.f64 x) -3))
(.f64 -3 (.f64 y (sqrt.f64 x)))
(.f64 (.f64 -3 y) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 y -3))
(.f64 y (.f64 (sqrt.f64 x) -3))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))
(.f64 9 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 x (*.f64 y y)) 9)
(.f64 x (.f64 (*.f64 y y) 9))
(.f64 y (.f64 x (*.f64 y 9)))
(.f64 x (.f64 y (*.f64 y 9)))
(.f64 y (.f64 y (*.f64 x 9)))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -3 (/.f64 (/.f64 1 x) -3))
	0.2b	(/.f64 (/.f64 1 x) -3)
✓	0.3b	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))

Compiler

Compiled 32 to 24 computations (25% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))
0.0ms	x	@	0	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))
0.0ms	x	@	0	(-.f64 -3 (/.f64 (/.f64 1 x) -3))
0.0ms	x	@	inf	(-.f64 -3 (/.f64 (/.f64 1 x) -3))

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`pow1_binary64`
906×	`add-log-exp_binary64`
906×	`log1p-expm1-u_binary64`
906×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	200	19
2	2537	19

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))
(-.f64 -3 (/.f64 (/.f64 1 x) -3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (sqrt.f64 x)) (*.f64 (neg.f64 (/.f64 -1/3 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) -3) (*.f64 (sqrt.f64 x) (neg.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -27 (pow.f64 (/.f64 -1/3 x) 3)) (sqrt.f64 x)) (+.f64 9 (*.f64 (/.f64 -1/3 x) (+.f64 -3 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 (pow.f64 x -2) 1/9)) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 -27 (pow.f64 (/.f64 -1/3 x) 3))) (+.f64 9 (*.f64 (/.f64 -1/3 x) (+.f64 -3 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 9 (*.f64 (pow.f64 x -2) 1/9))) (+.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (neg.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 (neg.f64 (/.f64 -1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 -1/3 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -3 (/.f64 -1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 -3 (/.f64 -1/3 x))) (pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 -1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 -1/3 x))) 2) (cbrt.f64 (-.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -3 (/.f64 -1/3 x))) (sqrt.f64 (-.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -27 (pow.f64 (/.f64 -1/3 x) 3)) (/.f64 1 (+.f64 9 (*.f64 (/.f64 -1/3 x) (+.f64 -3 (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 9 (*.f64 (pow.f64 x -2) 1/9)) (/.f64 1 (+.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 9 (*.f64 (/.f64 -1/3 x) (+.f64 -3 (/.f64 -1/3 x)))) (-.f64 -27 (pow.f64 (/.f64 -1/3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -3 (/.f64 -1/3 x)) (-.f64 9 (*.f64 (pow.f64 x -2) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -27 (pow.f64 (/.f64 -1/3 x) 3)) (+.f64 9 (*.f64 (/.f64 -1/3 x) (+.f64 -3 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 (pow.f64 x -2) 1/9)) (+.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -27 (pow.f64 (/.f64 -1/3 x) 3))) (neg.f64 (+.f64 9 (*.f64 (/.f64 -1/3 x) (+.f64 -3 (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 9 (*.f64 (pow.f64 x -2) 1/9))) (neg.f64 (+.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (pow.f64 (neg.f64 (/.f64 -1/3 x)) 3)) (+.f64 9 (-.f64 (*.f64 (neg.f64 (/.f64 -1/3 x)) (neg.f64 (/.f64 -1/3 x))) (*.f64 -3 (neg.f64 (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 (neg.f64 (/.f64 -1/3 x)) (neg.f64 (/.f64 -1/3 x)))) (-.f64 -3 (neg.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 -1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 -3 (/.f64 -1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 -3 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -3 (/.f64 -1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -3 (/.f64 -1/3 x))))))))

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-neg_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-*r/_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	17	69
2	20	69

Stop Event

1×

saturated

Counts

61 → 53

Calls

Call 1

Inputs
(/.f64 1/3 x)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)

Outputs
(/.f64 1/3 x)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/9 (*.f64 x x))
	0.4b	(/.f64 -1/3 x)
✓	7.3b	(.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x))
✓	10.6b	(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))

Compiler

Compiled 58 to 35 computations (39.7% saved)

series302.0ms (3%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
296.0ms	x	@	-inf	(.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))
1.0ms	x	@	0	(/.f64 1/9 (*.f64 x x))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`log-prod_binary64`
281×	`prod-diff_binary64`
263×	`log-div_binary64`
262×	`expm1-udef_binary64`
262×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	327	34
2	4433	32

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))
(.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x))
(/.f64 1/9 (*.f64 x x))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (sqrt.f64 x)) (*.f64 (*.f64 -1/9 (pow.f64 x -2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) 9) (*.f64 (sqrt.f64 x) (*.f64 -1/9 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (fma.f64 -1/9 (pow.f64 x -2) 9))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (fma.f64 -1/9 (pow.f64 x -2) 9))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (fma.f64 -1/9 (pow.f64 x -2) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (fma.f64 -1/9 (pow.f64 x -2) 9)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (fma.f64 -1/9 (pow.f64 x -2) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 729 (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 3)) (sqrt.f64 x)) (+.f64 81 (+.f64 (/.f64 1/81 (pow.f64 x 4)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 81 (/.f64 1/81 (pow.f64 x 4))) (sqrt.f64 x)) (fma.f64 1/9 (pow.f64 x -2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 729 (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 3))) (+.f64 81 (+.f64 (/.f64 1/81 (pow.f64 x 4)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 81 (/.f64 1/81 (pow.f64 x 4)))) (fma.f64 1/9 (pow.f64 x -2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (fma.f64 -1/9 (pow.f64 x -2) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/9 (pow.f64 x -2) 9) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (sqrt.f64 x) (*.f64 (*.f64 -1/9 (pow.f64 x -2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 9 (*.f64 (sqrt.f64 x) (*.f64 -1/9 (pow.f64 x -2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 -1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 -1/3 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1/3 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (*.f64 (/.f64 1 x) (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 x) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 -1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 x) 2)) (cbrt.f64 (/.f64 1/81 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 x) 2)) (*.f64 (cbrt.f64 (/.f64 -1/3 x)) (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (/.f64 -1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/3 x)) (*.f64 (sqrt.f64 (/.f64 -1/3 x)) (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/3 x) (sqrt.f64 (/.f64 -1/3 x))) (sqrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/3 x) -1/3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/3 x) (cbrt.f64 (pow.f64 (/.f64 -1/3 x) 2))) (cbrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 -1/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 -1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 -1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 -1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 -1/3 x) 2)) 1))))))

simplify167.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	11	84
2	20	84
3	35	84
4	75	84
5	224	84
6	834	84
7	2043	84
8	2209	84
9	2393	84
10	2601	84
11	2898	84
12	3291	84
13	3772	84
14	4340	84
15	5028	84
16	5863	84
17	6255	84
18	6543	84
19	6819	84
20	6891	84
21	6927	84

Stop Event

1×	node limit

Counts

120 → 110

Calls

Call 1

Inputs
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (pow.f64 x 2))

Outputs
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (*.f64 x x))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (*.f64 x x))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (*.f64 x x))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (*.f64 x x))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (*.f64 x x))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (*.f64 x x))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (*.f64 x x))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (*.f64 x x))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (*.f64 x x))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (*.f64 x x))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (*.f64 x x))
(/.f64 1/9 (pow.f64 x 2))
(/.f64 1/9 (*.f64 x x))

eval474.0ms (4.7%)

Compiler: Compiled 7180 to 5048 computations (29.7% saved)

prune143.0ms (1.4%)

Pruning

27 alts after pruning (17 fresh and 10 done)

	Pruned	Kept	Total
New	435	6	441
Fresh	4	11	15
Picked	0	1	1
Done	0	9	9
Total	439	27	466

Error

Counts

466 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(.f64 3 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) y)) 3))
	24.1b	(.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 1 (.f64 x -3))))
	24.3b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
	39.9b	(pow.f64 (sqrt.f64 (*.f64 (-.f64 -3 (/.f64 -1/3 x)) (sqrt.f64 x))) 2)
✓	0.4b	(fma.f64 (.f64 (+.f64 y -1) (sqrt.f64 x)) 3 (.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
	24.6b	(pow.f64 (cbrt.f64 (*.f64 (-.f64 -3 (/.f64 -1/3 x)) (sqrt.f64 x))) 3)
✓	24.1b	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))
✓	60.7b	(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
	39.2b	(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (*.f64 (/.f64 1 x) -1/3)))
✓	24.9b	(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
	39.3b	(.f64 y (.f64 (sqrt.f64 x) 3))
	52.3b	(cbrt.f64 (*.f64 (pow.f64 x 3/2) -27))
✓	24.1b	(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
	24.1b	(.f64 (sqrt.f64 x) (+.f64 (.f64 (/.f64 1/9 x) 3) -3))
✓	39.2b	(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))
	39.5b	(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
	39.3b	(.f64 (sqrt.f64 x) (.f64 3 y))
✓	39.3b	(.f64 3 (.f64 (sqrt.f64 x) y))
	24.1b	(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
✓	0.9b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
	62.0b	(*.f64 (sqrt.f64 x) 3)
	0.4b	(.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (sqrt.f64 x))
✓	48.0b	(*.f64 (sqrt.f64 x) -3)
	25.4b	(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 y 1))
	1.1b	(.f64 (pow.f64 (pow.f64 (.f64 x 9) 1/4) 2) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
	39.5b	(.f64 (sqrt.f64 (.f64 9 x)) y)
✓	62.0b	(sqrt.f64 (*.f64 x 9))

Compiler

Compiled 306 to 245 computations (19.9% saved)

regimes124.0ms (1.2%)

Counts

60 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 y (.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 (sqrt.f64 x) y))
(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 1 (.f64 x -3))))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (/.f64 1/9 x) 3) -3))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (sqrt.f64 x))
(.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (.f64 -3 y))))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))
(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (*.f64 (/.f64 1 x) -1/3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (.f64 (-.f64 (.f64 y y) (/.f64 1/81 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 -1/9 x) y))) 1))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) -27))
(sqrt.f64 (*.f64 x (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 2)))
(.f64 (sqrt.f64 x) (-.f64 -3 (pow.f64 (.f64 x -3) -1)))
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
(sqrt.f64 (.f64 (.f64 x 9) (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2)))
(.f64 (pow.f64 (pow.f64 (.f64 x 9) 1/4) 2) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(.f64 (cbrt.f64 (pow.f64 (.f64 x 9) 3/2)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(.f64 (pow.f64 (pow.f64 (.f64 x 9) 1/4) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (pow.f64 (.f64 x 9) -2) (.f64 y y)) (-.f64 (/.f64 1/9 x) y)) 1))
(.f64 3 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) y)) 3))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 -3 (/.f64 -1/3 x)) (sqrt.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 -3 (/.f64 -1/3 x)) (sqrt.f64 x))) 3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))) 2)
(.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (.f64 x -3) -1))))
(pow.f64 (sqrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 2)
(cbrt.f64 (pow.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 3))
(pow.f64 (cbrt.f64 (.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) y)) 3) 1))
(fma.f64 (.f64 (+.f64 y -1) (sqrt.f64 x)) 3 (.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
(.f64 (pow.f64 (sqrt.f64 (.f64 3 (sqrt.f64 x))) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(fma.f64 (sqrt.f64 x) -3 (*.f64 (sqrt.f64 x) (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2)

Outputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))

Calls

3 calls:

38.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
32.0ms	x
31.0ms	y

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))`

Compiler

Compiled 697 to 486 computations (30.3% saved)

regimes72.0ms (0.7%)

Counts

38 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 y (.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 (sqrt.f64 x) y))
(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 1 (.f64 x -3))))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (/.f64 1/9 x) 3) -3))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (sqrt.f64 x))
(.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (.f64 -3 y))))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))
(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (*.f64 (/.f64 1 x) -1/3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (.f64 (-.f64 (.f64 y y) (/.f64 1/81 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 -1/9 x) y))) 1))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) -27))
(sqrt.f64 (*.f64 x (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 2)))
(.f64 (sqrt.f64 x) (-.f64 -3 (pow.f64 (.f64 x -3) -1)))
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))

Outputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))

Calls

3 calls:

22.0ms	x
20.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
18.0ms	y

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))`

Compiler

Compiled 391 to 266 computations (32% saved)

regimes72.0ms (0.7%)

Counts

37 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 y (.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 (sqrt.f64 x) y))
(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 1 (.f64 x -3))))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (/.f64 1/9 x) 3) -3))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (sqrt.f64 x))
(.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (.f64 -3 y))))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))
(/.f64 (.f64 (-.f64 9 (/.f64 1/9 (.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (*.f64 (/.f64 1 x) -1/3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (.f64 (-.f64 (.f64 y y) (/.f64 1/81 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 -1/9 x) y))) 1))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) -27))
(sqrt.f64 (*.f64 x (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 2)))
(.f64 (sqrt.f64 x) (-.f64 -3 (pow.f64 (.f64 x -3) -1)))

Outputs
(.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (.f64 -3 y))))

Calls

3 calls:

22.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
20.0ms	x
19.0ms	y

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))`

Compiler

Compiled 380 to 259 computations (31.8% saved)

regimes40.0ms (0.4%)

Counts

28 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 y (.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 (sqrt.f64 x) y))
(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 1 (.f64 x -3))))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (/.f64 1/9 x) 3) -3))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (sqrt.f64 x))
(.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (.f64 3 (sqrt.f64 x)))
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))

Outputs
(.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (sqrt.f64 x))

Calls

2 calls:

16.0ms	y
15.0ms	x

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`

Compiler

Compiled 240 to 159 computations (33.8% saved)

regimes36.0ms (0.4%)

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 y (.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 (sqrt.f64 x) y))
(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 1 (.f64 x -3))))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (/.f64 1/9 x) 3) -3))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))

Outputs
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))

Calls

2 calls:

16.0ms	x
14.0ms	y

Results

Error	Segments	Branch
0.9b	1	`x`
0.9b	1	`y`

Compiler

Compiled 192 to 126 computations (34.4% saved)

regimes140.0ms (1.4%)

Counts

23 → 3

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 y (.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 (sqrt.f64 x) y))
(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 1 (.f64 x -3))))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (/.f64 1/9 x) 3) -3))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/3 (/.f64 1 x)) 3))
(.f64 3 (.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))

Outputs
(.f64 3 (.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3)))
(.f64 (sqrt.f64 (.f64 9 x)) y)

Calls

2 calls:

87.0ms	x
44.0ms	y

Results

Error	Segments	Branch
9.4b	4	`x`
7.0b	3	`y`

Compiler

Compiled 180 to 117 computations (35% saved)

bsearch89.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	206083093.2296176	34753476743520228.0
48.0ms	-3.149376573246545e+55	-5.327275841705305e+54

Compiler

Compiled 21 to 17 computations (19% saved)

regimes75.0ms (0.7%)

Counts

17 → 3

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 y (.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 (sqrt.f64 x) y))
(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 1 (.f64 x -3))))

Outputs
(.f64 3 (.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 1 (.f64 x -3))))
(.f64 (sqrt.f64 (.f64 9 x)) y)

Calls

2 calls:

42.0ms	x
28.0ms	y

Results

Error	Segments	Branch
9.4b	4	`x`
7.0b	3	`y`

Compiler

Compiled 118 to 72 computations (39% saved)

bsearch54.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	206083093.2296176	34753476743520228.0
26.0ms	-3.149376573246545e+55	-5.327275841705305e+54

Compiler

Compiled 21 to 17 computations (19% saved)

regimes67.0ms (0.7%)

Counts

16 → 3

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 y (.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 (sqrt.f64 x) y))
(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))

Outputs
(.f64 3 (.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(.f64 (sqrt.f64 (.f64 9 x)) y)

Calls

2 calls:

34.0ms	x
28.0ms	y

Results

Error	Segments	Branch
9.4b	4	`x`
7.0b	3	`y`

Compiler

Compiled 108 to 65 computations (39.8% saved)

bsearch50.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	206083093.2296176	34753476743520228.0
25.0ms	-3.149376573246545e+55	-5.327275841705305e+54

Compiler

Compiled 21 to 17 computations (19% saved)

regimes109.0ms (1.1%)

Counts

14 → 4

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 y (.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 (sqrt.f64 x) y))
(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 y 1))

Outputs
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 y (.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3)))

Calls

2 calls:

56.0ms	x
48.0ms	y

Results

Error	Segments	Branch
9.4b	4	`x`
18.4b	5	`y`

Compiler

Compiled 92 to 55 computations (40.2% saved)

bsearch123.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
41.0ms	4.425302712017836e-31	1.003915748774664e-30
40.0ms	9.161897283899674e-63	2.4751698812950767e-62
41.0ms	3.4616890672738776e-99	2.086326424222295e-96

Compiler

Compiled 21 to 17 computations (19% saved)

regimes158.0ms (1.6%)

Counts

12 → 5

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 y (.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 3 (.f64 (sqrt.f64 x) y))
(sqrt.f64 (.f64 9 (.f64 x (*.f64 y y))))

Outputs
(.f64 3 (.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)

Calls

2 calls:

76.0ms	x
76.0ms	y

Results

Error	Segments	Branch
20.1b	5	`x`
18.4b	5	`y`

Compiler

Compiled 76 to 44 computations (42.1% saved)

bsearch152.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
29.0ms	206083093.2296176	34753476743520228.0
41.0ms	-5.858470568139115e-291	-5.567435491188203e-291
41.0ms	-2.810840553847747e-67	-1.6890617765926838e-81
40.0ms	-3.149376573246545e+55	-5.327275841705305e+54

Compiler

Compiled 21 to 17 computations (19% saved)

regimes70.0ms (0.7%)

Counts

10 → 5

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)
(.f64 (sqrt.f64 x) (.f64 3 y))
(.f64 y (.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 y (.f64 3 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 3 y))

Outputs
(.f64 (sqrt.f64 x) (.f64 3 y))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)

Calls

2 calls:

35.0ms	y
33.0ms	x

Results

Error	Segments	Branch
20.1b	5	`x`
18.4b	5	`y`

Compiler

Compiled 62 to 36 computations (41.9% saved)

bsearch99.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	206083093.2296176	34753476743520228.0
26.0ms	-5.858470568139115e-291	-5.567435491188203e-291
24.0ms	-2.810840553847747e-67	-1.6890617765926838e-81
24.0ms	-3.149376573246545e+55	-5.327275841705305e+54

Compiler

Compiled 21 to 17 computations (19% saved)

regimes50.0ms (0.5%)

Counts

5 → 5

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)

Outputs
(.f64 (sqrt.f64 (.f64 9 x)) y)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(.f64 (sqrt.f64 (.f64 9 x)) y)

Calls

2 calls:

24.0ms	y
24.0ms	x

Results

Error	Segments	Branch
20.1b	5	`x`
18.6b	5	`y`

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch97.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	206083093.2296176	34753476743520228.0
24.0ms	-5.858470568139115e-291	-5.567435491188203e-291
25.0ms	-2.810840553847747e-67	-1.6890617765926838e-81
24.0ms	-3.149376573246545e+55	-5.327275841705305e+54

Compiler

Compiled 21 to 17 computations (19% saved)

regimes23.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))

Outputs
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(*.f64 (sqrt.f64 x) -3)

Calls

2 calls:

14.0ms	y
7.0ms	x

Results

Error	Segments	Branch
24.7b	2	`x`
35.5b	3	`y`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	2.749397497676217e-9	1.0592508877270706e-6

Compiler

Compiled 21 to 17 computations (19% saved)

regimes9.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)

Outputs
(*.f64 (sqrt.f64 x) -3)

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Error	Segments	Branch
48.0b	1	`x`
48.0b	1	`y`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))

Outputs
(*.f64 (sqrt.f64 x) 3)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
62.0b	1	`x`
62.0b	1	`y`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify31.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
25×	`+-commutative_binary64`
22×	`sub-neg_binary64`
15×	`neg-sub0_binary64`
15×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	509
1	142	509
2	183	509
3	215	509
4	239	509
5	246	509
6	250	509
7	251	509

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
(.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (.f64 -3 y))))
(.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3))) (.f64 (sqrt.f64 (*.f64 9 x)) y)))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 1 (.f64 x -3)))) (.f64 (sqrt.f64 (.f64 9 x)) y)))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))) (.f64 (sqrt.f64 (*.f64 9 x)) y)))
(if (<=.f64 x 2131210844979943/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 8487001823043487/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 y (.f64 (sqrt.f64 x) 3)) (if (<=.f64 x 5052802468202307/11417981541647679048466287755595961091061972992) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3))))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y -4266041019505123/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 y -8227915875887983/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (.f64 (sqrt.f64 x) -3) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 (*.f64 9 x)) y)))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 (sqrt.f64 x) (.f64 3 y)) (if (<=.f64 y -4266041019505123/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 y -8227915875887983/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (.f64 (sqrt.f64 x) -3) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 (*.f64 9 x)) y)))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 (sqrt.f64 (.f64 9 x)) y) (if (<=.f64 y -4266041019505123/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 y -8227915875887983/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (.f64 (sqrt.f64 x) -3) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 (*.f64 9 x)) y)))))
(if (<=.f64 x 3323817623324631/1208925819614629174706176) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 x) -3))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) 3)

Outputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
(.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (.f64 -3 y))))
(.f64 (sqrt.f64 x) (+.f64 -3 (+.f64 (/.f64 1/3 x) (.f64 y 3))))
(.f64 (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3))
(.f64 (sqrt.f64 (.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(.f64 (sqrt.f64 (.f64 x 9)) (+.f64 (-.f64 y (/.f64 -1/9 x)) -1))
(.f64 (sqrt.f64 (.f64 x 9)) (+.f64 -1 (-.f64 y (/.f64 -1/9 x))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3))) (.f64 (sqrt.f64 (*.f64 9 x)) y)))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (/.f64 1 x) -3))) (.f64 y (sqrt.f64 (*.f64 x 9)))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 (/.f64 -1 x) -3))) (.f64 y (sqrt.f64 (*.f64 x 9)))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 1 (.f64 x -3)))) (.f64 (sqrt.f64 (.f64 9 x)) y)))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 1 (.f64 x -3)))) (.f64 y (sqrt.f64 (.f64 x 9)))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 -1 (.f64 x -3)))) (.f64 y (sqrt.f64 (.f64 x 9)))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))) (.f64 (sqrt.f64 (*.f64 9 x)) y)))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))) (.f64 y (sqrt.f64 (*.f64 x 9)))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x))) (.f64 y (sqrt.f64 (*.f64 x 9)))))
(if (<=.f64 x 2131210844979943/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 8487001823043487/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 y (.f64 (sqrt.f64 x) 3)) (if (<=.f64 x 5052802468202307/11417981541647679048466287755595961091061972992) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 x) (-.f64 -3 (.f64 y -3))))))
(if (<=.f64 x 2131210844979943/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 8487001823043487/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 y (.f64 (sqrt.f64 x) 3)) (if (<=.f64 x 5052802468202307/11417981541647679048466287755595961091061972992) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 x) (-.f64 -3 (.f64 -3 y))))))
(if (<=.f64 x 2131210844979943/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 8487001823043487/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 y (.f64 (sqrt.f64 x) 3)) (if (<=.f64 x 5052802468202307/11417981541647679048466287755595961091061972992) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 x) (+.f64 -3 (.f64 y 3))))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y -4266041019505123/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 y -8227915875887983/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (.f64 (sqrt.f64 x) -3) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 (*.f64 9 x)) y)))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 3 (.f64 (sqrt.f64 x) y)) (if (<=.f64 y -4266041019505123/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 y -8227915875887983/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (.f64 (sqrt.f64 x) -3) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 y (sqrt.f64 (*.f64 x 9)))))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 (sqrt.f64 x) (.f64 3 y)) (if (<=.f64 y -4266041019505123/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 y -8227915875887983/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (.f64 (sqrt.f64 x) -3) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 (*.f64 9 x)) y)))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 (sqrt.f64 x) (.f64 y 3)) (if (<=.f64 y -4266041019505123/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 y -8227915875887983/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (.f64 (sqrt.f64 x) -3) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 y (sqrt.f64 (*.f64 x 9)))))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 (sqrt.f64 (.f64 9 x)) y) (if (<=.f64 y -4266041019505123/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 y -8227915875887983/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (.f64 (sqrt.f64 x) -3) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 (*.f64 9 x)) y)))))
(if (<=.f64 y -31493765732465448821000114177993731905714179429002903552) (.f64 y (sqrt.f64 (.f64 x 9))) (if (<=.f64 y -4266041019505123/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 y -8227915875887983/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (.f64 (sqrt.f64 x) -3) (if (<=.f64 y 432187571132679/2097152) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 y (sqrt.f64 (*.f64 x 9)))))))
(if (<=.f64 x 3323817623324631/1208925819614629174706176) (.f64 (sqrt.f64 x) (/.f64 1/3 x)) (.f64 (sqrt.f64 x) -3))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) 3)

Compiler

Compiled 370 to 260 computations (29.7% saved)

soundness542.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1205×	`fma-neg_binary64`
892×	`fma-def_binary64`
328×	`associate-/l*_binary64`
320×	`cancel-sign-sub-inv_binary64`
290×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	28	18
2	69	18
3	192	16
4	399	16
5	585	16
6	1178	16
7	2560	16
8	4317	16
9	4998	16
10	5557	16
11	6074	16
12	6102	16
13	6102	16
14	7052	16
15	7137	16
16	7137	16
17	7137	16
18	7137	16

Stop Event

1×

saturated

Compiler

Compiled 654 to 549 computations (16.1% saved)

end361.0ms (3.6%)

Compiler: Compiled 342 to 216 computations (36.8% saved)