Details

sample98.0ms

Algorithm

intervals

Results

47.0ms	104×	body	1280	valid
22.0ms	92×	body	640	valid
7.0ms	32×	body	320	valid
7.0ms	234×	body	80	nan
2.0ms	19×	body	160	valid
0.0ms	9×	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: 58.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.3b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite38.0ms

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:

25.0ms	(/ (+ 1.0 x) (- 1.0 x))
9.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series145.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ 1.0 x) (- 1.0 x))
114.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify115.0ms

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

prune186.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite75.0ms

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` `add-log-exp`
5×	`associate-+r+` `associate-*r/`
4×	`pow1` `frac-add`
3×	`log-prod` `flip3-+` `associate-l` `associate--l+` `flip-+`
2×	`associate-+l+` `flip3--` `sum-log` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `associate-+r-` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `*-commutative` `div-inv`

Counts

2 → 134

Calls

2 calls:

28.0ms	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
40.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series359.0ms

Counts

2 → 6

Calls

2 calls:

306.0ms	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
53.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify87.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	799	1100
1	3634	972
2	5002	968

prune354.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.3b	(log (+ 1.0 x))
5.3b	(log (- 1.0 x))

rewrite29.0ms

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:

18.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
4.0ms	(log (+ 1.0 x))
5.0ms	(log (- 1.0 x))

series342.0ms

Counts

3 → 9

Calls

3 calls:

254.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
46.0ms	(log (+ 1.0 x))
42.0ms	(log (- 1.0 x))

simplify72.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (19.0ms)

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

prune140.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
201×	`associate-r`
171×	`add-sqr-sqrt`
128×	`unpow-prod-down`
106×	`add-cube-cbrt` `*-un-lft-identity`
80×	`cube-prod`
52×	`sqr-pow`
48×	`add-exp-log`
27×	`unswap-sqr`
24×	`cube-mult` `unpow3`
20×	`prod-exp`
18×	`div-exp`
12×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
6×	`pow1` `associate-l`
4×	`cbrt-unprod`
2×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

2 → 278

Calls

2 calls:

33.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
63.0ms	(* 2/3 (/ (pow x 3) (pow 1.0 3)))

series173.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
76.0ms	(* 2/3 (/ (pow x 3) (pow 1.0 3)))

simplify64.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1050	1560
1	5001	1380

prune873.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.5s	3371×	body	1280	valid
621.0ms	2500×	body	640	valid
219.0ms	7914×	body	80	nan
187.0ms	1284×	body	320	valid
57.0ms	640×	body	160	valid
8.0ms	205×	body	80	valid