Details

analyze728.0ms (21.7%)

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
39.7%	37.4%	56.9%	0.1%	5.5%	0%	0%	10
46.5%	43.7%	50.3%	0.1%	5.9%	0%	0%	11
55.2%	51.9%	42.1%	0.1%	5.9%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.4s (42.5%)

Results

1.3s	8256×	body	256	valid
93.0ms	627×	body	256	infinite

Bogosity

preprocess15.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

30×	`rational.json-simplify-2`
14×	`rational.json-simplify-43`
2×	`swap-y-z`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	24	76
2	34	76
3	41	76
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2
1

Call 2

Inputs
(-.f64 x (.f64 (.f64 y 4) z))
(-.f64 y (.f64 (.f64 x 4) z))
(-.f64 z (.f64 (.f64 y 4) x))
(-.f64 x (.f64 (.f64 z 4) y))

Outputs
(-.f64 x (.f64 (.f64 y 4) z))
(-.f64 x (.f64 y (.f64 4 z)))
(-.f64 y (.f64 (.f64 x 4) z))
(-.f64 y (.f64 z (.f64 x 4)))
(-.f64 y (.f64 x (.f64 4 z)))
(-.f64 z (.f64 (.f64 y 4) x))
(-.f64 z (.f64 x (.f64 y 4)))
(-.f64 x (.f64 (.f64 z 4) y))
(-.f64 x (.f64 (.f64 y 4) z))
(-.f64 x (.f64 y (.f64 4 z)))

Symmetry

(sort y z)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify30.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

12×	`rational.json-simplify-2`
4×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	11	19
2	15	19
3	19	19

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y 4) z))

Outputs
(-.f64 x (.f64 (.f64 y 4) z))
(-.f64 x (.f64 y (.f64 4 z)))

eval1.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 x (.f64 (.f64 y 4) z))

Compiler

Compiled 10 to 7 computations (30% saved)

localize19.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 y 4) z))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series5.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(-.f64 x (.f64 (.f64 y 4) z))
1.0ms	x	@	0	(-.f64 x (.f64 (.f64 y 4) z))
1.0ms	y	@	0	(-.f64 x (.f64 (.f64 y 4) z))
1.0ms	z	@	inf	(-.f64 x (.f64 (.f64 y 4) z))
1.0ms	y	@	inf	(-.f64 x (.f64 (.f64 y 4) z))

rewrite113.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2012×	`rational.json-5`
2010×	`rational.json-1`
2010×	`rational.json-2`
2010×	`rational.json-4`
2010×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	75	19
2	249	19
3	943	19
4	3842	19

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y 4) z))

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

Outputs

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

simplify322.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

1350×	`rational.json-simplify-47`
1094×	`rational.json-simplify-49`
994×	`rational.json-simplify-1`
906×	`exponential.json-simplify-26`
900×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	886
1	74	886
2	213	886
3	1157	886
4	5004	886
5	7902	886

Stop Event

1×	node limit

Counts

52 → 20

Calls

Call 1

Inputs
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) 0)
(+.f64 0 (-.f64 x (.f64 y (.f64 4 z))))
(+.f64 (-.f64 -1 (-.f64 (.f64 y (.f64 4 z)) x)) 1)
(.f64 (-.f64 x (.f64 y (*.f64 4 z))) 1)
(.f64 (-.f64 x (.f64 y (.f64 4 z))) (/.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (*.f64 4 z)))))
(.f64 1 (-.f64 x (.f64 y (*.f64 4 z))))
(.f64 (-.f64 (.f64 y (*.f64 4 z)) x) -1)
(.f64 (.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (.f64 4 z)))) (/.f64 1 (-.f64 x (.f64 y (.f64 4 z)))))
(.f64 (.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (.f64 4 z)))) (.f64 (/.f64 1 (-.f64 x (.f64 y (*.f64 4 z)))) 1))
(.f64 (/.f64 1 (-.f64 x (.f64 y (.f64 4 z)))) (.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (.f64 4 z)))))
(.f64 (.f64 (.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (.f64 4 z)))) (.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (.f64 4 z))))) (/.f64 (/.f64 1 (-.f64 x (.f64 y (.f64 4 z)))) (.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (*.f64 4 z))))))
(/.f64 (-.f64 x (.f64 y (.f64 4 z))) 1)
(/.f64 (-.f64 x (.f64 y (.f64 4 z))) (/.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (.f64 4 z)))))
(/.f64 (-.f64 (.f64 y (.f64 4 z)) x) -1)
(pow.f64 (-.f64 x (.f64 y (.f64 4 z))) 1)
(neg.f64 (-.f64 (.f64 y (.f64 4 z)) x))

Outputs
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
x
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(.f64 -4 (.f64 y z))
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (.f64 -4 (.f64 y z)) x)
(+.f64 (-.f64 x (.f64 y (.f64 4 z))) 0)
(-.f64 x (.f64 y (.f64 z 4)))
(+.f64 0 (-.f64 x (.f64 y (.f64 4 z))))
(-.f64 x (.f64 y (.f64 z 4)))
(+.f64 (-.f64 -1 (-.f64 (.f64 y (.f64 4 z)) x)) 1)
(-.f64 x (.f64 y (.f64 z 4)))
(.f64 (-.f64 x (.f64 y (*.f64 4 z))) 1)
(-.f64 x (.f64 y (.f64 z 4)))
(.f64 (-.f64 x (.f64 y (.f64 4 z))) (/.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (*.f64 4 z)))))
(-.f64 x (.f64 y (.f64 z 4)))
(.f64 1 (-.f64 x (.f64 y (*.f64 4 z))))
(-.f64 x (.f64 y (.f64 z 4)))
(.f64 (-.f64 (.f64 y (*.f64 4 z)) x) -1)
(-.f64 x (.f64 y (.f64 z 4)))
(.f64 (.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (.f64 4 z)))) (/.f64 1 (-.f64 x (.f64 y (.f64 4 z)))))
(-.f64 x (.f64 y (.f64 z 4)))
(.f64 (.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (.f64 4 z)))) (.f64 (/.f64 1 (-.f64 x (.f64 y (*.f64 4 z)))) 1))
(-.f64 x (.f64 y (.f64 z 4)))
(.f64 (/.f64 1 (-.f64 x (.f64 y (.f64 4 z)))) (.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (.f64 4 z)))))
(-.f64 x (.f64 y (.f64 z 4)))
(.f64 (.f64 (.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (.f64 4 z)))) (.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (.f64 4 z))))) (/.f64 (/.f64 1 (-.f64 x (.f64 y (.f64 4 z)))) (.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (*.f64 4 z))))))
(-.f64 x (.f64 y (.f64 z 4)))
(/.f64 (-.f64 x (.f64 y (.f64 4 z))) 1)
(-.f64 x (.f64 y (.f64 z 4)))
(/.f64 (-.f64 x (.f64 y (.f64 4 z))) (/.f64 (-.f64 x (.f64 y (.f64 4 z))) (-.f64 x (.f64 y (.f64 4 z)))))
(-.f64 x (.f64 y (.f64 z 4)))
(/.f64 (-.f64 (.f64 y (.f64 4 z)) x) -1)
(-.f64 x (.f64 y (.f64 z 4)))
(pow.f64 (-.f64 x (.f64 y (.f64 4 z))) 1)
(-.f64 x (.f64 y (.f64 z 4)))
(neg.f64 (-.f64 (.f64 y (.f64 4 z)) x))
(-.f64 x (.f64 y (.f64 z 4)))

eval9.0ms (0.3%)

Compiler: Compiled 294 to 188 computations (36.1% saved)

prune8.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	3	21

Error

0.0b

Counts

21 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 y 4) z))
▶	34.5b	(.f64 -4 (.f64 y z))
	28.4b	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -4 (.f64 y z))

Compiler

Compiled 14 to 7 computations (50% saved)

series4.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(.f64 -4 (.f64 y z))
1.0ms	y	@	0	(.f64 -4 (.f64 y z))
1.0ms	z	@	0	(.f64 -4 (.f64 y z))
0.0ms	y	@	inf	(.f64 -4 (.f64 y z))
0.0ms	z	@	-inf	(.f64 -4 (.f64 y z))

rewrite98.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1660×	`rational.json-5`
1658×	`exponential.json-3`
1658×	`rational.json-1`
1658×	`rational.json-2`
1658×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	61	13
2	209	13
3	779	13
4	3178	13

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs
(.f64 -4 (.f64 y z))

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

Outputs

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

simplify215.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational.json-simplify-79`
948×	`rational.json-simplify-2`
782×	`rational.json-simplify-76`
764×	`rational.json-simplify-111`
736×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	30	78
2	97	78
3	329	78
4	1411	78
5	3320	78
6	4943	78
7	6591	78

Stop Event

1×	node limit

Counts

6 → 7

Calls

Call 1

Inputs
(+.f64 (.f64 -4 (.f64 y z)) 0)
(+.f64 0 (.f64 -4 (.f64 y z)))
(-.f64 (.f64 -4 (.f64 y z)) 0)
(/.f64 (.f64 -4 (.f64 y z)) 1)
(/.f64 (.f64 -4 (.f64 y z)) (/.f64 (.f64 -4 (.f64 y z)) (.f64 -4 (.f64 y z))))
(pow.f64 (.f64 -4 (.f64 y z)) 1)

Outputs
(+.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(+.f64 0 (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(-.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 -4 (.f64 y z)) 1)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 -4 (.f64 y z)) (/.f64 (.f64 -4 (.f64 y z)) (.f64 -4 (.f64 y z))))
(.f64 -4 (.f64 y z))
(pow.f64 (.f64 -4 (.f64 y z)) 1)
(.f64 -4 (.f64 y z))

eval3.0ms (0.1%)

Compiler: Compiled 60 to 34 computations (43.3% saved)

prune4.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	7	3	10

Error

0.0b

Counts

10 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 y 4) z))
✓	34.5b	(.f64 -4 (.f64 y z))
	28.4b	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 y 4) z))
✓	34.5b	(.f64 -4 (.f64 y z))
	28.4b	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 y 4) z))
✓	34.5b	(.f64 -4 (.f64 y z))
	28.4b	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes49.0ms (1.4%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(.f64 -4 (.f64 y z))
(-.f64 x (.f64 (.f64 y 4) z))

Outputs
(-.f64 x (.f64 (.f64 y 4) z))

Calls

6 calls:

9.0ms	x
8.0ms	(.f64 (.f64 y 4) z)
8.0ms	y
7.0ms	z
7.0ms	(-.f64 x (.f64 (.f64 y 4) z))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(-.f64 x (.f64 (.f64 y 4) z))`
0.0b	1	`(.f64 (.f64 y 4) z)`
0.0b	1	`(*.f64 y 4)`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes115.0ms (3.4%)

Accuracy

Total -45.7b remaining (-288.3%)

Threshold costs -45.7b (-288.3%)

Counts

2 → 5

Calls

Call 1

Inputs
x
(.f64 -4 (.f64 y z))

Outputs
x
(.f64 -4 (.f64 y z))
x
(.f64 -4 (.f64 y z))
x

Calls

3 calls:

46.0ms	y
39.0ms	z
28.0ms	x

Results

Error	Segments	Branch
15.9b	5	`x`
17.3b	7	`y`
17.1b	7	`z`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch107.0ms (3.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
27.0ms	2.6001338127920246e-39	5.963935025880442e-31
29.0ms	1.5912965516171157e-144	1.6250702002036856e-138
22.0ms	6.293704605577495e-182	1.1865021304682899e-180
28.0ms	-1.8422285315665305e+40	-1.3925964660849077e+34

Results

93.0ms

544×

body

256

valid

Compiler

Compiled 492 to 386 computations (21.5% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	85

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(-.f64 x (*.f64 (*.f64 y 4) z))

(if (<=.f64 x -78999999999999999735668514100346880) x (if (<=.f64 x 1354862365809087/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) (*.f64 -4 (*.f64 y z)) (if (<=.f64 x 5623642243178995/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) x (if (<=.f64 x 6942132777321789/730750818665451459101842416358141509827966271488) (*.f64 -4 (*.f64 y z)) x))))

Outputs

(-.f64 x (*.f64 (*.f64 y 4) z))

(if (<=.f64 x -78999999999999999735668514100346880) x (if (<=.f64 x 1354862365809087/1167984798111281975972139931059274579172666497855631342228273284582214442805421410945513679697247078343332431250840168271536308408672112127552681297848886832192510636636227827221215793215130566656) (*.f64 -4 (*.f64 y z)) (if (<=.f64 x 5623642243178995/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) x (if (<=.f64 x 6942132777321789/730750818665451459101842416358141509827966271488) (*.f64 -4 (*.f64 y z)) x))))

Compiler

Compiled 46 to 30 computations (34.8% saved)

soundness0.0ms (0%)

end58.0ms (1.7%)

Remove: (sort y z)
Compiler: Compiled 60 to 38 computations (36.7% saved)

Details

analyze728.0ms (21.7%)

sample1.4s (42.5%)

preprocess15.0ms (0.4%)

simplify30.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize19.0ms (0.6%)

series5.0ms (0.2%)

rewrite113.0ms (3.4%)

simplify322.0ms (9.6%)

eval9.0ms (0.3%)

prune8.0ms (0.2%)

localize12.0ms (0.4%)

series4.0ms (0.1%)

rewrite98.0ms (2.9%)

simplify215.0ms (6.4%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

eval0.0ms (0%)

prune4.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes49.0ms (1.4%)

regimes115.0ms (3.4%)

bsearch107.0ms (3.2%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end58.0ms (1.7%)

Profiling