Details

analyze372.0ms (6.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
34.3%	56.9%	8.7%	10
40.6%	49.9%	9.5%	11
48%	41.9%	10.1%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.0s (34.5%)

Results

1.8s	8256×	body	256	valid
208.0ms	1079×	body	256	invalid

preprocess35.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

522×	`fma-def_binary64`
97×	`distribute-rgt-in_binary64`
78×	`associate-+l+_binary64`
66×	`associate-+r+_binary64`
61×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	53	40
2	137	40
3	336	40
4	706	40
5	1090	40
6	1156	40
7	1162	40
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

186×	`fma-def_binary64`
32×	`distribute-rgt-in_binary64`
26×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
20×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	51	10
3	120	10
4	246	10
5	386	10
6	408	10
7	410	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 10 to 7 computations (30% saved)

localize55.0ms (1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (+.f64 x y) (+.f64 z 1))
1.0ms	z	@	0	(*.f64 (+.f64 x y) (+.f64 z 1))
1.0ms	x	@	0	(*.f64 (+.f64 x y) (+.f64 z 1))
1.0ms	x	@	-inf	(*.f64 (+.f64 x y) (+.f64 z 1))
0.0ms	y	@	inf	(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite56.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`prod-diff_binary64`
600×	`unpow-prod-down_binary64`
408×	`log-prod_binary64`
324×	`fma-def_binary64`
231×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2546	10

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

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

Outputs

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

simplify23.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

176×	`fma-def_binary64`
37×	`associate-+l+_binary64`
25×	`associate-+r+_binary64`
20×	`distribute-rgt-in_binary64`
15×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	438
1	33	330
2	71	318
3	164	318
4	279	318
5	325	318
6	359	318
7	365	318

Stop Event

1×

saturated

Counts

112 → 86

Calls

Call 1

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

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

eval19.0ms (0.3%)

Compiler: Compiled 1162 to 452 computations (61.1% saved)

prune17.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	5	87

Error

Counts

87 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
▶	30.0b	(*.f64 y (+.f64 1 z))
▶	33.3b	(*.f64 (+.f64 1 z) x)
▶	41.6b	(*.f64 (+.f64 y x) z)
▶	21.7b	(+.f64 y x)

Compiler

Compiled 84 to 54 computations (35.7% saved)

localize9.0ms (0.2%)

Compiler: Compiled 23 to 6 computations (73.9% saved)

localize6.0ms (0.1%)

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

localize43.0ms (0.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (+.f64 1 z))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 y (+.f64 1 z))
1.0ms	y	@	inf	(*.f64 y (+.f64 1 z))
1.0ms	z	@	-inf	(*.f64 y (+.f64 1 z))
1.0ms	y	@	-inf	(*.f64 y (+.f64 1 z))
1.0ms	z	@	0	(*.f64 y (+.f64 1 z))

rewrite66.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`pow1_binary64`
598×	`add-log-exp_binary64`
598×	`log1p-expm1-u_binary64`
598×	`expm1-log1p-u_binary64`
585×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	126	7
2	1666	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

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

Outputs

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

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`
3×	`*-lft-identity_binary64`
3×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	54
1	8	54
2	12	54
3	16	54
4	22	54
5	28	54
6	41	54
7	45	54
8	47	54

Stop Event

1×

saturated

Counts

38 → 29

Calls

Call 1

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

Outputs
y
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(*.f64 y z)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)

localize15.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 z) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(*.f64 (+.f64 1 z) x)
1.0ms	z	@	0	(*.f64 (+.f64 1 z) x)
1.0ms	x	@	0	(*.f64 (+.f64 1 z) x)
1.0ms	x	@	inf	(*.f64 (+.f64 1 z) x)
1.0ms	x	@	-inf	(*.f64 (+.f64 1 z) x)

rewrite138.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1520	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`
3×	`*-lft-identity_binary64`
3×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	54
1	11	54
2	16	54
3	22	54
4	28	54
5	41	54
6	45	54
7	47	54

Stop Event

1×

saturated

Counts

31 → 23

Calls

Call 1

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

Outputs
x
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(fma.f64 x z x)

localize9.0ms (0.2%)

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

eval17.0ms (0.3%)

Compiler: Compiled 425 to 186 computations (56.2% saved)

prune16.0ms (0.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	49	8	57

Error

Counts

57 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.6b	(*.f64 z x)
▶	30.0b	(+.f64 (*.f64 y z) y)
✓	33.3b	(*.f64 (+.f64 1 z) x)
▶	51.7b	(*.f64 y z)
	41.2b	y
	43.3b	x
✓	41.6b	(*.f64 (+.f64 y x) z)
✓	21.7b	(+.f64 y x)

Compiler

Compiled 50 to 34 computations (32% saved)

localize6.0ms (0.1%)

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

localize6.0ms (0.1%)

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

localize21.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series4.0ms (0.1%)

Counts

1 → 15

Calls

6 calls:

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

rewrite95.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`pow1_binary64`
575×	`add-log-exp_binary64`
575×	`log1p-expm1-u_binary64`
575×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	110	5
2	1565	5

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify32.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

62×	`fma-def_binary64`
59×	`fma-neg_binary64`
22×	`associate-l_binary64`
21×	`unsub-neg_binary64`
18×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	93
1	32	93
2	63	69
3	159	69
4	232	69
5	323	69
6	384	69

Stop Event

1×

saturated

Counts

53 → 41

Calls

Call 1

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

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

eval255.0ms (4.4%)

Compiler: Compiled 439 to 167 computations (62% saved)

prune16.0ms (0.3%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	5	5
Total	41	8	49

Error

Counts

49 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	52.6b	(*.f64 z x)
✓	30.0b	(+.f64 (*.f64 y z) y)
✓	33.3b	(*.f64 (+.f64 1 z) x)
✓	51.7b	(*.f64 y z)
	41.2b	y
	43.3b	x
✓	41.6b	(*.f64 (+.f64 y x) z)
✓	21.7b	(+.f64 y x)

Compiler

Compiled 50 to 34 computations (32% saved)

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	6	6
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	52.6b	(*.f64 z x)
✓	30.0b	(+.f64 (*.f64 y z) y)
✓	33.3b	(*.f64 (+.f64 1 z) x)
✓	51.7b	(*.f64 y z)
	41.2b	y
	43.3b	x
✓	41.6b	(*.f64 (+.f64 y x) z)
✓	21.7b	(+.f64 y x)

Compiler

Compiled 50 to 34 computations (32% saved)

regimes272.0ms (4.7%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

7 calls:

197.0ms	(+.f64 z 1)
15.0ms	(+.f64 x y)
13.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))
13.0ms	x
13.0ms	z

Results

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

Compiler

Compiled 90 to 50 computations (44.4% saved)

regimes106.0ms (1.8%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

48.0ms	x
12.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))
12.0ms	z
11.0ms	(+.f64 x y)
10.0ms	y

Results

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

Compiler

Compiled 75 to 43 computations (42.7% saved)

regimes158.0ms (2.7%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

69.0ms	y
56.0ms	x
30.0ms	z

Results

Error	Segments	Branch
10.1b	5	`x`
10.8b	4	`y`
1.5b	3	`z`

Compiler

Compiled 46 to 23 computations (50% saved)

bsearch57.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	0.018921147035074054	1740856969152453.8
30.0ms	-31.478184482420488	-0.035807130882869256

Compiler

Compiled 16 to 12 computations (25% saved)

regimes98.0ms (1.7%)

Counts

8 → 6

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	z
24.0ms	x
17.0ms	y

Results

Error	Segments	Branch
10.0b	5	`x`
11.9b	2	`y`
7.8b	6	`z`

Compiler

Compiled 41 to 22 computations (46.3% saved)

bsearch154.0ms (2.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
17.0ms	5.528043891926385e-19	6.47471464451775e-12
18.0ms	-0.035807130882869256	-0.00010831530909749467
17.0ms	-36111370392.179504	-69709375.1095636
86.0ms	-3.914912478849026e+82	-4.04391276039134e+61
15.0ms	-2.996705106672888e+255	-2.489878697669184e+253

Compiler

Compiled 290 to 203 computations (30% saved)

regimes71.0ms (1.2%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	z
23.0ms	x
23.0ms	y

Results

Error	Segments	Branch
13.7b	4	`x`
16.8b	4	`y`
8.0b	5	`z`

Compiler

Compiled 36 to 19 computations (47.2% saved)

bsearch132.0ms (2.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	5.528043891926385e-19	6.47471464451775e-12
21.0ms	-4.017554387597311e-9	-5.246900060779784e-20
79.0ms	-3.914912478849026e+82	-4.04391276039134e+61
15.0ms	-2.996705106672888e+255	-2.489878697669184e+253

Compiler

Compiled 290 to 203 computations (30% saved)

regimes56.0ms (1%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	x
20.0ms	z
12.0ms	y

Results

Error	Segments	Branch
19.0b	5	`x`
20.6b	3	`y`
8.9b	5	`z`

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch333.0ms (5.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
85.0ms	1740856969152453.8	3151126250422791.0
30.0ms	-31.478184482420488	-0.035807130882869256
193.0ms	-3.914912478849026e+82	-4.04391276039134e+61
24.0ms	-2.996705106672888e+255	-2.489878697669184e+253

Compiler

Compiled 268 to 192 computations (28.4% saved)

regimes222.0ms (3.8%)

Counts

4 → 8

Calls

Call 1

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

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

Calls

3 calls:

87.0ms	z
83.0ms	y
50.0ms	x

Results

Error	Segments	Branch
25.5b	6	`x`
27.3b	4	`y`
25.0b	8	`z`

Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch391.0ms (6.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
31.0ms	1740856969152453.8	3151126250422791.0
30.0ms	1.994141835013185e-235	3.846984636389922e-230
33.0ms	-1.5542405588429804e-298	-8.735456662434021e-305
31.0ms	-1.1290394694002773e-173	-1.3412609185093773e-178
33.0ms	-31.478184482420488	-0.035807130882869256
183.0ms	-3.914912478849026e+82	-4.04391276039134e+61
49.0ms	-2.996705106672888e+255	-2.489878697669184e+253

Compiler

Compiled 268 to 192 computations (28.4% saved)

regimes60.0ms (1%)

Counts

3 → 4

Calls

Call 1

Inputs
y
x
(*.f64 z x)

Outputs
x
(*.f64 z x)
x
y

Calls

3 calls:

25.0ms	z
17.0ms	x
16.0ms	y

Results

Error	Segments	Branch
26.9b	4	`x`
27.3b	4	`y`
28.3b	6	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch108.0ms (1.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
17.0ms	-2.1176365809792705e-46	-2.2089617296622055e-49
16.0ms	-1.7777300221429666e-13	-3.096090310677828e-15
75.0ms	-2.263247557414072e+90	-2.9390981790824615e+89

Compiler

Compiled 88 to 66 computations (25% saved)

regimes33.0ms (0.6%)

Accuracy

Total -33.3b remaining (-115.9%)

Threshold costs -33.3b (-115.9%)

Counts

2 → 2

Calls

Call 1

Inputs
y
x

Outputs
x
y

Calls

3 calls:

12.0ms	z
10.0ms	y
10.0ms	x

Results

Error	Segments	Branch
29.0b	2	`x`
28.8b	2	`y`
37.7b	4	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch17.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	8.756464250608995e-96	2.1162337836756516e-94

Compiler

Compiled 16 to 12 computations (25% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	306
1	92	306

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) (+.f64 z 1))
(if (<=.f64 z -276885038877595/8796093022208) (.f64 (+.f64 y x) z) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 y x) (.f64 (+.f64 y x) z)))
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (.f64 y z) (if (<=.f64 z -5000000000000000362657181907646175630791872048232609777591050777395200) (.f64 z x) (if (<=.f64 z -591648692505469/16384) (+.f64 (.f64 y z) y) (if (<=.f64 z -2580175700820745/72057594037927936) (.f64 (+.f64 1 z) x) (if (<=.f64 z 2870324493389201/5192296858534827628530496329220096) (+.f64 y x) (+.f64 (*.f64 y z) y))))))
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (.f64 y z) (if (<=.f64 z -5000000000000000362657181907646175630791872048232609777591050777395200) (.f64 z x) (if (<=.f64 z -4856925230872429/1208925819614629174706176) (+.f64 (.f64 y z) y) (if (<=.f64 z 2870324493389201/5192296858534827628530496329220096) (+.f64 y x) (+.f64 (.f64 y z) y)))))
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (.f64 y z) (if (<=.f64 z -5000000000000000362657181907646175630791872048232609777591050777395200) (.f64 z x) (if (<=.f64 z -276885038877595/8796093022208) (.f64 y z) (if (<=.f64 z 6963427876609815/4) (+.f64 y x) (.f64 y z)))))
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (.f64 y z) (if (<=.f64 z -5000000000000000362657181907646175630791872048232609777591050777395200) (.f64 z x) (if (<=.f64 z -276885038877595/8796093022208) (.f64 y z) (if (<=.f64 z -1572014017971935/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432) x (if (<=.f64 z -7324428094817161/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) y (if (<=.f64 z 5711003641275395/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) x (if (<=.f64 z 6963427876609815/4) y (.f64 y z))))))))
(if (<=.f64 x -300000000000000012560876243802489433613763837295394653485696259200676590587773145751486464) x (if (<=.f64 x -7042314155041485/39614081257132168796771975168) (*.f64 z x) (if (<=.f64 x -2722328628712099/12855504354071922204335696738729300820177623950262342682411008) x y)))
(if (<=.f64 y 5264621866775549/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) x y)
y

Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(+.f64 (*.f64 z (+.f64 x y)) (+.f64 x y))
(*.f64 (+.f64 x y) (+.f64 z 1))
(*.f64 (+.f64 z 1) (+.f64 x y))
(if (<=.f64 z -276885038877595/8796093022208) (.f64 (+.f64 y x) z) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 y x) (.f64 (+.f64 y x) z)))
(if (<=.f64 z -276885038877595/8796093022208) (.f64 z (+.f64 x y)) (if (<=.f64 z 681706165892655/36028797018963968) (+.f64 x y) (.f64 z (+.f64 x y))))
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (.f64 y z) (if (<=.f64 z -5000000000000000362657181907646175630791872048232609777591050777395200) (.f64 z x) (if (<=.f64 z -591648692505469/16384) (+.f64 (.f64 y z) y) (if (<=.f64 z -2580175700820745/72057594037927936) (.f64 (+.f64 1 z) x) (if (<=.f64 z 2870324493389201/5192296858534827628530496329220096) (+.f64 y x) (+.f64 (*.f64 y z) y))))))
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (.f64 y z) (if (<=.f64 z -5000000000000000362657181907646175630791872048232609777591050777395200) (.f64 x z) (if (<=.f64 z -591648692505469/16384) (+.f64 y (.f64 y z)) (if (<=.f64 z -2580175700820745/72057594037927936) (.f64 x (+.f64 z 1)) (if (<=.f64 z 2870324493389201/5192296858534827628530496329220096) (+.f64 x y) (+.f64 y (*.f64 y z)))))))
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (.f64 y z) (if (<=.f64 z -5000000000000000362657181907646175630791872048232609777591050777395200) (.f64 z x) (if (<=.f64 z -4856925230872429/1208925819614629174706176) (+.f64 (.f64 y z) y) (if (<=.f64 z 2870324493389201/5192296858534827628530496329220096) (+.f64 y x) (+.f64 (.f64 y z) y)))))
(if (<=.f64 z -24999999999999998408967673444189794341064268318925183912098601808395390695131768872233467486467368944952587956523514231137876660413285839359430656023550013900454299256803096420322156093509995690884579934801657876943589895734499290602919924235122570690560) (.f64 y z) (if (<=.f64 z -5000000000000000362657181907646175630791872048232609777591050777395200) (.f64 x z) (if (<=.f64 z -4856925230872429/1208925819614629174706176) (+.f64 y (.f64 y z)) (if (<=.f64 z 2870324493389201/5192296858534827628530496329220096) (+.f64 x y) (+.f64 y (.f64 y z))))))
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y

Compiler

Compiled 246 to 134 computations (45.5% saved)

soundness0.0ms (0%)

end86.0ms (1.5%)

Remove: (sort x y)
Compiler: Compiled 243 to 105 computations (56.8% saved)

Details

analyze372.0ms (6.4%)

sample2.0s (34.5%)

preprocess35.0ms (0.6%)

simplify12.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize55.0ms (1%)

series5.0ms (0.1%)

rewrite56.0ms (1%)

simplify23.0ms (0.4%)

eval19.0ms (0.3%)

prune17.0ms (0.3%)

localize9.0ms (0.2%)

localize6.0ms (0.1%)

localize43.0ms (0.8%)

series4.0ms (0.1%)

rewrite66.0ms (1.1%)

simplify51.0ms (0.9%)

localize15.0ms (0.3%)

series4.0ms (0.1%)

rewrite138.0ms (2.4%)

simplify14.0ms (0.2%)

localize9.0ms (0.2%)

eval17.0ms (0.3%)

prune16.0ms (0.3%)

localize6.0ms (0.1%)

localize6.0ms (0.1%)

localize21.0ms (0.4%)

series4.0ms (0.1%)

rewrite95.0ms (1.6%)

simplify32.0ms (0.5%)

eval255.0ms (4.4%)

prune16.0ms (0.3%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes272.0ms (4.7%)

regimes106.0ms (1.8%)

regimes158.0ms (2.7%)

bsearch57.0ms (1%)

regimes98.0ms (1.7%)

bsearch154.0ms (2.7%)

regimes71.0ms (1.2%)

bsearch132.0ms (2.3%)

regimes56.0ms (1%)

bsearch333.0ms (5.7%)

regimes222.0ms (3.8%)

bsearch391.0ms (6.7%)

regimes60.0ms (1%)

bsearch108.0ms (1.9%)

regimes33.0ms (0.6%)

bsearch17.0ms (0.3%)

simplify11.0ms (0.2%)

soundness0.0ms (0%)

end86.0ms (1.5%)

Profiling