Details

analyze290.0ms

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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	33×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	76	7
1	76	7

prune3.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`flip3-+` `flip-+`
5×	`add-sqr-sqrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`associate-r/` `associate-l/` `distribute-lft-out`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

8.0ms

(* (+ x y) (+ z 1.0))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (+ x y) (+ z 1.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5035	368

prune43.0ms

Filtered

24 candidates to 33 candidates (-37.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0b

Counts

34 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ z 1.0) (- x y))
0.1b	(* (+ x y) (* (+ z 1.0) (- x y)))
24.2b	(/ (* (+ x y) (* (+ z 1.0) (- x y))) (- x y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times`
39×	`flip3-+` `flip-+`
30×	`associate-*r/`
26×	`associate-/l/`
22×	`flip3--` `flip--`
19×	`add-exp-log` `add-cbrt-cube`
18×	`-un-lft-identity` `associate-l/`
16×	`add-sqr-sqrt`
10×	`pow1`
8×	`add-cube-cbrt` `associate-l`
7×	`prod-exp` `cbrt-unprod`
6×	`sub-neg` `associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/r*`
4×	`pow-prod-down`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`associate-/r/` `*-commutative` `distribute-lft-out`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 135

Calls

3 calls:

8.0ms	(* (+ z 1.0) (- x y))
12.0ms	(* (+ x y) (* (+ z 1.0) (- x y)))
17.0ms	(/ (* (+ x y) (* (+ z 1.0) (- x y))) (- x y))

series26.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (+ z 1.0) (- x y))
12.0ms	(* (+ x y) (* (+ z 1.0) (- x y)))
7.0ms	(/ (* (+ x y) (* (+ z 1.0) (- x y))) (- x y))

simplify40.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5058	2293

prune160.0ms

Filtered

111 candidates to 144 candidates (-29.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	144	3	147

Merged error: 0b

Counts

147 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ z 1.0))
0.1b	(/ (+ x y) (/ 1 (+ z 1.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

146×	`*-un-lft-identity`
144×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
38×	`distribute-lft-out`
22×	`associate-/r*`
15×	`add-exp-log`
13×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 150

Calls

2 calls:

5.0ms	(/ 1 (+ z 1.0))
10.0ms	(/ (+ x y) (/ 1 (+ z 1.0)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/ 1 (+ z 1.0))
7.0ms	(/ (+ x y) (/ 1 (+ z 1.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5042	2023

prune118.0ms

Filtered

78 candidates to 156 candidates (-100.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	156	3	159

Merged error: 0b

Counts

159 → 3

regimes244.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample364.0ms

Algorithm

intervals

Results

184.0ms	7998×	body	80	valid
12.0ms	566×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze290.0ms

sample15.0ms

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series7.0ms

simplify46.0ms

prune43.0ms

localize9.0ms

rewrite46.0ms

series26.0ms

simplify40.0ms

prune160.0ms

localize6.0ms

rewrite24.0ms

series9.0ms

simplify56.0ms

prune118.0ms

regimes244.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample364.0ms

Profiling