Details

analyze185.0ms (2.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
25%	71.8%	3.3%	9
34.3%	57.7%	7.9%	10
41.3%	50.3%	8.3%	11
46.8%	42.3%	10.9%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample947.0ms (14%)

Results

811.0ms	8256×	body	256	valid
111.0ms	1103×	body	256	invalid

preprocess154.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

2243×	`fma-neg_binary64`
413×	`unsub-neg_binary64`
262×	`associate--r+_binary64`
234×	`distribute-rgt-in_binary64`
215×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	55	52
2	144	44
3	494	44
4	1584	44
5	2961	44
6	3611	44
7	3718	44
8	3756	44
9	3772	44
10	3960	44
11	4041	44
12	4087	44
13	4154	44
14	4204	44
15	4204	44
16	6258	44
17	6258	44
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 12 computations (20% saved)

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-def_binary64`
419×	`fma-neg_binary64`
208×	`distribute-rgt-in_binary64`
163×	`distribute-lft-in_binary64`
138×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	20	13
2	49	11
3	153	11
4	470	11
5	1119	11
6	1863	11
7	2564	11
8	2672	11
9	2672	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 12 computations (40% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
▶	5.3b	(fma.f64 z (-.f64 (*.f64 x y) x) x)

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.0b	(fma.f64 z (-.f64 (*.f64 x y) x) x)
	0.0b	(-.f64 (*.f64 x y) x)
✓	0.0b	(-.f64 (*.f64 x y) x)
✓	5.0b	(fma.f64 z (-.f64 (*.f64 x y) x) x)

series10.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`pow1_binary64`
778×	`add-log-exp_binary64`
778×	`log1p-expm1-u_binary64`
778×	`expm1-log1p-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	151	18
2	2068	18

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

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

Outputs

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

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

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

501×	`fma-def_binary64`
409×	`fma-neg_binary64`
165×	`distribute-rgt-in_binary64`
147×	`unsub-neg_binary64`
141×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	531
1	78	530
2	188	530
3	425	530
4	934	530
5	1962	530
6	2328	530
7	2439	530
8	2439	530

Stop Event

1×

saturated

Counts

119 → 79

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.5b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
	0.0b	(*.f64 (-.f64 1 y) z)
✓	0.0b	(*.f64 (-.f64 1 y) z)
✓	2.5b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`prod-diff_binary64`
479×	`log-prod_binary64`
360×	`exp-prod_binary64`
300×	`pow-prod-down_binary64`
259×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	193	20
2	2558	20

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

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

Outputs

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

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

788×	`fma-def_binary64`
408×	`fma-neg_binary64`
141×	`distribute-rgt-in_binary64`
124×	`unsub-neg_binary64`
105×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	613
1	68	592
2	170	532
3	408	532
4	901	532
5	1554	532
6	2389	532
7	2552	532
8	2554	532
9	2554	532

Stop Event

1×

saturated

Counts

144 → 103

Calls

Call 1

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

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

eval44.0ms (0.6%)

Compiler: Compiled 2373 to 1200 computations (49.4% saved)

prune46.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	171	11	182
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	172	12	184

Error

0.0b

Counts

184 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
▶	46.9b	(.f64 z (.f64 y x))
▶	5.3b	(+.f64 (.f64 z (-.f64 (.f64 x y) x)) x)
	36.5b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 2)
	19.1b	(*.f64 (-.f64 1 z) x)
	33.4b	x
▶	17.9b	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
▶	45.9b	(.f64 y (.f64 z x))
	32.6b	(.f64 (-.f64 (.f64 y x) x) z)
	47.1b	(.f64 x (.f64 y z))
	21.3b	(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 (-.f64 1 y) z) 3))) (fma.f64 (*.f64 (-.f64 1 y) z) (fma.f64 (-.f64 1 y) z 1) 1))
▶	19.1b	(-.f64 x (*.f64 x z))

Compiler

Compiled 248 to 172 computations (30.6% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	5.0b	(.f64 z (-.f64 (.f64 x y) x))
	0.0b	(+.f64 (.f64 z (-.f64 (.f64 x y) x)) x)
	0.0b	(-.f64 (*.f64 x y) x)
	0.0b	(-.f64 (*.f64 x y) x)
✓	0.0b	(+.f64 (.f64 z (-.f64 (.f64 x y) x)) x)
✓	5.0b	(.f64 z (-.f64 (.f64 x y) x))

series7.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

483×	`log-prod_binary64`
440×	`prod-exp_binary64`
419×	`fma-def_binary64`
365×	`pow-prod-down_binary64`
347×	`exp-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	180	21
2	2617	21

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

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

Outputs

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

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

simplify114.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-def_binary64`
476×	`fma-neg_binary64`
147×	`distribute-rgt-in_binary64`
129×	`distribute-lft-in_binary64`
116×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	723
1	80	722
2	210	722
3	506	722
4	1172	722
5	2361	722
6	2670	722
7	2741	722
8	2741	722

Stop Event

1×

saturated

Counts

176 → 121

Calls

Call 1

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

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

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (0.6%)

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	1644	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
71×	`fma-neg_binary64`
21×	`cancel-sign-sub-inv_binary64`
19×	`sub-neg_binary64`
18×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	361	160
7	441	160
8	510	160
9	516	160

Stop Event

1×

saturated

Counts

62 → 45

Calls

Call 1

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

Outputs
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	3.5b	(.f64 y (.f64 z x))
✓	3.5b	(.f64 y (.f64 z x))

series6.0ms (0.1%)

Counts

1 → 0

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 y (.f64 z x))
1.0ms	y	@	0	(.f64 y (.f64 z x))
1.0ms	y	@	inf	(.f64 y (.f64 z x))
1.0ms	z	@	-inf	(.f64 y (.f64 z x))
1.0ms	z	@	0	(.f64 y (.f64 z x))

rewrite40.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`pow1_binary64`
532×	`add-log-exp_binary64`
532×	`log1p-expm1-u_binary64`
532×	`expm1-log1p-u_binary64`
519×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1454	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	7.3b	(.f64 z (.f64 y x))
✓	7.3b	(.f64 z (.f64 y x))

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite40.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`pow1_binary64`
532×	`add-log-exp_binary64`
532×	`log1p-expm1-u_binary64`
532×	`expm1-log1p-u_binary64`
519×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1454	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	10	252
2	17	252
3	19	252

Stop Event

1×

saturated

Counts

47 → 13

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	2.5b	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
✓	2.5b	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))

series9.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
1.0ms	y	@	0	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
1.0ms	x	@	0	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
1.0ms	y	@	inf	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
1.0ms	z	@	inf	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`pow1_binary64`
748×	`add-log-exp_binary64`
748×	`log1p-expm1-u_binary64`
748×	`expm1-log1p-u_binary64`
733×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	188	10
2	2493	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify25.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

290×	`fma-def_binary64`
60×	`fma-neg_binary64`
55×	`associate-l_binary64`
49×	`unsub-neg_binary64`
48×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	390
1	31	270
2	72	270
3	159	270
4	334	270
5	505	270
6	690	270
7	792	270
8	924	270

Stop Event

1×

saturated

Counts

55 → 24

Calls

Call 1

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

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

eval186.0ms (2.8%)

Compiler: Compiled 3456 to 1665 computations (51.8% saved)

prune107.0ms (1.6%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	254	6	260
Fresh	2	4	6
Picked	1	0	1
Done	1	4	5
Total	258	14	272

Error

Counts

272 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
✓	46.9b	(.f64 z (.f64 y x))
▶	36.5b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 2)
▶	19.1b	(*.f64 (-.f64 1 z) x)
	33.4b	x
	55.8b	(pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2)
✓	19.1b	(-.f64 x (*.f64 x z))
	47.1b	(.f64 x (.f64 y z))
▶	17.0b	(+.f64 (.f64 y (.f64 z x)) x)
✓	45.9b	(.f64 y (.f64 z x))
▶	32.6b	(.f64 (-.f64 (.f64 y x) x) z)
▶	48.4b	(*.f64 x (neg.f64 z))
	17.9b	(+.f64 x (.f64 x (.f64 y z)))
	26.3b	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x)) z) (fma.f64 x y x)) x)

Compiler

Compiled 240 to 159 computations (33.8% saved)

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.5b	(.f64 y (.f64 z x))
	0.0b	(+.f64 (.f64 y (.f64 z x)) x)
✓	0.0b	(+.f64 (.f64 y (.f64 z x)) x)
	3.5b	(.f64 y (.f64 z x))

series3.0ms (0%)

Counts

1 → 18

Calls

9 calls:

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

rewrite76.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
774×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	151	8
2	2105	8

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

168×	`fma-def_binary64`
124×	`fma-neg_binary64`
60×	`associate-l_binary64`
51×	`associate-r_binary64`
44×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	126
1	36	126
2	88	126
3	221	126
4	441	126
5	671	126
6	807	126
7	853	126

Stop Event

1×

saturated

Counts

57 → 44

Calls

Call 1

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

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

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite63.0ms (0.9%)

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	1509	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

140×	`fma-def_binary64`
84×	`fma-neg_binary64`
20×	`cancel-sign-sub-inv_binary64`
19×	`associate-r_binary64`
19×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	85
1	14	76
2	33	76
3	51	76
4	72	76
5	146	76
6	273	76
7	382	76
8	462	76
9	526	76

Stop Event

1×

saturated

Counts

29 → 22

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.0b	(.f64 (-.f64 (.f64 y x) x) z)
	0.0b	(-.f64 (*.f64 y x) x)
✓	0.0b	(-.f64 (*.f64 y x) x)
✓	5.0b	(.f64 (-.f64 (.f64 y x) x) z)

series4.0ms (0.1%)

Counts

2 → 48

Calls

15 calls:

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

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`pow1_binary64`
764×	`add-log-exp_binary64`
764×	`log1p-expm1-u_binary64`
764×	`expm1-log1p-u_binary64`
747×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	17
2	2055	17

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

428×	`fma-def_binary64`
214×	`fma-neg_binary64`
76×	`cancel-sign-sub-inv_binary64`
72×	`distribute-rgt-in_binary64`
61×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	388
1	60	388
2	152	388
3	304	388
4	647	388
5	1057	388
6	1447	388
7	1507	388

Stop Event

1×

saturated

Counts

105 → 73

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.5b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
	0.2b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 2)
	0.1b	(sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))))
	0.0b	(*.f64 (-.f64 1 y) z)
	0.0b	(*.f64 (-.f64 1 y) z)
✓	0.1b	(sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))))
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 2)
	2.5b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series23.0ms (0.3%)

Counts

2 → 16

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 2)
2.0ms	y	@	inf	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 2)
2.0ms	z	@	inf	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 2)
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 2)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 2)

rewrite66.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`prod-diff_binary64`
541×	`log-prod_binary64`
348×	`pow-prod-down_binary64`
294×	`pow2_binary64`
210×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	259	28
2	3001	28

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 2)
(sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))))

Outputs

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

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

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

786×	`associate-r_binary64`
743×	`associate-l_binary64`
692×	`fma-def_binary64`
440×	`unswap-sqr_binary64`
306×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	387
1	310	375
2	1168	351
3	6721	351

Stop Event

1×	node limit

Counts

93 → 100

Calls

Call 1

Inputs
(*.f64 (-.f64 1 z) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 z 2) x) (-.f64 1 z))) (.f64 1/4 (/.f64 (.f64 (pow.f64 z 2) x) (-.f64 1 z))))) (+.f64 (.f64 y (.f64 z x)) (.f64 (-.f64 1 z) x)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 z 2) x) (-.f64 1 z))) (.f64 1/4 (/.f64 (.f64 (pow.f64 z 2) x) (-.f64 1 z))))) (+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 z 3) x) (pow.f64 (-.f64 1 z) 2))) (.f64 1/8 (/.f64 (.f64 (pow.f64 z 3) x) (pow.f64 (-.f64 1 z) 2))))) (*.f64 (-.f64 1 z) x))))
x
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 (-.f64 y 1) 2) x)) (.f64 -1/4 (.f64 (pow.f64 (-.f64 y 1) 2) x))) (pow.f64 z 2)) (+.f64 (.f64 z (*.f64 (-.f64 y 1) x)) x))
(+.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 (-.f64 y 1) 2) x)) (.f64 -1/4 (.f64 (pow.f64 (-.f64 y 1) 2) x))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (-.f64 y 1) 3) x)) (.f64 -1/8 (.f64 (pow.f64 (-.f64 y 1) 3) x))) (pow.f64 z 3)) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)))
(sqrt.f64 (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 x (-.f64 1 z))))) (sqrt.f64 (.f64 (-.f64 1 z) x)))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 x (-.f64 1 z))))) (+.f64 (sqrt.f64 (.f64 (-.f64 1 z) x)) (.f64 -1/8 (.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 3)))))))
(+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 5))))) (+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 x (-.f64 1 z))))) (+.f64 (sqrt.f64 (.f64 (-.f64 1 z) x)) (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 3))))))))
(sqrt.f64 x)
(+.f64 (.f64 1/2 (.f64 (*.f64 z (-.f64 y 1)) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (.f64 1/2 (.f64 (.f64 z (-.f64 y 1)) (sqrt.f64 x))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (-.f64 y 1) 2)) (sqrt.f64 x))) (sqrt.f64 x)))
(+.f64 (.f64 1/2 (.f64 (.f64 z (-.f64 y 1)) (sqrt.f64 x))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 z 3) (pow.f64 (-.f64 y 1) 3)) (sqrt.f64 x))) (+.f64 (.f64 -1/8 (.f64 (*.f64 (pow.f64 z 2) (pow.f64 (-.f64 y 1) 2)) (sqrt.f64 x))) (sqrt.f64 x))))

Outputs
(*.f64 (-.f64 1 z) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(fma.f64 y (.f64 z x) (.f64 (-.f64 1 z) x))
(.f64 x (+.f64 (.f64 z y) (-.f64 1 z)))
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 z 2) x) (-.f64 1 z))) (.f64 1/4 (/.f64 (.f64 (pow.f64 z 2) x) (-.f64 1 z))))) (+.f64 (.f64 y (.f64 z x)) (.f64 (-.f64 1 z) x)))
(fma.f64 y (.f64 z x) (.f64 (-.f64 1 z) x))
(.f64 x (+.f64 (.f64 z y) (-.f64 1 z)))
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 z 2) x) (-.f64 1 z))) (.f64 1/4 (/.f64 (.f64 (pow.f64 z 2) x) (-.f64 1 z))))) (+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 z 3) x) (pow.f64 (-.f64 1 z) 2))) (.f64 1/8 (/.f64 (.f64 (pow.f64 z 3) x) (pow.f64 (-.f64 1 z) 2))))) (*.f64 (-.f64 1 z) x))))
(fma.f64 y (.f64 z x) (.f64 (-.f64 1 z) x))
(.f64 x (+.f64 (.f64 z y) (-.f64 1 z)))
(*.f64 x (fma.f64 z y (-.f64 1 z)))
x
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(fma.f64 y (.f64 z x) (.f64 (-.f64 1 z) x))
(.f64 x (+.f64 (.f64 z y) (-.f64 1 z)))
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 (-.f64 y 1) 2) x)) (.f64 -1/4 (.f64 (pow.f64 (-.f64 y 1) 2) x))) (pow.f64 z 2)) (+.f64 (.f64 z (*.f64 (-.f64 y 1) x)) x))
(fma.f64 y (.f64 z x) (.f64 (-.f64 1 z) x))
(.f64 x (+.f64 (.f64 z y) (-.f64 1 z)))
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 (-.f64 y 1) 2) x)) (.f64 -1/4 (.f64 (pow.f64 (-.f64 y 1) 2) x))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (-.f64 y 1) 3) x)) (.f64 -1/8 (.f64 (pow.f64 (-.f64 y 1) 3) x))) (pow.f64 z 3)) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)))
(fma.f64 y (.f64 z x) (.f64 (-.f64 1 z) x))
(.f64 x (+.f64 (.f64 z y) (-.f64 1 z)))
(*.f64 x (fma.f64 z y (-.f64 1 z)))
(sqrt.f64 (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 x (-.f64 1 z))))) (sqrt.f64 (.f64 (-.f64 1 z) x)))
(fma.f64 1/2 (.f64 y (.f64 z (sqrt.f64 (/.f64 x (-.f64 1 z))))) (sqrt.f64 (*.f64 (-.f64 1 z) x)))
(fma.f64 y (.f64 (sqrt.f64 (/.f64 x (-.f64 1 z))) (.f64 z 1/2)) (sqrt.f64 (*.f64 (-.f64 1 z) x)))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 x (-.f64 1 z))))) (+.f64 (sqrt.f64 (.f64 (-.f64 1 z) x)) (.f64 -1/8 (.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 3)))))))
(+.f64 (fma.f64 1/2 (.f64 y (.f64 z (sqrt.f64 (/.f64 x (-.f64 1 z))))) (sqrt.f64 (.f64 (-.f64 1 z) x))) (.f64 -1/8 (.f64 (.f64 (.f64 y y) (.f64 z z)) (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 3))))))
(fma.f64 1/2 (.f64 y (.f64 z (sqrt.f64 (/.f64 x (-.f64 1 z))))) (fma.f64 -1/8 (.f64 (.f64 z z) (.f64 (.f64 y y) (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 3))))) (sqrt.f64 (*.f64 (-.f64 1 z) x))))
(fma.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 -1/8 (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 3)))) (fma.f64 y (.f64 (sqrt.f64 (/.f64 x (-.f64 1 z))) (.f64 z 1/2)) (sqrt.f64 (*.f64 (-.f64 1 z) x))))
(+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 5))))) (+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 x (-.f64 1 z))))) (+.f64 (sqrt.f64 (.f64 (-.f64 1 z) x)) (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 3))))))))
(fma.f64 1/16 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 5))))) (+.f64 (fma.f64 1/2 (.f64 y (.f64 z (sqrt.f64 (/.f64 x (-.f64 1 z))))) (sqrt.f64 (.f64 (-.f64 1 z) x))) (.f64 -1/8 (.f64 (.f64 (.f64 y y) (.f64 z z)) (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 3)))))))
(fma.f64 1/16 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 5))))) (fma.f64 1/2 (.f64 y (.f64 z (sqrt.f64 (/.f64 x (-.f64 1 z))))) (fma.f64 -1/8 (.f64 (.f64 z z) (.f64 (.f64 y y) (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 3))))) (sqrt.f64 (*.f64 (-.f64 1 z) x)))))
(fma.f64 (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 5))) (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) 1/16)) (fma.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 -1/8 (sqrt.f64 (/.f64 x (pow.f64 (-.f64 1 z) 3)))) (fma.f64 y (.f64 (sqrt.f64 (/.f64 x (-.f64 1 z))) (.f64 z 1/2)) (sqrt.f64 (*.f64 (-.f64 1 z) x)))))
(sqrt.f64 x)
(+.f64 (.f64 1/2 (.f64 (*.f64 z (-.f64 y 1)) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 1/2 (.f64 (sqrt.f64 x) (.f64 z (+.f64 y -1))) (sqrt.f64 x))
(.f64 (+.f64 (.f64 1/2 (*.f64 z (+.f64 y -1))) 1) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (fma.f64 1/2 (fma.f64 z y (neg.f64 z)) 1))
(+.f64 (.f64 1/2 (.f64 (.f64 z (-.f64 y 1)) (sqrt.f64 x))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (-.f64 y 1) 2)) (sqrt.f64 x))) (sqrt.f64 x)))
(fma.f64 1/2 (.f64 (sqrt.f64 x) (.f64 z (+.f64 y -1))) (fma.f64 -1/8 (.f64 (sqrt.f64 x) (.f64 (*.f64 z z) (pow.f64 (+.f64 y -1) 2))) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (.f64 z (+.f64 y -1))) (.f64 -1/8 (.f64 (.f64 z z) (pow.f64 (+.f64 y -1) 2))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (pow.f64 (+.f64 y -1) 2) (.f64 (.f64 z z) -1/8)) (fma.f64 1/2 (fma.f64 z y (neg.f64 z)) 1)))
(+.f64 (.f64 1/2 (.f64 (.f64 z (-.f64 y 1)) (sqrt.f64 x))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 z 3) (pow.f64 (-.f64 y 1) 3)) (sqrt.f64 x))) (+.f64 (.f64 -1/8 (.f64 (*.f64 (pow.f64 z 2) (pow.f64 (-.f64 y 1) 2)) (sqrt.f64 x))) (sqrt.f64 x))))
(fma.f64 1/2 (.f64 (sqrt.f64 x) (.f64 z (+.f64 y -1))) (fma.f64 1/16 (.f64 (pow.f64 z 3) (.f64 (pow.f64 (+.f64 y -1) 3) (sqrt.f64 x))) (fma.f64 -1/8 (.f64 (sqrt.f64 x) (.f64 (*.f64 z z) (pow.f64 (+.f64 y -1) 2))) (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (.f64 z z) (pow.f64 (+.f64 y -1) 2))) 1) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (.f64 z (+.f64 y -1))) (.f64 1/16 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 y -1) 3))))))
(fma.f64 (sqrt.f64 x) (fma.f64 1/16 (.f64 (pow.f64 z 3) (pow.f64 (+.f64 y -1) 3)) (.f64 (pow.f64 (+.f64 y -1) 2) (.f64 (.f64 z z) -1/8))) (*.f64 (sqrt.f64 x) (fma.f64 1/2 (fma.f64 z y (neg.f64 z)) 1)))

eval185.0ms (2.7%)

Compiler: Compiled 5285 to 3151 computations (40.4% saved)

prune63.0ms (0.9%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	348	5	353
Fresh	3	2	5
Picked	1	0	1
Done	0	8	8
Total	352	15	367

Error

Counts

367 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
✓	46.9b	(.f64 z (.f64 y x))
	32.7b	(.f64 (.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)) (sqrt.f64 x)) (sqrt.f64 x))
✓	48.4b	(*.f64 x (neg.f64 z))
▶	55.8b	(pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2)
▶	38.6b	(/.f64 1 (/.f64 (-.f64 (.f64 y (.f64 z x)) x) (-.f64 (pow.f64 (.f64 y (.f64 z x)) 2) (*.f64 x x))))
▶	47.1b	(.f64 x (.f64 y z))
✓	17.0b	(+.f64 (.f64 y (.f64 z x)) x)
✓	19.1b	(-.f64 x (*.f64 x z))
✓	45.9b	(.f64 y (.f64 z x))
✓	32.6b	(.f64 (-.f64 (.f64 y x) x) z)
✓	19.1b	(*.f64 (-.f64 1 z) x)
	33.4b	x
▶	50.3b	(pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 y x) x) z)) 2)
▶	17.9b	(+.f64 x (.f64 x (.f64 y z)))

Compiler

Compiled 239 to 154 computations (35.6% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.8b	(.f64 x (.f64 y z))
	0.0b	(+.f64 x (.f64 x (.f64 y z)))
✓	0.0b	(+.f64 x (.f64 x (.f64 y z)))
✓	5.8b	(.f64 x (.f64 y z))

series5.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`pow1_binary64`
782×	`add-log-exp_binary64`
782×	`log1p-expm1-u_binary64`
782×	`expm1-log1p-u_binary64`
764×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	15
2	2114	15

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

175×	`fma-def_binary64`
124×	`fma-neg_binary64`
55×	`associate-l_binary64`
49×	`associate-r_binary64`
44×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	522
1	39	522
2	93	522
3	222	522
4	435	522
5	664	522
6	800	522
7	846	522

Stop Event

1×

saturated

Counts

122 → 56

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	5.8b	(.f64 x (.f64 y z))
	5.8b	(.f64 x (.f64 y z))

rewrite0.0ms (0%)

Counts: 0 → 0

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	3.5b	(.f64 y (.f64 z x))
	0.3b	(pow.f64 (.f64 y (.f64 z x)) 2)
	0.2b	(/.f64 1 (/.f64 (-.f64 (.f64 y (.f64 z x)) x) (-.f64 (pow.f64 (.f64 y (.f64 z x)) 2) (*.f64 x x))))
	0.0b	(-.f64 (.f64 y (.f64 z x)) x)
✓	0.3b	(pow.f64 (.f64 y (.f64 z x)) 2)
	3.5b	(.f64 y (.f64 z x))
✓	4.1b	(-.f64 (pow.f64 (.f64 y (.f64 z x)) 2) (*.f64 x x))
✓	26.3b	(/.f64 (-.f64 (.f64 y (.f64 z x)) x) (-.f64 (pow.f64 (.f64 y (.f64 z x)) 2) (*.f64 x x)))

series16.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

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

rewrite89.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`log-prod_binary64`
585×	`fma-def_binary64`
323×	`fma-neg_binary64`
248×	`pow1/3_binary64`
241×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	279	37
2	4120	37

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

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

Outputs

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simplify112.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

793×	`associate-/l*_binary64`
520×	`associate-/l/_binary64`
422×	`fma-def_binary64`
346×	`cancel-sign-sub-inv_binary64`
316×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	2372
1	179	2182
2	562	2156
3	2677	2154
4	7550	2126

Stop Event

1×	node limit

Counts

326 → 243

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	11.6b	(sqrt.f64 (.f64 y (.f64 z x)))
	3.5b	(.f64 y (.f64 z x))
	0.2b	(pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2)
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2)
	3.5b	(.f64 y (.f64 z x))
✓	11.6b	(sqrt.f64 (.f64 y (.f64 z x)))

series44.0ms (0.6%)

Counts

2 → 0

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	(sqrt.f64 (.f64 y (.f64 z x)))
9.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2)
1.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2)
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2)

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`pow1_binary64`
677×	`add-log-exp_binary64`
677×	`log1p-expm1-u_binary64`
677×	`expm1-log1p-u_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	185	16
2	1903	16

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(sqrt.f64 (.f64 y (.f64 z x)))
(pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2)

Outputs

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

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

61 → 61

Calls

Call 1

Inputs

Outputs

localize20.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	6.3b	(sqrt.f64 (.f64 (-.f64 (.f64 y x) x) z))
	5.0b	(.f64 (-.f64 (.f64 y x) x) z)
	0.3b	(pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 y x) x) z)) 2)
	0.0b	(-.f64 (*.f64 y x) x)
	0.0b	(-.f64 (*.f64 y x) x)
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 y x) x) z)) 2)
	5.0b	(.f64 (-.f64 (.f64 y x) x) z)
✓	6.3b	(sqrt.f64 (.f64 (-.f64 (.f64 y x) x) z))

series19.0ms (0.3%)

Counts

2 → 8

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(sqrt.f64 (.f64 (-.f64 (.f64 y x) x) z))
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 y x) x) z)) 2)
1.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 y x) x) z)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 y x) x) z)) 2)
1.0ms	x	@	-inf	(sqrt.f64 (.f64 (-.f64 (.f64 y x) x) z))

rewrite124.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`pow1_binary64`
905×	`add-log-exp_binary64`
904×	`log1p-expm1-u_binary64`
904×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	216	22
2	2496	22

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (-.f64 (.f64 y x) x) z))
(pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 y x) x) z)) 2)

Outputs

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

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

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

431×	`associate-/r*_binary64`
409×	`*-commutative_binary64`
378×	`associate-/l/_binary64`
324×	`distribute-rgt-out_binary64`
307×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	221
1	170	179
2	570	150
3	2465	144
4	5170	144
5	6958	144

Stop Event

1×	node limit

Counts

68 → 73

Calls

Call 1

Inputs
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 y (sqrt.f64 -1)) (sqrt.f64 (.f64 z x)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z x))))
(+.f64 (.f64 1/2 (.f64 (/.f64 y (sqrt.f64 -1)) (sqrt.f64 (.f64 z x)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (.f64 z x)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z x)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 y (sqrt.f64 -1)) (sqrt.f64 (.f64 z x)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (.f64 z x)))) (+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (.f64 z x)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z x))))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z x)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 z x) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/4 (/.f64 (.f64 z x) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 y 2)) (+.f64 (.f64 y (.f64 z x)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z x))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 z x) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/4 (/.f64 (.f64 z x) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 y 2)) (+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 z x) (pow.f64 (sqrt.f64 -1) 4))) (.f64 1/8 (/.f64 (.f64 z x) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 y 3)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z x)))))

Outputs
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 y (sqrt.f64 -1)) (sqrt.f64 (.f64 z x)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z x))))
(fma.f64 1/2 (.f64 (sqrt.f64 (.f64 z x)) (/.f64 y (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z x))))
(.f64 (sqrt.f64 (.f64 z x)) (+.f64 (*.f64 1/2 (/.f64 y (sqrt.f64 -1))) (sqrt.f64 -1)))
(.f64 (sqrt.f64 (.f64 z x)) (fma.f64 1/2 (/.f64 y (sqrt.f64 -1)) (sqrt.f64 -1)))
(+.f64 (.f64 1/2 (.f64 (/.f64 y (sqrt.f64 -1)) (sqrt.f64 (.f64 z x)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (.f64 z x)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z x)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (.f64 z x)) (/.f64 y (sqrt.f64 -1))) (fma.f64 -1/8 (.f64 (sqrt.f64 (.f64 z x)) (/.f64 (.f64 y y) (pow.f64 (sqrt.f64 -1) 3))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z x)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (.f64 z x)) (/.f64 y (sqrt.f64 -1))) (.f64 (sqrt.f64 (.f64 z x)) (+.f64 (sqrt.f64 -1) (.f64 -1/8 (.f64 (/.f64 y (sqrt.f64 -1)) (/.f64 y -1))))))
(.f64 (sqrt.f64 (.f64 z x)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 y (sqrt.f64 -1)) (*.f64 1/8 (/.f64 y (/.f64 (sqrt.f64 -1) y))))))
(.f64 (sqrt.f64 (.f64 z x)) (+.f64 (sqrt.f64 -1) (.f64 (/.f64 y (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (/.f64 y -1)) 1/2))))
(.f64 (sqrt.f64 (.f64 z x)) (+.f64 (sqrt.f64 -1) (.f64 (/.f64 y (sqrt.f64 -1)) (+.f64 1/2 (.f64 -1/8 (/.f64 y -1))))))
(.f64 (sqrt.f64 (.f64 z x)) (+.f64 (sqrt.f64 -1) (.f64 (/.f64 y (sqrt.f64 -1)) (+.f64 (/.f64 (.f64 y -1/8) -1) 1/2))))
(+.f64 (.f64 1/2 (.f64 (/.f64 y (sqrt.f64 -1)) (sqrt.f64 (.f64 z x)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (.f64 z x)))) (+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (.f64 z x)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z x))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (.f64 z x)) (/.f64 y (sqrt.f64 -1))) (fma.f64 -1/8 (.f64 (sqrt.f64 (.f64 z x)) (/.f64 (.f64 y y) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (.f64 z x)) (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 5))) (.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z x))))))
(+.f64 (.f64 (sqrt.f64 (.f64 z x)) (+.f64 (.f64 -1/8 (.f64 (/.f64 y (sqrt.f64 -1)) (/.f64 y -1))) (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 5))))) (.f64 (sqrt.f64 (.f64 z x)) (+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 -1))) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (.f64 z x)) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 y (sqrt.f64 -1)) (*.f64 1/8 (/.f64 y (/.f64 (sqrt.f64 -1) y))))))
(.f64 (sqrt.f64 (.f64 z x)) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1)) (.f64 (/.f64 y (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (/.f64 y -1)) 1/2))))
(.f64 (sqrt.f64 (.f64 z x)) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1)) (.f64 (/.f64 y (sqrt.f64 -1)) (+.f64 1/2 (.f64 -1/8 (/.f64 y -1))))))
(.f64 (sqrt.f64 (.f64 z x)) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1)) (.f64 (/.f64 y (sqrt.f64 -1)) (+.f64 (/.f64 (.f64 y -1/8) -1) 1/2))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z x))
(.f64 (.f64 z x) (pow.f64 (sqrt.f64 -1) 2))
(.f64 x (.f64 z -1))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 y (.f64 z x)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z x)))
(.f64 (.f64 z x) (+.f64 y (pow.f64 (sqrt.f64 -1) 2)))
(.f64 z (.f64 x (+.f64 y -1)))
(*.f64 x (fma.f64 z y (neg.f64 z)))
(*.f64 z (fma.f64 x y (neg.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 z x) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/4 (/.f64 (.f64 z x) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 y 2)) (+.f64 (.f64 y (.f64 z x)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z x))))
(.f64 (.f64 z x) (+.f64 y (pow.f64 (sqrt.f64 -1) 2)))
(.f64 z (.f64 x (+.f64 y -1)))
(*.f64 x (fma.f64 z y (neg.f64 z)))
(*.f64 z (fma.f64 x y (neg.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 z x) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/4 (/.f64 (.f64 z x) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 y 2)) (+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 z x) (pow.f64 (sqrt.f64 -1) 4))) (.f64 1/8 (/.f64 (.f64 z x) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 y 3)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z x)))))
(.f64 (.f64 z x) (+.f64 y (pow.f64 (sqrt.f64 -1) 2)))
(.f64 z (.f64 x (+.f64 y -1)))
(*.f64 x (fma.f64 z y (neg.f64 z)))
(*.f64 z (fma.f64 x y (neg.f64 x)))

eval177.0ms (2.6%)

Compiler: Compiled 11631 to 4235 computations (63.6% saved)

prune151.0ms (2.2%)

Pruning

16 alts after pruning (3 fresh and 13 done)

	Pruned	Kept	Total
New	550	2	552
Fresh	1	1	2
Picked	0	1	1
Done	0	12	12
Total	551	16	567

Error

Counts

567 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
✓	46.9b	(.f64 z (.f64 y x))
✓	48.4b	(*.f64 x (neg.f64 z))
	33.5b	(/.f64 1 (/.f64 1 x))
✓	55.8b	(pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2)
✓	38.6b	(/.f64 1 (/.f64 (-.f64 (.f64 y (.f64 z x)) x) (-.f64 (pow.f64 (.f64 y (.f64 z x)) 2) (*.f64 x x))))
✓	47.1b	(.f64 x (.f64 y z))
✓	17.0b	(+.f64 (.f64 y (.f64 z x)) x)
✓	19.1b	(-.f64 x (*.f64 x z))
✓	45.9b	(.f64 y (.f64 z x))
✓	32.6b	(.f64 (-.f64 (.f64 y x) x) z)
✓	19.1b	(*.f64 (-.f64 1 z) x)
	33.4b	x
✓	50.3b	(pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 y x) x) z)) 2)
✓	17.9b	(+.f64 x (.f64 x (.f64 y z)))
	54.5b	(.f64 (.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))

Compiler

Compiled 161 to 105 computations (34.8% saved)

regimes294.0ms (4.3%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

11 calls:

48.0ms	z
39.0ms	x
27.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
27.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
26.0ms	y

Results

Error	Segments	Branch
0.1b	3	`x`
1.4b	2	`y`
0.1b	3	`z`
1.1b	2	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
1.1b	2	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
1.1b	2	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
1.1b	2	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
1.1b	2	`(*.f64 (-.f64 1 y) z)`
1.1b	2	`(*.f64 (-.f64 1 y) z)`
1.4b	2	`(-.f64 1 y)`
1.4b	2	`(-.f64 1 y)`

Compiler

Compiled 311 to 164 computations (47.3% saved)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1.5524451704913054e-168	2.546030841327231e-165
8.0ms	-1.3081621671085857e+138	-4.6605896604111605e+135

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes92.0ms (1.4%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	x
24.0ms	z
24.0ms	y

Results

Error	Segments	Branch
2.5b	3	`x`
1.4b	3	`y`
0.1b	3	`z`

Compiler

Compiled 98 to 41 computations (58.2% saved)

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	4.58355198202799e-22	4.6726427628104755e-17
19.0ms	-4.0483219142097575e-61	-1.5054384432511812e-66

Compiler

Compiled 42 to 29 computations (31% saved)

regimes101.0ms (1.5%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	x
30.0ms	y
24.0ms	z

Results

Error	Segments	Branch
11.7b	6	`x`
2.7b	3	`y`
1.3b	3	`z`

Compiler

Compiled 89 to 37 computations (58.4% saved)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	6.760149711475684e-6	1129.482550646479
14.0ms	-2.6746171982079283	-0.2362919593653397

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes93.0ms (1.4%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	z
28.0ms	x
27.0ms	y

Results

Error	Segments	Branch
13.4b	4	`x`
2.7b	3	`y`
8.4b	5	`z`

Compiler

Compiled 74 to 31 computations (58.1% saved)

bsearch40.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.014191937481997147	2252.7663649529754
21.0ms	-2.285844912751982	-0.439014693999706

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes84.0ms (1.2%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	z
27.0ms	x
19.0ms	y

Results

Error	Segments	Branch
13.4b	4	`x`
2.9b	3	`y`
10.0b	5	`z`

Compiler

Compiled 67 to 30 computations (55.2% saved)

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.014191937481997147	2252.7663649529754
18.0ms	-2.285844912751982	-0.439014693999706

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes58.0ms (0.9%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	z
18.0ms	y
7.0ms	x

Results

Error	Segments	Branch
19.1b	1	`x`
11.8b	3	`y`
16.6b	5	`z`

Compiler

Compiled 60 to 29 computations (51.7% saved)

bsearch106.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	51746012972654550.0	2.8093008181664506e+24
88.0ms	-3.289471879274542e+87	-3.342918009796151e+86

Compiler

Compiled 126 to 92 computations (27% saved)

regimes45.0ms (0.7%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	z
14.0ms	y
6.0ms	x

Results

Error	Segments	Branch
19.1b	1	`x`
12.2b	3	`y`
16.6b	5	`z`

Compiler

Compiled 45 to 25 computations (44.4% saved)

bsearch106.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	51746012972654550.0	2.8093008181664506e+24
88.0ms	-3.289471879274542e+87	-3.342918009796151e+86

Compiler

Compiled 126 to 92 computations (27% saved)

regimes105.0ms (1.6%)

Counts

6 → 6

Calls

Call 1

Inputs
x
(*.f64 x (neg.f64 z))
(/.f64 1 (/.f64 1 x))
(.f64 x (.f64 y z))
(.f64 x (.f64 y z))
(.f64 z (.f64 y x))

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

Calls

3 calls:

39.0ms	x
38.0ms	y
26.0ms	z

Results

Error	Segments	Branch
27.0b	9	`x`
22.6b	9	`y`
18.0b	6	`z`

Compiler

Compiled 40 to 22 computations (45% saved)

bsearch323.0ms (4.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
56.0ms	8.75799817547482e+71	2.706723731555475e+73
84.0ms	3.396569450862298e+42	2.1936882927665747e+51
127.0ms	6.760149711475684e-6	1129.482550646479
18.0ms	-3.3208976595093053e-71	-3.4166480690758255e-73
38.0ms	-73752027766.18983	-56176968904.29365

Compiler

Compiled 458 to 332 computations (27.5% saved)

regimes89.0ms (1.3%)

Counts

5 → 6

Calls

Call 1

Inputs
x
(*.f64 x (neg.f64 z))
(/.f64 1 (/.f64 1 x))
(.f64 x (.f64 y z))
(.f64 x (.f64 y z))

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

Calls

3 calls:

35.0ms	y
27.0ms	x
25.0ms	z

Results

Error	Segments	Branch
29.6b	7	`x`
22.9b	9	`y`
18.0b	6	`z`

Compiler

Compiled 35 to 20 computations (42.9% saved)

bsearch322.0ms (4.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
56.0ms	8.75799817547482e+71	2.706723731555475e+73
84.0ms	3.396569450862298e+42	2.1936882927665747e+51
126.0ms	6.760149711475684e-6	1129.482550646479
19.0ms	-3.3208976595093053e-71	-3.4166480690758255e-73
38.0ms	-73752027766.18983	-56176968904.29365

Compiler

Compiled 458 to 332 computations (27.5% saved)

regimes49.0ms (0.7%)

Accuracy

Total -41.4b remaining (-204.2%)

Threshold costs -41.4b (-204.2%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(*.f64 x (neg.f64 z))
(/.f64 1 (/.f64 1 x))

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

Calls

3 calls:

22.0ms	y
16.0ms	x
11.0ms	z

Results

Error	Segments	Branch
30.8b	5	`x`
29.5b	7	`y`
20.3b	3	`z`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch352.0ms (5.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
159.0ms	6.760149711475684e-6	1129.482550646479
193.0ms	-2.6746171982079283	-0.2362919593653397

Compiler

Compiled 213 to 164 computations (23% saved)

simplify30.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

94×	`distribute-rgt-neg-in_binary64`
73×	`cancel-sign-sub-inv_binary64`
63×	`distribute-lft-neg-out_binary64`
57×	`distribute-lft-neg-in_binary64`
56×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	437
1	112	437
2	137	437
3	155	437
4	183	437
5	235	437
6	300	437
7	381	437
8	474	437
9	561	437
10	638	437
11	701	437
12	739	437
13	747	437

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1000000000000000032841562489204926078987012566359611695512313426258747006898787995544001315627727412683949504784322435578648490634211491840) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (if (<=.f64 x 3298250447251343/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (+.f64 (.f64 z (-.f64 (.f64 x y) x)) x) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))))
(if (<=.f64 z -46876365235155896/115792089237316195423570985008687907853269984665640564039457584007913129639936) (+.f64 (.f64 z (-.f64 (.f64 x y) x)) x) (if (<=.f64 z 3402823669209384448/340282366920938463463374607431768211456) (+.f64 x (.f64 x (.f64 y z))) (+.f64 (.f64 z (-.f64 (.f64 x y) x)) x)))
(if (<=.f64 z -1) (.f64 (-.f64 (.f64 y x) x) z) (if (<=.f64 z 1) (+.f64 x (.f64 x (.f64 y z))) (.f64 (-.f64 (.f64 y x) x) z)))
(if (<=.f64 y -5147265148648285/2251799813685248) (+.f64 (.f64 y (.f64 z x)) x) (if (<=.f64 y 261795038640487328/18446744073709551616) (.f64 (-.f64 1 z) x) (+.f64 x (.f64 x (*.f64 y z)))))
(if (<=.f64 y -5147265148648285/2251799813685248) (+.f64 (.f64 y (.f64 z x)) x) (if (<=.f64 y 261795038640487328/18446744073709551616) (.f64 (-.f64 1 z) x) (+.f64 (.f64 y (*.f64 z x)) x)))
(if (<=.f64 y -3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (.f64 y (.f64 z x)) (if (<=.f64 y 51746012972654552) (.f64 (-.f64 1 z) x) (.f64 x (*.f64 y z))))
(if (<=.f64 y -3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (.f64 z (.f64 y x)) (if (<=.f64 y 51746012972654552) (.f64 (-.f64 1 z) x) (.f64 x (*.f64 y z))))
(if (<=.f64 z -243269632000000000/4194304) (.f64 x (neg.f64 z)) (if (<=.f64 z -16515595718128534/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (.f64 z (.f64 y x)) (if (<=.f64 z 1100) x (if (<=.f64 z 439999999999999991277092674789657062961840128) (.f64 x (neg.f64 z)) (if (<=.f64 z 900000000000000086733230315498755630559395348786198330628736850501566464) (.f64 x (.f64 y z)) (*.f64 x (neg.f64 z)))))))
(if (<=.f64 z -243269632000000000/4194304) (.f64 x (neg.f64 z)) (if (<=.f64 z -16515595718128534/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (.f64 x (.f64 y z)) (if (<=.f64 z 1100) x (if (<=.f64 z 439999999999999991277092674789657062961840128) (.f64 x (neg.f64 z)) (if (<=.f64 z 900000000000000086733230315498755630559395348786198330628736850501566464) (.f64 x (.f64 y z)) (*.f64 x (neg.f64 z)))))))
(if (<=.f64 z -1) (.f64 x (neg.f64 z)) (if (<=.f64 z 1100) x (.f64 x (neg.f64 z))))
x

Outputs
(if (<=.f64 x -1000000000000000032841562489204926078987012566359611695512313426258747006898787995544001315627727412683949504784322435578648490634211491840) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (if (<=.f64 x 3298250447251343/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (+.f64 (.f64 z (-.f64 (.f64 x y) x)) x) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))))
(if (<=.f64 x -1000000000000000032841562489204926078987012566359611695512313426258747006898787995544001315627727412683949504784322435578648490634211491840) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (if (<=.f64 x 3298250447251343/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (+.f64 x (.f64 z (-.f64 (.f64 x y) x))) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))))
(if (<=.f64 x -1000000000000000032841562489204926078987012566359611695512313426258747006898787995544001315627727412683949504784322435578648490634211491840) (.f64 x (+.f64 1 (.f64 z (+.f64 y -1)))) (if (<=.f64 x 3298250447251343/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (+.f64 x (.f64 z (-.f64 (.f64 x y) x))) (.f64 x (+.f64 1 (.f64 z (+.f64 y -1))))))
(if (<=.f64 z -46876365235155896/115792089237316195423570985008687907853269984665640564039457584007913129639936) (+.f64 (.f64 z (-.f64 (.f64 x y) x)) x) (if (<=.f64 z 3402823669209384448/340282366920938463463374607431768211456) (+.f64 x (.f64 x (.f64 y z))) (+.f64 (.f64 z (-.f64 (.f64 x y) x)) x)))
(if (<=.f64 z -5859545654394487/14474011154664524427946373126085988481658748083205070504932198000989141204992) (+.f64 x (.f64 z (-.f64 (.f64 x y) x))) (if (<=.f64 z 6646139978924579/664613997892457936451903530140172288) (+.f64 x (.f64 x (.f64 y z))) (+.f64 x (.f64 z (-.f64 (.f64 x y) x)))))
(if (<=.f64 z -1) (.f64 (-.f64 (.f64 y x) x) z) (if (<=.f64 z 1) (+.f64 x (.f64 x (.f64 y z))) (.f64 (-.f64 (.f64 y x) x) z)))
(if (<=.f64 z -1) (.f64 z (-.f64 (.f64 x y) x)) (if (<=.f64 z 1) (+.f64 x (.f64 x (.f64 y z))) (.f64 z (-.f64 (.f64 x y) x))))
(if (<=.f64 y -5147265148648285/2251799813685248) (+.f64 (.f64 y (.f64 z x)) x) (if (<=.f64 y 261795038640487328/18446744073709551616) (.f64 (-.f64 1 z) x) (+.f64 x (.f64 x (*.f64 y z)))))
(if (<=.f64 y -5147265148648285/2251799813685248) (+.f64 x (.f64 y (.f64 x z))) (if (<=.f64 y 8181094957515229/576460752303423488) (.f64 x (-.f64 1 z)) (+.f64 x (.f64 x (*.f64 y z)))))
(if (<=.f64 y -5147265148648285/2251799813685248) (+.f64 (.f64 y (.f64 z x)) x) (if (<=.f64 y 261795038640487328/18446744073709551616) (.f64 (-.f64 1 z) x) (+.f64 (.f64 y (*.f64 z x)) x)))
(if (<=.f64 y -5147265148648285/2251799813685248) (+.f64 x (.f64 y (.f64 x z))) (if (<=.f64 y 8181094957515229/576460752303423488) (.f64 x (-.f64 1 z)) (+.f64 x (.f64 y (*.f64 x z)))))
(if (<=.f64 y -3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (.f64 y (.f64 z x)) (if (<=.f64 y 51746012972654552) (.f64 (-.f64 1 z) x) (.f64 x (*.f64 y z))))
(if (<=.f64 y -3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (.f64 y (.f64 x z)) (if (<=.f64 y 51746012972654552) (.f64 x (-.f64 1 z)) (.f64 x (*.f64 y z))))
(if (<=.f64 y -3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (.f64 z (.f64 y x)) (if (<=.f64 y 51746012972654552) (.f64 (-.f64 1 z) x) (.f64 x (*.f64 y z))))
(if (<=.f64 y -3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (.f64 z (.f64 x y)) (if (<=.f64 y 51746012972654552) (.f64 x (-.f64 1 z)) (.f64 x (*.f64 y z))))
(if (<=.f64 z -243269632000000000/4194304) (.f64 x (neg.f64 z)) (if (<=.f64 z -16515595718128534/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (.f64 z (.f64 y x)) (if (<=.f64 z 1100) x (if (<=.f64 z 439999999999999991277092674789657062961840128) (.f64 x (neg.f64 z)) (if (<=.f64 z 900000000000000086733230315498755630559395348786198330628736850501566464) (.f64 x (.f64 y z)) (*.f64 x (neg.f64 z)))))))
(if (<=.f64 z -58000000000) (.f64 x (neg.f64 z)) (if (<=.f64 z -8257797859064267/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (.f64 z (.f64 x y)) (if (<=.f64 z 1100) x (if (<=.f64 z 439999999999999991277092674789657062961840128) (.f64 x (neg.f64 z)) (if (<=.f64 z 900000000000000086733230315498755630559395348786198330628736850501566464) (.f64 x (.f64 y z)) (*.f64 x (neg.f64 z)))))))
(if (<=.f64 z -243269632000000000/4194304) (.f64 x (neg.f64 z)) (if (<=.f64 z -16515595718128534/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (.f64 x (.f64 y z)) (if (<=.f64 z 1100) x (if (<=.f64 z 439999999999999991277092674789657062961840128) (.f64 x (neg.f64 z)) (if (<=.f64 z 900000000000000086733230315498755630559395348786198330628736850501566464) (.f64 x (.f64 y z)) (*.f64 x (neg.f64 z)))))))
(if (<=.f64 z -58000000000) (.f64 x (neg.f64 z)) (if (<=.f64 z -8257797859064267/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (.f64 x (.f64 y z)) (if (<=.f64 z 1100) x (if (<=.f64 z 439999999999999991277092674789657062961840128) (.f64 x (neg.f64 z)) (if (<=.f64 z 900000000000000086733230315498755630559395348786198330628736850501566464) (.f64 x (.f64 y z)) (*.f64 x (neg.f64 z)))))))
(if (<=.f64 z -1) (.f64 x (neg.f64 z)) (if (<=.f64 z 1100) x (.f64 x (neg.f64 z))))
x

end127.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 638 to 299 computations (53.1% saved)

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	361	160
7	441	160
8	510	160
9	516	160

Iter	Nodes	Cost
0	13	390
1	31	270
2	72	270
3	159	270
4	334	270
5	505	270
6	690	270
7	792	270
8	924	270

Iter	Nodes	Cost
0	79	437
1	112	437
2	137	437
3	155	437
4	183	437
5	235	437
6	300	437
7	381	437
8	474	437
9	561	437
10	638	437
11	701	437
12	739	437
13	747	437

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	361	160
7	441	160
8	510	160
9	516	160

Iter	Nodes	Cost
0	13	390
1	31	270
2	72	270
3	159	270
4	334	270
5	505	270
6	690	270
7	792	270
8	924	270

Iter	Nodes	Cost
0	79	437
1	112	437
2	137	437
3	155	437
4	183	437
5	235	437
6	300	437
7	381	437
8	474	437
9	561	437
10	638	437
11	701	437
12	739	437
13	747	437

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	361	160
7	441	160
8	510	160
9	516	160

Iter	Nodes	Cost
0	13	390
1	31	270
2	72	270
3	159	270
4	334	270
5	505	270
6	690	270
7	792	270
8	924	270

Iter	Nodes	Cost
0	79	437
1	112	437
2	137	437
3	155	437
4	183	437
5	235	437
6	300	437
7	381	437
8	474	437
9	561	437
10	638	437
11	701	437
12	739	437
13	747	437