Details

sample96.0ms

Algorithm

intervals

Results

47.0ms	104×	body	1280	valid
21.0ms	85×	body	640	valid
8.0ms	273×	body	80	nan
6.0ms	40×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	5×	body	80	valid

simplify14.0ms

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: 58.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite19.0ms

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:

10.0ms	(/ (+ 1.0 x) (- 1.0 x))
5.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ 1.0 x) (- 1.0 x))
122.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify119.0ms

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

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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:

28.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* 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

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
6.1b	(log (- 1.0 x))
6.2b	(log (+ 1.0 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`log-prod`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`add-exp-log` `associate--r+`
4×	`associate--l+`
3×	`flip3--` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 61

Calls

3 calls:

7.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
2.0ms	(log (- 1.0 x))
3.0ms	(log (+ 1.0 x))

series325.0ms

Counts

3 → 9

Calls

3 calls:

244.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
40.0ms	(log (- 1.0 x))
42.0ms	(log (+ 1.0 x))

simplify71.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	302	431
1	776	410
2	2776	393
3	5001	393

prune128.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 2/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
0.1b	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
0.1b	(* 2/3 (/ (pow x 3) (pow 1.0 3)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
201×	`associate-r`
172×	`add-sqr-sqrt`
128×	`unpow-prod-down`
107×	`add-cube-cbrt` `*-un-lft-identity`
80×	`cube-prod`
52×	`sqr-pow`
49×	`add-exp-log`
27×	`unswap-sqr`
24×	`cube-mult` `unpow3`
20×	`prod-exp`
18×	`div-exp`
13×	`add-cbrt-cube`
12×	`pow-to-exp` `pow-exp`
8×	`add-log-exp`
7×	`pow1`
6×	`associate-l`
4×	`associate-*r/` `cbrt-unprod`
3×	`sum-log`
2×	`cbrt-undiv` `flip3-+` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`
1×	`+-commutative` `associate-+r+`

Counts

3 → 293

Calls

3 calls:

19.0ms	(+ (* 2/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
21.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
47.0ms	(* 2/3 (/ (pow x 3) (pow 1.0 3)))

series268.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(+ (* 2/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
96.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
76.0ms	(* 2/3 (/ (pow x 3) (pow 1.0 3)))

simplify55.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1232	1872
1	5001	1683

prune736.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3343×	body	1280	valid
630.0ms	2568×	body	640	valid
232.0ms	8122×	body	80	nan
186.0ms	1257×	body	320	valid
58.0ms	635×	body	160	valid
8.0ms	197×	body	80	valid