Details

analyze187.0ms (7%)

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)

sample1.3s (49.5%)

Results

1.2s	8256×	body	256	valid
124.0ms	1240×	body	256	infinite

Bogosity

preprocess83.0ms (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)

simplify28.0ms (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)

prune2.0ms (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 (0.4%)

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	@	0	(*.f64 (-.f64 1 x) z)

rewrite38.0ms (1.4%)

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)))))))

simplify37.0ms (1.4%)

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	z	@	-inf	(fma.f64 x (-.f64 y z) z)
0.0ms	x	@	0	(fma.f64 x (-.f64 y z) z)
0.0ms	y	@	inf	(fma.f64 x (-.f64 y z) z)

rewrite40.0ms (1.5%)

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)))))))

simplify38.0ms (1.4%)

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)

eval14.0ms (0.5%)

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

prune14.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	70	7	77

Error

Counts

77 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.3b	(-.f64 z (*.f64 z x))
▶	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
▶	12.1b	(+.f64 (*.f64 x y) z)
▶	26.6b	(*.f64 (-.f64 y z) x)
▶	38.0b	(*.f64 y x)
	36.5b	z

Compiler

Compiled 96 to 61 computations (36.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0.1%)

Counts

1 → 27

Calls

9 calls:

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

rewrite47.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
883×	`add-log-exp_binary64`
883×	`log1p-expm1-u_binary64`
883×	`expm1-log1p-u_binary64`
864×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	159	8
2	2348	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify44.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

758×	`div-sub_binary64`
503×	`associate-l_binary64`
452×	`associate-r_binary64`
243×	`log-prod_binary64`
232×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	953
1	262	757
2	816	735
3	5377	735

Stop Event

1×	node limit

Counts

62 → 55

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% 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 (*.f64 x y) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite39.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	129	5
2	1775	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify40.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-neg_binary64`
485×	`associate-l_binary64`
446×	`div-sub_binary64`
428×	`associate-r_binary64`
238×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	494
1	218	469
2	730	469
3	4823	469

Stop Event

1×	node limit

Counts

71 → 41

Calls

Call 1

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

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

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))
0.0ms	z	@	inf	(-.f64 z (*.f64 z x))
0.0ms	z	@	0	(-.f64 z (*.f64 z x))
0.0ms	x	@	-inf	(-.f64 z (*.f64 z x))
0.0ms	x	@	0	(-.f64 z (*.f64 z x))

rewrite40.0ms (1.5%)

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)))))))

simplify45.0ms (1.7%)

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)

eval25.0ms (0.9%)

Compiler: Compiled 1813 to 592 computations (67.3% saved)

prune23.0ms (0.9%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	143	8	151

Error

Counts

151 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.3b	(-.f64 z (*.f64 z x))
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	12.1b	(+.f64 (*.f64 x y) z)
✓	26.6b	(*.f64 (-.f64 y z) x)
▶	50.6b	(*.f64 z (neg.f64 x))
✓	38.0b	(*.f64 y x)
	36.5b	z

Compiler

Compiled 63 to 41 computations (34.9% saved)

localize4.0ms (0.2%)

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

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	6	6
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.3b	(-.f64 z (*.f64 z x))
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	12.1b	(+.f64 (*.f64 x y) z)
✓	26.6b	(*.f64 (-.f64 y z) x)
✓	50.6b	(*.f64 z (neg.f64 x))
✓	38.0b	(*.f64 y x)
	36.5b	z

Compiler

Compiled 63 to 41 computations (34.9% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.3b	(-.f64 z (*.f64 z x))
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	12.1b	(+.f64 (*.f64 x y) z)
✓	26.6b	(*.f64 (-.f64 y z) x)
✓	50.6b	(*.f64 z (neg.f64 x))
✓	38.0b	(*.f64 y x)
	36.5b	z

Compiler

Compiled 63 to 41 computations (34.9% saved)

regimes26.0ms (1%)

Counts

9 → 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 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	y
6.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
5.0ms	x
5.0ms	z

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 72 to 35 computations (51.4% saved)

regimes50.0ms (1.9%)

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:

18.0ms	y
17.0ms	z
13.0ms	x

Results

Error	Segments	Branch
1.0b	3	`x`
5.3b	3	`y`
7.8b	3	`z`

Compiler

Compiled 38 to 21 computations (44.7% saved)

bsearch31.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.8438948492916408e-29	0.010069087510293355
13.0ms	-160.54422659249764	-0.2192711236065837

Results

28.0ms

304×

body

256

valid

Compiler

Compiled 360 to 241 computations (33.1% saved)

regimes46.0ms (1.7%)

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:

18.0ms	y
17.0ms	z
10.0ms	x

Results

Error	Segments	Branch
11.0b	3	`x`
20.7b	5	`y`
14.1b	5	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch32.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.8438948492916408e-29	0.010069087510293355
13.0ms	-1.219070852644379e-50	-7.894896678227737e-55

Results

28.0ms

304×

body

256

valid

Compiler

Compiled 284 to 203 computations (28.5% saved)

regimes136.0ms (5.1%)

Accuracy

Total -41.8b remaining (-202.3%)

Threshold costs -41.8b (-202.3%)

Counts

3 → 3

Calls

Call 1

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

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

114.0ms	y
11.0ms	z
10.0ms	x

Results

Error	Segments	Branch
21.8b	3	`x`
23.2b	8	`y`
20.6b	3	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch45.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	8.301474770705548e-35	3.35669219018392e-32
32.0ms	-2.1908940716008137e-16	-2.9855094018909913e-26

Results

42.0ms

288×

body

256

valid

Compiler

Compiled 234 to 175 computations (25.2% saved)

simplify27.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	89
1	35	89
2	39	89
3	41	89
4	42	89

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (-.f64 y z) x) z)
(if (<=.f64 x -1) (.f64 (-.f64 y z) x) (if (<=.f64 x 5764607523034235/576460752303423488) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -8282095616148677/3450873173395281893717377931138512726225554486085193277581262111899648) (.f64 (-.f64 y z) x) (if (<=.f64 x 735237348132373/2535301200456458802993406410752) z (.f64 (-.f64 y z) x)))
(if (<=.f64 z -3615500148534971/21267647932558653966460912964485513216) z (if (<=.f64 z 447584876432589/22835963083295358096932575511191922182123945984) (*.f64 y x) z))
z

Outputs
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 z (*.f64 (-.f64 y z) x))
(if (<=.f64 x -1) (.f64 (-.f64 y z) x) (if (<=.f64 x 5764607523034235/576460752303423488) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -1) (.f64 (-.f64 y z) x) (if (<=.f64 x 5764607523034235/576460752303423488) (+.f64 z (.f64 y x)) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -8282095616148677/3450873173395281893717377931138512726225554486085193277581262111899648) (.f64 (-.f64 y z) x) (if (<=.f64 x 735237348132373/2535301200456458802993406410752) z (.f64 (-.f64 y z) x)))
(if (<=.f64 z -3615500148534971/21267647932558653966460912964485513216) z (if (<=.f64 z 447584876432589/22835963083295358096932575511191922182123945984) (*.f64 y x) z))
z

Compiler

Compiled 78 to 43 computations (44.9% saved)

soundness62.0ms (2.3%)

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)

end42.0ms (1.6%)

Compiler: Compiled 66 to 26 computations (60.6% saved)

Details

analyze187.0ms (7%)

sample1.3s (49.5%)

preprocess83.0ms (3.1%)

simplify28.0ms (1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize10.0ms (0.4%)

series3.0ms (0.1%)

rewrite38.0ms (1.4%)

simplify37.0ms (1.4%)

localize6.0ms (0.2%)

series4.0ms (0.2%)

rewrite40.0ms (1.5%)

simplify38.0ms (1.4%)

eval14.0ms (0.5%)

prune14.0ms (0.5%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite47.0ms (1.8%)

simplify44.0ms (1.6%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite39.0ms (1.4%)

simplify40.0ms (1.5%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite40.0ms (1.5%)

simplify45.0ms (1.7%)

eval25.0ms (0.9%)

prune23.0ms (0.9%)

localize4.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes26.0ms (1%)

regimes50.0ms (1.9%)

bsearch31.0ms (1.2%)

regimes46.0ms (1.7%)

bsearch32.0ms (1.2%)

regimes136.0ms (5.1%)

bsearch45.0ms (1.7%)

simplify27.0ms (1%)

soundness62.0ms (2.3%)

end42.0ms (1.6%)

Profiling