Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

342×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

prune1.0ms

Filtered

1 candidates to 0 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 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-l`
12×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative`
1×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

10.0ms

(* (* x 3.0) x)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (* x 3.0) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	127	122
1	478	107
2	2445	101
3	5002	99

prune43.0ms

Filtered

36 candidates to 22 candidates (61.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3.0 (pow x 2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`expm1-log1p-u` `pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

6.0ms

(* 3.0 (pow x 2))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* 3.0 (pow x 2))

simplify75.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	109	110
1	408	95
2	1981	95
3	5002	94

prune45.0ms

Filtered

33 candidates to 19 candidates (57.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	32	7	39

Merged error: 0b

Counts

39 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
0.2b	(* (cbrt 3.0) (pow x 2))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

286×	`add-sqr-sqrt`
209×	`unswap-sqr`
120×	`cbrt-prod`
49×	`associate-r`
45×	`associate-l`
40×	`add-cbrt-cube`
39×	`cbrt-unprod`
31×	`add-exp-log`
28×	`unpow-prod-down`
24×	`swap-sqr` `unpow2` `sqr-pow`
21×	`prod-exp`
20×	`add-cube-cbrt` `*-un-lft-identity`
16×	`pow1`
13×	`*-commutative`
9×	`pow-prod-down`
3×	`pow-to-exp` `pow-exp`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 210

Calls

2 calls:

33.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
8.0ms	(* (cbrt 3.0) (pow x 2))

series146.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
54.0ms	(* (cbrt 3.0) (pow x 2))

simplify87.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	687	2293
1	2694	1830
2	5002	1728

prune218.0ms

Filtered

216 candidates to 96 candidates (44.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	214	2	216
Fresh	4	0	4
Picked	1	0	1
Done	0	2	2
Total	219	4	223

Merged error: 0b

Counts

223 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (pow (sqrt (cbrt 3.0)) 3) x) x)
0.3b	(* (* (cbrt 3.0) (sqrt (cbrt 3.0))) (* (* (pow (sqrt (cbrt 3.0)) 3) x) x))
0.4b	(* (pow (sqrt (cbrt 3.0)) 3) x)
1.0b	(pow (sqrt (cbrt 3.0)) 3)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

315×	`add-sqr-sqrt`
211×	`unswap-sqr`
128×	`associate-l`
86×	`sqrt-prod`
72×	`unpow-prod-down`
70×	`cbrt-prod`
65×	`associate-r`
57×	`add-exp-log`
42×	`add-cbrt-cube`
39×	`prod-exp`
34×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
28×	`cbrt-unprod`
19×	`pow-prod-down`
16×	`sqr-pow`
7×	`*-commutative`
5×	`pow-to-exp` `pow-exp`
4×	`expm1-log1p-u` `pow-pow` `unpow3` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`sqrt-pow1`
1×	`pow1/2` `pow1/3` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 273

Calls

4 calls:

15.0ms	(* (* (pow (sqrt (cbrt 3.0)) 3) x) x)
47.0ms	(* (* (cbrt 3.0) (sqrt (cbrt 3.0))) (* (* (pow (sqrt (cbrt 3.0)) 3) x) x))
8.0ms	(* (pow (sqrt (cbrt 3.0)) 3) x)
3.0ms	(pow (sqrt (cbrt 3.0)) 3)

series365.0ms

Counts

4 → 10

Calls

4 calls:

130.0ms	(* (* (pow (sqrt (cbrt 3.0)) 3) x) x)
98.0ms	(* (* (cbrt 3.0) (sqrt (cbrt 3.0))) (* (* (pow (sqrt (cbrt 3.0)) 3) x) x))
137.0ms	(* (pow (sqrt (cbrt 3.0)) 3) x)
0.0ms	(pow (sqrt (cbrt 3.0)) 3)

simplify186.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	849	3298
1	4928	2525
2	5001	2525

prune474.0ms

Filtered

283 candidates to 177 candidates (62.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	283	4	287

Merged error: 0b

Counts

287 → 4

regimes30.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample254.0ms

Algorithm

intervals

Results

140.0ms

10586×

body

valid