Details

analyze293.0ms (10.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
36.4%	34.3%	60.1%	0.1%	5.5%	0%	0%	10
44.5%	41.3%	51.5%	0.1%	7%	0%	0%	11
51.5%	46.8%	44.1%	0.1%	9%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.0s (35.3%)

Results

866.0ms	8256×	body	256	valid
123.0ms	1201×	body	256	infinite

Bogosity

preprocess88.0ms (3.1%)

Algorithm

2×	egg-herbie

Rules

768×	`fma-neg_binary64`
441×	`fma-def_binary64`
175×	`cancel-sign-sub-inv_binary64`
127×	`distribute-rgt-in_binary64`
113×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	43	44
2	87	44
3	151	44
4	337	36
5	680	32
6	1140	32
7	1863	32
8	2484	32
9	2782	32
10	2857	32
11	2858	32
12	2858	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(+.f64 (.f64 y x) (.f64 (-.f64 1 y) z))
(+.f64 (.f64 z y) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 x z) (.f64 (-.f64 1 x) y))

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(fma.f64 x y (*.f64 (-.f64 1 x) z))
(fma.f64 x (fma.f64 z -1 y) z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (.f64 y x) (.f64 (-.f64 1 y) z))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 x y (*.f64 z (-.f64 1 y)))
(-.f64 (fma.f64 x y z) (*.f64 y z))
(fma.f64 y (fma.f64 z -1 x) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (.f64 z y) (.f64 (-.f64 1 z) x))
(fma.f64 z y (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) (*.f64 y z))
(fma.f64 z (fma.f64 x -1 y) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (.f64 x z) (.f64 (-.f64 1 x) y))
(fma.f64 x z (*.f64 y (-.f64 1 x)))
(fma.f64 x z (-.f64 y (*.f64 x y)))
(fma.f64 x (fma.f64 y -1 z) y)
(fma.f64 x (-.f64 z y) y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify31.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

346×	`fma-def_binary64`
246×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
41×	`associate--r+_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	346	8
7	557	8
8	960	8
9	1145	8
10	1205	8
11	1215	8

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(fma.f64 x y (*.f64 (-.f64 1 x) z))
(-.f64 (fma.f64 x y z) (*.f64 x z))
(fma.f64 x (fma.f64 z -1 y) z)
(fma.f64 x (-.f64 y z) z)

eval1.0ms (0%)

Compiler: Compiled 41 to 20 computations (51.2% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 x (-.f64 y z) z)
▶	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1510	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

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

Outputs

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

simplify38.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

540×	`log-prod_binary64`
464×	`fma-def_binary64`
372×	`distribute-rgt-neg-out_binary64`
366×	`distribute-lft-neg-out_binary64`
255×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	357
1	132	323
2	394	323
3	1975	323
4	4817	323

Stop Event

1×	node limit

Counts

41 → 36

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series4.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite41.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
686×	`add-log-exp_binary64`
686×	`log1p-expm1-u_binary64`
686×	`expm1-log1p-u_binary64`
670×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1797	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 x (-.f64 y z) z)

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

Outputs

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

simplify37.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

435×	`times-frac_binary64`
377×	`associate-l_binary64`
315×	`associate-r_binary64`
297×	`associate-+l+_binary64`
268×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	474
1	180	471
2	652	465
3	3804	465

Stop Event

1×	node limit

Counts

57 → 39

Calls

Call 1

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

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

eval13.0ms (0.4%)

Compiler: Compiled 908 to 355 computations (60.9% saved)

prune14.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	68	7	75
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	70	7	77

Error

Counts

77 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.3b	(-.f64 z (*.f64 z x))
▶	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
	28.0b	(+.f64 (.f64 x y) (.f64 z (neg.f64 x)))
▶	9.7b	(+.f64 (*.f64 x y) z)
▶	28.0b	(*.f64 (-.f64 y z) x)
▶	37.4b	(*.f64 y x)
	34.5b	z

Compiler

Compiled 106 to 67 computations (36.8% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite41.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify44.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

646×	`log-prod_binary64`
629×	`fma-def_binary64`
370×	`associate-l_binary64`
329×	`associate-r_binary64`
247×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	327
1	159	327
2	511	327
3	3082	327
4	6421	327

Stop Event

1×	node limit

Counts

43 → 30

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize5.0ms (0.2%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1650	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify46.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

856×	`fma-neg_binary64`
533×	`fma-def_binary64`
320×	`times-frac_binary64`
217×	`associate-/l*_binary64`
187×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	108	566
1	295	536
2	1141	536
3	5661	536

Stop Event

1×	node limit

Counts

62 → 48

Calls

Call 1

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

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

eval18.0ms (0.6%)

Compiler: Compiled 1216 to 407 computations (66.5% saved)

prune15.0ms (0.5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	1	2
Picked	0	1	1
Done	0	4	4
Total	107	8	115

Error

Counts

115 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.3b	(-.f64 z (*.f64 z x))
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
▶	28.0b	(+.f64 (.f64 y x) (.f64 (neg.f64 z) x))
✓	9.7b	(+.f64 (*.f64 x y) z)
✓	28.0b	(*.f64 (-.f64 y z) x)
▶	52.8b	(*.f64 z (neg.f64 x))
✓	37.4b	(*.f64 y x)
	34.5b	z

Compiler

Compiled 62 to 40 computations (35.5% saved)

localize5.0ms (0.2%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (.f64 (neg.f64 z) x))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
773×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	176	7
2	2563	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(+.f64 (.f64 y x) (.f64 (neg.f64 z) x))

Outputs

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

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

776×	`fma-neg_binary64`
315×	`fma-def_binary64`
250×	`log-prod_binary64`
223×	`div-sub_binary64`
193×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	1111
1	330	893
2	1285	789
3	5195	789

Stop Event

1×	node limit

Counts

80 → 70

Calls

Call 1

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

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

eval14.0ms (0.5%)

Compiler: Compiled 965 to 329 computations (65.9% saved)

prune11.0ms (0.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	1	1
Picked	1	0	1
Done	0	6	6
Total	70	8	78

Error

Counts

78 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.0b	(-.f64 (.f64 y x) (.f64 x z))
✓	25.3b	(-.f64 z (*.f64 z x))
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	9.7b	(+.f64 (*.f64 x y) z)
✓	28.0b	(*.f64 (-.f64 y z) x)
✓	52.8b	(*.f64 z (neg.f64 x))
✓	37.4b	(*.f64 y x)
	34.5b	z

Compiler

Compiled 61 to 39 computations (36.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite47.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
812×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	7
2	2222	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify40.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

443×	`associate-*l/_binary64`
386×	`cancel-sign-sub-inv_binary64`
328×	`fma-neg_binary64`
317×	`distribute-rgt-in_binary64`
272×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1110
1	413	850
2	1947	791

Stop Event

1×	node limit

Counts

85 → 68

Calls

Call 1

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

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

eval11.0ms (0.4%)

Compiler: Compiled 1093 to 290 computations (73.5% saved)

prune12.0ms (0.4%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	68	8	76

Error

Counts

76 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.0b	(-.f64 (.f64 y x) (.f64 x z))
✓	25.3b	(-.f64 z (*.f64 z x))
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	9.7b	(+.f64 (*.f64 x y) z)
✓	28.0b	(*.f64 (-.f64 y z) x)
✓	52.8b	(*.f64 z (neg.f64 x))
✓	37.4b	(*.f64 y x)
	34.5b	z

Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes30.0ms (1%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(+.f64 (*.f64 (-.f64 y z) x) z)

Calls

4 calls:

7.0ms	x
7.0ms	z
7.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
6.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))`

Compiler

Compiled 95 to 41 computations (56.8% saved)

regimes38.0ms (1.3%)

Counts

6 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)
(*.f64 z (neg.f64 x))
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 x y) z)
(-.f64 z (*.f64 z x))

Outputs
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 x y) z)
(*.f64 (-.f64 y z) x)

Calls

3 calls:

16.0ms	y
12.0ms	x
8.0ms	z

Results

Error	Segments	Branch
0.4b	3	`x`
5.6b	3	`y`
6.4b	2	`z`

Compiler

Compiled 38 to 21 computations (44.7% saved)

bsearch28.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	2.33563359399123e-9	0.04494996696838322
12.0ms	-1730678695543335700.0	-76006748433082720.0

Results

25.0ms

256×

body

256

valid

Compiler

Compiled 306 to 205 computations (33% saved)

regimes52.0ms (1.8%)

Counts

4 → 3

Calls

Call 1

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

Outputs
(*.f64 (-.f64 y z) x)
z
(*.f64 (-.f64 y z) x)

Calls

3 calls:

21.0ms	z
19.0ms	y
10.0ms	x

Results

Error	Segments	Branch
13.3b	3	`x`
20.2b	5	`y`
17.1b	5	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch61.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	2.33563359399123e-9	0.04494996696838322
18.0ms	-1.7037655735436387e-40	-8.117279508849336e-52

Results

58.0ms

304×

body

256

valid

Compiler

Compiled 284 to 203 computations (28.5% saved)

regimes165.0ms (5.8%)

Counts

3 → 6

Calls

Call 1

Inputs
z
(*.f64 y x)
(*.f64 z (neg.f64 x))

Outputs
(*.f64 z (neg.f64 x))
(*.f64 y x)
(*.f64 z (neg.f64 x))
(*.f64 y x)
z
(*.f64 y x)

Calls

3 calls:

56.0ms	x
54.0ms	z
54.0ms	y

Results

Error	Segments	Branch
20.1b	6	`x`
22.5b	5	`y`
21.7b	3	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch108.0ms (3.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
28.0ms	2.33563359399123e-9	0.04494996696838322
15.0ms	-8.229324577432579e-27	-5.066578510758069e-29
12.0ms	-1730678695543335700.0	-76006748433082720.0
16.0ms	-2.0188051029405296e+40	-5.720922689135139e+31
37.0ms	-1.846347542137546e+112	-5.885928578067778e+110

Results

96.0ms	624×	body	256	valid
5.0ms	53×	body	256	infinite

Compiler

Compiled 555 to 410 computations (26.1% saved)

regimes33.0ms (1.2%)

Accuracy

Total -40.0b remaining (-184.3%)

Threshold costs -40.0b (-184.3%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

17.0ms	y
8.0ms	z
8.0ms	x

Results

Error	Segments	Branch
22.6b	3	`x`
22.5b	5	`y`
21.7b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch27.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	2.433869101259619e-111	8.03806222937424e-100
11.0ms	-2.828780428958845e-68	-4.0100180090409825e-69

Results

24.0ms

256×

body

256

valid

Compiler

Compiled 210 to 157 computations (25.2% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	144
1	59	144
2	69	144
3	75	144
4	77	144

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (-.f64 y z) x) z)
(if (<=.f64 x -78000000000000000) (.f64 (-.f64 y z) x) (if (<=.f64 x 3170534137668829/72057594037927936) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -1357541259789995/205688069665150755269371147819668813122841983204197482918576128) (.f64 (-.f64 y z) x) (if (<=.f64 x 3022314549036573/1208925819614629174706176) z (.f64 (-.f64 y z) x)))
(if (<=.f64 x -1600000000000000037710988022672409333199252472091010981007860062829250669545858772157294978547919216419702571008) (.f64 z (neg.f64 x)) (if (<=.f64 x -22999999999999998171769560398561280) (.f64 y x) (if (<=.f64 x -300000000000000000) (.f64 z (neg.f64 x)) (if (<=.f64 x -4906163943676737/89202980794122492566142873090593446023921664) (.f64 y x) (if (<=.f64 x 4110347786689739/604462909807314587353088) z (*.f64 y x))))))
(if (<=.f64 z -2962570060644237/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) z (if (<=.f64 z 2019352817565217/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (*.f64 y x) z))
z

Outputs
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 z (*.f64 (-.f64 y z) x))
(if (<=.f64 x -78000000000000000) (.f64 (-.f64 y z) x) (if (<=.f64 x 3170534137668829/72057594037927936) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -78000000000000000) (.f64 (-.f64 y z) x) (if (<=.f64 x 3170534137668829/72057594037927936) (+.f64 z (.f64 y x)) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -1357541259789995/205688069665150755269371147819668813122841983204197482918576128) (.f64 (-.f64 y z) x) (if (<=.f64 x 3022314549036573/1208925819614629174706176) z (.f64 (-.f64 y z) x)))
(if (<=.f64 x -1600000000000000037710988022672409333199252472091010981007860062829250669545858772157294978547919216419702571008) (.f64 z (neg.f64 x)) (if (<=.f64 x -22999999999999998171769560398561280) (.f64 y x) (if (<=.f64 x -300000000000000000) (.f64 z (neg.f64 x)) (if (<=.f64 x -4906163943676737/89202980794122492566142873090593446023921664) (.f64 y x) (if (<=.f64 x 4110347786689739/604462909807314587353088) z (*.f64 y x))))))
(if (<=.f64 z -2962570060644237/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) z (if (<=.f64 z 2019352817565217/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (*.f64 y x) z))
z

Compiler

Compiled 119 to 64 computations (46.2% saved)

soundness94.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

346×	`fma-def_binary64`
246×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
41×	`associate--r+_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	346	8
7	557	8
8	960	8
9	1145	8
10	1205	8
11	1215	8

Stop Event

1×

saturated

Compiler

Compiled 210 to 134 computations (36.2% saved)

end87.0ms (3.1%)

Compiler: Compiled 104 to 43 computations (58.7% saved)

Details

analyze293.0ms (10.3%)

sample1.0s (35.3%)

preprocess88.0ms (3.1%)

simplify31.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite43.0ms (1.5%)

simplify38.0ms (1.3%)

localize6.0ms (0.2%)

series4.0ms (0.2%)

rewrite41.0ms (1.4%)

simplify37.0ms (1.3%)

eval13.0ms (0.4%)

prune14.0ms (0.5%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite41.0ms (1.5%)

simplify44.0ms (1.6%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

localize5.0ms (0.2%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite41.0ms (1.4%)

simplify46.0ms (1.6%)

eval18.0ms (0.6%)

prune15.0ms (0.5%)

localize5.0ms (0.2%)

localize8.0ms (0.3%)

series5.0ms (0.2%)

rewrite42.0ms (1.5%)

simplify48.0ms (1.7%)

eval14.0ms (0.5%)

prune11.0ms (0.4%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite47.0ms (1.7%)

simplify40.0ms (1.4%)

eval11.0ms (0.4%)

prune12.0ms (0.4%)

regimes30.0ms (1%)

regimes38.0ms (1.3%)

bsearch28.0ms (1%)

regimes52.0ms (1.8%)

bsearch61.0ms (2.2%)

regimes165.0ms (5.8%)

bsearch108.0ms (3.8%)

regimes33.0ms (1.2%)

bsearch27.0ms (0.9%)

simplify7.0ms (0.2%)

soundness94.0ms (3.3%)

end87.0ms (3.1%)

Profiling