Details

analyze489.0ms (6.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
18.7%	81.1%	0.1%	9
28.1%	71.8%	0.1%	10
32.8%	67.1%	0.1%	11
39.8%	60.1%	0.1%	12

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample4.0s (52.8%)

Results

1.9s	6397×	body	256	valid
581.0ms	836×	body	1024	valid
503.0ms	1884×	body	256	invalid
368.0ms	480×	body	2048	valid
310.0ms	543×	body	512	valid
188.0ms	219×	body	512	invalid
60.0ms	146×	body	1024	invalid

preprocess69.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

637×	`sub-neg_binary64`
517×	`fma-def_binary64`
351×	`unsub-neg_binary64`
299×	`distribute-rgt-neg-in_binary64`
291×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	76
1	96	44
2	332	40
3	1034	28
4	4595	28
5	7021	28
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Outputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(+.f64 (.f64 y (-.f64 x y)) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (fma.f64 x y 0) (*.f64 y z))
(-.f64 (.f64 x y) (.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 (-.f64 (.f64 y x) (.f64 x x)) (.f64 x x)) (.f64 x z))
(+.f64 (.f64 x (-.f64 y x)) (-.f64 (.f64 x x) (*.f64 x z)))
(-.f64 (fma.f64 x y 0) (*.f64 x z))
(-.f64 (.f64 x y) (.f64 x z))
(*.f64 x (-.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 z y) (.f64 y y)) (.f64 y y)) (.f64 y x))
(+.f64 (.f64 y (-.f64 z y)) (-.f64 (.f64 y y) (*.f64 x y)))
(-.f64 (fma.f64 y z 0) (*.f64 x y))
(-.f64 (.f64 y z) (.f64 x y))
(*.f64 y (-.f64 z x))
(-.f64 (+.f64 (-.f64 (.f64 x z) (.f64 z z)) (.f64 z z)) (.f64 z y))
(-.f64 (+.f64 (.f64 z z) (.f64 z (-.f64 x z))) (*.f64 y z))
(-.f64 (fma.f64 x z 0) (*.f64 y z))
(-.f64 (.f64 x z) (.f64 y z))
(*.f64 z (-.f64 x y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify160.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1483×	`distribute-rgt-out--_binary64`
580×	`unsub-neg_binary64`
391×	`sub-neg_binary64`
370×	`distribute-rgt-neg-in_binary64`
326×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	29	11
2	97	10
3	278	7
4	902	7
5	3021	7
6	4762	7
7	5746	7
8	6411	7
9	6741	7
10	6916	7
11	6941	7
12	6941	7
13	6941	7

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(+.f64 (.f64 y (-.f64 x y)) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (fma.f64 x y 0) (*.f64 y z))
(fma.f64 x y (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 x z))

eval1.0ms (0%)

Compiler: Compiled 23 to 11 computations (52.2% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.5b	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
▶	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

217×	`fma-def_binary64`
132×	`fma-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
25×	`distribute-rgt-in_binary64`
25×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
✓	0.0b	(-.f64 (.f64 x y) (.f64 y y))
✓	7.7b	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

Compiler

Compiled 48 to 9 computations (81.3% saved)

series24.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
9.0ms	y	@	inf	(-.f64 (.f64 x y) (.f64 y y))
2.0ms	x	@	-inf	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))
1.0ms	x	@	0	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))
1.0ms	x	@	inf	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))
1.0ms	y	@	inf	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

rewrite100.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`log-prod_binary64`
633×	`fma-neg_binary64`
335×	`pow2_binary64`
227×	`pow1/3_binary64`
226×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	244	23
2	4004	22

Stop Event

1×	node limit

Counts

3 → 300

Calls

Call 1

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

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

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

simplify157.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1152×	`fma-neg_binary64`
698×	`fma-def_binary64`
418×	`distribute-rgt-neg-in_binary64`
325×	`distribute-lft-neg-in_binary64`
277×	`cube-prod_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	21	654
1	56	546
2	122	492
3	326	492
4	870	492
5	1745	492
6	2954	492
7	4562	492
8	5259	492
9	5883	480
10	6656	480
11	7239	480
12	7758	480

Stop Event

1×	node limit

Counts

384 → 312

Calls

Call 1

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

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

eval116.0ms (1.5%)

Compiler: Compiled 5922 to 1795 computations (69.7% saved)

prune53.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	332	5	337
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	333	6	339

Error

Counts

339 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 y x) (.f64 y z))
▶	37.8b	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))
▶	26.9b	(*.f64 y (neg.f64 z))
▶	0.0b	(fma.f64 y x (*.f64 y (neg.f64 z)))
▶	33.0b	(*.f64 y x)
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 116 to 73 computations (37.1% saved)

localize27.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`pow1_binary64`
556×	`add-log-exp_binary64`
555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
543×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	143	7
2	1815	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

142×	`fma-def_binary64`
108×	`fma-neg_binary64`
32×	`unsub-neg_binary64`
30×	`cancel-sign-sub-inv_binary64`
28×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	270
1	48	240
2	100	240
3	174	240
4	310	240
5	487	240
6	601	240
7	642	240

Stop Event

1×

saturated

Counts

59 → 31

Calls

Call 1

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

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

localize4.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary64`
836×	`add-log-exp_binary64`
836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
819×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	162	7
2	2300	7

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify155.0ms (2%)

Algorithm

1×	egg-herbie

Rules

118×	`fma-def_binary64`
80×	`fma-neg_binary64`
34×	`unsub-neg_binary64`
28×	`associate-l_binary64`
28×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	240
1	44	240
2	97	240
3	243	240
4	411	240
5	531	240
6	600	240
7	605	240

Stop Event

1×

saturated

Counts

89 → 59

Calls

Call 1

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

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

localize71.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.3b	(-.f64 (pow.f64 x 3) (pow.f64 z 3))
✓	1.5b	(fma.f64 x x (*.f64 z (+.f64 x z)))
✓	5.4b	(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)
✓	32.5b	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))

Compiler

Compiled 63 to 29 computations (54% saved)

series23.0ms (0.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(fma.f64 x x (*.f64 z (+.f64 x z)))
2.0ms	z	@	-inf	(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)
2.0ms	y	@	0	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))

rewrite189.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`log-prod_binary64`
477×	`fma-def_binary64`
256×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`
239×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	303	41
2	4253	41

Stop Event

1×	node limit

Counts

4 → 205

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)
(fma.f64 x x (*.f64 z (+.f64 x z)))
(-.f64 (pow.f64 x 3) (pow.f64 z 3))

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

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Rules

877×	`associate-/l*_binary64`
862×	`fma-neg_binary64`
778×	`fma-def_binary64`
370×	`associate-/l/_binary64`
224×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1461
1	314	1368
2	1250	1314
3	4622	1314

Stop Event

1×	node limit

Counts

325 → 246

Calls

Call 1

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

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

eval363.0ms (4.8%)

Compiler: Compiled 6887 to 2996 computations (56.5% saved)

prune56.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	335	1	336
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	336	6	342

Error

Counts

342 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
▶	0.2b	(fma.f64 y (-.f64 x z) (fma.f64 (neg.f64 z) y (*.f64 y z)))
✓	26.9b	(*.f64 y (neg.f64 z))
✓	0.0b	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	33.0b	(*.f64 y x)

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (-.f64 x z) (fma.f64 (neg.f64 z) y (*.f64 y z)))
✓	52.3b	(fma.f64 (neg.f64 z) y (*.f64 y z))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
846×	`add-log-exp_binary64`
845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	193	21
2	2685	21

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify128.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

530×	`unsub-neg_binary64`
457×	`sub-neg_binary64`
441×	`*-commutative_binary64`
361×	`distribute-neg-in_binary64`
328×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	411
1	122	264
2	331	264
3	1483	264
4	3818	264
5	5490	264
6	6871	264
7	7497	264
8	7798	264
9	7875	264
10	7875	264

Stop Event

1×	node limit

Counts

102 → 58

Calls

Call 1

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

Outputs
(.f64 z (+.f64 y (.f64 -1 y)))
(.f64 z (.f64 0 y))
0
(.f64 z (+.f64 y (.f64 -1 y)))
(.f64 z (.f64 0 y))
0
(.f64 z (+.f64 y (.f64 -1 y)))
(.f64 z (.f64 0 y))
0
(.f64 z (+.f64 y (.f64 -1 y)))
(.f64 z (.f64 0 y))
0
(.f64 z (+.f64 y (.f64 -1 y)))
(.f64 z (.f64 0 y))
0
(.f64 z (+.f64 y (.f64 -1 y)))
(.f64 z (.f64 0 y))
0
(.f64 z (+.f64 y (.f64 -1 y)))
(.f64 z (.f64 0 y))
0
(.f64 z (+.f64 y (.f64 -1 y)))
(.f64 z (.f64 0 y))
0
(.f64 -1 (.f64 z (+.f64 y (*.f64 -1 y))))
(.f64 z (.f64 0 y))
0
(.f64 -1 (.f64 z (+.f64 y (*.f64 -1 y))))
(.f64 z (.f64 0 y))
0
(.f64 -1 (.f64 z (+.f64 y (*.f64 -1 y))))
(.f64 z (.f64 0 y))
0
(.f64 -1 (.f64 z (+.f64 y (*.f64 -1 y))))
(.f64 z (.f64 0 y))
0
(.f64 (+.f64 (.f64 -1 z) z) y)
(.f64 z (.f64 0 y))
0
(.f64 (+.f64 (.f64 -1 z) z) y)
(.f64 z (.f64 0 y))
0
(.f64 (+.f64 (.f64 -1 z) z) y)
(.f64 z (.f64 0 y))
0
(.f64 (+.f64 (.f64 -1 z) z) y)
(.f64 z (.f64 0 y))
0
(.f64 (+.f64 (.f64 -1 z) z) y)
(.f64 z (.f64 0 y))
0
(.f64 (+.f64 (.f64 -1 z) z) y)
(.f64 z (.f64 0 y))
0
(.f64 (+.f64 (.f64 -1 z) z) y)
(.f64 z (.f64 0 y))
0
(.f64 (+.f64 (.f64 -1 z) z) y)
(.f64 z (.f64 0 y))
0
(.f64 -1 (.f64 (+.f64 (*.f64 -1 z) z) y))
(.f64 z (.f64 0 y))
0
(.f64 -1 (.f64 (+.f64 (*.f64 -1 z) z) y))
(.f64 z (.f64 0 y))
0
(.f64 -1 (.f64 (+.f64 (*.f64 -1 z) z) y))
(.f64 z (.f64 0 y))
0
(.f64 -1 (.f64 (+.f64 (*.f64 -1 z) z) y))
(.f64 z (.f64 0 y))
0
(.f64 y (+.f64 (.f64 -1 z) x))
(*.f64 y (-.f64 x z))
(.f64 y (+.f64 (.f64 -1 z) x))
(*.f64 y (-.f64 x z))
(.f64 y (+.f64 (.f64 -1 z) x))
(*.f64 y (-.f64 x z))
(.f64 y (+.f64 (.f64 -1 z) x))
(*.f64 y (-.f64 x z))
(.f64 y (+.f64 (.f64 -1 z) x))
(*.f64 y (-.f64 x z))
(.f64 y (+.f64 (.f64 -1 z) x))
(*.f64 y (-.f64 x z))
(.f64 y (+.f64 (.f64 -1 z) x))
(*.f64 y (-.f64 x z))
(.f64 y (+.f64 (.f64 -1 z) x))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (-.f64 x z)) z))))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (-.f64 x z)) z))))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (-.f64 x z)) z))))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (-.f64 x z)) z))))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y z) (.f64 -2 (*.f64 y z)))
(.f64 -1 (.f64 z y))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 y z) (+.f64 (.f64 y x) (.f64 -2 (.f64 y z))))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y z) (+.f64 (.f64 y x) (.f64 -2 (.f64 y z))))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y z) (+.f64 (.f64 y x) (.f64 -2 (.f64 y z))))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (.f64 y z) (+.f64 (.f64 y x) (.f64 -2 (.f64 y z))))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y z) (+.f64 (.f64 y x) (.f64 -2 (.f64 y z))))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y z) (+.f64 (.f64 y x) (.f64 -2 (.f64 y z))))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (.f64 y z) (+.f64 (.f64 y x) (.f64 -2 (.f64 y z))))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y z) (+.f64 (.f64 y x) (.f64 -2 (.f64 y z))))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y z) (+.f64 (.f64 y x) (.f64 -2 (.f64 y z))))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 (+.f64 (*.f64 -2 y) y) z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 (+.f64 (*.f64 -2 y) y) z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 (+.f64 (*.f64 -2 y) y) z))
(*.f64 y (-.f64 x z))
(.f64 (+.f64 (.f64 -2 y) y) z)
(.f64 -1 (.f64 z y))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 y x) (.f64 (+.f64 (*.f64 -2 y) y) z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 (+.f64 (*.f64 -2 y) y) z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 (+.f64 (*.f64 -2 y) y) z))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 (+.f64 (.f64 2 y) (.f64 -1 y)) z))
(.f64 -1 (.f64 z y))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (+.f64 (.f64 2 y) (*.f64 -1 y)) z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (+.f64 (.f64 2 y) (*.f64 -1 y)) z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (+.f64 (.f64 2 y) (*.f64 -1 y)) z)))
(*.f64 y (-.f64 x z))

eval12.0ms (0.2%)

Compiler: Compiled 826 to 235 computations (71.5% saved)

prune11.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	57	7	64

Error

Counts

64 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
✓	0.2b	(fma.f64 y (-.f64 x z) (fma.f64 (neg.f64 z) y (*.f64 y z)))
✓	26.9b	(*.f64 y (neg.f64 z))
▶	0.0b	(+.f64 (.f64 y z) (+.f64 (.f64 y x) (.f64 -2 (.f64 y z))))
✓	0.0b	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	33.0b	(*.f64 y x)

Compiler

Compiled 72 to 43 computations (40.3% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 15 computations (62.5% saved)

series8.0ms (0.1%)

Counts

3 → 45

Calls

24 calls:

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

rewrite94.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`fma-def_binary64`
587×	`log-prod_binary64`
449×	`pow-prod-down_binary64`
345×	`fma-neg_binary64`
303×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	225	33
2	3256	32

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

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

Outputs

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

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

simplify174.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

713×	`unsub-neg_binary64`
456×	`distribute-neg-in_binary64`
419×	`distribute-rgt-out--_binary64`
410×	`sub-neg_binary64`
322×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	390
1	115	348
2	311	306
3	1483	306
4	4422	306
5	5680	306
6	6554	306
7	7087	306
8	7291	306
9	7454	306
10	7454	306
11	7549	306
12	7549	306

Stop Event

1×	node limit

Counts

240 → 210

Calls

Call 1

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

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

eval81.0ms (1.1%)

Compiler: Compiled 3831 to 1759 computations (54.1% saved)

prune31.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	210	7	217

Error

Counts

217 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(.f64 y (+.f64 (.f64 -2 z) (+.f64 z x)))
✓	0.0b	(*.f64 y (-.f64 x z))
✓	0.2b	(fma.f64 y (-.f64 x z) (fma.f64 (neg.f64 z) y (*.f64 y z)))
✓	26.9b	(*.f64 y (neg.f64 z))
	0.0b	(+.f64 (.f64 y z) (.f64 y (+.f64 (*.f64 -2 z) x)))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	33.0b	(*.f64 y x)

Compiler

Compiled 72 to 45 computations (37.5% saved)

regimes33.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
7.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
7.0ms	x
7.0ms	z

Results

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

Compiler

Compiled 137 to 60 computations (56.2% saved)

regimes54.0ms (0.7%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	z
6.0ms	x
5.0ms	y
5.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Results

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

Compiler

Compiled 100 to 47 computations (53% saved)

regimes15.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
4.0ms	z
4.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes135.0ms (1.8%)

Accuracy

Total -47.3b remaining (-429.7%)

Threshold costs -47.3b (-429.7%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

100.0ms	x
26.0ms	y
9.0ms	z

Results

Error	Segments	Branch
11.0b	5	`x`
18.8b	8	`y`
14.0b	3	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch128.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
49.0ms	1.8643384585354e+47	3.748755581867902e+54
27.0ms	6.0543716209710736e-27	5.0896647771893556e-26
29.0ms	9.830640204245755e-80	7.237131224868478e-64
23.0ms	-6.13383680137698e+74	-6.002508037781598e+66

Compiler

Compiled 24 to 14 computations (41.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	79
1	40	79
2	49	79
3	54	79
4	56	79

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 y (neg.f64 z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(if (<=.f64 x -613383680137697977975237779367699194624605590353124142408493898786425274368) (.f64 y x) (if (<=.f64 x 820239063713743/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (.f64 y (neg.f64 z)) (if (<=.f64 x 8438562428530671/1393796574908163946345982392040522594123776) (.f64 y x) (if (<=.f64 x 186433845853540001628116199682930098514002182144) (.f64 y (neg.f64 z)) (*.f64 y x)))))
(*.f64 y x)

Outputs
(fma.f64 y x (*.f64 y (neg.f64 z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(if (<=.f64 x -613383680137697977975237779367699194624605590353124142408493898786425274368) (.f64 y x) (if (<=.f64 x 820239063713743/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (.f64 y (neg.f64 z)) (if (<=.f64 x 8438562428530671/1393796574908163946345982392040522594123776) (.f64 y x) (if (<=.f64 x 186433845853540001628116199682930098514002182144) (.f64 y (neg.f64 z)) (*.f64 y x)))))
(*.f64 y x)

Compiler

Compiled 70 to 39 computations (44.3% saved)

soundness0.0ms (0%)

end114.0ms (1.5%)

Compiler: Compiled 58 to 23 computations (60.3% saved)

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Details

analyze489.0ms (6.4%)

sample4.0s (52.8%)

preprocess69.0ms (0.9%)

simplify160.0ms (2.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series5.0ms (0.1%)

rewrite55.0ms (0.7%)

simplify40.0ms (0.5%)

localize25.0ms (0.3%)

series24.0ms (0.3%)

rewrite100.0ms (1.3%)

simplify157.0ms (2.1%)

eval116.0ms (1.5%)

prune53.0ms (0.7%)

localize27.0ms (0.4%)

series5.0ms (0.1%)

rewrite54.0ms (0.7%)

simplify48.0ms (0.6%)

localize4.0ms (0%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite65.0ms (0.9%)

simplify155.0ms (2%)

localize71.0ms (0.9%)

series23.0ms (0.3%)

rewrite189.0ms (2.5%)

simplify79.0ms (1%)

eval363.0ms (4.8%)

prune56.0ms (0.7%)

localize13.0ms (0.2%)

series7.0ms (0.1%)

rewrite69.0ms (0.9%)

simplify128.0ms (1.7%)

eval12.0ms (0.2%)

prune11.0ms (0.1%)

localize14.0ms (0.2%)

series8.0ms (0.1%)

rewrite94.0ms (1.2%)

simplify174.0ms (2.3%)

eval81.0ms (1.1%)

prune31.0ms (0.4%)

regimes33.0ms (0.4%)

regimes54.0ms (0.7%)

regimes15.0ms (0.2%)

regimes135.0ms (1.8%)

bsearch128.0ms (1.7%)

simplify11.0ms (0.1%)

soundness0.0ms (0%)

end114.0ms (1.5%)

Profiling

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156