Details

sample100.0ms

Algorithm

intervals

Results

50.0ms	105×	body	1280	valid
21.0ms	89×	body	640	valid
7.0ms	245×	body	80	nan
5.0ms	37×	body	320	valid
5.0ms	19×	body	160	valid
0.0ms	6×	body	80	valid

simplify13.0ms

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	61	6
4	88	6
5	104	6
6	113	6
7	113	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize7.0ms

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)))

rewrite18.0ms

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×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

8.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
128.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify116.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	318	660
1	1025	624
2	4261	602
3	5001	602

prune184.0ms

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)))

rewrite26.0ms

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` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

20.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	528	643
1	2205	526
2	5001	525

prune269.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

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)))))

rewrite29.0ms

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×	`cbrt-unprod`
1×	`cbrt-undiv` `exp-prod` `exp-to-pow` `associate-r/` `rem-log-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 124

Calls

2 calls:

20.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.0ms	(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

series104.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
56.0ms	(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	546	743
1	2231	610
2	5001	609

prune361.0ms

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))))

rewrite61.0ms

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×	`flip3--` `div-exp` `rem-log-exp` `add-cbrt-cube` `flip--` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

4 → 320

Calls

4 calls:

10.0ms	(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
9.0ms	(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
10.0ms	(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))
14.0ms	(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

317.0ms	(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
139.0ms	(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
316.0ms	(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))
321.0ms	(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))

simplify66.0ms

Algorithm

egg-herbie

Counts

332 → 332

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	478	4006
1	1437	3928
2	5002	3886

prune933.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes22.0ms

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	20	12
1	20	12

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.5s	3487×	body	1280	valid
608.0ms	2455×	body	640	valid
235.0ms	8243×	body	80	nan
183.0ms	1244×	body	320	valid
55.0ms	608×	body	160	valid
9.0ms	206×	body	80	valid