Details

analyze219.0ms (9.8%)

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
26.2%	25%	70.2%	0.1%	4.7%	0%	0%	9
39.7%	37.4%	56.9%	0.1%	5.5%	0%	0%	10
47.1%	44.5%	49.9%	0.1%	5.5%	0%	0%	11
54.9%	50.3%	41.3%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample852.0ms (38%)

Results

805.0ms	8256×	body	256	valid
34.0ms	396×	body	256	infinite

Bogosity

preprocess52.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

447×	`fma-def_binary64`
313×	`fma-neg_binary64`
108×	`distribute-rgt-neg-in_binary64`
90×	`cancel-sign-sub-inv_binary64`
84×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	40	40
2	75	40
3	110	40
4	197	40
5	336	40
6	684	40
7	1441	40
8	1652	40
9	1706	40
10	1709	40
11	1709	40
12	1709	40
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 (.f64 y 3) x) z)
(-.f64 (.f64 (.f64 z 3) y) x)
(-.f64 (.f64 (.f64 x 3) z) y)

Outputs
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(fma.f64 3 (*.f64 x y) (neg.f64 z))
(-.f64 (.f64 (.f64 y 3) x) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(fma.f64 3 (*.f64 x y) (neg.f64 z))
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 (.f64 z 3) y) x)
(fma.f64 (*.f64 3 z) y (neg.f64 x))
(-.f64 (.f64 (.f64 y z) 3) x)
(fma.f64 3 (*.f64 y z) (neg.f64 x))
(-.f64 (.f64 y (.f64 3 z)) x)
(-.f64 (.f64 z (.f64 3 y)) x)
(-.f64 (.f64 (.f64 x 3) z) y)
(-.f64 (.f64 3 (.f64 x z)) y)
(fma.f64 3 (*.f64 x z) (neg.f64 y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify21.0ms (1%)

Algorithm

1×	egg-herbie

Rules

192×	`fma-def_binary64`
125×	`fma-neg_binary64`
44×	`distribute-rgt-neg-in_binary64`
37×	`cancel-sign-sub-inv_binary64`
27×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	422	10
8	579	10
9	698	10
10	748	10
11	750	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x 3) y) z)

Outputs
(-.f64 (.f64 (.f64 x 3) y) z)
(-.f64 (.f64 x (.f64 3 y)) z)

eval1.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0.1%)

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
▶	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
▶	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)

Compiler

Compiled 20 to 14 computations (30% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x (.f64 3 y)) z)
✓	0.3b	(.f64 x (.f64 3 y))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series53.0ms (2.4%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
47.0ms	y	@	inf	(.f64 x (.f64 3 y))
1.0ms	y	@	0	(.f64 x (.f64 3 y))
1.0ms	x	@	inf	(.f64 x (.f64 3 y))
1.0ms	x	@	0	(.f64 x (.f64 3 y))
0.0ms	y	@	-inf	(.f64 x (.f64 3 y))

rewrite49.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`pow1_binary64`
833×	`add-log-exp_binary64`
833×	`log1p-expm1-u_binary64`
833×	`expm1-log1p-u_binary64`
816×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	17
2	2245	17

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(.f64 x (.f64 3 y))
(-.f64 (.f64 x (.f64 3 y)) z)

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

Outputs

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

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

simplify56.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

533×	`fma-def_binary64`
390×	`log-prod_binary64`
378×	`fma-neg_binary64`
292×	`cancel-sign-sub-inv_binary64`
287×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	1227
1	319	1187
2	1389	1187
3	6921	1187

Stop Event

1×	node limit

Counts

109 → 64

Calls

Call 1

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

Outputs
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(-.f64 (+.f64 1 (.f64 x (.f64 3 y))) 1)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (.f64 x (.f64 3 y)) 1)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) 1/3)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(exp.f64 (log.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 x (.f64 3 y)) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 x (.f64 3 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (-.f64 (.f64 x (.f64 3 y)) z) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (-.f64 (.f64 x (.f64 3 y)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (-.f64 (.f64 x (.f64 3 y)) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (neg.f64 z) (.f64 x (.f64 3 y)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 1)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 1 (-.f64 (.f64 x (*.f64 3 y)) z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 3 y)) z)) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (*.f64 3 y)) z)) 2))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 3 y)) z)) 2) (cbrt.f64 (-.f64 (.f64 x (*.f64 3 y)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 3 y)) z)) (sqrt.f64 (-.f64 (.f64 x (*.f64 3 y)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z (fma.f64 (*.f64 x 3) y z)))))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (*.f64 3 x) y z)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 y (*.f64 3 x)) 2)))
(/.f64 (-.f64 (.f64 27 (pow.f64 (.f64 y x) 3)) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 y (.f64 3 x)) (fma.f64 3 (.f64 y x) z))))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z)) (/.f64 1 (fma.f64 (*.f64 x 3) y z)))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 (*.f64 3 x) y z)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 3 y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 x (*.f64 3 y))) (sqrt.f64 z)))
(.f64 (+.f64 (sqrt.f64 (.f64 3 (.f64 y x))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 3 (*.f64 y x))) (sqrt.f64 z)))
(.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 y (.f64 3 x)))) (-.f64 (sqrt.f64 (.f64 y (*.f64 3 x))) (sqrt.f64 z)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z (fma.f64 (.f64 x 3) y z))) (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (pow.f64 z 3))))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (*.f64 3 x) y z)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 y (*.f64 3 x)) 2)))
(/.f64 (-.f64 (.f64 27 (pow.f64 (.f64 y x) 3)) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 y (.f64 3 x)) (fma.f64 3 (.f64 y x) z))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x 3) y z) (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z))))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 (*.f64 3 x) y z)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z (fma.f64 (.f64 x 3) y z))))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (*.f64 3 x) y z)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 y (*.f64 3 x)) 2)))
(/.f64 (-.f64 (.f64 27 (pow.f64 (.f64 y x) 3)) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 y (.f64 3 x)) (fma.f64 3 (.f64 y x) z))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z)) (fma.f64 (.f64 x 3) y z))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 (*.f64 3 x) y z)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z (fma.f64 (.f64 x 3) y z)))))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (*.f64 3 x) y z)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 y (*.f64 3 x)) 2)))
(/.f64 (-.f64 (.f64 27 (pow.f64 (.f64 y x) 3)) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 y (.f64 3 x)) (fma.f64 3 (.f64 y x) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z))) (neg.f64 (fma.f64 (.f64 x 3) y z)))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 (*.f64 3 x) y z)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (.f64 x (.f64 3 y)) (neg.f64 z)))))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (*.f64 3 x) y z)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 y (*.f64 3 x)) 2)))
(/.f64 (-.f64 (.f64 27 (pow.f64 (.f64 y x) 3)) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 y (.f64 3 x)) (fma.f64 3 (.f64 y x) z))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (.f64 x (*.f64 3 y)) (neg.f64 z)))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 (*.f64 3 x) y z)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(pow.f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(pow.f64 (pow.f64 (-.f64 (.f64 x (.f64 3 y)) z) 3) 1/3)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 3 y)) z)) 3)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 3 y)) z)) 2)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(sqrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 3 y)) z) 2))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(log.f64 (exp.f64 (-.f64 (.f64 x (.f64 3 y)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 3 y)) z) 3))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(expm1.f64 (log1p.f64 (-.f64 (.f64 x (.f64 3 y)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(log1p.f64 (expm1.f64 (-.f64 (.f64 x (.f64 3 y)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(exp.f64 (log.f64 (-.f64 (.f64 x (.f64 3 y)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(fma.f64 1 (.f64 x (.f64 3 y)) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) (cbrt.f64 (.f64 x (.f64 3 y))) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(fma.f64 (sqrt.f64 (.f64 x (.f64 3 y))) (sqrt.f64 (.f64 x (.f64 3 y))) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)

localize26.0ms (1.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.2b	(.f64 (.f64 x 3) y)

Compiler

Compiled 22 to 13 computations (40.9% saved)

series4.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x 3) y)
0.0ms	z	@	inf	(-.f64 (.f64 (.f64 x 3) y) z)
0.0ms	x	@	inf	(.f64 (.f64 x 3) y)
0.0ms	x	@	-inf	(.f64 (.f64 x 3) y)
0.0ms	y	@	-inf	(.f64 (.f64 x 3) y)

rewrite50.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

899×	`pow1_binary64`
832×	`add-log-exp_binary64`
832×	`log1p-expm1-u_binary64`
832×	`expm1-log1p-u_binary64`
815×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	17
2	2243	17

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(.f64 (.f64 x 3) y)
(-.f64 (.f64 (.f64 x 3) y) z)

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

Outputs

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

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

simplify56.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

533×	`fma-def_binary64`
387×	`log-prod_binary64`
378×	`fma-neg_binary64`
292×	`cancel-sign-sub-inv_binary64`
287×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	122	1227
1	315	1187
2	1382	1187
3	7043	1187

Stop Event

1×	node limit

Counts

109 → 65

Calls

Call 1

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

Outputs
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
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(fma.f64 3 (*.f64 y x) (neg.f64 z))
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(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 3 (.f64 y x))
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(-.f64 (.f64 y (.f64 3 x)) z)
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(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
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(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(*.f64 -1 z)
(neg.f64 z)
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(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
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(fma.f64 3 (*.f64 y x) (neg.f64 z))
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(-.f64 (.f64 y (.f64 3 x)) z)
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(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
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(neg.f64 z)
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(fma.f64 3 (*.f64 y x) (neg.f64 z))
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(-.f64 (.f64 y (.f64 3 x)) z)
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(fma.f64 3 (*.f64 y x) (neg.f64 z))
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(-.f64 (.f64 y (.f64 3 x)) z)
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(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(-.f64 (+.f64 1 (.f64 x (.f64 3 y))) 1)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (.f64 x (.f64 3 y)) 1)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 3 y))) 2)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(pow.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) 1/3)
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 2))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
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(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(exp.f64 (log.f64 (.f64 x (.f64 3 y))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(+.f64 (.f64 x (.f64 3 y)) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (.f64 x (.f64 3 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(+.f64 (-.f64 (.f64 x (.f64 3 y)) z) (fma.f64 (neg.f64 z) 1 z))
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(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
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(-.f64 (.f64 y (.f64 3 x)) z)
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(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 (-.f64 (.f64 x (*.f64 3 y)) z) 1)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 1 (-.f64 (.f64 x (*.f64 3 y)) z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 3 y)) z)) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (*.f64 3 y)) z)) 2))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 3 y)) z)) 2) (cbrt.f64 (-.f64 (.f64 x (*.f64 3 y)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 3 y)) z)) (sqrt.f64 (-.f64 (.f64 x (*.f64 3 y)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z (fma.f64 x (*.f64 3 y) z)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 x (*.f64 3 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 x (.f64 3 y) z) (pow.f64 (.f64 y (*.f64 3 x)) 2)))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (neg.f64 (pow.f64 z 3))) (fma.f64 z z (.f64 (.f64 y (.f64 3 x)) (fma.f64 x (*.f64 3 y) z))))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z)) (/.f64 1 (fma.f64 x (*.f64 3 y) z)))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 x (*.f64 3 y) z)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 2) (.f64 z z)) (fma.f64 x (.f64 3 y) z))
(.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 3 y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 x (*.f64 3 y))) (sqrt.f64 z)))
(.f64 (+.f64 (sqrt.f64 (.f64 3 (.f64 y x))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 3 (*.f64 y x))) (sqrt.f64 z)))
(.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 y (.f64 3 x)))) (-.f64 (sqrt.f64 (.f64 y (*.f64 3 x))) (sqrt.f64 z)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z (fma.f64 x (.f64 3 y) z))) (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (pow.f64 z 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 x (*.f64 3 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 x (.f64 3 y) z) (pow.f64 (.f64 y (*.f64 3 x)) 2)))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (neg.f64 (pow.f64 z 3))) (fma.f64 z z (.f64 (.f64 y (.f64 3 x)) (fma.f64 x (*.f64 3 y) z))))
(/.f64 1 (/.f64 (fma.f64 x (.f64 3 y) z) (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z))))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 x (*.f64 3 y) z)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 2) (.f64 z z)) (fma.f64 x (.f64 3 y) z))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z (fma.f64 x (.f64 3 y) z))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 x (*.f64 3 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 x (.f64 3 y) z) (pow.f64 (.f64 y (*.f64 3 x)) 2)))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (neg.f64 (pow.f64 z 3))) (fma.f64 z z (.f64 (.f64 y (.f64 3 x)) (fma.f64 x (*.f64 3 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z)) (fma.f64 x (.f64 3 y) z))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 x (*.f64 3 y) z)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 2) (.f64 z z)) (fma.f64 x (.f64 3 y) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z (fma.f64 x (.f64 3 y) z)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 x (*.f64 3 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 x (.f64 3 y) z) (pow.f64 (.f64 y (*.f64 3 x)) 2)))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (neg.f64 (pow.f64 z 3))) (fma.f64 z z (.f64 (.f64 y (.f64 3 x)) (fma.f64 x (*.f64 3 y) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z))) (neg.f64 (fma.f64 x (.f64 3 y) z)))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 x (*.f64 3 y) z)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 2) (.f64 z z)) (fma.f64 x (.f64 3 y) z))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (.f64 x (.f64 3 y)) (neg.f64 z)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 x (*.f64 3 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 x (.f64 3 y) z) (pow.f64 (.f64 y (*.f64 3 x)) 2)))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (neg.f64 (pow.f64 z 3))) (fma.f64 z z (.f64 (.f64 y (.f64 3 x)) (fma.f64 x (*.f64 3 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (.f64 x (*.f64 3 y)) (neg.f64 z)))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 x (*.f64 3 y) z)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 3 x)) 2) (.f64 z z)) (fma.f64 x (.f64 3 y) z))
(pow.f64 (-.f64 (.f64 x (.f64 3 y)) z) 1)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(pow.f64 (pow.f64 (-.f64 (.f64 x (.f64 3 y)) z) 3) 1/3)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 3 y)) z)) 3)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 3 y)) z)) 2)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(sqrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 3 y)) z) 2))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(log.f64 (exp.f64 (-.f64 (.f64 x (.f64 3 y)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 3 y)) z) 3))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(expm1.f64 (log1p.f64 (-.f64 (.f64 x (.f64 3 y)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(log1p.f64 (expm1.f64 (-.f64 (.f64 x (.f64 3 y)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(exp.f64 (log.f64 (-.f64 (.f64 x (.f64 3 y)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(fma.f64 (*.f64 x 3) y (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(fma.f64 y (*.f64 x 3) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(fma.f64 1 (.f64 x (.f64 3 y)) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 2) (cbrt.f64 (.f64 x (.f64 3 y))) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)
(fma.f64 (sqrt.f64 (.f64 x (.f64 3 y))) (sqrt.f64 (.f64 x (.f64 3 y))) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 y (*.f64 3 x) (neg.f64 z))
(-.f64 (.f64 y (.f64 3 x)) z)

eval33.0ms (1.5%)

Compiler: Compiled 1794 to 1104 computations (38.5% saved)

prune13.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	126	5	131

Error

Counts

131 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 3 (*.f64 y x) (neg.f64 z))
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 x (.f64 3 y)) z)
▶	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)
▶	26.5b	(neg.f64 z)

Compiler

Compiled 45 to 32 computations (28.9% saved)

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 3 (.f64 y x)) z)
✓	0.3b	(.f64 3 (.f64 y x))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series3.0ms (0.2%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 3 (.f64 y x))
0.0ms	y	@	-inf	(.f64 3 (.f64 y x))
0.0ms	y	@	inf	(.f64 3 (.f64 y x))
0.0ms	x	@	-inf	(.f64 3 (.f64 y x))
0.0ms	y	@	-inf	(-.f64 (.f64 3 (.f64 y x)) z)

rewrite51.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary64`
835×	`add-log-exp_binary64`
835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
818×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	17
2	2252	17

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))
(-.f64 (.f64 3 (.f64 y x)) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 y x)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (*.f64 3 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 3 (*.f64 y x)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 3 (*.f64 y x)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 3 (*.f64 y x)) z)) 2) (cbrt.f64 (-.f64 (*.f64 3 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 3 (*.f64 y x)) z)) (sqrt.f64 (-.f64 (*.f64 3 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2) (*.f64 z (fma.f64 (*.f64 3 y) x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 (*.f64 3 y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2) (*.f64 z (fma.f64 (*.f64 3 y) x z))) (-.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 3 y) x z) (-.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2) (*.f64 z (fma.f64 (*.f64 3 y) x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2) (*.f64 z z)) (fma.f64 (*.f64 3 y) x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2) (*.f64 z (fma.f64 (*.f64 3 y) x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2) (*.f64 z z))) (neg.f64 (fma.f64 (*.f64 3 y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 3 (*.f64 y x)) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (*.f64 3 (*.f64 y x)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 3 (*.f64 y x)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 3 (*.f64 y x)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 3 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 3 (*.f64 y x)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 3 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 3 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 3 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 y x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 3 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (*.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 2) (cbrt.f64 (*.f64 3 (*.f64 y x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) (sqrt.f64 (*.f64 3 (*.f64 y x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 y) x (neg.f64 z))))))

simplify51.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

957×	`div-sub_binary64`
489×	`fma-def_binary64`
291×	`fma-neg_binary64`
246×	`log-prod_binary64`
195×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	1069
1	320	1029
2	1269	1029
3	5377	1029

Stop Event

1×	node limit

Counts

85 → 64

Calls

Call 1

Inputs
(*.f64 -1 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(*.f64 -1 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(*.f64 -1 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(*.f64 -1 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (+.f64 1 (.f64 3 (.f64 y x))) 1)
(pow.f64 (.f64 3 (.f64 y x)) 1)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 3)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y x))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) 1/3)
(sqrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) 3) 27))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y x))))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y x))))
(exp.f64 (log.f64 (.f64 3 (.f64 y x))))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 (neg.f64 z) 1))
(+.f64 (-.f64 (.f64 3 (.f64 y x)) z) (fma.f64 (neg.f64 z) 1 z))
(+.f64 (-.f64 (.f64 3 (.f64 y x)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(+.f64 (-.f64 (.f64 3 (.f64 y x)) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (neg.f64 z) (.f64 3 (.f64 y x)))
(.f64 (-.f64 (.f64 3 (*.f64 y x)) z) 1)
(.f64 1 (-.f64 (.f64 3 (*.f64 y x)) z))
(.f64 (cbrt.f64 (-.f64 (.f64 3 (.f64 y x)) z)) (pow.f64 (cbrt.f64 (-.f64 (.f64 3 (*.f64 y x)) z)) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 3 (.f64 y x)) z)) 2) (cbrt.f64 (-.f64 (.f64 3 (*.f64 y x)) z)))
(.f64 (sqrt.f64 (-.f64 (.f64 3 (.f64 y x)) z)) (sqrt.f64 (-.f64 (.f64 3 (*.f64 y x)) z)))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (*.f64 3 y) x z)))))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 (*.f64 3 y) x z)))
(.f64 (+.f64 (sqrt.f64 (.f64 3 (.f64 y x))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 3 (*.f64 y x))) (sqrt.f64 z)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (.f64 3 y) x z))) (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3))))
(/.f64 1 (/.f64 (fma.f64 (.f64 3 y) x z) (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (.f64 3 y) x z))))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (fma.f64 (.f64 3 y) x z))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (.f64 3 y) x z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z))) (neg.f64 (fma.f64 (.f64 3 y) x z)))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (.f64 3 (.f64 y x)) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (.f64 3 (*.f64 y x)) (neg.f64 z)))
(pow.f64 (-.f64 (.f64 3 (.f64 y x)) z) 1)
(pow.f64 (pow.f64 (-.f64 (.f64 3 (.f64 y x)) z) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (.f64 3 (.f64 y x)) z)) 3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 3 (.f64 y x)) z)) 2)
(sqrt.f64 (pow.f64 (-.f64 (.f64 3 (.f64 y x)) z) 2))
(log.f64 (exp.f64 (-.f64 (.f64 3 (.f64 y x)) z)))
(cbrt.f64 (pow.f64 (-.f64 (.f64 3 (.f64 y x)) z) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 3 (.f64 y x)) z)))
(log1p.f64 (expm1.f64 (-.f64 (.f64 3 (.f64 y x)) z)))
(exp.f64 (log.f64 (-.f64 (.f64 3 (.f64 y x)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 y x) 3 (neg.f64 z))
(fma.f64 1 (.f64 3 (.f64 y x)) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 2) (cbrt.f64 (.f64 3 (.f64 y x))) (neg.f64 z))
(fma.f64 (sqrt.f64 (.f64 3 (.f64 y x))) (sqrt.f64 (.f64 3 (.f64 y x))) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))

Outputs
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(-.f64 (+.f64 1 (.f64 3 (.f64 y x))) 1)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(pow.f64 (.f64 3 (.f64 y x)) 1)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 3)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 y x))) 2)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(pow.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) 3) 27))
(sqrt.f64 (pow.f64 (.f64 3 (.f64 y x)) 2))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) 3))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) 3) 27))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 y x))))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 y x))))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(exp.f64 (log.f64 (.f64 3 (.f64 y x))))
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(+.f64 (.f64 3 (.f64 y x)) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 (neg.f64 z) 1))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (-.f64 (.f64 3 (.f64 y x)) z) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (-.f64 (.f64 3 (.f64 y x)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (-.f64 (.f64 3 (.f64 y x)) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(+.f64 (neg.f64 z) (.f64 3 (.f64 y x)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(.f64 (-.f64 (.f64 3 (*.f64 y x)) z) 1)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(.f64 1 (-.f64 (.f64 3 (*.f64 y x)) z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(.f64 (cbrt.f64 (-.f64 (.f64 3 (.f64 y x)) z)) (pow.f64 (cbrt.f64 (-.f64 (.f64 3 (*.f64 y x)) z)) 2))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 3 (.f64 y x)) z)) 2) (cbrt.f64 (-.f64 (.f64 3 (*.f64 y x)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(.f64 (sqrt.f64 (-.f64 (.f64 3 (.f64 y x)) z)) (sqrt.f64 (-.f64 (.f64 3 (*.f64 y x)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (*.f64 3 y) x z)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (*.f64 3 y) x z))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 x (*.f64 3 y)) 2)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 3 (.f64 y x)) (fma.f64 3 (.f64 y x) z))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) 27 (pow.f64 (neg.f64 z) 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 x (.f64 3 y)) 2)))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 (*.f64 3 y) x z)))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(.f64 (+.f64 (sqrt.f64 (.f64 3 (.f64 y x))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (.f64 3 (*.f64 y x))) (sqrt.f64 z)))
(.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x (.f64 3 y)))) (-.f64 (sqrt.f64 (.f64 x (*.f64 3 y))) (sqrt.f64 z)))
(.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 3 (.f64 y x)))) (-.f64 (sqrt.f64 (.f64 3 (*.f64 y x))) (sqrt.f64 z)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (.f64 3 y) x z))) (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (*.f64 3 y) x z))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 x (*.f64 3 y)) 2)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 3 (.f64 y x)) (fma.f64 3 (.f64 y x) z))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) 27 (pow.f64 (neg.f64 z) 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 x (.f64 3 y)) 2)))
(/.f64 1 (/.f64 (fma.f64 (.f64 3 y) x z) (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z))))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 (*.f64 3 y) x z)))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (.f64 3 y) x z))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (*.f64 3 y) x z))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 x (*.f64 3 y)) 2)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 3 (.f64 y x)) (fma.f64 3 (.f64 y x) z))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) 27 (pow.f64 (neg.f64 z) 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 x (.f64 3 y)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (fma.f64 (.f64 3 y) x z))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 (*.f64 3 y) x z)))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (.f64 3 y) x z)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (*.f64 3 y) x z))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 x (*.f64 3 y)) 2)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 3 (.f64 y x)) (fma.f64 3 (.f64 y x) z))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) 27 (pow.f64 (neg.f64 z) 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 x (.f64 3 y)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z))) (neg.f64 (fma.f64 (.f64 3 y) x z)))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 (*.f64 3 y) x z)))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (.f64 3 (.f64 y x)) (neg.f64 z)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z (fma.f64 (*.f64 3 y) x z))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 x (*.f64 3 y)) 2)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) 3) 27) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 3 (.f64 y x)) (fma.f64 3 (.f64 y x) z))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) 27 (pow.f64 (neg.f64 z) 3)) (fma.f64 z (fma.f64 3 (.f64 y x) z) (pow.f64 (.f64 x (.f64 3 y)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (.f64 3 (*.f64 y x)) (neg.f64 z)))
(.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (/.f64 1 (fma.f64 (*.f64 3 y) x z)))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 y)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 y x)) 2) (.f64 z z)) (fma.f64 3 (.f64 y x) z))
(pow.f64 (-.f64 (.f64 3 (.f64 y x)) z) 1)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(pow.f64 (pow.f64 (-.f64 (.f64 3 (.f64 y x)) z) 3) 1/3)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(pow.f64 (cbrt.f64 (-.f64 (.f64 3 (.f64 y x)) z)) 3)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(pow.f64 (sqrt.f64 (-.f64 (.f64 3 (.f64 y x)) z)) 2)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(sqrt.f64 (pow.f64 (-.f64 (.f64 3 (.f64 y x)) z) 2))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(log.f64 (exp.f64 (-.f64 (.f64 3 (.f64 y x)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(cbrt.f64 (pow.f64 (-.f64 (.f64 3 (.f64 y x)) z) 3))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(expm1.f64 (log1p.f64 (-.f64 (.f64 3 (.f64 y x)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(log1p.f64 (expm1.f64 (-.f64 (.f64 3 (.f64 y x)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(exp.f64 (log.f64 (-.f64 (.f64 3 (.f64 y x)) z)))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 (*.f64 y x) 3 (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 1 (.f64 3 (.f64 y x)) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 y x))) 2) (cbrt.f64 (.f64 3 (.f64 y x))) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 (sqrt.f64 (.f64 3 (.f64 y x))) (sqrt.f64 (.f64 3 (.f64 y x))) (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)
(fma.f64 (*.f64 3 y) x (neg.f64 z))
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 x (.f64 3 y)) z)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 3 (*.f64 y x) (neg.f64 z))

Compiler

Compiled 19 to 8 computations (57.9% saved)

series4.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 3 (*.f64 y x) (neg.f64 z))
1.0ms	y	@	-inf	(fma.f64 3 (*.f64 y x) (neg.f64 z))
0.0ms	y	@	0	(fma.f64 3 (*.f64 y x) (neg.f64 z))
0.0ms	z	@	inf	(fma.f64 3 (*.f64 y x) (neg.f64 z))
0.0ms	y	@	inf	(fma.f64 3 (*.f64 y x) (neg.f64 z))

rewrite40.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`pow1_binary64`
618×	`add-log-exp_binary64`
617×	`log1p-expm1-u_binary64`
617×	`expm1-log1p-u_binary64`
606×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	162	8
2	1916	8

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(fma.f64 3 (*.f64 y x) (neg.f64 z))

Outputs

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

simplify49.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

420×	`associate-/l*_binary64`
359×	`fma-def_binary64`
294×	`fma-neg_binary64`
251×	`*-commutative_binary64`
249×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	545
1	156	541
2	837	538
3	4442	538
4	7158	538

Stop Event

1×	node limit

Counts

59 → 34

Calls

Call 1

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

Outputs
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(.f64 3 (.f64 y x))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 -1 z) (.f64 3 (*.f64 y x)))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 (.f64 3 (.f64 y x)) (*.f64 -1 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(+.f64 z (.f64 3 (.f64 y x)))
(fma.f64 3 (*.f64 y x) z)
(+.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 3 (*.f64 y x) z)
(+.f64 (.f64 (.f64 3 (*.f64 y x)) 1) z)
(fma.f64 3 (*.f64 y x) z)
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(-.f64 (+.f64 1 (fma.f64 3 (*.f64 y x) z)) 1)
(fma.f64 3 (*.f64 y x) z)
(-.f64 (+.f64 (.f64 3 (.f64 y x)) 0) z)
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(.f64 (fma.f64 3 (.f64 y x) z) 1)
(fma.f64 3 (*.f64 y x) z)
(.f64 1 (fma.f64 3 (.f64 y x) z))
(fma.f64 3 (*.f64 y x) z)
(.f64 (cbrt.f64 (fma.f64 3 (.f64 y x) z)) (pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) z)) 2))
(fma.f64 3 (*.f64 y x) z)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (.f64 y x) z)) 2) (cbrt.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(.f64 (sqrt.f64 (fma.f64 3 (.f64 y x) z)) (sqrt.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 y x)) 3) (pow.f64 z 3)) (+.f64 (.f64 (.f64 3 (.f64 y x)) (.f64 3 (.f64 y x))) (-.f64 (.f64 z z) (.f64 (.f64 3 (*.f64 y x)) z))))
(/.f64 (+.f64 (.f64 27 (pow.f64 (.f64 y x) 3)) (pow.f64 z 3)) (+.f64 (.f64 9 (.f64 (.f64 y x) (.f64 y x))) (.f64 z (-.f64 z (.f64 3 (*.f64 y x))))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (.f64 3 (.f64 y x))) (.f64 (.f64 y x) (.f64 (*.f64 y x) 9))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (.f64 (.f64 3 (.f64 y x)) (fma.f64 x (*.f64 3 y) (neg.f64 z)))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (.f64 3 (.f64 (.f64 y x) (fma.f64 x (*.f64 3 y) (neg.f64 z))))))
(/.f64 (-.f64 (.f64 (.f64 3 (.f64 y x)) (.f64 3 (.f64 y x))) (.f64 z z)) (fma.f64 3 (*.f64 y x) z))
(-.f64 (.f64 3 (.f64 y x)) z)
(fma.f64 x (*.f64 3 y) (neg.f64 z))
(pow.f64 (fma.f64 3 (*.f64 y x) z) 1)
(fma.f64 3 (*.f64 y x) z)
(pow.f64 (pow.f64 (fma.f64 3 (*.f64 y x) z) 3) 1/3)
(fma.f64 3 (*.f64 y x) z)
(pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) z)) 3)
(fma.f64 3 (*.f64 y x) z)
(pow.f64 (sqrt.f64 (fma.f64 3 (*.f64 y x) z)) 2)
(fma.f64 3 (*.f64 y x) z)
(sqrt.f64 (pow.f64 (fma.f64 3 (*.f64 y x) z) 2))
(fma.f64 3 (*.f64 y x) z)
(log.f64 (exp.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(cbrt.f64 (pow.f64 (fma.f64 3 (*.f64 y x) z) 3))
(fma.f64 3 (*.f64 y x) z)
(expm1.f64 (log1p.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(log1p.f64 (expm1.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)
(exp.f64 (log.f64 (fma.f64 3 (*.f64 y x) z)))
(fma.f64 3 (*.f64 y x) z)

eval24.0ms (1.1%)

Compiler: Compiled 1321 to 709 computations (46.3% saved)

prune14.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	97	6	103

Error

Counts

103 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 3 (*.f64 y x) (neg.f64 z))
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)
▶	36.4b	(.f64 x (.f64 3 y))
▶	36.4b	(.f64 3 (.f64 y x))
✓	26.5b	(neg.f64 z)

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(.f64 3 (.f64 y x))

Compiler

Compiled 14 to 7 computations (50% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(.f64 x (.f64 3 y))

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval5.0ms (0.2%)

Compiler: Compiled 183 to 125 computations (31.7% saved)

prune5.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	23	7	30

Error

Counts

30 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 3 (*.f64 y x) (neg.f64 z))
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)
▶	36.4b	(.f64 y (.f64 3 x))
✓	36.4b	(.f64 x (.f64 3 y))
✓	36.4b	(.f64 3 (.f64 y x))
✓	26.5b	(neg.f64 z)

Compiler

Compiled 59 to 43 computations (27.1% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 y (.f64 3 x))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 y (.f64 3 x))
0.0ms	x	@	-inf	(.f64 y (.f64 3 x))
0.0ms	y	@	-inf	(.f64 y (.f64 3 x))
0.0ms	y	@	inf	(.f64 y (.f64 3 x))
0.0ms	x	@	inf	(.f64 y (.f64 3 x))

rewrite95.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1393	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 y (.f64 3 x))

Outputs

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

simplify40.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

955×	`log-prod_binary64`
448×	`distribute-rgt-in_binary64`
437×	`distribute-lft-in_binary64`
393×	`*-commutative_binary64`
335×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	245
1	84	245
2	306	245
3	2024	245
4	6228	245

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

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

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

eval5.0ms (0.2%)

Compiler: Compiled 98 to 72 computations (26.5% saved)

prune4.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	13	7	20

Error

Counts

20 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 3 (*.f64 y x) (neg.f64 z))
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)
✓	36.4b	(.f64 y (.f64 3 x))
✓	36.4b	(.f64 x (.f64 3 y))
✓	36.4b	(.f64 3 (.f64 y x))
✓	26.5b	(neg.f64 z)

Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes47.0ms (2.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(neg.f64 z)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(-.f64 (.f64 (.f64 x 3) y) z)
(fma.f64 3 (*.f64 y x) (neg.f64 z))

Outputs
(fma.f64 3 (*.f64 y x) (neg.f64 z))

Calls

8 calls:

7.0ms	(.f64 (.f64 x 3) y)
6.0ms	(*.f64 x 3)
6.0ms	y
5.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
5.0ms	(*.f64 x 3)

Results

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

Compiler

Compiled 98 to 64 computations (34.7% saved)

regimes44.0ms (2%)

Counts

7 → 1

Calls

Call 1

Inputs
(neg.f64 z)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))
(-.f64 (.f64 3 (.f64 y x)) z)
(-.f64 (.f64 x (.f64 3 y)) z)
(-.f64 (.f64 (.f64 x 3) y) z)

Outputs
(-.f64 (.f64 3 (.f64 y x)) z)

Calls

8 calls:

6.0ms	z
6.0ms	(*.f64 x 3)
5.0ms	x
5.0ms	(.f64 (.f64 x 3) y)
5.0ms	(-.f64 (.f64 (.f64 x 3) y) z)

Results

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

Compiler

Compiled 91 to 62 computations (31.9% saved)

regimes55.0ms (2.5%)

Accuracy

Total -46.2b remaining (-298.9%)

Threshold costs -46.2b (-298.9%)

Counts

4 → 3

Calls

Call 1

Inputs
(neg.f64 z)
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 y))
(.f64 y (.f64 3 x))

Outputs
(neg.f64 z)
(.f64 3 (.f64 y x))
(neg.f64 z)

Calls

3 calls:

24.0ms	x
17.0ms	y
14.0ms	z

Results

Error	Segments	Branch
16.4b	7	`x`
17.8b	5	`y`
15.4b	3	`z`

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch28.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	4.395681757387535e-36	4.5220315240715307e-26
12.0ms	-1.9987977480937829e-115	-1.0739241341223007e-117

Results

24.0ms

272×

body

256

valid

Compiler

Compiled 271 to 216 computations (20.3% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	24	48
2	27	48
3	28	48

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(if (<=.f64 z -1242156022966125/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (neg.f64 z) (if (<=.f64 z 8135311848423971/713623846352979940529142984724747568191373312) (.f64 3 (.f64 y x)) (neg.f64 z)))
(neg.f64 z)

Outputs
(fma.f64 3 (*.f64 y x) (neg.f64 z))
(-.f64 (.f64 3 (.f64 y x)) z)
(if (<=.f64 z -1242156022966125/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (neg.f64 z) (if (<=.f64 z 8135311848423971/713623846352979940529142984724747568191373312) (.f64 3 (.f64 y x)) (neg.f64 z)))
(neg.f64 z)

Compiler

Compiled 45 to 31 computations (31.1% saved)

soundness115.0ms (5.1%)

Algorithm

2×	egg-herbie

Rules

533×	`fma-def_binary64`
390×	`log-prod_binary64`
378×	`fma-neg_binary64`
292×	`cancel-sign-sub-inv_binary64`
287×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	422	10
8	579	10
9	698	10
10	748	10
11	750	10
0	123	1227
1	319	1187
2	1389	1187
3	6921	1187

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 53 to 38 computations (28.3% saved)

end27.0ms (1.2%)

Compiler: Compiled 36 to 18 computations (50% saved)

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	422	10
8	579	10
9	698	10
10	748	10
11	750	10

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	422	10
8	579	10
9	698	10
10	748	10
11	750	10

Details

analyze219.0ms (9.8%)

sample852.0ms (38%)

preprocess52.0ms (2.3%)

simplify21.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize8.0ms (0.4%)

series53.0ms (2.4%)

rewrite49.0ms (2.2%)

simplify56.0ms (2.5%)

localize26.0ms (1.2%)

series4.0ms (0.2%)

rewrite50.0ms (2.2%)

simplify56.0ms (2.5%)

eval33.0ms (1.5%)

prune13.0ms (0.6%)

localize3.0ms (0.1%)

localize8.0ms (0.3%)

series3.0ms (0.2%)

rewrite51.0ms (2.3%)

simplify51.0ms (2.3%)

localize7.0ms (0.3%)

series4.0ms (0.2%)

rewrite40.0ms (1.8%)

simplify49.0ms (2.2%)

eval24.0ms (1.1%)

prune14.0ms (0.6%)

localize5.0ms (0.2%)

localize5.0ms (0.2%)

eval5.0ms (0.2%)

prune5.0ms (0.2%)

localize6.0ms (0.3%)

series1.0ms (0.1%)

rewrite95.0ms (4.3%)

simplify40.0ms (1.8%)

eval5.0ms (0.2%)

prune4.0ms (0.2%)

regimes47.0ms (2.1%)

regimes44.0ms (2%)

regimes55.0ms (2.5%)

bsearch28.0ms (1.3%)

simplify6.0ms (0.3%)

soundness115.0ms (5.1%)

end27.0ms (1.2%)

Profiling

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	422	10
8	579	10
9	698	10
10	748	10
11	750	10