Details

analyze498.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

sample56.0ms

Algorithm

intervals

Results

9.0ms	184×	body	80	valid
4.0ms	28×	body	1280	valid
2.0ms	19×	body	640	valid
1.0ms	16×	body	320	valid
1.0ms	5×	body	2560	valid
0.0ms	4×	body	160	valid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	5123	5

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.2b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

6.0ms

(* y (- x z))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* y (- x z))

simplify60.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4952	172
1	4952	172

prune30.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* y x) (* y (neg z)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+ (* y x) (* y (neg z)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ (* y x) (* y (neg z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5170	116

prune19.0ms

Filtered

11 candidates to 16 candidates (-45.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Merged error: 0b

Counts

19 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

2.1b	(- (* x x) (* z z))
8.7b	(* y (- (* x x) (* z z)))
19.8b	(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

4.0ms	(- (* x x) (* z z))
8.0ms	(* y (- (* x x) (* z z)))
9.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series40.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(- (* x x) (* z z))
15.0ms	(* y (- (* x x) (* z z)))
19.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4970	683
1	4970	683

prune57.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	71	3	74

Merged error: 0b

Counts

74 → 3

regimes128.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

179.0ms	5647×	body	80	valid
121.0ms	847×	body	1280	valid
75.0ms	658×	body	640	valid
41.0ms	239×	body	2560	valid
36.0ms	398×	body	320	valid
12.0ms	211×	body	160	valid

Details

analyze498.0ms

sample56.0ms

simplify149.0ms

prune10.0ms

localize4.0ms

rewrite7.0ms

series7.0ms

simplify60.0ms

prune30.0ms

localize6.0ms

rewrite4.0ms

series7.0ms

simplify51.0ms

prune19.0ms

localize9.0ms

rewrite22.0ms

series40.0ms

simplify41.0ms

prune57.0ms

regimes128.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling