Details

analyze7.0ms (0.3%)

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
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample1.4s (52.7%)

Results

1.3s	8256×	body	256	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess30.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

6×	`rational_best.json-simplify-2`
2×	`rational_best.json-simplify-74`
2×	`rational_best.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	8	13
2	10	13
3	13	13
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify55.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

6×	`rational_best.json-simplify-2`
2×	`rational_best.json-simplify-74`
2×	`rational_best.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	8	13
2	10	13
3	13	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% 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

0.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 x 3) x)
1.0ms	x	@	inf	(.f64 (.f64 x 3) x)
0.0ms	x	@	-inf	(.f64 (.f64 x 3) x)

rewrite183.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`rational_best.json-5`
1528×	`rational_best.json-2`
1528×	`rational_best.json-3`
1528×	`rational_best.json-1`
1528×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	51	13
2	167	13
3	692	13
4	3090	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x 3)) (/.f64 (.f64 x (.f64 x 3)) (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 x (.f64 x 3))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 3)) (/.f64 (*.f64 x (*.f64 x 3)) (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 x (*.f64 x 3))))))))

simplify332.0ms (12.5%)

Algorithm

1×	egg-herbie

Rules

1696×	`rational_best.json-simplify-132`
1450×	`rational_best.json-simplify-80`
1312×	`rational_best.json-simplify-78`
1076×	`rational_best.json-simplify-82`
910×	`rational_best.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	273
1	43	273
2	87	273
3	229	273
4	1126	273
5	3153	273
6	6070	273

Stop Event

1×	node limit

Counts

21 → 12

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 x (.f64 x 3)) 0)
(+.f64 0 (.f64 x (.f64 x 3)))
(-.f64 (.f64 x (.f64 x 3)) 0)
(-.f64 0 (neg.f64 (.f64 x (.f64 x 3))))
(/.f64 (.f64 x (.f64 x 3)) 1)
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (.f64 x (.f64 x 3)) (.f64 x (.f64 x 3))))
(/.f64 (.f64 x (.f64 x 6)) 2)
(pow.f64 (.f64 x (.f64 x 3)) 1)
(neg.f64 (neg.f64 (.f64 x (.f64 x 3))))

Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 0 (.f64 x (.f64 x 3)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(-.f64 (.f64 x (.f64 x 3)) 0)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(-.f64 0 (neg.f64 (.f64 x (.f64 x 3))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 3)) 1)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 (.f64 x (.f64 x 3)) (.f64 x (.f64 x 3))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 6)) 2)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 3)) 1)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(neg.f64 (neg.f64 (.f64 x (.f64 x 3))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))

eval4.0ms (0.2%)

Compiler: Compiled 90 to 63 computations (30% saved)

prune4.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	2	13

Error

0.1b

Counts

13 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)
▶	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 3 (.f64 x x))
0.0ms	x	@	inf	(.f64 3 (.f64 x x))
0.0ms	x	@	-inf	(.f64 3 (.f64 x x))

rewrite162.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`rational_best.json-5`
1860×	`rational_best.json-2`
1860×	`rational_best.json-3`
1860×	`rational_best.json-1`
1860×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	54	13
2	187	13
3	751	13
4	3700	13

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 3 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (.f64 x x)) (/.f64 (.f64 3 (.f64 x x)) (.f64 3 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 x x)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (*.f64 x x)) (/.f64 (*.f64 3 (*.f64 x x)) (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))))

simplify411.0ms (15.4%)

Algorithm

1×	egg-herbie

Rules

1272×	`rational_best.json-simplify-132`
1208×	`rational_best.json-simplify-80`
1064×	`rational_best.json-simplify-78`
1046×	`rational_best.json-simplify-2`
980×	`rational_best.json-simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	247
1	36	247
2	79	247
3	216	247
4	999	247
5	2467	247
6	4748	247
7	7507	247

Stop Event

1×	node limit

Counts

19 → 10

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (.f64 x x)) 0)
(+.f64 0 (.f64 3 (.f64 x x)))
(-.f64 (.f64 3 (.f64 x x)) 0)
(/.f64 (.f64 3 (.f64 x x)) 1)
(/.f64 (.f64 3 (.f64 x x)) (/.f64 (.f64 3 (.f64 x x)) (.f64 3 (.f64 x x))))
(/.f64 (.f64 x (.f64 x 6)) 2)
(pow.f64 (.f64 3 (.f64 x x)) 1)

Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (.f64 x x)) 0)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 0 (.f64 3 (.f64 x x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(-.f64 (.f64 3 (.f64 x x)) 0)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 3 (.f64 x x)) 1)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 3 (.f64 x x)) (/.f64 (.f64 3 (.f64 x x)) (.f64 3 (.f64 x x))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 6)) 2)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(pow.f64 (.f64 3 (.f64 x x)) 1)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))

eval3.0ms (0.1%)

Compiler: Compiled 75 to 44 computations (41.3% saved)

prune4.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

0.1b

Counts

12 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes12.0ms (0.5%)

Accuracy

Total -0.1b remaining (-72.9%)

Threshold costs -0.1b (-72.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
5.0ms	(.f64 (.f64 x 3) x)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 x 3) x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

soundness0.0ms (0%)

end28.0ms (1%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

Details

analyze7.0ms (0.3%)

sample1.4s (52.7%)

preprocess30.0ms (1.1%)

simplify55.0ms (2.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite183.0ms (6.9%)

simplify332.0ms (12.5%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

localize8.0ms (0.3%)

series0.0ms (0%)

rewrite162.0ms (6.1%)

simplify411.0ms (15.4%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

regimes12.0ms (0.5%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end28.0ms (1%)

Profiling