Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	276×	body	80	nan
9.0ms	258×	body	80	valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	5

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
84×	`prod-diff`
83×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
44×	`associate-+l+`
34×	`associate-l`
28×	`associate-r`
18×	`log-prod`
14×	`distribute-lft-out`
12×	`pow1` `associate--r+`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out--` `unswap-sqr`
8×	`fma-def`
7×	`associate-+l-` `log-pow` `*-commutative`
5×	`add-exp-log` `add-cbrt-cube`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`sub-neg` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip-+`
1×	`+-commutative` `flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`

Counts

3 → 177

Calls

3 calls:

11.0ms	(- x (* (+ y 0.5) (log y)))
18.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms	(* (+ y 0.5) (log y))

series358.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- x (* (+ y 0.5) (log y)))
48.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
261.0ms	(* (+ y 0.5) (log y))

simplify88.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	608	2115
1	2146	1539
2	5001	1413

prune339.0ms

Filtered

186 candidates to 116 candidates (62.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	181	5	186
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	182	5	187

Merged error: 0.0b

Counts

187 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- x (* (log (sqrt y)) (+ y 0.5))) (* (log (sqrt y)) (+ y 0.5)))
0.1b	(+ (- (- x (* (log (sqrt y)) (+ y 0.5))) (* (log (sqrt y)) (+ y 0.5))) y)
0.2b	(* (log (sqrt y)) (+ y 0.5))
0.2b	(* (log (sqrt y)) (+ y 0.5))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

445×	`*-un-lft-identity`
363×	`add-sqr-sqrt`
352×	`prod-diff`
252×	`associate-l`
180×	`associate-+l+`
162×	`distribute-lft-out--`
140×	`add-cube-cbrt`
126×	`log-pow`
110×	`pow1`
100×	`associate--l+`
96×	`associate-r`
70×	`difference-of-squares`
59×	`unswap-sqr`
37×	`distribute-lft-out`
24×	`sqrt-pow1` `pow1/2` `*-commutative`
18×	`add-log-exp`
17×	`fma-def`
16×	`associate--r+`
13×	`+-commutative`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate--l-` `associate-+l-`
8×	`add-exp-log` `fma-neg` `associate-*r/` `add-cbrt-cube`
6×	`diff-log`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `sub-neg` `frac-sub` `log1p-expm1-u`
3×	`flip3--` `sum-log` `flip--`
2×	`pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

4 → 523

Calls

4 calls:

32.0ms	(- (- x (* (log (sqrt y)) (+ y 0.5))) (* (log (sqrt y)) (+ y 0.5)))
54.0ms	(+ (- (- x (* (log (sqrt y)) (+ y 0.5))) (* (log (sqrt y)) (+ y 0.5))) y)
7.0ms	(* (log (sqrt y)) (+ y 0.5))
7.0ms	(* (log (sqrt y)) (+ y 0.5))

series437.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(- (- x (* (log (sqrt y)) (+ y 0.5))) (* (log (sqrt y)) (+ y 0.5)))
140.0ms	(+ (- (- x (* (log (sqrt y)) (+ y 0.5))) (* (log (sqrt y)) (+ y 0.5))) y)
92.0ms	(* (log (sqrt y)) (+ y 0.5))
93.0ms	(* (log (sqrt y)) (+ y 0.5))

simplify167.0ms

Algorithm

egg-herbie

Counts

535 → 535

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	949	9885
1	3687	6114
2	5001	4724

prune972.0ms

Filtered

535 candidates to 273 candidates (51.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	532	3	535
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	534	6	540

Merged error: 0.0b

Counts

540 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series934.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt y) (cbrt y))
373.0ms	(cbrt y)
182.0ms	(cbrt y)
185.0ms	(cbrt y)

simplify100.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune258.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (* 1 (pow y 1/3)))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
32×	`unswap-sqr`
28×	`associate-r`
23×	`*-un-lft-identity`
20×	`add-exp-log`
16×	`cbrt-prod`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt`
13×	`prod-exp`
12×	`unpow-prod-down`
10×	`pow1` `cbrt-unprod`
9×	`associate-l`
8×	`sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `unpow1/3` `1-exp` `pow-prod-down` `pow-exp`
2×	`pow1/3` `*-commutative`
1×	`pow-pow`

Counts

4 → 112

Calls

4 calls:

14.0ms	(* (cbrt y) (* 1 (pow y 1/3)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series759.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt y) (* 1 (pow y 1/3)))
183.0ms	(cbrt y)
184.0ms	(cbrt y)
181.0ms	(pow y 1/3)

simplify42.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	344	509
1	1233	344
2	5001	322

prune336.0ms

Filtered

124 candidates to 85 candidates (68.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	124	5	129

Merged error: 0.0b

Counts

129 → 5

regimes81.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample857.0ms

Algorithm

intervals

Results

286.0ms	8034×	body	80	valid
233.0ms	8126×	body	80	nan