Details

analyze267.0ms (5.1%)

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
28.1%	71.8%	0.1%	9
34.3%	59.3%	6.4%	10
40.6%	51.3%	8.1%	11
48%	43.2%	8.8%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.3s (24.8%)

Results

1.1s	8256×	body	256	valid
210.0ms	1247×	body	256	invalid

preprocess77.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

869×	`fma-neg_binary64`
384×	`fma-def_binary64`
156×	`unsub-neg_binary64`
145×	`distribute-rgt-in_binary64`
108×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	31	32
2	73	32
3	176	32
4	317	32
5	656	32
6	1272	32
7	2021	32
8	2747	32
9	2910	32
10	2938	32
11	2938	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

276×	`fma-def_binary64`
251×	`fma-neg_binary64`
71×	`cancel-sign-sub-inv_binary64`
55×	`distribute-rgt-in_binary64`
42×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	52	8
4	100	8
5	171	8
6	281	8
7	481	8
8	875	8
9	1116	8
10	1216	8
11	1223	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 16 to 7 computations (56.3% 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
▶	0.0b	(fma.f64 (-.f64 y x) z x)
▶	0.0b	(+.f64 x (*.f64 (-.f64 y x) z))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series9.0ms (0.2%)

Counts

2 → 60

Calls

18 calls:

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

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

969×	`pow1_binary64`
901×	`add-log-exp_binary64`
901×	`log1p-expm1-u_binary64`
901×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	158	15
2	2364	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

415×	`fma-def_binary64`
296×	`fma-neg_binary64`
64×	`cancel-sign-sub-inv_binary64`
60×	`distribute-rgt-in_binary64`
42×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	531
1	58	420
2	111	420
3	220	420
4	380	420
5	682	420
6	1066	420
7	1305	420
8	1424	420
9	1426	420

Stop Event

1×

saturated

Counts

114 → 69

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series12.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	(fma.f64 (-.f64 y x) z x)
1.0ms	y	@	0	(fma.f64 (-.f64 y x) z x)
0.0ms	z	@	inf	(fma.f64 (-.f64 y x) z x)
0.0ms	y	@	-inf	(fma.f64 (-.f64 y x) z x)
0.0ms	z	@	-inf	(fma.f64 (-.f64 y x) z x)

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`pow1_binary64`
682×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
666×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1787	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify32.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

400×	`fma-def_binary64`
296×	`fma-neg_binary64`
64×	`cancel-sign-sub-inv_binary64`
60×	`distribute-rgt-in_binary64`
42×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	375
1	56	264
2	108	264
3	213	264
4	373	264
5	675	264
6	1048	264
7	1287	264
8	1406	264
9	1408	264

Stop Event

1×

saturated

Counts

57 → 34

Calls

Call 1

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

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

eval18.0ms (0.4%)

Compiler: Compiled 1167 to 340 computations (70.9% saved)

prune24.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	97	8	105

Error

Counts

105 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.0b	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 y x) z) 2)) (/.f64 1 (-.f64 x (.f64 (-.f64 y x) z))))
✓	0.0b	(+.f64 x (*.f64 (-.f64 y x) z))
▶	22.0b	(.f64 (+.f64 (.f64 -1 z) 1) x)
	30.9b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) 2))
▶	27.0b	(*.f64 (-.f64 y x) z)
▶	40.8b	(*.f64 y z)
	35.6b	x
▶	22.0b	(-.f64 x (*.f64 z x))

Compiler

Compiled 152 to 97 computations (36.2% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.f64 x (*.f64 z x))
1.0ms	x	@	0	(-.f64 x (*.f64 z x))
0.0ms	x	@	-inf	(-.f64 x (*.f64 z x))
0.0ms	z	@	0	(-.f64 x (*.f64 z x))
0.0ms	z	@	-inf	(-.f64 x (*.f64 z x))

rewrite54.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
593×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1648	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

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

simplify19.0ms (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

64 → 47

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))

localize2.0ms (0%)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0.2%)

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

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite87.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`pow1_binary64`
592×	`add-log-exp_binary64`
592×	`log1p-expm1-u_binary64`
592×	`expm1-log1p-u_binary64`
581×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	159	7
2	1958	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.3%)

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

33 → 26

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)

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (*.f64 (-.f64 y x) z) 2)
	0.1b	(/.f64 1 (-.f64 x (*.f64 (-.f64 y x) z)))
	0.0b	(-.f64 x (*.f64 (-.f64 y x) z))
	0.0b	(*.f64 (-.f64 y x) z)
✓	0.1b	(/.f64 1 (-.f64 x (*.f64 (-.f64 y x) z)))
✓	0.3b	(pow.f64 (*.f64 (-.f64 y x) z) 2)
✓	4.3b	(-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 y x) z) 2))
✓	29.3b	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 y x) z) 2)) (/.f64 1 (-.f64 x (.f64 (-.f64 y x) z))))

series35.0ms (0.7%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(/.f64 1 (-.f64 x (*.f64 (-.f64 y x) z)))
3.0ms	x	@	0	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 y x) z) 2)) (/.f64 1 (-.f64 x (.f64 (-.f64 y x) z))))
3.0ms	x	@	inf	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 y x) z) 2)) (/.f64 1 (-.f64 x (.f64 (-.f64 y x) z))))
2.0ms	z	@	-inf	(pow.f64 (*.f64 (-.f64 y x) z) 2)
2.0ms	z	@	-inf	(/.f64 1 (-.f64 x (*.f64 (-.f64 y x) z)))

rewrite126.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`log-prod_binary64`
681×	`fma-def_binary64`
267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`
265×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	321	49
2	4600	47

Stop Event

1×	node limit

Counts

4 → 254

Calls

Call 1

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

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

simplify190.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

717×	`cancel-sign-sub-inv_binary64`
357×	`div-sub_binary64`
350×	`times-frac_binary64`
340×	`fma-neg_binary64`
328×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	6293
1	1380	5669
2	5834	5583

Stop Event

1×	node limit

Counts

398 → 392

Calls

Call 1

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

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

eval273.0ms (5.3%)

Compiler: Compiled 15178 to 6468 computations (57.4% saved)

prune88.0ms (1.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	482	4	486
Fresh	1	1	2
Picked	1	0	1
Done	1	4	5
Total	485	9	494

Error

Counts

494 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.0b	(*.f64 (-.f64 1 z) x)
✓	40.8b	(*.f64 y z)
✓	22.0b	(-.f64 x (*.f64 z x))
▶	48.7b	(neg.f64 (*.f64 z x))
	35.6b	x
▶	30.9b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) 2))
▶	0.0b	(-.f64 (+.f64 (.f64 y z) (.f64 -2 (.f64 z x))) (.f64 -1 (-.f64 x (.f64 -1 (.f64 z x)))))
✓	27.0b	(*.f64 (-.f64 y x) z)
✓	0.0b	(+.f64 x (*.f64 (-.f64 y x) z))

Compiler

Compiled 86 to 57 computations (33.7% saved)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (+.f64 (.f64 y z) (.f64 -2 (.f64 z x))) (.f64 -1 (-.f64 x (.f64 -1 (.f64 z x)))))
	0.0b	(+.f64 (.f64 y z) (.f64 -2 (*.f64 z x)))
	0.0b	(-.f64 x (.f64 -1 (.f64 z x)))
	0.0b	(.f64 -2 (.f64 z x))
✓	0.0b	(.f64 -2 (.f64 z x))
✓	0.0b	(-.f64 x (.f64 -1 (.f64 z x)))
✓	0.0b	(+.f64 (.f64 y z) (.f64 -2 (*.f64 z x)))
✓	0.0b	(-.f64 (+.f64 (.f64 y z) (.f64 -2 (.f64 z x))) (.f64 -1 (-.f64 x (.f64 -1 (.f64 z x)))))

series19.0ms (0.4%)

Counts

4 → 69

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(+.f64 (.f64 y z) (.f64 -2 (*.f64 z x)))
1.0ms	y	@	0	(-.f64 (+.f64 (.f64 y z) (.f64 -2 (.f64 z x))) (.f64 -1 (-.f64 x (.f64 -1 (.f64 z x)))))
1.0ms	z	@	0	(-.f64 (+.f64 (.f64 y z) (.f64 -2 (.f64 z x))) (.f64 -1 (-.f64 x (.f64 -1 (.f64 z x)))))
1.0ms	z	@	-inf	(-.f64 (+.f64 (.f64 y z) (.f64 -2 (.f64 z x))) (.f64 -1 (-.f64 x (.f64 -1 (.f64 z x)))))
1.0ms	x	@	0	(-.f64 (+.f64 (.f64 y z) (.f64 -2 (.f64 z x))) (.f64 -1 (-.f64 x (.f64 -1 (.f64 z x)))))

rewrite90.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`log-prod_binary64`
386×	`fma-neg_binary64`
238×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`
188×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	318	43
2	4946	43

Stop Event

1×	node limit

Counts

4 → 237

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y z) (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y z) (.f64 (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (.f64 x -2)) (fma.f64 y z (+.f64 x (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (.f64 x -2)) (+.f64 (.f64 y z) (+.f64 x (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 (.f64 z x) (.f64 y z)) (+.f64 x (.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 z x)) (fma.f64 -2 (.f64 z x) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x (.f64 z x)))) (cbrt.f64 (pow.f64 (+.f64 x (.f64 z x)) 2)) (+.f64 x (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x)))) (+.f64 (+.f64 x (.f64 z x)) (+.f64 x (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x))) (.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 -2 (.f64 z x) (.f64 y z)) x) (.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x)))))) (cbrt.f64 (exp.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x)))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x)))) 2) (/.f64 1 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x))))) (pow.f64 (cbrt.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x))))) 2) (cbrt.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x))))) (sqrt.f64 (fma.f64 y z (fma.f64 z (.f64 x -2) (+.f64 x (.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (fma.f64 -2 (.f64 z x) (.f64 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neg.f64 (+.f64 x (.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (+.f64 x (.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (log1p.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (log.f64 x) (log1p.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (.f64 z x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) z) -2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) z) -2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) z) -2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -8 (pow.f64 (.f64 z x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 z x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -8 (pow.f64 (.f64 z x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (.f64 x -2))))))))

simplify157.0ms (3%)

Algorithm

1×	egg-herbie

Rules

785×	`unsub-neg_binary64`
659×	`*-commutative_binary64`
634×	`fma-def_binary64`
428×	`distribute-rgt-out_binary64`
416×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	678
1	151	487
2	353	441
3	1271	435
4	3683	435
5	4974	435
6	5891	435
7	6243	435
8	6479	435
9	6539	435
10	6563	435
11	7283	435
12	7463	435
13	7603	435

Stop Event

1×	node limit

Counts

306 → 263

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.9b	(sqrt.f64 (*.f64 (-.f64 y x) z))
	0.2b	(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) 2)
	0.0b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) 2))
	0.0b	(*.f64 (-.f64 y x) z)
	0.0b	(*.f64 (-.f64 y x) z)
✓	0.0b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) 2))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) 2)
✓	2.9b	(sqrt.f64 (*.f64 (-.f64 y x) z))

series27.0ms (0.5%)

Counts

3 → 27

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) 2)
2.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) 2)
2.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) 2)
1.0ms	y	@	0	(sqrt.f64 (*.f64 (-.f64 y x) z))

rewrite71.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

474×	`log-prod_binary64`
381×	`fma-def_binary64`
370×	`pow-prod-down_binary64`
348×	`exp-prod_binary64`
264×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	225	24
2	2805	24

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

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

Outputs

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

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#<rule egg-rr> (2) ((x fma.f64 z (-.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 y x) z) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) (sqrt.f64 (*.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (-.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) 2) (cbrt.f64 (*.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (-.f64 y x) z) 1/4) (pow.f64 (*.f64 (-.f64 y x) z) 3/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (*.f64 z (*.f64 (-.f64 y x) z)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3/4) (pow.f64 (*.f64 (-.f64 y x) z) 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 y x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (cbrt.f64 (-.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (-.f64 y x) z) 5/6) (pow.f64 (*.f64 (-.f64 y x) z) 1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y x) z) (-.f64 y x)) 1/2) (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) z x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) z x)))))))

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

876×	`fma-neg_binary64`
839×	`fma-def_binary64`
434×	`associate-/l/_binary64`
294×	`associate-+l+_binary64`
288×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	495
1	359	437
2	1188	407
3	4802	403
4	7341	403

Stop Event

1×	node limit

Counts

182 → 190

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

localize9.0ms (0.2%)

localize3.0ms (0.1%)

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 (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite42.0ms (0.8%)

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 exp.f64 (log.f64 (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 z) x)))))))

simplify23.0ms (0.4%)

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)

eval153.0ms (2.9%)

Compiler: Compiled 9711 to 4281 computations (55.9% saved)

prune131.0ms (2.5%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	492	4	496
Fresh	1	0	1
Picked	0	1	1
Done	2	5	7
Total	495	10	505

Error

Counts

505 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.0b	(*.f64 (-.f64 1 z) x)
✓	40.8b	(*.f64 y z)
✓	22.0b	(-.f64 x (*.f64 z x))
✓	48.7b	(neg.f64 (*.f64 z x))
▶	14.1b	(+.f64 x (*.f64 z y))
✓	27.0b	(*.f64 (-.f64 y x) z)
▶	27.1b	(.f64 (-.f64 (+.f64 y (.f64 -2 x)) (*.f64 -1 x)) z)
✓	0.0b	(+.f64 x (*.f64 (-.f64 y x) z))
▶	0.0b	(+.f64 (.f64 (-.f64 (+.f64 (.f64 -2 x) y) (*.f64 -1 x)) z) x)
	35.6b	x

Compiler

Compiled 89 to 60 computations (32.6% saved)

localize10.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (+.f64 (.f64 -2 x) y) (.f64 -1 x))
	0.0b	(+.f64 (.f64 (-.f64 (+.f64 (.f64 -2 x) y) (*.f64 -1 x)) z) x)
	0.0b	(.f64 (-.f64 (+.f64 (.f64 -2 x) y) (*.f64 -1 x)) z)
✓	0.0b	(.f64 (-.f64 (+.f64 (.f64 -2 x) y) (*.f64 -1 x)) z)
✓	0.0b	(+.f64 (.f64 (-.f64 (+.f64 (.f64 -2 x) y) (*.f64 -1 x)) z) x)
✓	0.0b	(-.f64 (+.f64 (.f64 -2 x) y) (.f64 -1 x))

series11.0ms (0.2%)

Counts

3 → 86

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+.f64 (.f64 (-.f64 (+.f64 (.f64 -2 x) y) (*.f64 -1 x)) z) x)
1.0ms	z	@	-inf	(+.f64 (.f64 (-.f64 (+.f64 (.f64 -2 x) y) (*.f64 -1 x)) z) x)
1.0ms	x	@	0	(-.f64 (+.f64 (.f64 -2 x) y) (.f64 -1 x))
1.0ms	z	@	0	(+.f64 (.f64 (-.f64 (+.f64 (.f64 -2 x) y) (*.f64 -1 x)) z) x)
1.0ms	z	@	0	(.f64 (-.f64 (+.f64 (.f64 -2 x) y) (*.f64 -1 x)) z)

rewrite82.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log-prod_binary64`
576×	`fma-def_binary64`
372×	`fma-neg_binary64`
322×	`pow2_binary64`
220×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	272	31
2	4083	31

Stop Event

1×	node limit

Counts

3 → 245

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 -2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 x) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 x) (*.f64 (+.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (fma.f64 -2 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 x (+.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 x (+.f64 y x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y x) (*.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -2 x (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 x (+.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 x (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -2 x (+.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -2 x (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2 x (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2 x (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -2 x (+.f64 y x)) 2) (/.f64 1 (fma.f64 -2 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 x (+.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 -2 x (+.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x (+.f64 y x))) 2) (cbrt.f64 (fma.f64 -2 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 x (+.f64 y x))) (sqrt.f64 (fma.f64 -2 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -2 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 -2 x (+.f64 y x)) (pow.f64 (fma.f64 -2 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 -2 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 -2 x y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (fma.f64 -2 x (+.f64 y x)) (pow.f64 (fma.f64 -2 x y) 2)) (+.f64 (pow.f64 (fma.f64 -2 x y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2 x (+.f64 y x)) (pow.f64 (fma.f64 -2 x (+.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 -2 x (+.f64 y x)) 2) (fma.f64 -2 x (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -2 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 -2 x (+.f64 y x)) (pow.f64 (fma.f64 -2 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -2 x y) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (fma.f64 -2 x (+.f64 y x)) (pow.f64 (fma.f64 -2 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 -2 x (+.f64 y x)) 2)) (neg.f64 (fma.f64 -2 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 4 (*.f64 x x) (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 -2 x) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -2 x) 2) (pow.f64 (+.f64 y x) 2)) (-.f64 (*.f64 -2 x) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 x (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 x (+.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2 x (+.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 x (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 -2 x (+.f64 y x)) (pow.f64 (fma.f64 -2 x y) 2)) (+.f64 (pow.f64 (fma.f64 -2 x y) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -2 x (+.f64 y x)) (pow.f64 (fma.f64 -2 x (+.f64 y x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2 x (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 x (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 x y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 -2 x y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 x y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 -2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (fma.f64 -2 x y)))))))) (#(struct:change #<rule 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(+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -2 x (+.f64 y x)) z))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 z) (fma.f64 -2 x (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -2 x (+.f64 y x)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -2 x (+.f64 y x)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -2 x (+.f64 y x)) z))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) (fma.f64 -2 x (+.f64 y x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -2 x (+.f64 y x)) z))) (+.f64 1 (expm1.f64 x))))))) 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2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 -2 x (+.f64 y x)) z) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 (fma.f64 -2 x (+.f64 y x)) z)) (pow.f64 (*.f64 (fma.f64 -2 x (+.f64 y x)) z) 2))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (fma.f64 -2 x (+.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (fma.f64 -2 x (+.f64 y x)) z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (fma.f64 -2 x (+.f64 y x)) z)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (fma.f64 -2 x (+.f64 y x)) z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (fma.f64 -2 x (+.f64 y x)) z)) (sqrt.f64 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (fma.f64 -2 x (+.f64 y x)) z))))) (#(struct:change #<rule 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#<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 -2 x (+.f64 y x)) z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (fma.f64 -2 x (+.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (fma.f64 -2 x (+.f64 y x)) z x)))))))

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

simplify81.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

766×	`unsub-neg_binary64`
422×	`neg-sub0_binary64`
419×	`fma-def_binary64`
380×	`neg-mul-1_binary64`
368×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	727
1	85	536
2	171	536
3	586	536
4	2642	536
5	5249	536
6	7185	536
7	7875	536

Stop Event

1×	node limit

Counts

331 → 270

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (+.f64 y (.f64 -2 x)) (.f64 -1 x))
	0.0b	(.f64 (-.f64 (+.f64 y (.f64 -2 x)) (*.f64 -1 x)) z)
✓	0.0b	(.f64 (-.f64 (+.f64 y (.f64 -2 x)) (*.f64 -1 x)) z)
✓	0.0b	(-.f64 (+.f64 y (.f64 -2 x)) (.f64 -1 x))

series6.0ms (0.1%)

Counts

2 → 53

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(.f64 (-.f64 (+.f64 y (.f64 -2 x)) (*.f64 -1 x)) z)
1.0ms	z	@	0	(.f64 (-.f64 (+.f64 y (.f64 -2 x)) (*.f64 -1 x)) z)
1.0ms	z	@	-inf	(.f64 (-.f64 (+.f64 y (.f64 -2 x)) (*.f64 -1 x)) z)
0.0ms	y	@	0	(-.f64 (+.f64 y (.f64 -2 x)) (.f64 -1 x))
0.0ms	y	@	0	(.f64 (-.f64 (+.f64 y (.f64 -2 x)) (*.f64 -1 x)) z)

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
454×	`fma-def_binary64`
378×	`pow-prod-down_binary64`
273×	`pow2_binary64`
236×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	240	11
2	3523	11

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

873×	`unsub-neg_binary64`
502×	`distribute-neg-in_binary64`
498×	`distribute-rgt-in_binary64`
434×	`fma-neg_binary64`
411×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	426
1	52	284
2	122	284
3	392	284
4	1399	284
5	5024	284
6	6787	284
7	7657	284

Stop Event

1×	node limit

Counts

173 → 135

Calls

Call 1

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

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

localize4.0ms (0.1%)

eval114.0ms (2.2%)

Compiler: Compiled 6047 to 2847 computations (52.9% saved)

prune70.0ms (1.3%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	405	0	405
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	405	10	415

Error

Counts

415 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.0b	(*.f64 (-.f64 1 z) x)
✓	40.8b	(*.f64 y z)
✓	22.0b	(-.f64 x (*.f64 z x))
✓	48.7b	(neg.f64 (*.f64 z x))
✓	14.1b	(+.f64 x (*.f64 z y))
✓	27.0b	(*.f64 (-.f64 y x) z)
✓	27.1b	(.f64 (-.f64 (+.f64 y (.f64 -2 x)) (*.f64 -1 x)) z)
✓	0.0b	(+.f64 x (*.f64 (-.f64 y x) z))
✓	0.0b	(+.f64 (.f64 (-.f64 (+.f64 (.f64 -2 x) y) (*.f64 -1 x)) z) x)
	35.6b	x

Compiler

Compiled 89 to 60 computations (32.6% saved)

regimes48.0ms (0.9%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	z
11.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
10.0ms	x
10.0ms	y

Results

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

Compiler

Compiled 149 to 72 computations (51.7% saved)

regimes38.0ms (0.7%)

Counts

14 → 1

Calls

Call 1

Inputs
x
x
x
(*.f64 y z)
(neg.f64 (*.f64 z x))
(+.f64 x (*.f64 z y))
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 y x) z)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(+.f64 x (*.f64 (-.f64 y x) z))
(.f64 (-.f64 (+.f64 y (.f64 -2 x)) (*.f64 -1 x)) z)
(+.f64 (.f64 (-.f64 (+.f64 (.f64 -2 x) y) (*.f64 -1 x)) z) x)
(-.f64 (+.f64 (.f64 y z) (.f64 -2 (.f64 z x))) (.f64 -1 (-.f64 x (.f64 -1 (.f64 z x)))))

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

Calls

4 calls:

9.0ms	y
9.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
8.0ms	x
8.0ms	z

Results

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

Compiler

Compiled 112 to 59 computations (47.3% saved)

regimes80.0ms (1.5%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	x
22.0ms	y
18.0ms	z

Results

Error	Segments	Branch
7.8b	6	`x`
5.9b	3	`y`
0.6b	3	`z`

Compiler

Compiled 52 to 28 computations (46.2% saved)

bsearch40.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.0004452428417359405	790.0502497251898
21.0ms	-2136901428.5579662	-524531227.65550774

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes67.0ms (1.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	z
20.0ms	y
14.0ms	x

Results

Error	Segments	Branch
11.0b	2	`x`
5.9b	3	`y`
7.5b	5	`z`

Compiler

Compiled 35 to 20 computations (42.9% saved)

bsearch42.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	9.627615786137101e-89	1.1169018331842962e-88
20.0ms	-1.2967668888548265e-123	-2.1936606497401536e-124

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes61.0ms (1.2%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	z
14.0ms	y
14.0ms	x

Results

Error	Segments	Branch
12.9b	3	`x`
11.9b	3	`y`
7.6b	5	`z`

Compiler

Compiled 30 to 17 computations (43.3% saved)

bsearch175.0ms (3.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	322201.27152140863	47561092317.87389
87.0ms	-1.3356806915062327e+45	-1.353910076079818e+41
43.0ms	-1.6614583791270994e+117	-1.4807852052568936e+109
24.0ms	-1.210914589527331e+213	-5.434285541541807e+203

Compiler

Compiled 458 to 323 computations (29.5% saved)

regimes78.0ms (1.5%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	z
25.0ms	y
20.0ms	x

Results

Error	Segments	Branch
24.2b	4	`x`
26.5b	6	`y`
18.0b	7	`z`

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch227.0ms (4.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
21.0ms	322201.27152140863	47561092317.87389
23.0ms	1.8214945286686675e-37	1.9477151125569574e-37
21.0ms	-2.0124814210696367e-12	-1.7750940350499393e-21
92.0ms	-1.3356806915062327e+45	-1.353910076079818e+41
45.0ms	-1.6614583791270994e+117	-1.4807852052568936e+109
25.0ms	-1.210914589527331e+213	-5.434285541541807e+203

Compiler

Compiled 406 to 297 computations (26.8% saved)

regimes55.0ms (1.1%)

Counts

4 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 y z)

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

Calls

3 calls:

19.0ms	y
18.0ms	z
16.0ms	x

Results

Error	Segments	Branch
25.5b	3	`x`
27.9b	5	`y`
24.6b	3	`z`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch44.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1.8214945286686675e-37	1.9477151125569574e-37
21.0ms	-2.0124814210696367e-12	-1.7750940350499393e-21

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes12.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

3 calls:

4.0ms	y
4.0ms	x
3.0ms	z

Results

Error	Segments	Branch
35.6b	1	`x`
35.6b	1	`y`
35.6b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	229
1	72	229
2	83	229
3	88	229
4	90	229

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 z -9177921750432145408/4294967296) (.f64 (-.f64 y x) z) (if (<=.f64 z 8213280752154060/18446744073709551616) (+.f64 x (.f64 z y)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 y -3860645442371687/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (+.f64 x (.f64 z y)) (if (<=.f64 y 883236939231584256/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 (-.f64 1 z) x) (+.f64 x (*.f64 z y))))
(if (<=.f64 z -1200000000000000041014866695454544046453794200474062917144025235104081217554420038961858379955772457380585637709754023770721583465656185674594226552149684166419914998695857729102324073485142816529102889576835317760) (neg.f64 (.f64 z x)) (if (<=.f64 z -15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (+.f64 x (.f64 z y)) (if (<=.f64 z -1300000000000000035449535754719156735580307456) (neg.f64 (.f64 z x)) (if (<=.f64 z 5535375695656265/17179869184) (+.f64 x (.f64 z y)) (neg.f64 (*.f64 z x))))))
(if (<=.f64 z -550000000000000028631668828524460541800992233685108537158483730220925055301761308746082532243816374302276311394122497946479306582567250221781813101977806073473388900761383478469228149359520344718645919744) (neg.f64 (.f64 z x)) (if (<=.f64 z -15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (.f64 y z) (if (<=.f64 z -1300000000000000035449535754719156735580307456) (neg.f64 (.f64 z x)) (if (<=.f64 z -159445205085442816/79228162514264337593543950336) (.f64 y z) (if (<=.f64 z 2180806439762771/11972621413014756705924586149611790497021399392059392) x (if (<=.f64 z 5535375695656265/17179869184) (.f64 y z) (neg.f64 (.f64 z x))))))))
(if (<=.f64 z -159445205085442816/79228162514264337593543950336) (.f64 y z) (if (<=.f64 z 2180806439762771/11972621413014756705924586149611790497021399392059392) x (.f64 y z)))
x

Outputs
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 z -9177921750432145408/4294967296) (.f64 (-.f64 y x) z) (if (<=.f64 z 8213280752154060/18446744073709551616) (+.f64 x (.f64 z y)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 z -1120351776175799/524288) (.f64 (-.f64 y x) z) (if (<=.f64 z 2053320188038515/4611686018427387904) (+.f64 x (.f64 y z)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 y -3860645442371687/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (+.f64 x (.f64 z y)) (if (<=.f64 y 883236939231584256/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 (-.f64 1 z) x) (+.f64 x (*.f64 z y))))
(if (<=.f64 y -3860645442371687/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (+.f64 x (.f64 y z)) (if (<=.f64 y 107817009183543/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (.f64 x (-.f64 1 z)) (+.f64 x (*.f64 y z))))
(if (<=.f64 z -1200000000000000041014866695454544046453794200474062917144025235104081217554420038961858379955772457380585637709754023770721583465656185674594226552149684166419914998695857729102324073485142816529102889576835317760) (neg.f64 (.f64 z x)) (if (<=.f64 z -15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (+.f64 x (.f64 z y)) (if (<=.f64 z -1300000000000000035449535754719156735580307456) (neg.f64 (.f64 z x)) (if (<=.f64 z 5535375695656265/17179869184) (+.f64 x (.f64 z y)) (neg.f64 (*.f64 z x))))))
(if (<=.f64 z -1200000000000000041014866695454544046453794200474062917144025235104081217554420038961858379955772457380585637709754023770721583465656185674594226552149684166419914998695857729102324073485142816529102889576835317760) (.f64 z (neg.f64 x)) (if (<=.f64 z -15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (+.f64 x (.f64 y z)) (if (<=.f64 z -1300000000000000035449535754719156735580307456) (.f64 z (neg.f64 x)) (if (<=.f64 z 5535375695656265/17179869184) (+.f64 x (.f64 y z)) (*.f64 z (neg.f64 x))))))
(if (<=.f64 z -1200000000000000041014866695454544046453794200474062917144025235104081217554420038961858379955772457380585637709754023770721583465656185674594226552149684166419914998695857729102324073485142816529102889576835317760) (.f64 x (neg.f64 z)) (if (<=.f64 z -15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (+.f64 x (.f64 y z)) (if (<=.f64 z -1300000000000000035449535754719156735580307456) (.f64 x (neg.f64 z)) (if (<=.f64 z 5535375695656265/17179869184) (+.f64 x (.f64 y z)) (*.f64 x (neg.f64 z))))))
(if (<=.f64 z -550000000000000028631668828524460541800992233685108537158483730220925055301761308746082532243816374302276311394122497946479306582567250221781813101977806073473388900761383478469228149359520344718645919744) (neg.f64 (.f64 z x)) (if (<=.f64 z -15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (.f64 y z) (if (<=.f64 z -1300000000000000035449535754719156735580307456) (neg.f64 (.f64 z x)) (if (<=.f64 z -159445205085442816/79228162514264337593543950336) (.f64 y z) (if (<=.f64 z 2180806439762771/11972621413014756705924586149611790497021399392059392) x (if (<=.f64 z 5535375695656265/17179869184) (.f64 y z) (neg.f64 (.f64 z x))))))))
(if (<=.f64 z -550000000000000028631668828524460541800992233685108537158483730220925055301761308746082532243816374302276311394122497946479306582567250221781813101977806073473388900761383478469228149359520344718645919744) (.f64 z (neg.f64 x)) (if (<=.f64 z -15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (.f64 y z) (if (<=.f64 z -1300000000000000035449535754719156735580307456) (.f64 z (neg.f64 x)) (if (<=.f64 z -622832832365011/309485009821345068724781056) (.f64 y z) (if (<=.f64 z 2180806439762771/11972621413014756705924586149611790497021399392059392) x (if (<=.f64 z 5535375695656265/17179869184) (.f64 y z) (.f64 z (neg.f64 x))))))))
(if (<=.f64 z -550000000000000028631668828524460541800992233685108537158483730220925055301761308746082532243816374302276311394122497946479306582567250221781813101977806073473388900761383478469228149359520344718645919744) (.f64 x (neg.f64 z)) (if (<=.f64 z -15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (.f64 y z) (if (<=.f64 z -1300000000000000035449535754719156735580307456) (.f64 x (neg.f64 z)) (if (<=.f64 z -622832832365011/309485009821345068724781056) (.f64 y z) (if (<=.f64 z 2180806439762771/11972621413014756705924586149611790497021399392059392) x (if (<=.f64 z 5535375695656265/17179869184) (.f64 y z) (.f64 x (neg.f64 z))))))))
(if (<=.f64 z -159445205085442816/79228162514264337593543950336) (.f64 y z) (if (<=.f64 z 2180806439762771/11972621413014756705924586149611790497021399392059392) x (.f64 y z)))
(if (<=.f64 z -622832832365011/309485009821345068724781056) (.f64 y z) (if (<=.f64 z 2180806439762771/11972621413014756705924586149611790497021399392059392) x (.f64 y z)))
x

end76.0ms (1.5%)

Stop Event

1×

fuel

Compiler

Compiled 345 to 156 computations (54.8% 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	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

Details

analyze267.0ms (5.1%)

sample1.3s (24.8%)

preprocess77.0ms (1.5%)

simplify22.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series9.0ms (0.2%)

rewrite59.0ms (1.1%)

simplify38.0ms (0.7%)

localize5.0ms (0.1%)

series12.0ms (0.2%)

rewrite45.0ms (0.9%)

simplify32.0ms (0.6%)

eval18.0ms (0.4%)

prune24.0ms (0.5%)

localize3.0ms (0.1%)

series4.0ms (0.1%)

rewrite54.0ms (1%)

simplify19.0ms (0.4%)

localize2.0ms (0%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

simplify8.0ms (0.2%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite87.0ms (1.7%)

simplify15.0ms (0.3%)

localize11.0ms (0.2%)

series35.0ms (0.7%)

rewrite126.0ms (2.4%)

simplify190.0ms (3.7%)

eval273.0ms (5.3%)

prune88.0ms (1.7%)

localize12.0ms (0.2%)

series19.0ms (0.4%)

rewrite90.0ms (1.7%)

simplify157.0ms (3%)

localize8.0ms (0.2%)

series27.0ms (0.5%)

rewrite71.0ms (1.4%)

simplify57.0ms (1.1%)

localize9.0ms (0.2%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite42.0ms (0.8%)

simplify23.0ms (0.4%)

eval153.0ms (2.9%)

prune131.0ms (2.5%)

localize10.0ms (0.2%)

series11.0ms (0.2%)

rewrite82.0ms (1.6%)

simplify81.0ms (1.6%)

localize8.0ms (0.2%)

series6.0ms (0.1%)

rewrite60.0ms (1.2%)

simplify59.0ms (1.1%)

localize4.0ms (0.1%)

eval114.0ms (2.2%)

prune70.0ms (1.3%)

regimes48.0ms (0.9%)

regimes38.0ms (0.7%)

regimes80.0ms (1.5%)

bsearch40.0ms (0.8%)

regimes67.0ms (1.3%)

bsearch42.0ms (0.8%)

regimes61.0ms (1.2%)

bsearch175.0ms (3.4%)

regimes78.0ms (1.5%)

bsearch227.0ms (4.4%)

regimes55.0ms (1.1%)

bsearch44.0ms (0.8%)

regimes12.0ms (0.2%)

simplify12.0ms (0.2%)

end76.0ms (1.5%)

Profiling

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