Details

analyze157.0ms (1.3%)

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
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
37.6%	34.3%	56.9%	0.1%	8.6%	0%	0%	10
44.8%	40.6%	49.9%	0.1%	9.4%	0%	0%	11
53.4%	48%	41.9%	0.1%	9.9%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.2s (26.4%)

Results

2.9s	8253×	body	256	valid
199.0ms	1192×	body	256	infinite
0.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess4.0ms (0%)

Algorithm

2×	egg-herbie

Rules

6×	`rational.json-simplify-2`
6×	`rational.json-simplify-1`
2×	`swap-x-y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	22	76
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 1 z))
(*.f64 (+.f64 y x) (-.f64 1 z))
(*.f64 (+.f64 z y) (-.f64 1 x))
(*.f64 (+.f64 x z) (-.f64 1 y))

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	11	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

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 1 z))

Compiler

Compiled 10 to 7 computations (30% saved)

localize373.0ms (3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite227.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`rational.json-simplify-1`
1308×	`exponential.json-3`
1308×	`rational.json-1`
1308×	`rational.json-2`
1308×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	68	19
2	149	19
3	283	19
4	529	19
5	1169	19
6	2921	19
7	5158	19
8	6314	19
9	7270	19
10	7350	19
11	7442	19
12	7531	19

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 x y) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)) (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (.f64 (-.f64 1 z) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x y) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 z) (*.f64 (+.f64 x y) 1/2)) (*.f64 (-.f64 1 z) (*.f64 (+.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (*.f64 (+.f64 x y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 1 z) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 1)))))

simplify575.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

2520×	`rational.json-simplify-2`
2018×	`rational.json-simplify-35`
1368×	`rational.json-simplify-1`
1350×	`rational.json-simplify-53`
1132×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	883
1	133	879
2	275	879
3	663	879
4	2900	879
5	4689	879
6	5314	879
7	5433	879
8	5520	879
9	5594	879
10	6341	879
11	7056	879
12	7164	879
13	7231	879
14	7298	879
15	7365	879
16	7432	879
17	7499	879
18	7566	879
19	7566	879
20	7566	879

Stop Event

1×	node limit

Counts

49 → 25

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 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (-.f64 1 z)) (.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 (-.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 (.f64 -1 (.f64 (+.f64 y x) z)) (+.f64 y x))
(+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) (+.f64 y x))
(+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) (+.f64 y x))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 0)
(+.f64 0 (*.f64 (+.f64 x y) (-.f64 1 z)))
(+.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)) (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)))
(-.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 0)
(/.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 1)
(/.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 2)) 2)
(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 1 z) 4)) 4)
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 8))))) 128)
(pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 1)

Outputs
(*.f64 y (-.f64 1 z))
(+.f64 (.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)))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(*.f64 (-.f64 1 z) (+.f64 y x))
(*.f64 (-.f64 1 z) x)
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(*.f64 (-.f64 1 z) x)
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(*.f64 (-.f64 1 z) x)
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(*.f64 y (-.f64 1 z))
(+.f64 (.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)))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(*.f64 (-.f64 1 z) (+.f64 y x))
(*.f64 y (-.f64 1 z))
(+.f64 (.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)))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 y x)
(+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) (+.f64 y x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) (+.f64 y x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) (+.f64 y x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(.f64 -1 (.f64 (+.f64 y x) z))
(.f64 -1 (.f64 z (+.f64 y x)))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 y x)))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(.f64 -1 (.f64 (+.f64 y x) z))
(.f64 -1 (.f64 z (+.f64 y x)))
(*.f64 (+.f64 y x) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 y x)))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 0)
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 0 (*.f64 (+.f64 x y) (-.f64 1 z)))
(*.f64 (-.f64 1 z) (+.f64 y x))
(+.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)) (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)))
(*.f64 (-.f64 1 z) (+.f64 y x))
(-.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 0)
(*.f64 (-.f64 1 z) (+.f64 y x))
(/.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 1)
(*.f64 (-.f64 1 z) (+.f64 y x))
(/.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 2)) 2)
(*.f64 (-.f64 1 z) (+.f64 y x))
(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 1 z) 4)) 4)
(*.f64 (-.f64 1 z) (+.f64 y x))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 8) 8)
(*.f64 (-.f64 1 z) (+.f64 y x))
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 8)) 16)
(*.f64 (-.f64 1 z) (+.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 8))) 32)
(*.f64 (-.f64 1 z) (+.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 8)))) 64)
(*.f64 (-.f64 1 z) (+.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 8))))) 128)
(*.f64 (-.f64 1 z) (+.f64 y x))
(pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 1)
(*.f64 (-.f64 1 z) (+.f64 y x))

eval6.0ms (0.1%)

Compiler: Compiled 254 to 150 computations (40.9% saved)

prune7.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	6	26

Error

Counts

26 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) (+.f64 y x))
▶	27.2b	(+.f64 y x)
▶	28.7b	(*.f64 (-.f64 1 z) x)
▶	37.2b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
▶	34.3b	(*.f64 y (-.f64 1 z))

Compiler

Compiled 100 to 67 computations (33% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 11 computations (66.7% saved)

series4.0ms (0%)

Counts

2 → 57

Calls

18 calls:

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

rewrite100.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`exponential.json-3`
1470×	`rational.json-1`
1470×	`rational.json-2`
1470×	`rational.json-4`
1470×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	74	36
2	179	36
3	385	32
4	844	32
5	2297	32
6	4530	32
7	6199	32

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y (+.f64 x (-.f64 1 (.f64 (+.f64 y x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y x) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 y x) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 y x) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 y x) (/.f64 (-.f64 1 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 (-.f64 1 z) 1/2) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 y x) 2) (.f64 (-.f64 1 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 y x) 2) (/.f64 (-.f64 1 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 y x) (-.f64 (-.f64 2 z) z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 z) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 y x) (-.f64 (-.f64 2 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (-.f64 2 z) z) (.f64 (+.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 y x) 1/2) (-.f64 (-.f64 2 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 y x) (/.f64 (-.f64 1 z) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 z) 1/2) (.f64 (+.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 z) 2) (.f64 (+.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 -1 z)) (/.f64 (+.f64 y x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 y x) (-.f64 (-.f64 2 z) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 y x) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 y x) (.f64 z 1/2)) (.f64 (+.f64 y x) (.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 y x) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 y x) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 y x) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (+.f64 y x) z) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y x) z) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y x) z) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y x) z) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 y x) z) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y (+.f64 x (-.f64 1 (*.f64 (+.f64 y x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 y x) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 y x) (/.f64 (-.f64 1 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (-.f64 1 z) 1/2) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) 2) (*.f64 (-.f64 1 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) 2) (/.f64 (-.f64 1 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) (-.f64 (-.f64 2 z) z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 z) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 y x) (-.f64 (-.f64 2 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (-.f64 2 z) z) (*.f64 (+.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) 1/2) (-.f64 (-.f64 2 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 1 z) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 z) 1/2) (*.f64 (+.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 z) 2) (*.f64 (+.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 -1 z)) (/.f64 (+.f64 y x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) (-.f64 (-.f64 2 z) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y x) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y x) (*.f64 z 1/2)) (*.f64 (+.f64 y x) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 y x) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y x) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (+.f64 y x) z) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 y x) z) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 y x) z) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 y x) z) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y x) z) 1)))))

simplify283.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2060×	`rational.json-simplify-1`
1760×	`rational.json-simplify-35`
1632×	`rational.json-simplify-2`
1236×	`rational.json-simplify-41`
824×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	2661
1	280	2323
2	609	2323
3	1569	1885
4	3159	1885
5	4767	1885
6	5233	1885
7	5647	1885
8	6096	1885
9	6625	1885
10	7395	1885

Stop Event

1×	node limit

Counts

99 → 88

Calls

Call 1

Inputs
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) y) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) y) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) y) (+.f64 (.f64 -1 (.f64 z x)) x))
(.f64 (+.f64 (.f64 -1 z) 1) y)
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) y) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) y) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) y) (+.f64 (.f64 -1 (.f64 z x)) x))
(.f64 -1 (.f64 (-.f64 z 1) y))
(+.f64 (.f64 -1 (.f64 (-.f64 z 1) y)) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 -1 (.f64 (-.f64 z 1) y)) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 -1 (.f64 (-.f64 z 1) y)) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) (+.f64 (.f64 -1 (.f64 y z)) y))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) (+.f64 (.f64 -1 (.f64 y z)) y))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) (+.f64 (.f64 -1 (.f64 y z)) y))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) (+.f64 (.f64 -1 (.f64 y z)) y))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) (+.f64 (.f64 -1 (.f64 y z)) y))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) x) (+.f64 (.f64 -1 (.f64 y z)) y))
(.f64 -1 (.f64 (-.f64 z 1) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (-.f64 z 1) x))))
(+.f64 y (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (-.f64 z 1) x))))
(+.f64 y (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (-.f64 z 1) x))))
(+.f64 y x)
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(-.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 0)
(-.f64 (+.f64 y (+.f64 x (-.f64 1 (*.f64 (+.f64 y x) z)))) 1)
(*.f64 (+.f64 y x) (-.f64 1 z))
(.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 1)
(.f64 1 (.f64 (+.f64 y x) (-.f64 1 z)))
(.f64 2 (.f64 (+.f64 y x) (/.f64 (-.f64 1 z) 2)))
(.f64 2 (.f64 (*.f64 (-.f64 1 z) 1/2) (+.f64 y x)))
(.f64 (.f64 (+.f64 y x) 2) (*.f64 (-.f64 1 z) 1/2))
(.f64 (.f64 (+.f64 y x) 2) (/.f64 (-.f64 1 z) 2))
(.f64 (.f64 (+.f64 y x) (-.f64 (-.f64 2 z) z)) 1/2)
(*.f64 (-.f64 1 z) (+.f64 y x))
(.f64 4 (/.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4))
(.f64 (.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 y x) (-.f64 (-.f64 2 z) z)))
(.f64 (-.f64 (-.f64 2 z) z) (.f64 (+.f64 y x) 1/2))
(.f64 (.f64 (+.f64 y x) 1/2) (-.f64 (-.f64 2 z) z))
(.f64 (.f64 (+.f64 y x) (/.f64 (-.f64 1 z) 2)) 2)
(.f64 (.f64 (-.f64 1 z) 1/2) (*.f64 (+.f64 y x) 2))
(.f64 1/4 (.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 4))
(.f64 (/.f64 (-.f64 1 z) 2) (.f64 (+.f64 y x) 2))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4) 4)
(.f64 (.f64 2 (+.f64 -1 z)) (/.f64 (+.f64 y x) -2))
(/.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 1)
(/.f64 (*.f64 (+.f64 y x) (-.f64 (-.f64 2 z) z)) 2)
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4) 4)
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 4))))) 64)
(pow.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 1)
(+.f64 (*.f64 (+.f64 y x) z) 0)
(+.f64 0 (*.f64 (+.f64 y x) z))
(+.f64 (.f64 (+.f64 y x) (.f64 z 1/2)) (.f64 (+.f64 y x) (.f64 z 1/2)))
(-.f64 (*.f64 (+.f64 y x) z) 0)
(/.f64 (*.f64 (+.f64 y x) z) 1)
(/.f64 (*.f64 (+.f64 y x) (+.f64 z z)) 2)
(/.f64 (.f64 (.f64 (+.f64 y x) z) 4) 4)
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 y x) z) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y x) z) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (+.f64 y x) z) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y x) z) 4))))) 64)
(pow.f64 (*.f64 (+.f64 y x) z) 1)

Outputs
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 -1 (.f64 z x)))
(+.f64 x (*.f64 z (neg.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) y) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 -1 (.f64 z x)) (+.f64 x (.f64 (+.f64 (.f64 -1 z) 1) y)))
(+.f64 (+.f64 x (.f64 z (neg.f64 x))) (.f64 (+.f64 (neg.f64 z) 1) y))
(+.f64 (.f64 z (neg.f64 x)) (+.f64 x (.f64 y (-.f64 1 z))))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) y) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 -1 (.f64 z x)) (+.f64 x (.f64 (+.f64 (.f64 -1 z) 1) y)))
(+.f64 (+.f64 x (.f64 z (neg.f64 x))) (.f64 (+.f64 (neg.f64 z) 1) y))
(+.f64 (.f64 z (neg.f64 x)) (+.f64 x (.f64 y (-.f64 1 z))))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) y) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 -1 (.f64 z x)) (+.f64 x (.f64 (+.f64 (.f64 -1 z) 1) y)))
(+.f64 (+.f64 x (.f64 z (neg.f64 x))) (.f64 (+.f64 (neg.f64 z) 1) y))
(+.f64 (.f64 z (neg.f64 x)) (+.f64 x (.f64 y (-.f64 1 z))))
(.f64 (+.f64 (.f64 -1 z) 1) y)
(*.f64 (+.f64 (neg.f64 z) 1) y)
(*.f64 y (-.f64 1 z))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) y) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 -1 (.f64 z x)) (+.f64 x (.f64 (+.f64 (.f64 -1 z) 1) y)))
(+.f64 (+.f64 x (.f64 z (neg.f64 x))) (.f64 (+.f64 (neg.f64 z) 1) y))
(+.f64 (.f64 z (neg.f64 x)) (+.f64 x (.f64 y (-.f64 1 z))))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) y) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 -1 (.f64 z x)) (+.f64 x (.f64 (+.f64 (.f64 -1 z) 1) y)))
(+.f64 (+.f64 x (.f64 z (neg.f64 x))) (.f64 (+.f64 (neg.f64 z) 1) y))
(+.f64 (.f64 z (neg.f64 x)) (+.f64 x (.f64 y (-.f64 1 z))))
(+.f64 (.f64 (+.f64 (.f64 -1 z) 1) y) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 -1 (.f64 z x)) (+.f64 x (.f64 (+.f64 (.f64 -1 z) 1) y)))
(+.f64 (+.f64 x (.f64 z (neg.f64 x))) (.f64 (+.f64 (neg.f64 z) 1) y))
(+.f64 (.f64 z (neg.f64 x)) (+.f64 x (.f64 y (-.f64 1 z))))
(.f64 -1 (.f64 (-.f64 z 1) y))
(.f64 (+.f64 (.f64 -1 z) 1) y)
(*.f64 (+.f64 (neg.f64 z) 1) y)
(*.f64 y (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 (-.f64 z 1) y)) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 -1 (.f64 z x)) (+.f64 x (.f64 (+.f64 (.f64 -1 z) 1) y)))
(+.f64 (+.f64 x (.f64 z (neg.f64 x))) (.f64 (+.f64 (neg.f64 z) 1) y))
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(+.f64 x (+.f64 y (*.f64 z (neg.f64 (+.f64 x y)))))
(*.f64 (+.f64 x y) (-.f64 1 z))
(pow.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 1)
(+.f64 (.f64 -1 (.f64 z (+.f64 x y))) (+.f64 x y))
(+.f64 x (+.f64 y (*.f64 (neg.f64 z) (+.f64 x y))))
(+.f64 x (+.f64 y (*.f64 z (neg.f64 (+.f64 x y)))))
(*.f64 (+.f64 x y) (-.f64 1 z))
(+.f64 (*.f64 (+.f64 y x) z) 0)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 0 (*.f64 (+.f64 y x) z))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 (+.f64 y x) (.f64 z 1/2)) (.f64 (+.f64 y x) (.f64 z 1/2)))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(-.f64 (*.f64 (+.f64 y x) z) 0)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (*.f64 (+.f64 y x) z) 1)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (*.f64 (+.f64 y x) (+.f64 z z)) 2)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (.f64 (.f64 (+.f64 y x) z) 4) 4)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 y x) z) 4)) 8)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y x) z) 4))) 16)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (+.f64 y x) z) 4)))) 32)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 y x) z) 4))))) 64)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))
(pow.f64 (*.f64 (+.f64 y x) z) 1)
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 z (+.f64 x y))

localize3.0ms (0%)

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

localize7.0ms (0.1%)

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)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite198.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`rational.json-simplify-35`
1384×	`exponential.json-3`
1384×	`rational.json-1`
1384×	`rational.json-2`
1384×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	55	13
2	128	13
3	238	13
4	428	13
5	912	13
6	2337	13
7	4223	13
8	5298	13
9	6558	13
10	7658	13
11	7840	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 y (+.f64 z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (+.f64 y y) (*.f64 (+.f64 z -1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (-.f64 1 z) 1/2)) (*.f64 y (*.f64 (-.f64 1 z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 y y) (*.f64 (+.f64 z -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (-.f64 1 z) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (-.f64 1 z) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (-.f64 1 z) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y (*.f64 (-.f64 1 z) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 y (*.f64 (-.f64 1 z) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 z -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y y) (*.f64 (+.f64 z -1) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y (*.f64 (-.f64 1 z) 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y (*.f64 (-.f64 1 z) 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y (*.f64 (-.f64 1 z) 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 y y) (*.f64 (+.f64 z -1) 1/2)))))))

simplify378.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2104×	`rational.json-simplify-35`
2012×	`rational.json-simplify-2`
1882×	`rational.json-simplify-53`
1058×	`rational.json-simplify-1`
982×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	484
1	170	462
2	333	462
3	768	462
4	2596	462
5	4354	462
6	4980	462
7	5184	462
8	5340	462
9	5515	462
10	6383	462
11	7569	462
12	7694	462
13	7745	462
14	7769	462
15	7787	462
16	7926	462

Stop Event

1×	node limit

Counts

34 → 31

Calls

Call 1

Inputs
y
(+.f64 (.f64 -1 (.f64 y z)) y)
(+.f64 (.f64 -1 (.f64 y z)) y)
(+.f64 (.f64 -1 (.f64 y z)) y)
(.f64 -1 (.f64 y z))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 (*.f64 y (-.f64 1 z)) 0)
(+.f64 0 (*.f64 y (-.f64 1 z)))
(+.f64 -1 (-.f64 1 (*.f64 y (+.f64 z -1))))
(+.f64 -1 (-.f64 1 (.f64 (+.f64 y y) (.f64 (+.f64 z -1) 1/2))))
(+.f64 (.f64 y (.f64 (-.f64 1 z) 1/2)) (.f64 y (.f64 (-.f64 1 z) 1/2)))
(-.f64 (*.f64 y (-.f64 1 z)) 0)
(-.f64 0 (*.f64 y (+.f64 z -1)))
(-.f64 0 (.f64 (+.f64 y y) (.f64 (+.f64 z -1) 1/2)))
(/.f64 (*.f64 y (-.f64 1 z)) 1)
(/.f64 (.f64 y (.f64 (-.f64 1 z) 2)) 2)
(/.f64 (.f64 y (.f64 (-.f64 1 z) 4)) 4)
(/.f64 (.f64 y (.f64 (-.f64 1 z) 8)) 8)
(/.f64 (.f64 2 (.f64 y (*.f64 (-.f64 1 z) 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 y (.f64 (-.f64 1 z) 8)))) 32)
(/.f64 (*.f64 y (+.f64 z -1)) -1)
(/.f64 (.f64 (+.f64 y y) (.f64 (+.f64 z -1) 1/2)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 y (*.f64 (-.f64 1 z) 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y (.f64 (-.f64 1 z) 8)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y (*.f64 (-.f64 1 z) 8))))))) 256)
(pow.f64 (*.f64 y (-.f64 1 z)) 1)
(neg.f64 (*.f64 y (+.f64 z -1)))
(neg.f64 (.f64 (+.f64 y y) (.f64 (+.f64 z -1) 1/2)))

Outputs
y
(+.f64 (.f64 -1 (.f64 y z)) y)
(+.f64 y (.f64 y (.f64 z -1)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) y)
(+.f64 y (.f64 y (.f64 z -1)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) y)
(+.f64 y (.f64 y (.f64 z -1)))
(+.f64 y (*.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(.f64 y (.f64 z -1))
(*.f64 y (neg.f64 z))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 y (.f64 z -1)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 y (.f64 z -1)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 y (.f64 z -1)))
(+.f64 y (*.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(.f64 y (.f64 z -1))
(*.f64 y (neg.f64 z))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 y (.f64 z -1)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 y (.f64 z -1)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 y (.f64 z -1)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 y (-.f64 1 z)) 0)
(*.f64 y (-.f64 1 z))
(+.f64 0 (*.f64 y (-.f64 1 z)))
(*.f64 y (-.f64 1 z))
(+.f64 -1 (-.f64 1 (*.f64 y (+.f64 z -1))))
(*.f64 y (-.f64 1 z))
(+.f64 -1 (-.f64 1 (.f64 (+.f64 y y) (.f64 (+.f64 z -1) 1/2))))
(*.f64 y (-.f64 1 z))
(+.f64 (.f64 y (.f64 (-.f64 1 z) 1/2)) (.f64 y (.f64 (-.f64 1 z) 1/2)))
(*.f64 y (-.f64 1 z))
(-.f64 (*.f64 y (-.f64 1 z)) 0)
(*.f64 y (-.f64 1 z))
(-.f64 0 (*.f64 y (+.f64 z -1)))
(*.f64 y (-.f64 1 z))
(-.f64 0 (.f64 (+.f64 y y) (.f64 (+.f64 z -1) 1/2)))
(*.f64 y (-.f64 1 z))
(/.f64 (*.f64 y (-.f64 1 z)) 1)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 y (.f64 (-.f64 1 z) 2)) 2)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 y (.f64 (-.f64 1 z) 4)) 4)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 y (.f64 (-.f64 1 z) 8)) 8)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 2 (.f64 y (*.f64 (-.f64 1 z) 8))) 16)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 2 (.f64 2 (.f64 y (.f64 (-.f64 1 z) 8)))) 32)
(*.f64 y (-.f64 1 z))
(/.f64 (*.f64 y (+.f64 z -1)) -1)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 (+.f64 y y) (.f64 (+.f64 z -1) 1/2)) -1)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 y (*.f64 (-.f64 1 z) 8))))) 64)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y (.f64 (-.f64 1 z) 8)))))) 128)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y (*.f64 (-.f64 1 z) 8))))))) 256)
(*.f64 y (-.f64 1 z))
(pow.f64 (*.f64 y (-.f64 1 z)) 1)
(*.f64 y (-.f64 1 z))
(neg.f64 (*.f64 y (+.f64 z -1)))
(*.f64 y (-.f64 1 z))
(neg.f64 (.f64 (+.f64 y y) (.f64 (+.f64 z -1) 1/2)))
(*.f64 y (-.f64 1 z))

localize5.0ms (0%)

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)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite316.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`rational.json-simplify-35`
1384×	`exponential.json-3`
1384×	`rational.json-1`
1384×	`rational.json-2`
1384×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	55	13
2	128	13
3	238	13
4	428	13
5	912	13
6	2338	13
7	4229	13
8	5306	13
9	6566	13
10	7666	13
11	7848	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 z) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 x (+.f64 z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (+.f64 x x) (*.f64 (+.f64 z -1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 z) (*.f64 x 1/2)) (*.f64 (-.f64 1 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 z) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 x x) (*.f64 (+.f64 z -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (*.f64 x 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 z -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 z -1) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 z -1) 1/2)))))))

simplify456.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2980×	`rational.json-simplify-35`
1934×	`rational.json-simplify-2`
1694×	`rational.json-simplify-53`
1000×	`rational.json-simplify-1`
916×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	484
1	166	462
2	329	462
3	715	462
4	2346	462
5	4047	462
6	4669	462
7	4908	462
8	5097	462
9	5304	462
10	6040	462
11	7109	462
12	7195	462
13	7263	462
14	7284	462
15	7466	462
16	7637	462
17	7804	462
18	7969	462

Stop Event

1×	node limit

Counts

34 → 32

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (*.f64 (-.f64 1 z) x) 0)
(+.f64 0 (*.f64 (-.f64 1 z) x))
(+.f64 -1 (-.f64 1 (*.f64 x (+.f64 z -1))))
(+.f64 -1 (-.f64 1 (.f64 (+.f64 x x) (.f64 (+.f64 z -1) 1/2))))
(+.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) (.f64 (-.f64 1 z) (.f64 x 1/2)))
(-.f64 (*.f64 (-.f64 1 z) x) 0)
(-.f64 0 (*.f64 x (+.f64 z -1)))
(-.f64 0 (.f64 (+.f64 x x) (.f64 (+.f64 z -1) 1/2)))
(/.f64 (*.f64 (-.f64 1 z) x) 1)
(/.f64 (*.f64 (-.f64 1 z) (+.f64 x x)) 2)
(/.f64 (.f64 (-.f64 1 z) (.f64 x 4)) 4)
(/.f64 (.f64 (-.f64 1 z) (.f64 x 8)) 8)
(/.f64 (.f64 2 (.f64 (-.f64 1 z) (*.f64 x 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 8)))) 32)
(/.f64 (*.f64 x (+.f64 z -1)) -1)
(/.f64 (.f64 (+.f64 x x) (.f64 (+.f64 z -1) 1/2)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 z) (*.f64 x 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 8)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 z) (*.f64 x 8))))))) 256)
(pow.f64 (*.f64 (-.f64 1 z) x) 1)
(neg.f64 (*.f64 x (+.f64 z -1)))
(neg.f64 (.f64 (+.f64 x x) (.f64 (+.f64 z -1) 1/2)))

Outputs
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 -1 (.f64 x z)))
(+.f64 x (*.f64 z (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 -1 (.f64 x z)))
(+.f64 x (*.f64 z (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 -1 (.f64 x z)))
(+.f64 x (*.f64 z (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 z)))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 -1 (.f64 x z)))
(+.f64 x (*.f64 z (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 -1 (.f64 x z)))
(+.f64 x (*.f64 z (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 -1 (.f64 x z)))
(+.f64 x (*.f64 z (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 z)))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 -1 (.f64 x z)))
(+.f64 x (*.f64 z (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 -1 (.f64 x z)))
(+.f64 x (*.f64 z (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 -1 (.f64 x z)))
(+.f64 x (*.f64 z (neg.f64 x)))
(+.f64 x (*.f64 x (neg.f64 z)))
(+.f64 (*.f64 (-.f64 1 z) x) 0)
(*.f64 x (-.f64 1 z))
(+.f64 0 (*.f64 (-.f64 1 z) x))
(*.f64 x (-.f64 1 z))
(+.f64 -1 (-.f64 1 (*.f64 x (+.f64 z -1))))
(*.f64 x (-.f64 1 z))
(+.f64 -1 (-.f64 1 (.f64 (+.f64 x x) (.f64 (+.f64 z -1) 1/2))))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) (.f64 (-.f64 1 z) (.f64 x 1/2)))
(*.f64 x (-.f64 1 z))
(-.f64 (*.f64 (-.f64 1 z) x) 0)
(*.f64 x (-.f64 1 z))
(-.f64 0 (*.f64 x (+.f64 z -1)))
(*.f64 x (-.f64 1 z))
(-.f64 0 (.f64 (+.f64 x x) (.f64 (+.f64 z -1) 1/2)))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) 1)
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) (+.f64 x x)) 2)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (-.f64 1 z) (.f64 x 4)) 4)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (-.f64 1 z) (.f64 x 8)) 8)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 2 (.f64 (-.f64 1 z) (*.f64 x 8))) 16)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 8)))) 32)
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 x (+.f64 z -1)) -1)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (+.f64 x x) (.f64 (+.f64 z -1) 1/2)) -1)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 z) (*.f64 x 8))))) 64)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 8)))))) 128)
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 z) (*.f64 x 8))))))) 256)
(*.f64 x (-.f64 1 z))
(pow.f64 (*.f64 (-.f64 1 z) x) 1)
(*.f64 x (-.f64 1 z))
(neg.f64 (*.f64 x (+.f64 z -1)))
(*.f64 x (-.f64 1 z))
(neg.f64 (.f64 (+.f64 x x) (.f64 (+.f64 z -1) 1/2)))
(*.f64 x (-.f64 1 z))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite230.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`rational.json-1`
1406×	`rational.json-2`
1406×	`rational.json-3`
1396×	`exponential.json-3`
1396×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	62	17
2	141	17
3	305	17
4	614	17
5	1476	17
6	2916	17
7	4634	17
8	6136	17
9	6955	17
10	7230	17
11	7508	17
12	7801	17

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y x) (neg.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (+.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y x) (*.f64 z -1/2)) (*.f64 (+.f64 y x) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (+.f64 y x) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 y x) -1/2) z) (*.f64 (*.f64 (+.f64 y x) -1/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (neg.f64 (+.f64 y x)) 1/2) z) (*.f64 (*.f64 (neg.f64 (+.f64 y x)) 1/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 y x) (neg.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 1 (*.f64 (+.f64 y x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 (+.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (*.f64 (+.f64 y x) z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 (+.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) (neg.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) (*.f64 z -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) (*.f64 z -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8 (*.f64 (+.f64 y x) z)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) (+.f64 z z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 -8 (*.f64 (+.f64 y x) z))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 y x) (+.f64 z z))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 (+.f64 y x) z)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 (+.f64 y x) z))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 (+.f64 y x) z)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y x) (neg.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 y x) z)) 1))))))

simplify437.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1556×	`rational.json-simplify-35`
1506×	`rational.json-simplify-52`
1008×	`rational.json-simplify-53`
788×	`rational.json-simplify-43`
734×	`rational.json-simplify-42`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1870
1	214	1616
2	432	1120
3	1028	1120
4	2967	1120
5	4213	1120
6	5463	1120
7	7027	1120

Stop Event

1×	node limit

Counts

68 → 43

Calls

Call 1

Inputs
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(.f64 -1 (.f64 (+.f64 y x) z))
(.f64 -1 (.f64 (+.f64 y x) z))
(.f64 -1 (.f64 (+.f64 y x) z))
(.f64 -1 (.f64 (+.f64 y x) z))
(.f64 -1 (.f64 (+.f64 y x) z))
(.f64 -1 (.f64 (+.f64 y x) z))
(.f64 -1 (.f64 (+.f64 y x) z))
(.f64 -1 (.f64 (+.f64 y x) z))
(.f64 -1 (.f64 (+.f64 y x) z))
(.f64 -1 (.f64 (+.f64 y x) z))
(.f64 -1 (.f64 (+.f64 y x) z))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 (*.f64 (+.f64 y x) (neg.f64 z)) 0)
(+.f64 0 (*.f64 (+.f64 y x) (neg.f64 z)))
(+.f64 -1 (-.f64 1 (*.f64 (+.f64 y x) z)))
(+.f64 -1 (-.f64 1 (+.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1))))
(+.f64 -2 (-.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1)))
(+.f64 (.f64 (+.f64 y x) (.f64 z -1/2)) (.f64 (+.f64 y x) (.f64 z -1/2)))
(+.f64 (-.f64 1 (*.f64 (+.f64 y x) z)) -1)
(+.f64 (.f64 (.f64 (+.f64 y x) -1/2) z) (.f64 (.f64 (+.f64 y x) -1/2) z))
(+.f64 (.f64 (.f64 (neg.f64 (+.f64 y x)) 1/2) z) (.f64 (.f64 (neg.f64 (+.f64 y x)) 1/2) z))
(-.f64 (*.f64 (+.f64 y x) (neg.f64 z)) 0)
(-.f64 0 (*.f64 (+.f64 y x) z))
(-.f64 0 (+.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1)))
(-.f64 0 (-.f64 (+.f64 1 (*.f64 (+.f64 y x) z)) 1))
(-.f64 1 (+.f64 1 (*.f64 (+.f64 y x) z)))
(-.f64 -1 (+.f64 (*.f64 (+.f64 y x) z) -1))
(-.f64 (-.f64 1 (*.f64 (+.f64 y x) z)) 1)
(/.f64 (*.f64 (+.f64 y x) (neg.f64 z)) 1)
(/.f64 (.f64 (+.f64 y x) (.f64 z -2)) 2)
(/.f64 (.f64 (+.f64 y x) (.f64 z -4)) 4)
(/.f64 (*.f64 (+.f64 y x) z) -1)
(/.f64 (.f64 -8 (.f64 (+.f64 y x) z)) 8)
(/.f64 (*.f64 (+.f64 y x) (+.f64 z z)) -2)
(/.f64 (.f64 2 (.f64 -8 (*.f64 (+.f64 y x) z))) 16)
(/.f64 (.f64 2 (.f64 (+.f64 y x) (+.f64 z z))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 -8 (.f64 (+.f64 y x) z)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 -8 (*.f64 (+.f64 y x) z))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 -8 (.f64 (+.f64 y x) z)))))) 128)
(/.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1)) -1)
(pow.f64 (*.f64 (+.f64 y x) (neg.f64 z)) 1)
(neg.f64 (*.f64 (+.f64 y x) z))
(neg.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1)))
(neg.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 y x) z)) 1))

Outputs
(.f64 -1 (.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 z x)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (*.f64 (+.f64 y x) (neg.f64 z)) 0)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 0 (*.f64 (+.f64 y x) (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 -1 (-.f64 1 (*.f64 (+.f64 y x) z)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 -1 (-.f64 1 (+.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1))))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 -2 (-.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 (+.f64 y x) (.f64 z -1/2)) (.f64 (+.f64 y x) (.f64 z -1/2)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (-.f64 1 (*.f64 (+.f64 y x) z)) -1)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 (.f64 (+.f64 y x) -1/2) z) (.f64 (.f64 (+.f64 y x) -1/2) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(+.f64 (.f64 (.f64 (neg.f64 (+.f64 y x)) 1/2) z) (.f64 (.f64 (neg.f64 (+.f64 y x)) 1/2) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(-.f64 (*.f64 (+.f64 y x) (neg.f64 z)) 0)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(-.f64 0 (*.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(-.f64 0 (+.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(-.f64 0 (-.f64 (+.f64 1 (*.f64 (+.f64 y x) z)) 1))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(-.f64 1 (+.f64 1 (*.f64 (+.f64 y x) z)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(-.f64 -1 (+.f64 (*.f64 (+.f64 y x) z) -1))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(-.f64 (-.f64 1 (*.f64 (+.f64 y x) z)) 1)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 (+.f64 y x) (neg.f64 z)) 1)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(/.f64 (.f64 (+.f64 y x) (.f64 z -2)) 2)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(/.f64 (.f64 (+.f64 y x) (.f64 z -4)) 4)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 (+.f64 y x) z) -1)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(/.f64 (.f64 -8 (.f64 (+.f64 y x) z)) 8)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 (+.f64 y x) (+.f64 z z)) -2)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(/.f64 (.f64 2 (.f64 -8 (*.f64 (+.f64 y x) z))) 16)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(/.f64 (.f64 2 (.f64 (+.f64 y x) (+.f64 z z))) -4)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(/.f64 (.f64 2 (.f64 2 (.f64 -8 (.f64 (+.f64 y x) z)))) 32)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 -8 (*.f64 (+.f64 y x) z))))) 64)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 -8 (.f64 (+.f64 y x) z)))))) 128)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(/.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1)) -1)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(pow.f64 (*.f64 (+.f64 y x) (neg.f64 z)) 1)
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(neg.f64 (*.f64 (+.f64 y x) z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 y x) z) -1)))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))
(neg.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 y x) z)) 1))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 y (neg.f64 z)))
(.f64 -1 (+.f64 (.f64 z y) (*.f64 z x)))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 x y)))

eval40.0ms (0.3%)

Compiler: Compiled 1912 to 1063 computations (44.4% saved)

prune29.0ms (0.2%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	189	5	194
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	190	10	200

Error

Counts

200 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.2b	(+.f64 y x)
▶	28.7b	(+.f64 x (*.f64 z (neg.f64 x)))
✓	28.7b	(*.f64 (-.f64 1 z) x)
✓	37.2b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
▶	51.7b	(*.f64 z (neg.f64 y))
▶	48.1b	(*.f64 z (neg.f64 x))
✓	34.3b	(*.f64 y (-.f64 1 z))
	45.9b	y
	43.7b	x

Compiler

Compiled 72 to 51 computations (29.2% saved)

localize5.0ms (0%)

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

localize4.0ms (0%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite139.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`exponential.json-3`
1458×	`rational.json-1`
1458×	`rational.json-2`
1458×	`rational.json-4`
1458×	`rational.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	56	17
2	131	17
3	287	17
4	592	17
5	1451	13
6	2964	13
7	4886	13
8	6330	13
9	7511	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (-.f64 1 z) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) (-.f64 1 z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (-.f64 1 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 1/2 (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 1/2 (*.f64 (neg.f64 z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 1/2 (/.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 x (-.f64 1 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 4 (-.f64 1 z))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 1 z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x x) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x x) (*.f64 x (*.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 2 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (+.f64 2 (*.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 z) (*.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 z) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x (*.f64 4 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 z -2)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 z -1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 (neg.f64 z) 1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 z -2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 x (*.f64 z -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (-.f64 1 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 4 (-.f64 1 z))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (-.f64 1 z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (-.f64 1 z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (-.f64 1 z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (-.f64 1 z)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (-.f64 1 z)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 z)) 1)))))

simplify253.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2282×	`rational.json-simplify-2`
1896×	`rational.json-simplify-35`
1074×	`rational.json-simplify-48`
924×	`rational.json-simplify-1`
698×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1061
1	206	1057
2	417	849
3	1382	849
4	2901	849
5	4021	849
6	4710	849
7	5085	849
8	5420	849
9	5740	849
10	6106	849
11	6562	849
12	7669	849

Stop Event

1×	node limit

Counts

61 → 45

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 -1 (.f64 (-.f64 z 1) x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(.f64 -1 (.f64 (-.f64 z 1) x))
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(-.f64 (*.f64 x (-.f64 1 z)) 0)
(*.f64 x (-.f64 1 z))
(.f64 (.f64 x (-.f64 1 z)) 1)
(.f64 1 (.f64 x (-.f64 1 z)))
(.f64 2 (.f64 (-.f64 1 z) (*.f64 x 1/2)))
(.f64 2 (.f64 (*.f64 (-.f64 1 z) 1/2) x))
(.f64 (.f64 (+.f64 x x) (-.f64 1 z)) 1/2)
(.f64 (+.f64 x x) (.f64 (-.f64 1 z) 1/2))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 z -1/2)))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 (neg.f64 z) 1/2)))
(*.f64 (+.f64 x x) (+.f64 1/2 (/.f64 z -2)))
(.f64 4 (/.f64 (.f64 x (-.f64 1 z)) 4))
(.f64 (.f64 x (*.f64 4 (-.f64 1 z))) 1/4)
(*.f64 (-.f64 1 z) x)
(.f64 (.f64 2 (-.f64 1 z)) (*.f64 x 1/2))
(.f64 1/2 (.f64 (+.f64 x x) (-.f64 1 z)))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 x (*.f64 z -2))))
(.f64 (.f64 x 1/2) (*.f64 2 (-.f64 1 z)))
(.f64 (.f64 x 1/2) (+.f64 2 (*.f64 z -2)))
(.f64 (.f64 (-.f64 1 z) (*.f64 x 1/2)) 2)
(.f64 (.f64 (-.f64 1 z) 1/2) (+.f64 x x))
(.f64 1/4 (.f64 x (*.f64 4 (-.f64 1 z))))
(.f64 (/.f64 (.f64 x (-.f64 1 z)) 4) 4)
(.f64 (+.f64 2 (.f64 z -2)) (*.f64 x 1/2))
(.f64 (+.f64 1/2 (.f64 z -1/2)) (+.f64 x x))
(.f64 (+.f64 1/2 (.f64 (neg.f64 z) 1/2)) (+.f64 x x))
(*.f64 (+.f64 1/2 (/.f64 z -2)) (+.f64 x x))
(.f64 (+.f64 (+.f64 x x) (.f64 x (*.f64 z -2))) 1/2)
(/.f64 (*.f64 x (-.f64 1 z)) 1)
(/.f64 (*.f64 (+.f64 x x) (-.f64 1 z)) 2)
(/.f64 (.f64 x (.f64 4 (-.f64 1 z))) 4)
(/.f64 (.f64 (.f64 x (-.f64 1 z)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 x (-.f64 1 z)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 1 z)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 x (-.f64 1 z)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 1 z)) 8))))) 128)
(pow.f64 (*.f64 x (-.f64 1 z)) 1)

Outputs
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(-.f64 (*.f64 x (-.f64 1 z)) 0)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 1 z))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x (-.f64 1 z)) 1)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 1 (.f64 x (-.f64 1 z)))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 2 (.f64 (-.f64 1 z) (*.f64 x 1/2)))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 2 (.f64 (*.f64 (-.f64 1 z) 1/2) x))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (.f64 (+.f64 x x) (-.f64 1 z)) 1/2)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (+.f64 x x) (.f64 (-.f64 1 z) 1/2))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 z -1/2)))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 (neg.f64 z) 1/2)))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 z -1/2)))
(*.f64 (+.f64 x x) (+.f64 1/2 (/.f64 z -2)))
(.f64 4 (/.f64 (.f64 x (-.f64 1 z)) 4))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (.f64 x (*.f64 4 (-.f64 1 z))) 1/4)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (.f64 2 (-.f64 1 z)) (*.f64 x 1/2))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 1/2 (.f64 (+.f64 x x) (-.f64 1 z)))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 x (*.f64 z -2))))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (.f64 x 1/2) (*.f64 2 (-.f64 1 z)))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (.f64 x 1/2) (+.f64 2 (*.f64 z -2)))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (.f64 (-.f64 1 z) (*.f64 x 1/2)) 2)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (.f64 (-.f64 1 z) 1/2) (+.f64 x x))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 1/4 (.f64 x (*.f64 4 (-.f64 1 z))))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (/.f64 (.f64 x (-.f64 1 z)) 4) 4)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (+.f64 2 (.f64 z -2)) (*.f64 x 1/2))
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(.f64 (+.f64 1/2 (.f64 z -1/2)) (+.f64 x x))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 z -1/2)))
(.f64 (+.f64 1/2 (.f64 (neg.f64 z) 1/2)) (+.f64 x x))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 z -1/2)))
(*.f64 (+.f64 1/2 (/.f64 z -2)) (+.f64 x x))
(*.f64 (+.f64 x x) (+.f64 1/2 (/.f64 z -2)))
(.f64 (+.f64 (+.f64 x x) (.f64 x (*.f64 z -2))) 1/2)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(/.f64 (*.f64 x (-.f64 1 z)) 1)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(/.f64 (*.f64 (+.f64 x x) (-.f64 1 z)) 2)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(/.f64 (.f64 x (.f64 4 (-.f64 1 z))) 4)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(/.f64 (.f64 (.f64 x (-.f64 1 z)) 8) 8)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(/.f64 (.f64 2 (.f64 (*.f64 x (-.f64 1 z)) 8)) 16)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 1 z)) 8))) 32)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 x (-.f64 1 z)) 8)))) 64)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 1 z)) 8))))) 128)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(pow.f64 (*.f64 x (-.f64 1 z)) 1)
(*.f64 (+.f64 1 (neg.f64 z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))

eval229.0ms (1.9%)

Compiler: Compiled 386 to 264 computations (31.6% saved)

prune9.0ms (0.1%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	2	2
Picked	1	0	1
Done	0	7	7
Total	45	10	55

Error

Counts

55 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.7b	(-.f64 x (*.f64 z x))
✓	27.2b	(+.f64 y x)
✓	28.7b	(*.f64 (-.f64 1 z) x)
✓	37.2b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
✓	51.7b	(*.f64 z (neg.f64 y))
✓	48.1b	(*.f64 z (neg.f64 x))
✓	34.3b	(*.f64 y (-.f64 1 z))
	45.9b	y
	43.7b	x

Compiler

Compiled 71 to 50 computations (29.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite386.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1536×	`rational.json-1`
1536×	`rational.json-2`
1536×	`rational.json-3`
1534×	`exponential.json-3`
1534×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	39	13
2	93	13
3	207	13
4	399	13
5	924	13
6	2585	13
7	5115	13
8	6896	13

Stop Event

1×	node limit

Counts

1 → 83

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (*.f64 x (+.f64 z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x (-.f64 1 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 (*.f64 x z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (+.f64 z -1) -2)) (*.f64 x (/.f64 (+.f64 z -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (-.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 x z)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 2 (*.f64 x (+.f64 z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (-.f64 -1 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (*.f64 x (+.f64 z -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 2 (-.f64 1 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 2 (*.f64 (-.f64 1 z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 (+.f64 z -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 2 (-.f64 1 z))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (-.f64 1 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (neg.f64 (*.f64 (+.f64 z -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (+.f64 z -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (-.f64 1/2 (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 z -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 x (-.f64 1/4 (*.f64 z 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (+.f64 z -1)) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (-.f64 1 z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (-.f64 1/4 (*.f64 z 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 x 8) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (*.f64 1/2 (*.f64 x 1/4)) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 x z)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) (*.f64 1/8 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x (+.f64 z -1))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 1 z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (*.f64 2 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (+.f64 z -1) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 2 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (-.f64 2 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 8)) (*.f64 1/16 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 x (+.f64 (*.f64 z 1/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 z -1)) (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 z -1)) (*.f64 -1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 2 (-.f64 1 z))) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 z) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z -1) 1/2) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (*.f64 z 1/2) -1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 x (+.f64 z -1)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) (*.f64 2 (*.f64 2 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) (-.f64 4 (*.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1/4 (*.f64 z 1/4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 x (*.f64 x z)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (-.f64 (*.f64 x 8) (*.f64 z (*.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 2 (*.f64 x (+.f64 z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (-.f64 1 z)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 z) 1/4) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (+.f64 z -1) 1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x x)) (*.f64 (+.f64 z -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -2) (*.f64 2 (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) -2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (*.f64 z 1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (+.f64 z z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 1 z) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 z -1) 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 2 (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 z -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 z -1)) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 x z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x (+.f64 z -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 x z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 z 4) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x (-.f64 (*.f64 z 4) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 x z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x (-.f64 (*.f64 z 4) 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 x z)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 x z)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 x z)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 z -1)))))))

simplify712.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

2454×	`rational.json-simplify-2`
1790×	`rational.json-simplify-1`
1286×	`rational.json-simplify-35`
1002×	`rational.json-simplify-41`
926×	`rational.json-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	181	1555
1	386	1549
2	789	1549
3	1592	1549
4	3130	1549
5	4850	1549
6	5360	1549
7	5600	1549
8	5899	1549
9	6462	1549
10	7920	1549

Stop Event

1×	node limit

Counts

107 → 102

Calls

Call 1

Inputs
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (*.f64 z (neg.f64 x)))
(+.f64 (-.f64 x (*.f64 x z)) 0)
(+.f64 0 (-.f64 x (*.f64 x z)))
(+.f64 1 (-.f64 -1 (*.f64 x (+.f64 z -1))))
(+.f64 (*.f64 z (neg.f64 x)) x)
(+.f64 -1 (+.f64 x (-.f64 1 (*.f64 x z))))
(+.f64 (+.f64 x (-.f64 1 (*.f64 x z))) -1)
(+.f64 (.f64 x (/.f64 (+.f64 z -1) -2)) (.f64 x (/.f64 (+.f64 z -1) -2)))
(+.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 z)))
(+.f64 (-.f64 1 (*.f64 x z)) (+.f64 x -1))
(+.f64 -2 (-.f64 2 (*.f64 x (+.f64 z -1))))
(+.f64 (+.f64 x 1) (-.f64 -1 (*.f64 x z)))
(+.f64 (-.f64 2 (*.f64 x (+.f64 z -1))) -2)
(*.f64 x (-.f64 1 z))
(.f64 x (.f64 (*.f64 2 (-.f64 1 z)) 1/2))
(.f64 x (.f64 2 (*.f64 (-.f64 1 z) 1/2)))
(.f64 (-.f64 x (.f64 x z)) 1)
(.f64 1 (-.f64 x (.f64 x z)))
(.f64 2 (.f64 x (/.f64 (+.f64 z -1) -2)))
(.f64 (.f64 x (*.f64 2 (-.f64 1 z))) 1/2)
(.f64 (+.f64 x x) (.f64 (-.f64 1 z) 1/2))
(.f64 (+.f64 x x) (neg.f64 (.f64 (+.f64 z -1) 1/2)))
(*.f64 (+.f64 x x) (/.f64 (+.f64 z -1) -2))
(.f64 (+.f64 x x) (-.f64 1/2 (.f64 z 1/2)))
(.f64 (.f64 x (+.f64 z -1)) -1)
(.f64 4 (.f64 x (-.f64 1/4 (*.f64 z 1/4))))
(.f64 (.f64 (*.f64 x (+.f64 z -1)) -4) 1/4)
(.f64 (.f64 x 4) (*.f64 (-.f64 1 z) 1/4))
(.f64 (.f64 x 4) (-.f64 1/4 (*.f64 z 1/4)))
(*.f64 (neg.f64 x) (+.f64 z -1))
(*.f64 (-.f64 1 z) x)
(*.f64 (+.f64 z -1) (neg.f64 x))
(.f64 -1 (.f64 x (+.f64 z -1)))
(.f64 8 (.f64 (/.f64 x 8) (-.f64 1 z)))
(.f64 8 (.f64 (.f64 1/2 (.f64 x 1/4)) (-.f64 1 z)))
(.f64 (.f64 (-.f64 x (*.f64 x z)) 8) 1/8)
(.f64 (.f64 x 8) (*.f64 1/8 (-.f64 1 z)))
(.f64 (.f64 2 (*.f64 x (+.f64 z -1))) -1/2)
(.f64 (.f64 2 (-.f64 1 z)) (*.f64 x 1/2))
(.f64 1/2 (.f64 x (*.f64 2 (-.f64 1 z))))
(.f64 (.f64 x (/.f64 (+.f64 z -1) -2)) 2)
(.f64 (.f64 x 1/2) (*.f64 2 (-.f64 1 z)))
(.f64 (.f64 x 1/2) (-.f64 2 (+.f64 z z)))
(.f64 (.f64 2 (.f64 x 8)) (.f64 1/16 (-.f64 1 z)))
(.f64 -2 (.f64 x (+.f64 (*.f64 z 1/2) -1/2)))
(.f64 (.f64 2 (+.f64 z -1)) (/.f64 x -2))
(.f64 (.f64 2 (+.f64 z -1)) (.f64 -1 (.f64 x 1/2)))
(.f64 (.f64 2 (.f64 2 (-.f64 1 z))) (.f64 x 1/4))
(.f64 (.f64 (-.f64 1 z) 1/2) (+.f64 x x))
(.f64 (.f64 (+.f64 z -1) 1/2) (neg.f64 (+.f64 x x)))
(.f64 (.f64 x (+.f64 (*.f64 z 1/2) -1/2)) -2)
(.f64 1/4 (.f64 (*.f64 x (+.f64 z -1)) -4))
(.f64 (.f64 x 1/4) (.f64 2 (.f64 2 (-.f64 1 z))))
(.f64 (.f64 x 1/4) (-.f64 4 (*.f64 z 4)))
(.f64 (.f64 x (-.f64 1/4 (*.f64 z 1/4))) 4)
(.f64 1/8 (.f64 (-.f64 x (*.f64 x z)) 8))
(.f64 1/8 (-.f64 (.f64 x 8) (.f64 z (.f64 x 8))))
(.f64 -1/2 (.f64 2 (*.f64 x (+.f64 z -1))))
(.f64 (.f64 (*.f64 2 (-.f64 1 z)) 1/2) x)
(.f64 (.f64 (-.f64 1 z) 1/4) (*.f64 x 4))
(.f64 (neg.f64 (.f64 (+.f64 z -1) 1/2)) (+.f64 x x))
(.f64 (neg.f64 (+.f64 x x)) (.f64 (+.f64 z -1) 1/2))
(.f64 (/.f64 x -2) (.f64 2 (+.f64 z -1)))
(*.f64 (/.f64 (+.f64 z -1) -2) (+.f64 x x))
(.f64 (-.f64 1/2 (.f64 z 1/2)) (+.f64 x x))
(.f64 (-.f64 2 (+.f64 z z)) (.f64 x 1/2))
(.f64 (.f64 2 (*.f64 (-.f64 1 z) 1/2)) x)
(.f64 (.f64 2 (*.f64 (+.f64 z -1) 1/2)) (neg.f64 x))
(/.f64 (-.f64 x (*.f64 x z)) 1)
(/.f64 (.f64 x (.f64 2 (-.f64 1 z))) 2)
(/.f64 (*.f64 x (+.f64 z -1)) -1)
(/.f64 (.f64 (.f64 x (+.f64 z -1)) -4) 4)
(/.f64 (.f64 (-.f64 x (.f64 x z)) 8) 8)
(/.f64 (.f64 2 (.f64 x (+.f64 z -1))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 x (*.f64 x z)) 8)) 16)
(/.f64 (.f64 x (-.f64 (.f64 z 4) 4)) -4)
(/.f64 (.f64 2 (.f64 x (-.f64 (*.f64 z 4) 4))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 x z)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 x (-.f64 (.f64 z 4) 4)))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (*.f64 x z)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 x z)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 x z)) 8))))) 128)
(pow.f64 (-.f64 x (*.f64 x z)) 1)
(neg.f64 (*.f64 x (+.f64 z -1)))

Outputs
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (-.f64 x (*.f64 x z)) 0)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 0 (-.f64 x (*.f64 x z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 1 (-.f64 -1 (*.f64 x (+.f64 z -1))))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 z (neg.f64 x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 -1 (+.f64 x (-.f64 1 (*.f64 x z))))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (+.f64 x (-.f64 1 (*.f64 x z))) -1)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 x (/.f64 (+.f64 z -1) -2)) (.f64 x (/.f64 (+.f64 z -1) -2)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 z)))
(*.f64 x (+.f64 (-.f64 1/2 z) 1/2))
(*.f64 x (+.f64 1/2 (-.f64 1/2 z)))
(+.f64 (-.f64 1 (*.f64 x z)) (+.f64 x -1))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 -2 (-.f64 2 (*.f64 x (+.f64 z -1))))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (+.f64 x 1) (-.f64 -1 (*.f64 x z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (-.f64 2 (*.f64 x (+.f64 z -1))) -2)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 1 z))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 x (.f64 (*.f64 2 (-.f64 1 z)) 1/2))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 x (.f64 2 (*.f64 (-.f64 1 z) 1/2)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (-.f64 x (.f64 x z)) 1)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 1 (-.f64 x (.f64 x z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 2 (.f64 x (/.f64 (+.f64 z -1) -2)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x (*.f64 2 (-.f64 1 z))) 1/2)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 x x) (.f64 (-.f64 1 z) 1/2))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 x x) (neg.f64 (.f64 (+.f64 z -1) 1/2)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 x x) (/.f64 (+.f64 z -1) -2))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 x x) (-.f64 1/2 (.f64 z 1/2)))
(.f64 (.f64 x (+.f64 z -1)) -1)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 4 (.f64 x (-.f64 1/4 (*.f64 z 1/4))))
(.f64 x (.f64 (-.f64 1/4 (*.f64 z 1/4)) 4))
(.f64 (.f64 (*.f64 x (+.f64 z -1)) -4) 1/4)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x 4) (*.f64 (-.f64 1 z) 1/4))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x 4) (-.f64 1/4 (*.f64 z 1/4)))
(.f64 x (.f64 (-.f64 1/4 (*.f64 z 1/4)) 4))
(.f64 4 (.f64 x (-.f64 1/4 (*.f64 z 1/4))))
(*.f64 (neg.f64 x) (+.f64 z -1))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 z -1) (neg.f64 x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 x (+.f64 z -1)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 8 (.f64 (/.f64 x 8) (-.f64 1 z)))
(.f64 (/.f64 x 8) (.f64 (-.f64 1 z) 8))
(.f64 (-.f64 1 z) (.f64 (/.f64 x 8) 8))
(.f64 8 (.f64 (-.f64 1 z) (/.f64 x 8)))
(.f64 (-.f64 1 z) (.f64 8 (/.f64 x 8)))
(.f64 8 (.f64 (.f64 1/2 (.f64 x 1/4)) (-.f64 1 z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 (-.f64 x (*.f64 x z)) 8) 1/8)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x 8) (*.f64 1/8 (-.f64 1 z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 2 (*.f64 x (+.f64 z -1))) -1/2)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 2 (-.f64 1 z)) (*.f64 x 1/2))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 1/2 (.f64 x (*.f64 2 (-.f64 1 z))))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x (/.f64 (+.f64 z -1) -2)) 2)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x 1/2) (*.f64 2 (-.f64 1 z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x 1/2) (-.f64 2 (+.f64 z z)))
(.f64 x (.f64 1/2 (-.f64 2 (+.f64 z z))))
(.f64 (.f64 2 (.f64 x 8)) (.f64 1/16 (-.f64 1 z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 -2 (.f64 x (+.f64 (*.f64 z 1/2) -1/2)))
(.f64 x (.f64 (+.f64 (*.f64 z 1/2) -1/2) -2))
(.f64 x (.f64 -2 (+.f64 (*.f64 z 1/2) -1/2)))
(.f64 (+.f64 (.f64 z 1/2) -1/2) (*.f64 x -2))
(.f64 (.f64 2 (+.f64 z -1)) (/.f64 x -2))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 2 (+.f64 z -1)) (.f64 -1 (.f64 x 1/2)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 2 (.f64 2 (-.f64 1 z))) (.f64 x 1/4))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 (-.f64 1 z) 1/2) (+.f64 x x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 (+.f64 z -1) 1/2) (neg.f64 (+.f64 x x)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x (+.f64 (*.f64 z 1/2) -1/2)) -2)
(.f64 x (.f64 (+.f64 (*.f64 z 1/2) -1/2) -2))
(.f64 x (.f64 -2 (+.f64 (*.f64 z 1/2) -1/2)))
(.f64 (+.f64 (.f64 z 1/2) -1/2) (*.f64 x -2))
(.f64 1/4 (.f64 (*.f64 x (+.f64 z -1)) -4))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x 1/4) (.f64 2 (.f64 2 (-.f64 1 z))))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x 1/4) (-.f64 4 (*.f64 z 4)))
(.f64 x (.f64 1/4 (-.f64 4 (*.f64 z 4))))
(.f64 (.f64 x (-.f64 1/4 (*.f64 z 1/4))) 4)
(.f64 x (.f64 (-.f64 1/4 (*.f64 z 1/4)) 4))
(.f64 4 (.f64 x (-.f64 1/4 (*.f64 z 1/4))))
(.f64 1/8 (.f64 (-.f64 x (*.f64 x z)) 8))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 1/8 (-.f64 (.f64 x 8) (.f64 z (.f64 x 8))))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1/2 (.f64 2 (*.f64 x (+.f64 z -1))))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 (*.f64 2 (-.f64 1 z)) 1/2) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 (-.f64 1 z) 1/4) (*.f64 x 4))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (neg.f64 (.f64 (+.f64 z -1) 1/2)) (+.f64 x x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (neg.f64 (+.f64 x x)) (.f64 (+.f64 z -1) 1/2))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (/.f64 x -2) (.f64 2 (+.f64 z -1)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (/.f64 (+.f64 z -1) -2) (+.f64 x x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (-.f64 1/2 (.f64 z 1/2)) (+.f64 x x))
(.f64 (+.f64 x x) (-.f64 1/2 (.f64 z 1/2)))
(.f64 (-.f64 2 (+.f64 z z)) (.f64 x 1/2))
(.f64 x (.f64 1/2 (-.f64 2 (+.f64 z z))))
(.f64 (.f64 x 1/2) (-.f64 2 (+.f64 z z)))
(.f64 (.f64 2 (*.f64 (-.f64 1 z) 1/2)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 2 (*.f64 (+.f64 z -1) 1/2)) (neg.f64 x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (-.f64 x (*.f64 x z)) 1)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 x (.f64 2 (-.f64 1 z))) 2)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (*.f64 x (+.f64 z -1)) -1)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 (.f64 x (+.f64 z -1)) -4) 4)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 (-.f64 x (.f64 x z)) 8) 8)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 2 (.f64 x (+.f64 z -1))) -2)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 2 (.f64 (-.f64 x (*.f64 x z)) 8)) 16)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 x (-.f64 (.f64 z 4) 4)) -4)
(.f64 (-.f64 (.f64 z 4) 4) (/.f64 x -4))
(/.f64 (.f64 2 (.f64 x (-.f64 (*.f64 z 4) 4))) -8)
(.f64 (-.f64 (.f64 z 4) 4) (/.f64 x -4))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 x z)) 8))) 32)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 2 (.f64 2 (.f64 x (-.f64 (.f64 z 4) 4)))) -16)
(.f64 (-.f64 (.f64 z 4) 4) (/.f64 x -4))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (*.f64 x z)) 8)))) 64)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 x z)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 x z)) 8))))) 128)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(pow.f64 (-.f64 x (*.f64 x z)) 1)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(neg.f64 (*.f64 x (+.f64 z -1)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))

eval20.0ms (0.2%)

Compiler: Compiled 912 to 617 computations (32.3% saved)

prune17.0ms (0.1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	2	2
Picked	0	1	1
Done	0	7	7
Total	102	10	112

Error

Counts

112 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.7b	(-.f64 x (*.f64 z x))
✓	27.2b	(+.f64 y x)
✓	28.7b	(*.f64 (-.f64 1 z) x)
✓	37.2b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
✓	51.7b	(*.f64 z (neg.f64 y))
✓	48.1b	(*.f64 z (neg.f64 x))
✓	34.3b	(*.f64 y (-.f64 1 z))
	45.9b	y
	43.7b	x

Compiler

Compiled 71 to 50 computations (29.6% saved)

regimes379.0ms (3.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

194.0ms	y
158.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
7.0ms	(+.f64 x y)
7.0ms	z
7.0ms	x

Results

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

Compiler

Compiled 95 to 52 computations (45.3% saved)

regimes396.0ms (3.2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

291.0ms	(-.f64 1 z)
75.0ms	x
17.0ms	z
11.0ms	y

Results

Error	Segments	Branch
9.0b	4	`x`
8.3b	2	`y`
2.7b	3	`z`
2.7b	3	`(-.f64 1 z)`

Compiler

Compiled 61 to 33 computations (45.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0276962274400698	1164054.0973444618
0.0ms	-1.4947745783960316	0.9985538210634339

Compiler

Compiled 16 to 12 computations (25% saved)

regimes209.0ms (1.7%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

147.0ms	(-.f64 1 z)
28.0ms	x
21.0ms	z
11.0ms	y

Results

Error	Segments	Branch
9.0b	4	`x`
8.3b	2	`y`
10.9b	4	`z`
9.7b	6	`(-.f64 1 z)`

Compiler

Compiled 49 to 30 computations (38.8% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	1.256325957238976e-103	7.052306496891393e-101

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes104.0ms (0.8%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	z
25.0ms	x
23.0ms	(-.f64 1 z)
17.0ms	y

Results

Error	Segments	Branch
16.5b	6	`x`
19.1b	4	`y`
9.0b	7	`z`
9.0b	7	`(-.f64 1 z)`

Compiler

Compiled 39 to 25 computations (35.9% saved)

bsearch1.0ms (0%)

Algorithm

6×	left-value

Steps

Time	Left	Right
0.0ms	5.781831484472163e+50	4.622859569499159e+52
0.0ms	1.0	1.0000000248467378
0.0ms	-1.4947745783960316	0.9985538210634339
0.0ms	-1.7657867189402532e+30	-2.2272897604827457e+28
0.0ms	-3.814224018889809e+50	-7.713092569646517e+43
0.0ms	-1.3667549708564773e+82	-2.168635198761515e+81

Compiler

Compiled 16 to 12 computations (25% saved)

regimes183.0ms (1.5%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

138.0ms	x
27.0ms	y
16.0ms	z

Results

Error	Segments	Branch
23.1b	7	`x`
23.7b	7	`y`
12.0b	4	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch197.0ms (1.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
13.0ms	0.0014461789365660352	2.4947745783960316
15.0ms	-1164053.0973444618	-0.027696227440069752
169.0ms	-4.622859569499159e+52	-5.781831484472163e+50

Results

192.0ms	384×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 383 to 283 computations (26.1% saved)

regimes240.0ms (2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

210.0ms	y
17.0ms	x
11.0ms	z

Results

Error	Segments	Branch
24.8b	5	`x`
26.0b	3	`y`
13.4b	3	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch204.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.0014461789365660352	2.4947745783960316
191.0ms	-3181249.8005138882	-1956841.7156113388

Results

201.0ms	192×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 196 to 144 computations (26.5% saved)

regimes12.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

3 calls:

4.0ms	x
4.0ms	y
3.0ms	z

Results

Error	Segments	Branch
27.2b	1	`x`
27.2b	1	`y`
27.2b	1	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes199.0ms (1.6%)

Accuracy

Total -31.2b remaining (-100.8%)

Threshold costs -31.2b (-100.8%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

3 calls:

181.0ms	z
9.0ms	y
8.0ms	x

Results

Error	Segments	Branch
31.5b	2	`x`
31.0b	2	`y`
40.5b	4	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch362.0ms (3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
362.0ms	1.256325957238976e-103	7.052306496891393e-101

Results

361.0ms

128×

body

256

valid

Compiler

Compiled 96 to 76 computations (20.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	425

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(if (<=.f64 (-.f64 1 z) -1) (.f64 (+.f64 y x) (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 z))))
(if (<=.f64 y 3719549384939639/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(if (<=.f64 (-.f64 1 z) -9999999999999999634067965630886574211027143225273567793680363843427086501542887424) (.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -200000000000000015259539682183774006589929941893120) (.f64 z (neg.f64 y)) (if (<=.f64 (-.f64 1 z) -1000000000000000019884624838656) (.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -1) (.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 1) (+.f64 y x) (if (<=.f64 (-.f64 1 z) 999999999999999993220948674361627976461708441944064) (.f64 y (-.f64 1 z)) (.f64 z (neg.f64 x))))))))
(if (<=.f64 z -1150000000000000025434790870138768995526141215244288) (.f64 z (neg.f64 x)) (if (<=.f64 z -190) (.f64 z (neg.f64 y)) (if (<=.f64 z 1) (+.f64 y x) (*.f64 z (neg.f64 x)))))
(if (<=.f64 z -1960000) (.f64 z (neg.f64 x)) (if (<=.f64 z 1) (+.f64 y x) (.f64 z (neg.f64 x))))
(+.f64 y x)
(if (<=.f64 y 3703788582461081/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) x y)
x

Outputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(if (<=.f64 (-.f64 1 z) -1) (.f64 (+.f64 y x) (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 z))))
(if (<=.f64 y 3719549384939639/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(if (<=.f64 (-.f64 1 z) -9999999999999999634067965630886574211027143225273567793680363843427086501542887424) (.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -200000000000000015259539682183774006589929941893120) (.f64 z (neg.f64 y)) (if (<=.f64 (-.f64 1 z) -1000000000000000019884624838656) (.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -1) (.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 1) (+.f64 y x) (if (<=.f64 (-.f64 1 z) 999999999999999993220948674361627976461708441944064) (.f64 y (-.f64 1 z)) (.f64 z (neg.f64 x))))))))
(if (<=.f64 z -1150000000000000025434790870138768995526141215244288) (.f64 z (neg.f64 x)) (if (<=.f64 z -190) (.f64 z (neg.f64 y)) (if (<=.f64 z 1) (+.f64 y x) (*.f64 z (neg.f64 x)))))
(if (<=.f64 z -1960000) (.f64 z (neg.f64 x)) (if (<=.f64 z 1) (+.f64 y x) (.f64 z (neg.f64 x))))
(+.f64 y x)
(if (<=.f64 y 3703788582461081/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) x y)
x

Compiler

Compiled 196 to 121 computations (38.3% saved)

soundness0.0ms (0%)

end857.0ms (7%)

Remove: (sort x y)
Compiler: Compiled 192 to 101 computations (47.4% saved)

Details

analyze157.0ms (1.3%)

sample3.2s (26.4%)

preprocess4.0ms (0%)

simplify8.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize373.0ms (3%)

series3.0ms (0%)

rewrite227.0ms (1.9%)

simplify575.0ms (4.7%)

eval6.0ms (0.1%)

prune7.0ms (0.1%)

localize10.0ms (0.1%)

series4.0ms (0%)

rewrite100.0ms (0.8%)

simplify283.0ms (2.3%)

localize3.0ms (0%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite198.0ms (1.6%)

simplify378.0ms (3.1%)

localize5.0ms (0%)

series1.0ms (0%)

rewrite316.0ms (2.6%)

simplify456.0ms (3.7%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite230.0ms (1.9%)

simplify437.0ms (3.6%)

eval40.0ms (0.3%)

prune29.0ms (0.2%)

localize5.0ms (0%)

localize4.0ms (0%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite139.0ms (1.1%)

simplify253.0ms (2.1%)

eval229.0ms (1.9%)

prune9.0ms (0.1%)

localize5.0ms (0%)

series1.0ms (0%)

rewrite386.0ms (3.2%)

simplify712.0ms (5.8%)

eval20.0ms (0.2%)

prune17.0ms (0.1%)

regimes379.0ms (3.1%)

regimes396.0ms (3.2%)

bsearch0.0ms (0%)

regimes209.0ms (1.7%)

bsearch13.0ms (0.1%)

regimes104.0ms (0.8%)

bsearch1.0ms (0%)

regimes183.0ms (1.5%)

bsearch197.0ms (1.6%)

regimes240.0ms (2%)

bsearch204.0ms (1.7%)

regimes12.0ms (0.1%)

regimes199.0ms (1.6%)

bsearch362.0ms (3%)

simplify8.0ms (0.1%)

soundness0.0ms (0%)

end857.0ms (7%)

Profiling