Details

analyze202.0ms (10.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
39.7%	37.4%	56.9%	0.1%	5.5%	0%	0%	10
46.5%	43.7%	50.3%	0.1%	5.9%	0%	0%	11
55.2%	51.9%	42.1%	0.1%	5.9%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample978.0ms (51.4%)

Results

908.0ms	8256×	body	256	valid
54.0ms	595×	body	256	infinite

Bogosity

preprocess49.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

563×	`fma-def_binary64`
276×	`fma-neg_binary64`
103×	`cancel-sign-sub-inv_binary64`
94×	`associate-r_binary64`
85×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	48	40
2	122	32
3	285	32
4	429	32
5	690	32
6	1281	32
7	1574	32
8	1769	32
9	1802	32
10	1805	32
11	1805	32
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2
1

Call 2

Inputs
(-.f64 x (.f64 (.f64 y 4) z))
(-.f64 y (.f64 (.f64 x 4) z))
(-.f64 z (.f64 (.f64 y 4) x))
(-.f64 x (.f64 (.f64 z 4) y))

Outputs
(-.f64 x (.f64 (.f64 y 4) z))
(-.f64 x (.f64 y (.f64 4 z)))
(+.f64 x (.f64 y (.f64 z -4)))
(fma.f64 z (*.f64 y -4) x)
(fma.f64 y (*.f64 z -4) x)
(-.f64 y (.f64 (.f64 x 4) z))
(-.f64 y (.f64 x (.f64 4 z)))
(+.f64 y (.f64 x (.f64 z -4)))
(fma.f64 x (*.f64 z -4) y)
(fma.f64 z (*.f64 x -4) y)
(-.f64 z (.f64 (.f64 y 4) x))
(-.f64 z (.f64 x (.f64 y 4)))
(+.f64 z (.f64 x (.f64 y -4)))
(fma.f64 x (*.f64 y -4) z)
(-.f64 x (.f64 (.f64 z 4) y))
(-.f64 x (.f64 y (.f64 4 z)))
(+.f64 x (.f64 y (.f64 z -4)))
(fma.f64 z (*.f64 y -4) x)
(fma.f64 y (*.f64 z -4) x)

Symmetry

(sort y z)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify28.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

282×	`fma-def_binary64`
110×	`fma-neg_binary64`
57×	`cancel-sign-sub-inv_binary64`
36×	`distribute-rgt-neg-in_binary64`
27×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y 4) z))

Outputs
(-.f64 x (.f64 (.f64 y 4) z))
(-.f64 x (.f64 y (.f64 4 z)))
(+.f64 x (.f64 z (.f64 y -4)))
(fma.f64 z (*.f64 y -4) x)
(fma.f64 y (*.f64 z -4) x)

eval1.0ms (0%)

Compiler: Compiled 36 to 21 computations (41.7% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fma.f64 z (*.f64 y -4) x)
▶	0.0b	(-.f64 x (.f64 y (.f64 4 z)))

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize10.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 y (.f64 4 z)))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series4.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(-.f64 x (.f64 y (.f64 4 z)))
1.0ms	x	@	0	(-.f64 x (.f64 y (.f64 4 z)))
1.0ms	y	@	0	(-.f64 x (.f64 y (.f64 4 z)))
0.0ms	z	@	inf	(-.f64 x (.f64 y (.f64 4 z)))
0.0ms	y	@	inf	(-.f64 x (.f64 y (.f64 4 z)))

rewrite51.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`pow1_binary64`
865×	`add-log-exp_binary64`
865×	`log1p-expm1-u_binary64`
865×	`expm1-log1p-u_binary64`
848×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2355	10

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 x (.f64 y (.f64 4 z)))

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

Outputs

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

simplify52.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

636×	`fma-def_binary64`
239×	`cancel-sign-sub-inv_binary64`
224×	`fma-neg_binary64`
214×	`unsub-neg_binary64`
213×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	739
1	315	714
2	1269	714
3	5987	714

Stop Event

1×	node limit

Counts

74 → 46

Calls

Call 1

Inputs
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 x (.f64 y (neg.f64 (.f64 4 z))))
(+.f64 x (.f64 (.f64 y (neg.f64 (*.f64 4 z))) 1))
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) (fma.f64 (neg.f64 (.f64 4 z)) y (.f64 y (*.f64 4 z))))
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) (fma.f64 (neg.f64 y) (.f64 4 z) (.f64 y (*.f64 4 z))))
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) (fma.f64 (.f64 y (neg.f64 (.f64 4 z))) 1 (.f64 y (.f64 4 z))))
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 4 z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 4 z))) 2) (.f64 y (.f64 4 z))))
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y (.f64 4 z)))) (sqrt.f64 (.f64 y (.f64 4 z))) (.f64 y (.f64 4 z))))
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) (fma.f64 (neg.f64 z) (.f64 y 4) (.f64 y (*.f64 4 z))))
(+.f64 (.f64 y (neg.f64 (.f64 4 z))) x)
(.f64 (-.f64 x (.f64 y (*.f64 4 z))) 1)
(.f64 1 (-.f64 x (.f64 y (*.f64 4 z))))
(.f64 (cbrt.f64 (-.f64 x (.f64 y (.f64 4 z)))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 y (*.f64 4 z)))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 y (.f64 4 z)))) 2) (cbrt.f64 (-.f64 x (.f64 y (*.f64 4 z)))))
(.f64 (sqrt.f64 (-.f64 x (.f64 y (.f64 4 z)))) (sqrt.f64 (-.f64 x (.f64 y (*.f64 4 z)))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 4 z)) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y (.f64 4 z)) (+.f64 x (.f64 y (.f64 4 z)))))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (.f64 4 z)) 2)) (/.f64 1 (+.f64 x (.f64 y (.f64 4 z)))))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 4 z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (*.f64 4 z)))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y (.f64 4 z)) (+.f64 x (.f64 y (.f64 4 z))))) (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (*.f64 4 z)) 3))))
(/.f64 1 (/.f64 (+.f64 x (.f64 y (.f64 4 z))) (-.f64 (.f64 x x) (pow.f64 (.f64 y (*.f64 4 z)) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 4 z)) 3)) (fma.f64 x x (.f64 (.f64 y (.f64 4 z)) (+.f64 x (.f64 y (*.f64 4 z))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (.f64 4 z)) 2)) (+.f64 x (.f64 y (*.f64 4 z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 4 z)) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 y (.f64 4 z)) (+.f64 x (.f64 y (*.f64 4 z)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (.f64 4 z)) 2))) (neg.f64 (+.f64 x (.f64 y (*.f64 4 z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (neg.f64 (.f64 4 z))) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y (neg.f64 (.f64 4 z))) (.f64 y (neg.f64 (.f64 4 z)))) (.f64 x (.f64 y (neg.f64 (*.f64 4 z)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 (.f64 4 z))) (.f64 y (neg.f64 (.f64 4 z))))) (-.f64 x (.f64 y (neg.f64 (.f64 4 z)))))
(pow.f64 (-.f64 x (.f64 y (.f64 4 z))) 1)
(pow.f64 (pow.f64 (-.f64 x (.f64 y (.f64 4 z))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (.f64 y (.f64 4 z)))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (.f64 y (.f64 4 z)))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (.f64 y (.f64 4 z))) 2))
(log.f64 (exp.f64 (-.f64 x (.f64 y (.f64 4 z)))))
(cbrt.f64 (pow.f64 (-.f64 x (.f64 y (.f64 4 z))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (.f64 y (.f64 4 z)))))
(log1p.f64 (expm1.f64 (-.f64 x (.f64 y (.f64 4 z)))))
(exp.f64 (log.f64 (-.f64 x (.f64 y (.f64 4 z)))))
(fma.f64 1 x (.f64 y (neg.f64 (.f64 4 z))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 y (neg.f64 (.f64 4 z))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y (neg.f64 (.f64 4 z))))

Outputs
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(+.f64 x (.f64 y (neg.f64 (.f64 4 z))))
(fma.f64 -4 (*.f64 y z) x)
(+.f64 x (.f64 (.f64 y (neg.f64 (*.f64 4 z))) 1))
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) (fma.f64 (neg.f64 (.f64 4 z)) y (.f64 y (*.f64 4 z))))
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) (fma.f64 (neg.f64 y) (.f64 4 z) (.f64 y (*.f64 4 z))))
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) (fma.f64 (.f64 y (neg.f64 (.f64 4 z))) 1 (.f64 y (.f64 4 z))))
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 4 z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 4 z))) 2) (.f64 y (.f64 4 z))))
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y (.f64 4 z)))) (sqrt.f64 (.f64 y (.f64 4 z))) (.f64 y (.f64 4 z))))
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) (fma.f64 (neg.f64 z) (.f64 y 4) (.f64 y (*.f64 4 z))))
(fma.f64 -4 (*.f64 y z) x)
(+.f64 (.f64 y (neg.f64 (.f64 4 z))) x)
(fma.f64 -4 (*.f64 y z) x)
(.f64 (-.f64 x (.f64 y (*.f64 4 z))) 1)
(fma.f64 -4 (*.f64 y z) x)
(.f64 1 (-.f64 x (.f64 y (*.f64 4 z))))
(fma.f64 -4 (*.f64 y z) x)
(.f64 (cbrt.f64 (-.f64 x (.f64 y (.f64 4 z)))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 y (*.f64 4 z)))) 2))
(fma.f64 -4 (*.f64 y z) x)
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 y (.f64 4 z)))) 2) (cbrt.f64 (-.f64 x (.f64 y (*.f64 4 z)))))
(fma.f64 -4 (*.f64 y z) x)
(.f64 (sqrt.f64 (-.f64 x (.f64 y (.f64 4 z)))) (sqrt.f64 (-.f64 x (.f64 y (*.f64 4 z)))))
(fma.f64 -4 (*.f64 y z) x)
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 4 z)) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y (.f64 4 z)) (+.f64 x (.f64 y (.f64 4 z)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z 4)) 3)) 1) (fma.f64 x x (.f64 y (.f64 (.f64 z 4) (+.f64 x (.f64 y (.f64 z 4)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -4 (.f64 y z)) 3)) (fma.f64 x x (.f64 y (.f64 4 (.f64 z (fma.f64 (.f64 y 4) z x))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -64 (pow.f64 (.f64 y z) 3))) (fma.f64 (.f64 z 4) (.f64 y (fma.f64 z (.f64 y 4) x)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -64 (pow.f64 (.f64 y z) 3))) (fma.f64 (.f64 z (.f64 y 4)) (fma.f64 z (.f64 y 4) x) (.f64 x x)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (.f64 4 z)) 2)) (/.f64 1 (+.f64 x (.f64 y (.f64 4 z)))))
(fma.f64 -4 (*.f64 y z) x)
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 4 z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (*.f64 4 z)))))
(fma.f64 -4 (*.f64 y z) x)
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y (.f64 4 z)) (+.f64 x (.f64 y (.f64 4 z))))) (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (*.f64 4 z)) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z 4)) 3)) 1) (fma.f64 x x (.f64 y (.f64 (.f64 z 4) (+.f64 x (.f64 y (.f64 z 4)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -4 (.f64 y z)) 3)) (fma.f64 x x (.f64 y (.f64 4 (.f64 z (fma.f64 (.f64 y 4) z x))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -64 (pow.f64 (.f64 y z) 3))) (fma.f64 (.f64 z 4) (.f64 y (fma.f64 z (.f64 y 4) x)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -64 (pow.f64 (.f64 y z) 3))) (fma.f64 (.f64 z (.f64 y 4)) (fma.f64 z (.f64 y 4) x) (.f64 x x)))
(/.f64 1 (/.f64 (+.f64 x (.f64 y (.f64 4 z))) (-.f64 (.f64 x x) (pow.f64 (.f64 y (*.f64 4 z)) 2))))
(fma.f64 -4 (*.f64 y z) x)
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 4 z)) 3)) (fma.f64 x x (.f64 (.f64 y (.f64 4 z)) (+.f64 x (.f64 y (*.f64 4 z))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z 4)) 3)) 1) (fma.f64 x x (.f64 y (.f64 (.f64 z 4) (+.f64 x (.f64 y (.f64 z 4)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -4 (.f64 y z)) 3)) (fma.f64 x x (.f64 y (.f64 4 (.f64 z (fma.f64 (.f64 y 4) z x))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -64 (pow.f64 (.f64 y z) 3))) (fma.f64 (.f64 z 4) (.f64 y (fma.f64 z (.f64 y 4) x)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -64 (pow.f64 (.f64 y z) 3))) (fma.f64 (.f64 z (.f64 y 4)) (fma.f64 z (.f64 y 4) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (.f64 4 z)) 2)) (+.f64 x (.f64 y (*.f64 4 z))))
(fma.f64 -4 (*.f64 y z) x)
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 4 z)) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 y (.f64 4 z)) (+.f64 x (.f64 y (*.f64 4 z)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z 4)) 3)) 1) (fma.f64 x x (.f64 y (.f64 (.f64 z 4) (+.f64 x (.f64 y (.f64 z 4)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -4 (.f64 y z)) 3)) (fma.f64 x x (.f64 y (.f64 4 (.f64 z (fma.f64 (.f64 y 4) z x))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -64 (pow.f64 (.f64 y z) 3))) (fma.f64 (.f64 z 4) (.f64 y (fma.f64 z (.f64 y 4) x)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -64 (pow.f64 (.f64 y z) 3))) (fma.f64 (.f64 z (.f64 y 4)) (fma.f64 z (.f64 y 4) x) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (.f64 4 z)) 2))) (neg.f64 (+.f64 x (.f64 y (*.f64 4 z)))))
(fma.f64 -4 (*.f64 y z) x)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (neg.f64 (.f64 4 z))) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y (neg.f64 (.f64 4 z))) (.f64 y (neg.f64 (.f64 4 z)))) (.f64 x (.f64 y (neg.f64 (*.f64 4 z)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z 4)) 3)) 1) (fma.f64 x x (.f64 y (.f64 (.f64 z 4) (+.f64 x (.f64 y (.f64 z 4)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -4 (.f64 y z)) 3)) (fma.f64 x x (.f64 y (.f64 4 (.f64 z (fma.f64 (.f64 y 4) z x))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -64 (pow.f64 (.f64 y z) 3))) (fma.f64 (.f64 z 4) (.f64 y (fma.f64 z (.f64 y 4) x)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -64 (pow.f64 (.f64 y z) 3))) (fma.f64 (.f64 z (.f64 y 4)) (fma.f64 z (.f64 y 4) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 (.f64 4 z))) (.f64 y (neg.f64 (.f64 4 z))))) (-.f64 x (.f64 y (neg.f64 (.f64 4 z)))))
(fma.f64 -4 (*.f64 y z) x)
(pow.f64 (-.f64 x (.f64 y (.f64 4 z))) 1)
(fma.f64 -4 (*.f64 y z) x)
(pow.f64 (pow.f64 (-.f64 x (.f64 y (.f64 4 z))) 3) 1/3)
(fma.f64 -4 (*.f64 y z) x)
(pow.f64 (cbrt.f64 (-.f64 x (.f64 y (.f64 4 z)))) 3)
(fma.f64 -4 (*.f64 y z) x)
(pow.f64 (sqrt.f64 (-.f64 x (.f64 y (.f64 4 z)))) 2)
(fma.f64 -4 (*.f64 y z) x)
(sqrt.f64 (pow.f64 (-.f64 x (.f64 y (.f64 4 z))) 2))
(fma.f64 -4 (*.f64 y z) x)
(log.f64 (exp.f64 (-.f64 x (.f64 y (.f64 4 z)))))
(fma.f64 -4 (*.f64 y z) x)
(cbrt.f64 (pow.f64 (-.f64 x (.f64 y (.f64 4 z))) 3))
(fma.f64 -4 (*.f64 y z) x)
(expm1.f64 (log1p.f64 (-.f64 x (.f64 y (.f64 4 z)))))
(fma.f64 -4 (*.f64 y z) x)
(log1p.f64 (expm1.f64 (-.f64 x (.f64 y (.f64 4 z)))))
(fma.f64 -4 (*.f64 y z) x)
(exp.f64 (log.f64 (-.f64 x (.f64 y (.f64 4 z)))))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 1 x (.f64 y (neg.f64 (.f64 4 z))))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 y (neg.f64 (.f64 4 z))))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y (neg.f64 (.f64 4 z))))
(fma.f64 -4 (*.f64 y z) x)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 z (*.f64 y -4) x)

Compiler

Compiled 16 to 9 computations (43.8% saved)

series5.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(fma.f64 z (*.f64 y -4) x)
1.0ms	y	@	0	(fma.f64 z (*.f64 y -4) x)
0.0ms	y	@	-inf	(fma.f64 z (*.f64 y -4) x)
0.0ms	z	@	-inf	(fma.f64 z (*.f64 y -4) x)
0.0ms	y	@	inf	(fma.f64 z (*.f64 y -4) x)

rewrite41.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`pow1_binary64`
590×	`add-log-exp_binary64`
590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
577×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	139	8
2	1583	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 z (*.f64 y -4) x)

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

Outputs

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

simplify48.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-neg_binary64`
771×	`times-frac_binary64`
449×	`distribute-rgt-in_binary64`
430×	`distribute-lft-in_binary64`
288×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	462
1	149	459
2	654	454
3	2444	454
4	7988	454

Stop Event

1×	node limit

Counts

57 → 30

Calls

Call 1

Inputs
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 x (.f64 z (.f64 y -4)))
(+.f64 (.f64 z (.f64 y -4)) x)
(+.f64 (.f64 (.f64 z (*.f64 y -4)) 1) x)
(-.f64 (+.f64 1 (fma.f64 z (*.f64 y -4) x)) 1)
(.f64 (fma.f64 z (.f64 y -4) x) 1)
(.f64 1 (fma.f64 z (.f64 y -4) x))
(.f64 (cbrt.f64 (fma.f64 z (.f64 y -4) x)) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y -4) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (.f64 y -4) x)) 2) (cbrt.f64 (fma.f64 z (*.f64 y -4) x)))
(.f64 (sqrt.f64 (fma.f64 z (.f64 y -4) x)) (sqrt.f64 (fma.f64 z (*.f64 y -4) x)))
(/.f64 (+.f64 (pow.f64 (.f64 z (.f64 y -4)) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 z (.f64 y -4)) (.f64 z (.f64 y -4))) (-.f64 (.f64 x x) (.f64 (.f64 z (*.f64 y -4)) x))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 y -4)) (.f64 z (.f64 y -4))) (.f64 x x)) (-.f64 (.f64 z (.f64 y -4)) x))
(pow.f64 (fma.f64 z (*.f64 y -4) x) 1)
(pow.f64 (pow.f64 (fma.f64 z (*.f64 y -4) x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y -4) x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (*.f64 y -4) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y -4) x) 2))
(log.f64 (exp.f64 (fma.f64 z (*.f64 y -4) x)))
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y -4) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y -4) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y -4) x)))
(exp.f64 (log.f64 (fma.f64 z (*.f64 y -4) x)))

Outputs
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 x (.f64 z (.f64 y -4)))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 z (.f64 y -4)) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(+.f64 (.f64 (.f64 z (*.f64 y -4)) 1) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(-.f64 (+.f64 1 (fma.f64 z (*.f64 y -4) x)) 1)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(.f64 (fma.f64 z (.f64 y -4) x) 1)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(.f64 1 (fma.f64 z (.f64 y -4) x))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(.f64 (cbrt.f64 (fma.f64 z (.f64 y -4) x)) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y -4) x)) 2))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (.f64 y -4) x)) 2) (cbrt.f64 (fma.f64 z (*.f64 y -4) x)))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(.f64 (sqrt.f64 (fma.f64 z (.f64 y -4) x)) (sqrt.f64 (fma.f64 z (*.f64 y -4) x)))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(/.f64 (+.f64 (pow.f64 (.f64 z (.f64 y -4)) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 z (.f64 y -4)) (.f64 z (.f64 y -4))) (-.f64 (.f64 x x) (.f64 (.f64 z (*.f64 y -4)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 -4 (.f64 y z)) 3) (pow.f64 x 3)) (fma.f64 (.f64 -4 (.f64 y z)) (.f64 -4 (.f64 y z)) (.f64 x (-.f64 x (.f64 -4 (*.f64 y z))))))
(/.f64 (+.f64 (.f64 -64 (pow.f64 (.f64 y z) 3)) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 -4 (.f64 y z))) (.f64 z (.f64 z (.f64 16 (.f64 y y))))))
(/.f64 (fma.f64 -64 (pow.f64 (.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 -4 (.f64 y z)) (fma.f64 -4 (*.f64 y z) (neg.f64 x)))))
(/.f64 (fma.f64 -64 (pow.f64 (.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 -4 (.f64 y z)) (-.f64 (.f64 -4 (.f64 y z)) x))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 y -4)) (.f64 z (.f64 y -4))) (.f64 x x)) (-.f64 (.f64 z (.f64 y -4)) x))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(pow.f64 (fma.f64 z (*.f64 y -4) x) 1)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(pow.f64 (pow.f64 (fma.f64 z (*.f64 y -4) x) 3) 1/3)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y -4) x)) 3)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(pow.f64 (sqrt.f64 (fma.f64 z (*.f64 y -4) x)) 2)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y -4) x) 2))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(log.f64 (exp.f64 (fma.f64 z (*.f64 y -4) x)))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y -4) x) 3))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y -4) x)))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y -4) x)))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)
(exp.f64 (log.f64 (fma.f64 z (*.f64 y -4) x)))
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 -4 y) x)

eval44.0ms (2.3%)

Compiler: Compiled 1162 to 724 computations (37.7% saved)

prune11.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	74	4	78

Error

Counts

78 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 z (*.f64 y -4) x)
✓	0.0b	(-.f64 x (.f64 y (.f64 4 z)))
▶	39.1b	(.f64 -4 (.f64 y z))
	23.5b	x

Compiler

Compiled 31 to 22 computations (29% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -4 (.f64 y z))

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 -4 (.f64 y z))
0.0ms	z	@	0	(.f64 -4 (.f64 y z))
0.0ms	y	@	inf	(.f64 -4 (.f64 y z))
0.0ms	z	@	inf	(.f64 -4 (.f64 y z))
0.0ms	y	@	-inf	(.f64 -4 (.f64 y z))

rewrite38.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
513×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
503×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1396	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 -4 (.f64 y z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4 (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (*.f64 y z))))))))

simplify35.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1025×	`log-prod_binary64`
460×	`distribute-rgt-in_binary64`
447×	`distribute-lft-in_binary64`
416×	`*-commutative_binary64`
379×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	143
1	85	110
2	321	77
3	2198	77
4	6515	77

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 -4 (.f64 y z))) 1)
(pow.f64 (.f64 -4 (.f64 y z)) 1)
(pow.f64 (pow.f64 (.f64 -4 (.f64 y z)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 -4 (.f64 y z))) 3)
(pow.f64 (sqrt.f64 (.f64 -4 (.f64 y z))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 y z) 2) 16))
(log.f64 (pow.f64 (exp.f64 -4) (*.f64 y z)))
(cbrt.f64 (pow.f64 (.f64 -4 (.f64 y z)) 3))
(expm1.f64 (log1p.f64 (.f64 -4 (.f64 y z))))
(log1p.f64 (expm1.f64 (.f64 -4 (.f64 y z))))
(exp.f64 (log.f64 (.f64 -4 (.f64 y z))))

Outputs
(-.f64 (+.f64 1 (.f64 -4 (.f64 y z))) 1)
(+.f64 (+.f64 1 (.f64 -4 (.f64 y z))) -1)
(+.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(pow.f64 (.f64 -4 (.f64 y z)) 1)
(+.f64 (+.f64 1 (.f64 -4 (.f64 y z))) -1)
(+.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(pow.f64 (pow.f64 (.f64 -4 (.f64 y z)) 3) 1/3)
(+.f64 (+.f64 1 (.f64 -4 (.f64 y z))) -1)
(+.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(pow.f64 (cbrt.f64 (.f64 -4 (.f64 y z))) 3)
(+.f64 (+.f64 1 (.f64 -4 (.f64 y z))) -1)
(+.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(pow.f64 (sqrt.f64 (.f64 -4 (.f64 y z))) 2)
(+.f64 (+.f64 1 (.f64 -4 (.f64 y z))) -1)
(+.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(sqrt.f64 (.f64 (pow.f64 (.f64 y z) 2) 16))
(+.f64 (+.f64 1 (.f64 -4 (.f64 y z))) -1)
(+.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(log.f64 (pow.f64 (exp.f64 -4) (*.f64 y z)))
(+.f64 (+.f64 1 (.f64 -4 (.f64 y z))) -1)
(+.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(cbrt.f64 (pow.f64 (.f64 -4 (.f64 y z)) 3))
(+.f64 (+.f64 1 (.f64 -4 (.f64 y z))) -1)
(+.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(expm1.f64 (log1p.f64 (.f64 -4 (.f64 y z))))
(+.f64 (+.f64 1 (.f64 -4 (.f64 y z))) -1)
(+.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(log1p.f64 (expm1.f64 (.f64 -4 (.f64 y z))))
(+.f64 (+.f64 1 (.f64 -4 (.f64 y z))) -1)
(+.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(exp.f64 (log.f64 (.f64 -4 (.f64 y z))))
(+.f64 (+.f64 1 (.f64 -4 (.f64 y z))) -1)
(+.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))

eval3.0ms (0.1%)

Compiler: Compiled 109 to 68 computations (37.6% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	14	4	18

Error

Counts

18 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 z (*.f64 y -4) x)
✓	0.0b	(-.f64 x (.f64 y (.f64 4 z)))
✓	39.1b	(.f64 -4 (.f64 y z))
	23.5b	x

Compiler

Compiled 31 to 22 computations (29% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 z (*.f64 y -4) x)
✓	0.0b	(-.f64 x (.f64 y (.f64 4 z)))
✓	39.1b	(.f64 -4 (.f64 y z))
	23.5b	x

Compiler

Compiled 31 to 22 computations (29% saved)

eval0.0ms (0%)

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

prune30.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 z (*.f64 y -4) x)
✓	0.0b	(-.f64 x (.f64 y (.f64 4 z)))
✓	39.1b	(.f64 -4 (.f64 y z))
	23.5b	x

Compiler

Compiled 31 to 22 computations (29% saved)

regimes40.0ms (2.1%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(.f64 -4 (.f64 y z))
(-.f64 x (.f64 y (.f64 4 z)))
(-.f64 x (.f64 (.f64 y 4) z))
(fma.f64 z (*.f64 y -4) x)

Outputs
(-.f64 x (.f64 y (.f64 4 z)))

Calls

8 calls:

7.0ms	(-.f64 x (.f64 (.f64 y 4) z))
7.0ms	(*.f64 y 4)
5.0ms	y
4.0ms	(*.f64 y 4)
4.0ms	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 4) z))`
0.0b	1	`(.f64 (.f64 y 4) z)`
0.0b	1	`(.f64 (.f64 y 4) z)`
0.0b	1	`(*.f64 y 4)`
0.0b	1	`(*.f64 y 4)`

Compiler

Compiled 79 to 55 computations (30.4% saved)

regimes78.0ms (4.1%)

Accuracy

Total -50.0b remaining (-423.7%)

Threshold costs -50.0b (-423.7%)

Counts

2 → 5

Calls

Call 1

Inputs
x
(.f64 -4 (.f64 y z))

Outputs
x
(.f64 -4 (.f64 y z))
x
(.f64 -4 (.f64 y z))
x

Calls

3 calls:

45.0ms	y
19.0ms	z
13.0ms	x

Results

Error	Segments	Branch
11.8b	5	`x`
17.7b	5	`y`
15.8b	7	`z`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch54.0ms (2.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	1.9804857802126296e-57	5.831241072544255e-49
14.0ms	9.912748426377825e-177	2.13788694794524e-168
13.0ms	2.3786869976262494e-203	6.119767312258193e-200
11.0ms	-2.0012325142096025e-122	-5.127158503702862e-124

Results

48.0ms

528×

body

256

valid

Compiler

Compiled 478 to 375 computations (21.5% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`distribute-rgt-neg-in_binary64`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	52
1	33	52
2	45	52
3	57	52
4	63	52
5	66	52
6	67	52

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(-.f64 x (*.f64 y (*.f64 4 z)))

(if (<=.f64 x -1488565707357403/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) x (if (<=.f64 x 5170923996658113/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (*.f64 -4 (*.f64 y z)) (if (<=.f64 x 178220336625867/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) x (if (<=.f64 x 5265614583427859/210624583337114373395836055367340864637790190801098222508621955072) (*.f64 -4 (*.f64 y z)) x))))

Outputs
(-.f64 x (.f64 y (.f64 4 z)))
(+.f64 x (.f64 y (.f64 z -4)))
(if (<=.f64 x -1488565707357403/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) x (if (<=.f64 x 5170923996658113/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (.f64 -4 (.f64 y z)) (if (<=.f64 x 178220336625867/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) x (if (<=.f64 x 5265614583427859/210624583337114373395836055367340864637790190801098222508621955072) (.f64 -4 (.f64 y z)) x))))
x

Compiler

Compiled 46 to 30 computations (34.8% saved)

soundness39.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

282×	`fma-def_binary64`
110×	`fma-neg_binary64`
57×	`cancel-sign-sub-inv_binary64`
36×	`distribute-rgt-neg-in_binary64`
27×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Stop Event

1×

saturated

Compiler

Compiled 20 to 14 computations (30% saved)

end36.0ms (1.9%)

Remove: (sort y z)
Compiler: Compiled 60 to 38 computations (36.7% saved)

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Details

analyze202.0ms (10.6%)

sample978.0ms (51.4%)

preprocess49.0ms (2.6%)

simplify28.0ms (1.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize10.0ms (0.5%)

series4.0ms (0.2%)

rewrite51.0ms (2.7%)

simplify52.0ms (2.7%)

localize6.0ms (0.3%)

series5.0ms (0.3%)

rewrite41.0ms (2.1%)

simplify48.0ms (2.5%)

eval44.0ms (2.3%)

prune11.0ms (0.6%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite38.0ms (2%)

simplify35.0ms (1.9%)

eval3.0ms (0.1%)

prune3.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune30.0ms (1.6%)

regimes40.0ms (2.1%)

regimes78.0ms (4.1%)

bsearch54.0ms (2.8%)

simplify5.0ms (0.3%)

soundness39.0ms (2.1%)

end36.0ms (1.9%)

Profiling

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8