Details

analyze211.0ms (7.9%)

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 (44.6%)

Results

981.0ms	8256×	body	256	valid
196.0ms	1244×	body	256	infinite

Bogosity

preprocess115.0ms (4.3%)

Algorithm

2×	egg-herbie

Rules

1092×	`fma-neg`
812×	`fma-def`
774×	`associate--r+`
770×	`associate-+l-`
532×	`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	347	68
5	796	60
6	1385	60
7	2189	60
8	3515	60
9	4050	60
10	4126	60
11	4127	60
12	4127	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 x y) (.f64 (-.f64 1 x) z))
(+.f64 (.f64 y x) (.f64 (-.f64 1 y) z))
(+.f64 (.f64 z y) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 x z) (.f64 (-.f64 1 x) y))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify45.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def`
232×	`associate-+l+`
228×	`associate-+r+`
184×	`associate--r+`
164×	`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	642	15
8	1338	15
9	1683	15
10	1751	15
11	1761	15

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 41 to 20 computations (51.2% saved)

prune2.0ms (0.1%)

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
▶	0%	(fma.f64 x (-.f64 y z) z)
▶	0.01%	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(*.f64 (-.f64 1 x) z)

Compiler

Compiled 27 to 14 computations (48.1% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (2%)

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) z)

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

Outputs

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

simplify56.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

878×	`*-commutative`
846×	`fma-def`
578×	`associate-r`
544×	`log-prod`
536×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	688
1	140	618
2	413	618
3	2174	618
4	4725	618

Stop Event

1×	node limit

Counts

42 → 34

Calls

Call 1

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

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

localize6.0ms (0.2%)

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

eval6.0ms (0.2%)

Compiler: Compiled 419 to 205 computations (51.1% saved)

prune9.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	32	4	36

Error

Counts

36 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(+.f64 (.f64 x y) (-.f64 z (.f64 z x)))
✓	0.01%	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
▶	35.53%	(+.f64 (.f64 x y) (.f64 z (neg.f64 x)))
▶	15.65%	(+.f64 (*.f64 x y) z)

Compiler

Compiled 43 to 27 computations (37.2% saved)

localize5.0ms (0.2%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.03%	(+.f64 (.f64 x y) (.f64 z (neg.f64 x)))

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	x	@	-inf	(+.f64 (.f64 x y) (.f64 z (neg.f64 x)))
1.0ms	x	@	0	(+.f64 (.f64 x y) (.f64 z (neg.f64 x)))
1.0ms	x	@	inf	(+.f64 (.f64 x y) (.f64 z (neg.f64 x)))
0.0ms	y	@	0	(+.f64 (.f64 x y) (.f64 z (neg.f64 x)))
0.0ms	z	@	0	(+.f64 (.f64 x y) (.f64 z (neg.f64 x)))

rewrite58.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2008×	`add-sqr-sqrt`
1992×	`*-un-lft-identity`
1852×	`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	2932	15

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

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

Outputs

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

simplify62.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1454×	`associate-/r*`
1304×	`associate-+r+`
862×	`associate-+l+`
482×	`fma-def`
460×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1669
1	289	1489
2	1323	1485
3	5529	1485

Stop Event

1×	node limit

Counts

79 → 67

Calls

Call 1

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

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

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.04%	(-.f64 z (*.f64 z x))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (2.1%)

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 z (*.f64 z x))

Outputs

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

simplify67.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-+l+`
986×	`associate-*r/`
902×	`fma-def`
588×	`times-frac`
546×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1263
1	301	1153
2	1292	1053
3	5380	1053

Stop Event

1×	node limit

Counts

63 → 50

Calls

Call 1

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

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

eval21.0ms (0.8%)

Compiler: Compiled 1776 to 558 computations (68.6% saved)

prune22.0ms (0.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	115	6	121

Error

Counts

121 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.02%	(+.f64 (.f64 x y) (-.f64 z (.f64 z x)))
✓	0.01%	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	15.65%	(+.f64 (*.f64 x y) z)
▶	82.99%	(*.f64 (neg.f64 z) x)
▶	49.91%	(*.f64 y x)
▶	35.53%	(*.f64 x (-.f64 y z))

Compiler

Compiled 53 to 34 computations (35.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 x (-.f64 y z))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (2.1%)

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 y z))

Outputs

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

simplify70.0ms (2.6%)

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

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

localize3.0ms (0.1%)

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

localize4.0ms (0.2%)

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

eval4.0ms (0.1%)

Compiler: Compiled 250 to 95 computations (62% saved)

prune6.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	27	6	33

Error

Counts

33 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.02%	(+.f64 (.f64 x y) (-.f64 z (.f64 z x)))
✓	0.01%	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	15.65%	(+.f64 (*.f64 x y) z)
✓	82.99%	(*.f64 (neg.f64 z) x)
✓	49.91%	(*.f64 y x)
✓	35.53%	(*.f64 x (-.f64 y z))

Compiler

Compiled 53 to 34 computations (35.8% saved)

regimes27.0ms (1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
5.0ms	z
5.0ms	y

Results

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

Compiler

Compiled 76 to 38 computations (50% saved)

regimes23.0ms (0.9%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	y
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
5.0ms	z
5.0ms	x

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`y`
0.01%	1	`z`
0.01%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))`

Compiler

Compiled 70 to 37 computations (47.1% saved)

regimes23.0ms (0.9%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
6.0ms	y
4.0ms	z

Results

Error	Segments	Branch
1.58%	3	`x`
15.65%	1	`y`
15.65%	1	`z`

Compiler

Compiled 40 to 22 computations (45% saved)

bsearch23.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.7278237386232906e-6	0.04952400747710512
10.0ms	-1720.4977847182122	-185.76917732069842

Results

20.0ms	224×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 270 to 181 computations (33% saved)

regimes12.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
35.53%	1	`x`
35.53%	1	`y`
35.53%	1	`z`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes21.0ms (0.8%)

Accuracy

Total -33.8b remaining (-120.2%)

Threshold costs -33.8b (-120.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	y
6.0ms	z
3.0ms	x

Results

Error	Segments	Branch
49.91%	1	`x`
43.98%	3	`y`
45.74%	2	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch26.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.3835651227231444e-163	1.0716053911468026e-159
13.0ms	-1.08718605456825e-200	-2.3842567980680865e-204

Results

23.0ms

256×

body

256

valid

Compiler

Compiled 258 to 189 computations (26.7% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
14×	`+-commutative`
8×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	154
1	60	154
2	70	154
3	76	154
4	78	154

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 y z) z)
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(if (<=.f64 x -190) (.f64 x (-.f64 y z)) (if (<=.f64 x 3458764513820541/72057594037927936) (+.f64 (.f64 x y) z) (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(if (<=.f64 y -7308239248610133/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (.f64 y x) (if (<=.f64 y 2453517582613197/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (.f64 (neg.f64 z) x) (*.f64 y x)))
(*.f64 y x)

Outputs
(fma.f64 x (-.f64 y z) z)
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(+.f64 (.f64 x y) (.f64 z (-.f64 1 x)))
(if (<=.f64 x -190) (.f64 x (-.f64 y z)) (if (<=.f64 x 3458764513820541/72057594037927936) (+.f64 (.f64 x y) z) (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x -190) (not (<=.f64 x 3458764513820541/72057594037927936))) (.f64 x (-.f64 y z)) (+.f64 z (.f64 x y)))
(*.f64 x (-.f64 y z))
(if (<=.f64 y -7308239248610133/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (.f64 y x) (if (<=.f64 y 2453517582613197/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (.f64 (neg.f64 z) x) (*.f64 y x)))
(if (<=.f64 y -7308239248610133/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (.f64 x y) (if (<=.f64 y 2453517582613197/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (.f64 x (neg.f64 z)) (*.f64 x y)))
(*.f64 y x)
(*.f64 x y)

Compiler

Compiled 78 to 48 computations (38.5% saved)

soundness307.0ms (11.5%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def`
232×	`associate-+l+`
228×	`associate-+r+`
184×	`associate--r+`
164×	`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	642	15
8	1338	15
9	1683	15
10	1751	15
11	1761	15

Stop Event

1×

saturated

Compiler

Compiled 183 to 79 computations (56.8% saved)

end34.0ms (1.3%)

Compiler: Compiled 63 to 27 computations (57.1% saved)

Details

analyze211.0ms (7.9%)

sample1.2s (44.6%)

preprocess115.0ms (4.3%)

simplify45.0ms (1.7%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize9.0ms (0.4%)

series2.0ms (0.1%)

rewrite52.0ms (2%)

simplify56.0ms (2.1%)

localize6.0ms (0.2%)

eval6.0ms (0.2%)

prune9.0ms (0.3%)

localize5.0ms (0.2%)

localize8.0ms (0.3%)

series4.0ms (0.1%)

rewrite58.0ms (2.2%)

simplify62.0ms (2.3%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite56.0ms (2.1%)

simplify67.0ms (2.5%)

eval21.0ms (0.8%)

prune22.0ms (0.8%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite55.0ms (2.1%)

simplify70.0ms (2.6%)

localize3.0ms (0.1%)

localize4.0ms (0.2%)

eval4.0ms (0.1%)

prune6.0ms (0.2%)

regimes27.0ms (1%)

regimes23.0ms (0.9%)

regimes23.0ms (0.9%)

bsearch23.0ms (0.8%)

regimes12.0ms (0.4%)

regimes21.0ms (0.8%)

bsearch26.0ms (1%)

simplify8.0ms (0.3%)

soundness307.0ms (11.5%)

end34.0ms (1.3%)

Profiling