Details

sample100.0ms

Algorithm

intervals

Results

50.0ms	106×	body	1280	valid
21.0ms	71×	body	640	valid
9.0ms	60×	body	320	valid
7.0ms	234×	body	80	nan
2.0ms	14×	body	160	valid
0.0ms	5×	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: 59.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
3.6b	(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:

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

series166.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
133.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify123.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (25.0ms)

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

prune187.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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)))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (45.0ms)

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

prune281.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ 1 (- 1.0 x))) (log (+ 1.0 x)))
0.0b	(/ 1 (- 1.0 x))
3.7b	(log (+ 1.0 x))
3.7b	(log (/ 1 (- 1.0 x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
50×	`log-prod`
45×	`times-frac`
34×	`add-cube-cbrt`
21×	`associate-+l+`
14×	`add-exp-log`
12×	`pow1`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube` `distribute-lft-out`
5×	`rem-log-exp` `associate-/r*`
4×	`associate-+r+` `div-exp` `add-log-exp`
3×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv` `associate-/l*`
2×	`associate-+r-` `rec-exp` `pow-flip` `1-exp` `inv-pow`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `log-rec` `clear-num` `sum-log`

Counts

4 → 136

Calls

4 calls:

11.0ms	(+ (log (/ 1 (- 1.0 x))) (log (+ 1.0 x)))
5.0ms	(/ 1 (- 1.0 x))
3.0ms	(log (+ 1.0 x))
6.0ms	(log (/ 1 (- 1.0 x)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(+ (log (/ 1 (- 1.0 x))) (log (+ 1.0 x)))
31.0ms	(/ 1 (- 1.0 x))
42.0ms	(log (+ 1.0 x))
70.0ms	(log (/ 1 (- 1.0 x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	479	923
1	1596	831
2	5001	755

prune262.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

3.7b	(log (+ 1.0 x))
3.7b	(log (+ 1.0 x))
3.7b	(log (+ 1.0 x))
3.7b	(log (/ 1 (- 1.0 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

33×	`log-prod`
28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
12×	`add-exp-log`
9×	`pow1`
7×	`log-div` `rem-log-exp`
6×	`log-pow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
2×	`div-exp` `associate-/r/`
1×	`rec-exp` `flip3--` `pow-flip` `1-exp` `log-rec` `flip--` `div-inv` `inv-pow`

Counts

4 → 82

Calls

4 calls:

3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
5.0ms	(log (/ 1 (- 1.0 x)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(log (+ 1.0 x))
46.0ms	(log (+ 1.0 x))
41.0ms	(log (+ 1.0 x))
69.0ms	(log (/ 1 (- 1.0 x)))

simplify87.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	284	548
1	766	504
2	2848	467
3	5001	450

prune420.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes21.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	3390×	body	1280	valid
657.0ms	2536×	body	640	valid
253.0ms	8171×	body	80	nan
198.0ms	1270×	body	320	valid
57.0ms	607×	body	160	valid
8.0ms	197×	body	80	valid