Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
90.9%	62.5%	6.2%	0%	31.2%	0%	0%	6
95.5%	65.6%	3.1%	0%	31.2%	0%	0%	7
97.7%	65.6%	1.6%	0%	32.8%	0%	0%	8
98.8%	66.4%	0.8%	0%	32.8%	0%	0%	9
99.4%	66.4%	0.4%	0%	33.2%	0%	0%	10
99.7%	66.6%	0.2%	0%	33.2%	0%	0%	11
99.9%	66.6%	0.1%	0%	33.3%	0%	0%	12

Compiler

Compiled 7 to 4 computations (42.9% saved)

sample1.1s (65.1%)

Results

1.1s	8256×	body	256	valid
1.0ms	6×	body	256	infinite

Bogosity

preprocess20.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

6×	`rational.json-simplify-2`
4×	`rational.json-simplify-54`
2×	`rational.json-simplify-73`
2×	`rational.json-simplify-71`
2×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	8	13
2	10	13
3	14	13
4	17	13
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify25.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

6×	`rational.json-simplify-2`
4×	`rational.json-simplify-54`
2×	`rational.json-simplify-73`
2×	`rational.json-simplify-71`
2×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	8	13
2	10	13
3	14	13
4	17	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

prune1.0ms (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

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 (.f64 x x) x)

Compiler

Compiled 6 to 3 computations (50% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x x) x)

Compiler

Compiled 10 to 3 computations (70% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite262.0ms (14.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1328×	`rational.json-5`
1326×	`exponential.json-3`
1326×	`rational.json-1`
1326×	`rational.json-2`
1326×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	45	13
2	166	13
3	604	13
4	2558	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

simplify251.0ms (14.3%)

Algorithm

1×	egg-herbie

Rules

1332×	`rational.json-simplify-79`
746×	`rational.json-simplify-2`
704×	`rational.json-simplify-111`
690×	`rational.json-simplify-76`
662×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	201
1	48	201
2	114	201
3	354	201
4	1409	201
5	3657	201
6	5402	201
7	7043	201

Stop Event

1×	node limit

Counts

21 → 11

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

eval2.0ms (0.1%)

Compiler: Compiled 87 to 27 computations (69% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	2	12

Error

Counts

12 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(pow.f64 x 3)
✓	0.1b	(.f64 (.f64 x x) x)

Compiler

Compiled 10 to 6 computations (40% saved)

localize3.0ms (0.2%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(pow.f64 x 3)
✓	0.1b	(.f64 (.f64 x x) x)

Compiler

Compiled 10 to 6 computations (40% saved)

regimes7.0ms (0.4%)

Accuracy

Total -0.1b remaining (-∞%)

Threshold costs -0.1b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(pow.f64 x 3)

Outputs
(pow.f64 x 3)

Calls

2 calls:

3.0ms	x
3.0ms	(.f64 (.f64 x x) x)

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(.f64 (.f64 x x) x)`

Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(pow.f64 x 3)
(.f64 (.f64 x x) x)

Outputs
(pow.f64 x 3)
(.f64 (.f64 x x) x)

Compiler

Compiled 10 to 6 computations (40% saved)

soundness0.0ms (0%)

end21.0ms (1.2%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

Details

analyze4.0ms (0.2%)

sample1.1s (65.1%)

preprocess20.0ms (1.2%)

simplify25.0ms (1.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.3%)

series2.0ms (0.1%)

rewrite262.0ms (14.9%)

simplify251.0ms (14.3%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes7.0ms (0.4%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end21.0ms (1.2%)

Profiling