Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample739.0ms (75.1%)

Results

727.0ms

8256×

body

256

valid

Bogosity

preprocess12.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

4×	`rational_best-simplify-2`
4×	`rational_best-simplify-1`
2×	`rational_best-simplify-22`
2×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	12	19
2	14	19
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

simplify10.0ms (1%)

Algorithm

1×	egg-herbie

Rules

4×	`rational_best-simplify-2`
4×	`rational_best-simplify-1`
2×	`rational_best-simplify-22`
2×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	12	19
2	14	19

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 17 to 6 computations (64.7% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 8 computations (55.6% saved)

localize6.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 4 computations (76.5% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite25.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

92×	`rational_best-simplify-2`
74×	`rational_best-simplify-44`
62×	`rational_best-2`
62×	`rational_best-3`
62×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	42	19
2	75	19
3	95	19
4	107	19
5	121	19
6	133	19
7	149	19
8	180	19
9	228	19
10	319	19
11	348	19
12	351	19
13	352	19

Stop Event

1×

saturated

Counts

1 → 8

Calls

Call 1

Inputs
(.f64 x (+.f64 x (.f64 x x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 x (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (+.f64 x (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (+.f64 x (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 x (.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 x (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x (-.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 x (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 x (.f64 x (-.f64 -1 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 x (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (*.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (-.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (*.f64 x (-.f64 -1 x))))))))

simplify21.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

46×	`rational_best-simplify-2`
20×	`rational_best-simplify-44`
16×	`rational_best-simplify-47`
10×	`rational_best-simplify-10`
10×	`rational_best-simplify-8`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	356
1	37	356
2	49	356
3	71	356
4	91	344
5	101	344
6	105	344

Stop Event

1×

saturated

Counts

20 → 15

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (.f64 x (+.f64 x (.f64 x x))) 0)
(+.f64 0 (.f64 x (+.f64 x (.f64 x x))))
(-.f64 (.f64 x (+.f64 x (.f64 x x))) 0)
(-.f64 0 (.f64 x (.f64 x (-.f64 -1 x))))
(/.f64 (.f64 x (+.f64 x (.f64 x x))) 1)
(/.f64 (.f64 x (.f64 x (-.f64 -1 x))) -1)
(pow.f64 (.f64 x (+.f64 x (.f64 x x))) 1)
(neg.f64 (.f64 x (.f64 x (-.f64 -1 x))))

Outputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (.f64 x (+.f64 x (.f64 x x))) 0)
(.f64 x (+.f64 x (.f64 x x)))
(+.f64 0 (.f64 x (+.f64 x (.f64 x x))))
(.f64 x (+.f64 x (.f64 x x)))
(-.f64 (.f64 x (+.f64 x (.f64 x x))) 0)
(.f64 x (+.f64 x (.f64 x x)))
(-.f64 0 (.f64 x (.f64 x (-.f64 -1 x))))
(neg.f64 (.f64 x (.f64 x (-.f64 -1 x))))
(.f64 (.f64 x (-.f64 -1 x)) (neg.f64 x))
(.f64 x (.f64 (neg.f64 x) (-.f64 -1 x)))
(.f64 x (.f64 x (+.f64 x 1)))
(/.f64 (.f64 x (+.f64 x (.f64 x x))) 1)
(.f64 x (+.f64 x (.f64 x x)))
(/.f64 (.f64 x (.f64 x (-.f64 -1 x))) -1)
(neg.f64 (.f64 x (.f64 x (-.f64 -1 x))))
(.f64 (.f64 x (-.f64 -1 x)) (neg.f64 x))
(.f64 x (.f64 (neg.f64 x) (-.f64 -1 x)))
(.f64 x (.f64 x (+.f64 x 1)))
(pow.f64 (.f64 x (+.f64 x (.f64 x x))) 1)
(.f64 x (+.f64 x (.f64 x x)))
(neg.f64 (.f64 x (.f64 x (-.f64 -1 x))))
(.f64 (.f64 x (-.f64 -1 x)) (neg.f64 x))
(.f64 x (.f64 (neg.f64 x) (-.f64 -1 x)))
(.f64 x (.f64 x (+.f64 x 1)))

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	0.1b	(.f64 x (.f64 x x))

Compiler

Compiled 19 to 4 computations (78.9% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite30.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

116×	`rational_best-simplify-2`
90×	`rational_best-simplify-44`
70×	`rational_best-2`
70×	`rational_best-3`
70×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	32
1	44	32
2	85	32
3	107	32
4	119	32
5	132	32
6	144	32
7	161	32
8	199	32
9	281	32
10	365	32
11	403	32
12	407	32
13	408	32

Stop Event

1×

saturated

Counts

2 → 26

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 x (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 x (.f64 x (neg.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (.f64 x x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (neg.f64 x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (.f64 x x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 x) (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x x) (-.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (-.f64 -1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (-.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (.f64 x x) (-.f64 -1 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (*.f64 x (neg.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 x x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (-.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 -1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 x x) (-.f64 -1 x)))))))

simplify37.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

174×	`rational_best-simplify-2`
152×	`rational_best-simplify-44`
50×	`rational_best-simplify-47`
28×	`rational_best-simplify-49`
24×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	722
1	75	722
2	121	722
3	159	722
4	245	722
5	301	722
6	338	722
7	356	722
8	364	722
9	366	722

Stop Event

1×

saturated

Counts

50 → 31

Calls

Call 1

Inputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (.f64 x (.f64 x x)) 0)
(+.f64 0 (.f64 x (.f64 x x)))
(-.f64 (.f64 x (.f64 x x)) 0)
(-.f64 0 (.f64 x (.f64 x (neg.f64 x))))
(/.f64 (.f64 x (.f64 x x)) 1)
(/.f64 (.f64 x (.f64 x (neg.f64 x))) -1)
(pow.f64 (.f64 x (.f64 x x)) 1)
(neg.f64 (.f64 x (.f64 x (neg.f64 x))))
(-.f64 (.f64 x (.f64 x (+.f64 x 1))) 0)
(-.f64 0 (.f64 (.f64 x x) (-.f64 -1 x)))
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (.f64 x x) (+.f64 x 1))
(.f64 (.f64 x (*.f64 x (+.f64 x 1))) 1)
(.f64 1 (.f64 x (*.f64 x (+.f64 x 1))))
(.f64 (.f64 x (+.f64 x 1)) x)
(.f64 (.f64 x (neg.f64 x)) (-.f64 -1 x))
(.f64 -1 (.f64 (*.f64 x x) (-.f64 -1 x)))
(.f64 (neg.f64 x) (.f64 x (-.f64 -1 x)))
(.f64 (-.f64 -1 x) (.f64 x (neg.f64 x)))
(.f64 (.f64 (*.f64 x x) (-.f64 -1 x)) -1)
(.f64 (.f64 x (-.f64 -1 x)) (neg.f64 x))
(.f64 (+.f64 x 1) (.f64 x x))
(/.f64 (.f64 x (.f64 x (+.f64 x 1))) 1)
(/.f64 (.f64 (.f64 x x) (-.f64 -1 x)) -1)
(pow.f64 (.f64 x (.f64 x (+.f64 x 1))) 1)
(neg.f64 (.f64 (.f64 x x) (-.f64 -1 x)))

Outputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (pow.f64 x 2))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (pow.f64 x 2))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (pow.f64 x 2))
(+.f64 (.f64 x (.f64 x x)) 0)
(.f64 x (.f64 x x))
(+.f64 0 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
(-.f64 (.f64 x (.f64 x x)) 0)
(.f64 x (.f64 x x))
(-.f64 0 (.f64 x (.f64 x (neg.f64 x))))
(.f64 x (.f64 x x))
(/.f64 (.f64 x (.f64 x x)) 1)
(.f64 x (.f64 x x))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) -1)
(.f64 x (.f64 x x))
(pow.f64 (.f64 x (.f64 x x)) 1)
(.f64 x (.f64 x x))
(neg.f64 (.f64 x (.f64 x (neg.f64 x))))
(.f64 x (.f64 x x))
(-.f64 (.f64 x (.f64 x (+.f64 x 1))) 0)
(.f64 x (.f64 x (+.f64 x 1)))
(-.f64 0 (.f64 (.f64 x x) (-.f64 -1 x)))
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (.f64 x x) (+.f64 x 1))
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (.f64 x (*.f64 x (+.f64 x 1))) 1)
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 1 (.f64 x (*.f64 x (+.f64 x 1))))
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (.f64 x (+.f64 x 1)) x)
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (.f64 x (neg.f64 x)) (-.f64 -1 x))
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 -1 (.f64 (*.f64 x x) (-.f64 -1 x)))
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (neg.f64 x) (.f64 x (-.f64 -1 x)))
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (-.f64 -1 x) (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (.f64 (*.f64 x x) (-.f64 -1 x)) -1)
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (.f64 x (-.f64 -1 x)) (neg.f64 x))
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (+.f64 x 1) (.f64 x x))
(.f64 x (.f64 x (+.f64 x 1)))
(/.f64 (.f64 x (.f64 x (+.f64 x 1))) 1)
(.f64 x (.f64 x (+.f64 x 1)))
(/.f64 (.f64 (.f64 x x) (-.f64 -1 x)) -1)
(.f64 x (.f64 x (+.f64 x 1)))
(pow.f64 (.f64 x (.f64 x (+.f64 x 1))) 1)
(.f64 x (.f64 x (+.f64 x 1)))
(neg.f64 (.f64 (.f64 x x) (-.f64 -1 x)))
(.f64 x (.f64 x (+.f64 x 1)))

eval6.0ms (0.6%)

Compiler: Compiled 387 to 177 computations (54.3% saved)

prune5.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	3	48

Error

0.0b

Counts

48 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 26 to 13 computations (50% saved)

localize6.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 8 computations (50% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite29.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

98×	`rational_best-simplify-2`
62×	`rational_best-simplify-44`
54×	`rational_best-2`
54×	`rational_best-3`
54×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	49	19
2	84	19
3	101	19
4	106	19
5	119	19
6	131	19
7	148	19
8	179	19
9	219	19
10	282	19
11	311	19
12	314	19
13	315	19

Stop Event

1×

saturated

Counts

1 → 8

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (*.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (-.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (*.f64 x (-.f64 -1 x))))))))

simplify17.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

68×	`rational_best-simplify-2`
34×	`rational_best-simplify-47`
22×	`rational_best-simplify-44`
16×	`rational_best-simplify-6`
10×	`rational_best-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	344
1	37	344
2	52	344
3	79	344
4	104	344
5	112	344
6	133	344
7	139	344

Stop Event

1×

saturated

Counts

20 → 13

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (.f64 x (.f64 x (+.f64 x 1))) 0)
(+.f64 0 (.f64 x (.f64 x (+.f64 x 1))))
(-.f64 (.f64 x (.f64 x (+.f64 x 1))) 0)
(-.f64 0 (.f64 x (.f64 x (-.f64 -1 x))))
(/.f64 (.f64 x (.f64 x (+.f64 x 1))) 1)
(/.f64 (.f64 x (.f64 x (-.f64 -1 x))) -1)
(pow.f64 (.f64 x (.f64 x (+.f64 x 1))) 1)
(neg.f64 (.f64 x (.f64 x (-.f64 -1 x))))

Outputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (.f64 x (.f64 x (+.f64 x 1))) 0)
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (+.f64 x 1) (.f64 x x))
(+.f64 0 (.f64 x (.f64 x (+.f64 x 1))))
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (+.f64 x 1) (.f64 x x))
(-.f64 (.f64 x (.f64 x (+.f64 x 1))) 0)
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (+.f64 x 1) (.f64 x x))
(-.f64 0 (.f64 x (.f64 x (-.f64 -1 x))))
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (+.f64 x 1) (.f64 x x))
(/.f64 (.f64 x (.f64 x (+.f64 x 1))) 1)
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (+.f64 x 1) (.f64 x x))
(/.f64 (.f64 x (.f64 x (-.f64 -1 x))) -1)
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (+.f64 x 1) (.f64 x x))
(pow.f64 (.f64 x (.f64 x (+.f64 x 1))) 1)
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (+.f64 x 1) (.f64 x x))
(neg.f64 (.f64 x (.f64 x (-.f64 -1 x))))
(.f64 x (.f64 x (+.f64 x 1)))
(.f64 (+.f64 x 1) (.f64 x x))

eval2.0ms (0.2%)

Compiler: Compiled 99 to 65 computations (34.3% saved)

prune2.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	13	3	16

Error

0.0b

Counts

16 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 26 to 13 computations (50% saved)

regimes6.0ms (0.6%)

Accuracy

Total -0.0b remaining (-75%)

Threshold costs -0.0b (-75%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(.f64 x (+.f64 x (.f64 x x)))

Calls

2 calls:

3.0ms	x
3.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

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

Compiler

Compiled 36 to 14 computations (61.1% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 x (.f64 x x)))

Outputs
(.f64 x (+.f64 x (.f64 x x)))

Compiler

Compiled 8 to 4 computations (50% saved)

soundness10.0ms (1%)

Algorithm

1×	egg-herbie

Rules

4×	`rational_best-simplify-2`
4×	`rational_best-simplify-1`
2×	`rational_best-simplify-22`
2×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	12	19
2	14	19

Stop Event

1×

saturated

Compiler

Compiled 17 to 6 computations (64.7% saved)

end10.0ms (1.1%)

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

Iter	Nodes	Cost
0	6	19
1	42	19
2	75	19
3	95	19
4	107	19
5	121	19
6	133	19
7	149	19
8	180	19
9	228	19
10	319	19
11	348	19
12	351	19
13	352	19

Iter	Nodes	Cost
0	6	32
1	44	32
2	85	32
3	107	32
4	119	32
5	132	32
6	144	32
7	161	32
8	199	32
9	281	32
10	365	32
11	403	32
12	407	32
13	408	32

Iter	Nodes	Cost
0	48	722
1	75	722
2	121	722
3	159	722
4	245	722
5	301	722
6	338	722
7	356	722
8	364	722
9	366	722

Iter	Nodes	Cost
0	7	19
1	49	19
2	84	19
3	101	19
4	106	19
5	119	19
6	131	19
7	148	19
8	179	19
9	219	19
10	282	19
11	311	19
12	314	19
13	315	19

Iter	Nodes	Cost
0	6	19
1	42	19
2	75	19
3	95	19
4	107	19
5	121	19
6	133	19
7	149	19
8	180	19
9	228	19
10	319	19
11	348	19
12	351	19
13	352	19

Iter	Nodes	Cost
0	6	32
1	44	32
2	85	32
3	107	32
4	119	32
5	132	32
6	144	32
7	161	32
8	199	32
9	281	32
10	365	32
11	403	32
12	407	32
13	408	32

Iter	Nodes	Cost
0	48	722
1	75	722
2	121	722
3	159	722
4	245	722
5	301	722
6	338	722
7	356	722
8	364	722
9	366	722

Iter	Nodes	Cost
0	7	19
1	49	19
2	84	19
3	101	19
4	106	19
5	119	19
6	131	19
7	148	19
8	179	19
9	219	19
10	282	19
11	311	19
12	314	19
13	315	19

Details

analyze0.0ms (0%)

sample739.0ms (75.1%)

preprocess12.0ms (1.2%)

simplify10.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.6%)

series1.0ms (0.1%)

rewrite25.0ms (2.5%)

simplify21.0ms (2.1%)

localize5.0ms (0.5%)

series1.0ms (0.1%)

rewrite30.0ms (3%)

simplify37.0ms (3.7%)

eval6.0ms (0.6%)

prune5.0ms (0.5%)

localize6.0ms (0.6%)

series1.0ms (0.1%)

rewrite29.0ms (2.9%)

simplify17.0ms (1.8%)

eval2.0ms (0.2%)

prune2.0ms (0.2%)

regimes6.0ms (0.6%)

simplify1.0ms (0.1%)

soundness10.0ms (1%)

end10.0ms (1.1%)

Profiling

Iter	Nodes	Cost
0	6	19
1	42	19
2	75	19
3	95	19
4	107	19
5	121	19
6	133	19
7	149	19
8	180	19
9	228	19
10	319	19
11	348	19
12	351	19
13	352	19

Iter	Nodes	Cost
0	6	32
1	44	32
2	85	32
3	107	32
4	119	32
5	132	32
6	144	32
7	161	32
8	199	32
9	281	32
10	365	32
11	403	32
12	407	32
13	408	32

Iter	Nodes	Cost
0	48	722
1	75	722
2	121	722
3	159	722
4	245	722
5	301	722
6	338	722
7	356	722
8	364	722
9	366	722

Iter	Nodes	Cost
0	7	19
1	49	19
2	84	19
3	101	19
4	106	19
5	119	19
6	131	19
7	148	19
8	179	19
9	219	19
10	282	19
11	311	19
12	314	19
13	315	19