Details

sample98.0ms

Algorithm

intervals

Results

50.0ms	105×	body	1280	valid
22.0ms	89×	body	640	valid
7.0ms	245×	body	80	nan
6.0ms	37×	body	320	valid
2.0ms	19×	body	160	valid
0.0ms	6×	body	80	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	6
1	25	6
2	40	6
3	65	6
4	98	6
5	122	6
6	135	6
7	137	6
8	137	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.8b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

12.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (+ 1.0 x) (- 1.0 x))
127.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify121.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	334	673
1	1078	636
2	4549	616
3	5001	613

prune207.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 112

Calls

1 calls:

28.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify52.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	532	653
1	2211	536
2	5002	535

prune308.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
3.1b	(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
71×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
37×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
5×	`pow1`
3×	`log-prod` `associate-l` `log-pow` `add-log-exp`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
1×	`cbrt-undiv` `exp-prod` `exp-to-pow` `associate-r/` `rem-log-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 128

Calls

2 calls:

31.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
1.0ms	(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

series109.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
50.0ms	(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	552	763
1	2239	630
2	5001	629

prune429.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
0.0b	(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
5.7b	(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))
5.7b	(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

286×	`cbrt-prod`
262×	`*-un-lft-identity`
224×	`times-frac`
194×	`add-sqr-sqrt`
134×	`add-cube-cbrt`
124×	`log-prod`
34×	`distribute-lft-out`
30×	`distribute-lft-out--` `difference-of-squares`
16×	`associate-/r*`
14×	`add-exp-log` `associate-/l*`
12×	`cbrt-div`
8×	`associate-/r/`
6×	`pow1`
4×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `add-cbrt-cube` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

4 → 328

Calls

4 calls:

13.0ms	(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
13.0ms	(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
9.0ms	(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))
9.0ms	(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

330.0ms	(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
136.0ms	(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
325.0ms	(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))
331.0ms	(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))

simplify81.0ms

Algorithm

egg-herbie

Counts

340 → 340

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	493	4044
1	1503	3962
2	5001	3916

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes24.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	3487×	body	1280	valid
626.0ms	2455×	body	640	valid
239.0ms	8243×	body	80	nan
190.0ms	1244×	body	320	valid
57.0ms	608×	body	160	valid
9.0ms	206×	body	80	valid