Details

analyze174.0ms (5.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
36.4%	34.3%	60.1%	0.1%	5.5%	0%	0%	10
44.5%	41.3%	51.5%	0.1%	7%	0%	0%	11
51.5%	46.8%	44.1%	0.1%	9%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.2s (39%)

Results

970.0ms	8256×	body	256	valid
214.0ms	1218×	body	256	infinite

Bogosity

preprocess102.0ms (3.3%)

Algorithm

2×	egg-herbie

Rules

1092×	`fma-neg`
812×	`fma-def`
784×	`associate--r+`
784×	`associate-+l-`
540×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	84
1	47	84
2	91	84
3	173	84
4	348	68
5	796	60
6	1387	60
7	2201	60
8	3534	60
9	4055	60
10	4131	60
11	4132	60
12	4132	60
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify47.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def`
234×	`associate-+l+`
230×	`associate-+r+`
198×	`associate--r+`
168×	`associate-r`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	20	21
2	33	21
3	58	21
4	117	17
5	251	15
6	395	15
7	645	15
8	1346	15
9	1697	15
10	1766	15
11	1776	15

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 41 to 19 computations (53.7% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 x (-.f64 z y) y)
▶	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series59.0ms (1.9%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
57.0ms	y	@	-inf	(*.f64 (-.f64 1 x) y)
0.0ms	x	@	inf	(*.f64 (-.f64 1 x) y)
0.0ms	y	@	0	(*.f64 (-.f64 1 x) y)
0.0ms	x	@	0	(*.f64 (-.f64 1 x) y)
0.0ms	y	@	inf	(*.f64 (-.f64 1 x) y)

rewrite49.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1432×	`*-un-lft-identity`
1332×	`add-cube-cbrt`
1316×	`add-cbrt-cube`
1306×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	142	13
2	1752	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

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

Outputs

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

simplify53.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

892×	`*-commutative`
840×	`fma-def`
570×	`associate-r`
542×	`log-prod`
526×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	758
1	139	618
2	413	618
3	2141	618
4	4691	618

Stop Event

1×	node limit

Counts

42 → 30

Calls

Call 1

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

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

localize6.0ms (0.2%)

Compiler: Compiled 15 to 5 computations (66.7% saved)

eval6.0ms (0.2%)

Compiler: Compiled 390 to 199 computations (49% saved)

prune30.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	28	4	32

Error

Counts

32 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 y (.f64 (neg.f64 x) y)) (.f64 x z))
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
▶	27.9b	(+.f64 (.f64 y (neg.f64 x)) (.f64 x z))
▶	9.5b	(+.f64 y (*.f64 x z))

Compiler

Compiled 44 to 28 computations (36.4% saved)

localize13.0ms (0.4%)

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)

series42.0ms (1.3%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	y	@	0	(+.f64 y (*.f64 x z))
0.0ms	z	@	-inf	(+.f64 y (*.f64 x z))
0.0ms	z	@	inf	(+.f64 y (*.f64 x z))
0.0ms	x	@	-inf	(+.f64 y (*.f64 x z))
0.0ms	y	@	inf	(+.f64 y (*.f64 x z))

rewrite105.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`add-sqr-sqrt`
1622×	`*-un-lft-identity`
1512×	`add-cube-cbrt`
1496×	`add-cbrt-cube`
158×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	148	9
2	1990	9

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

Outputs

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

simplify57.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-r`
1208×	`associate-l`
852×	`distribute-lft-neg-in`
746×	`associate-+r+`
536×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	94	1139
1	224	1109
2	838	1109
3	4919	1109

Stop Event

1×	node limit

Counts

73 → 48

Calls

Call 1

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

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

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2014×	`add-sqr-sqrt`
1998×	`*-un-lft-identity`
1858×	`add-cube-cbrt`
220×	`pow1`
208×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	213	15
2	2929	15

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify68.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1724×	`associate-/l*`
1392×	`associate-/r*`
1014×	`associate-+l+`
534×	`fma-def`
508×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1917
1	290	1547
2	1366	1531
3	7075	1531

Stop Event

1×	node limit

Counts

85 → 79

Calls

Call 1

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

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

localize13.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 31 to 8 computations (74.2% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1640×	`add-sqr-sqrt`
1624×	`*-un-lft-identity`
1516×	`add-cube-cbrt`
1500×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	174	9
2	2475	9

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify67.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1724×	`associate-/l*`
1474×	`associate-/r*`
930×	`associate-+r+`
824×	`*-commutative`
724×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	117	1209
1	280	1181
2	1212	1181
3	6476	1181

Stop Event

1×	node limit

Counts

71 → 67

Calls

Call 1

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

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

eval36.0ms (1.2%)

Compiler: Compiled 2693 to 876 computations (67.5% saved)

prune33.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	189	5	194
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	191	7	198

Error

Counts

198 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (-.f64 y (.f64 y x)) (.f64 x z))
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
✓	9.5b	(+.f64 y (*.f64 x z))
▶	53.2b	(*.f64 (neg.f64 y) x)
▶	36.7b	(*.f64 z x)
▶	27.9b	(*.f64 x (-.f64 z y))
	35.2b	y

Compiler

Compiled 57 to 37 computations (35.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`add-sqr-sqrt`
1646×	`*-un-lft-identity`
1534×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	2001	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify64.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1232×	`fma-def`
1218×	`associate-*r/`
904×	`associate-r`
772×	`associate-l`
566×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	767
1	157	767
2	456	767
3	3029	767
4	6699	767

Stop Event

1×	node limit

Counts

55 → 27

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize5.0ms (0.2%)

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

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 26 to 7 computations (73.1% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`add-sqr-sqrt`
1494×	`*-un-lft-identity`
1396×	`add-cube-cbrt`
1382×	`add-cbrt-cube`
1370×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	133	13
2	1857	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify66.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-+l+`
988×	`associate-*r/`
902×	`fma-def`
588×	`times-frac`
548×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	1263
1	304	1153
2	1298	1053
3	5401	1053

Stop Event

1×	node limit

Counts

63 → 51

Calls

Call 1

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

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

eval13.0ms (0.4%)

Compiler: Compiled 1041 to 321 computations (69.2% saved)

prune13.0ms (0.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	78	7	85

Error

Counts

85 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (-.f64 y (.f64 y x)) (.f64 x z))
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
✓	9.5b	(+.f64 y (*.f64 x z))
✓	53.2b	(*.f64 (neg.f64 y) x)
✓	36.7b	(*.f64 z x)
✓	27.9b	(*.f64 x (-.f64 z y))
	35.2b	y

Compiler

Compiled 57 to 37 computations (35.1% saved)

eval0.0ms (0%)

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

prune7.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (-.f64 y (.f64 y x)) (.f64 x z))
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
✓	9.5b	(+.f64 y (*.f64 x z))
✓	53.2b	(*.f64 (neg.f64 y) x)
✓	36.7b	(*.f64 z x)
✓	27.9b	(*.f64 x (-.f64 z y))
	35.2b	y

Compiler

Compiled 57 to 37 computations (35.1% saved)

regimes31.0ms (1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	z
7.0ms	x
6.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
6.0ms	y

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))`

Compiler

Compiled 87 to 41 computations (52.9% saved)

regimes26.0ms (0.8%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
6.0ms	z
6.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
6.0ms	y

Results

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

Compiler

Compiled 81 to 40 computations (50.6% saved)

regimes34.0ms (1.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	y
13.0ms	x
5.0ms	z

Results

Error	Segments	Branch
1.0b	3	`x`
8.5b	3	`y`
9.5b	1	`z`

Compiler

Compiled 41 to 22 computations (46.3% saved)

bsearch26.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1.858563731941368e-6	0.007737715227026138
12.0ms	-122.56136311679036	-0.5298924732309861

Results

24.0ms

240×

body

256

valid

Compiler

Compiled 288 to 193 computations (33% saved)

regimes46.0ms (1.5%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	y
10.0ms	x
10.0ms	z

Results

Error	Segments	Branch
11.7b	3	`x`
15.6b	5	`y`
22.1b	3	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch27.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	1.858563731941368e-6	0.007737715227026138
15.0ms	-8.053418277682822e-23	-3.1538882986925155e-30

Results

24.0ms

272×

body

256

valid

Compiler

Compiled 256 to 183 computations (28.5% saved)

regimes54.0ms (1.7%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	z
15.0ms	y
9.0ms	x

Results

Error	Segments	Branch
20.4b	3	`x`
19.3b	5	`y`
23.5b	7	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch51.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	2.942185142131904e+33	9.919237600674296e+38
8.0ms	1.4946714145170808e-23	4.7246219657969926e-23
14.0ms	7.586611774095796e-108	7.401155338625188e-105
14.0ms	-1.135043690621774e+47	-3.9645892150319485e+37

Results

46.0ms	496×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 404 to 306 computations (24.3% saved)

regimes39.0ms (1.2%)

Accuracy

Total -41.5b remaining (-203.6%)

Threshold costs -41.5b (-203.6%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(*.f64 z x)

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

Calls

3 calls:

21.0ms	z
9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
20.4b	3	`x`
20.5b	3	`y`
23.5b	7	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch28.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	1.858563731941368e-6	0.007737715227026138
15.0ms	-8.053418277682822e-23	-3.1538882986925155e-30

Results

25.0ms

272×

body

256

valid

Compiler

Compiled 222 to 166 computations (25.2% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
14×	`+-commutative`
8×	`sub-neg`
8×	`if-if-or-not`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	221
1	81	221
2	91	221
3	97	221
4	99	221

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 z y) y)
(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
(if (<=.f64 x -1) (.f64 x (-.f64 z y)) (if (<=.f64 x 8762203435012037/1152921504606846976) (+.f64 y (.f64 x z)) (*.f64 x (-.f64 z y))))
(if (<=.f64 x -3835728174147267/44601490397061246283071436545296723011960832) (.f64 x (-.f64 z y)) (if (<=.f64 x 4486248158726163/2361183241434822606848) y (.f64 x (-.f64 z y))))
(if (<=.f64 y -84999999999999999030961646511557967872) y (if (<=.f64 y 7488524646452035/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (.f64 z x) (if (<=.f64 y 7826494439181585/170141183460469231731687303715884105728) y (if (<=.f64 y 2999999999999999836725692961128448) (.f64 (neg.f64 y) x) y))))
(if (<=.f64 x -825127572345633/22300745198530623141535718272648361505980416) (.f64 z x) (if (<=.f64 x 4486248158726163/2361183241434822606848) y (.f64 z x)))
y

Outputs
(fma.f64 x (-.f64 z y) y)
(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
(+.f64 (.f64 y (-.f64 1 x)) (.f64 x z))
(if (<=.f64 x -1) (.f64 x (-.f64 z y)) (if (<=.f64 x 8762203435012037/1152921504606846976) (+.f64 y (.f64 x z)) (*.f64 x (-.f64 z y))))
(if (or (<=.f64 x -1) (not (<=.f64 x 8762203435012037/1152921504606846976))) (.f64 x (-.f64 z y)) (+.f64 y (.f64 x z)))
(if (<=.f64 x -3835728174147267/44601490397061246283071436545296723011960832) (.f64 x (-.f64 z y)) (if (<=.f64 x 4486248158726163/2361183241434822606848) y (.f64 x (-.f64 z y))))
(if (or (<=.f64 x -3835728174147267/44601490397061246283071436545296723011960832) (not (<=.f64 x 4486248158726163/2361183241434822606848))) (*.f64 x (-.f64 z y)) y)
(if (<=.f64 y -84999999999999999030961646511557967872) y (if (<=.f64 y 7488524646452035/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (.f64 z x) (if (<=.f64 y 7826494439181585/170141183460469231731687303715884105728) y (if (<=.f64 y 2999999999999999836725692961128448) (.f64 (neg.f64 y) x) y))))
(if (<=.f64 y -84999999999999999030961646511557967872) y (if (<=.f64 y 7488524646452035/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (.f64 x z) (if (<=.f64 y 7826494439181585/170141183460469231731687303715884105728) y (if (<=.f64 y 2999999999999999836725692961128448) (.f64 x (neg.f64 y)) y))))
(if (<=.f64 x -825127572345633/22300745198530623141535718272648361505980416) (.f64 z x) (if (<=.f64 x 4486248158726163/2361183241434822606848) y (.f64 z x)))
(if (<=.f64 x -825127572345633/22300745198530623141535718272648361505980416) (.f64 x z) (if (<=.f64 x 4486248158726163/2361183241434822606848) y (.f64 x z)))
y

Compiler

Compiled 112 to 70 computations (37.5% saved)

soundness88.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def`
234×	`associate-+l+`
230×	`associate-+r+`
198×	`associate--r+`
168×	`associate-r`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	20	21
2	33	21
3	58	21
4	117	17
5	251	15
6	395	15
7	645	15
8	1346	15
9	1697	15
10	1766	15
11	1776	15

Stop Event

1×

saturated

Compiler

Compiled 173 to 72 computations (58.4% saved)

end45.0ms (1.4%)

Compiler: Compiled 94 to 46 computations (51.1% saved)

Details

analyze174.0ms (5.6%)

sample1.2s (39%)

preprocess102.0ms (3.3%)

simplify47.0ms (1.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.3%)

series59.0ms (1.9%)

rewrite49.0ms (1.6%)

simplify53.0ms (1.7%)

localize6.0ms (0.2%)

eval6.0ms (0.2%)

prune30.0ms (1%)

localize13.0ms (0.4%)

series42.0ms (1.3%)

rewrite105.0ms (3.4%)

simplify57.0ms (1.8%)

localize9.0ms (0.3%)

series4.0ms (0.1%)

rewrite61.0ms (1.9%)

simplify68.0ms (2.2%)

localize13.0ms (0.4%)

series2.0ms (0.1%)

rewrite55.0ms (1.7%)

simplify67.0ms (2.1%)

eval36.0ms (1.2%)

prune33.0ms (1%)

localize5.0ms (0.2%)

series4.0ms (0.1%)

rewrite57.0ms (1.8%)

simplify64.0ms (2%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

localize8.0ms (0.3%)

series3.0ms (0.1%)

rewrite53.0ms (1.7%)

simplify66.0ms (2.1%)

eval13.0ms (0.4%)

prune13.0ms (0.4%)

eval0.0ms (0%)

prune7.0ms (0.2%)

regimes31.0ms (1%)

regimes26.0ms (0.8%)

regimes34.0ms (1.1%)

bsearch26.0ms (0.8%)

regimes46.0ms (1.5%)

bsearch27.0ms (0.9%)

regimes54.0ms (1.7%)

bsearch51.0ms (1.6%)

regimes39.0ms (1.2%)

bsearch28.0ms (0.9%)

simplify10.0ms (0.3%)

soundness88.0ms (2.8%)

end45.0ms (1.4%)

Profiling