Details

sample100.0ms

Algorithm

intervals

Results

49.0ms	106×	body	1280	valid
18.0ms	71×	body	640	valid
10.0ms	234×	body	80	nan
9.0ms	60×	body	320	valid
2.0ms	14×	body	160	valid
0.0ms	5×	body	80	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 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)))

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×	`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:

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

series163.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (+ 1.0 x) (- 1.0 x))
125.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify121.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (113.0ms)

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

prune201.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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:

22.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (44.0ms)

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

prune293.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

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)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
55×	`add-sqr-sqrt`
50×	`log-prod`
45×	`times-frac`
35×	`add-cube-cbrt`
21×	`associate-+l+`
14×	`pow1` `add-exp-log`
11×	`log-pow`
10×	`distribute-lft-out--` `difference-of-squares`
6×	`log-div` `fma-def` `associate-/r/` `add-cbrt-cube` `distribute-lft-out`
5×	`rem-log-exp` `associate-/r*`
4×	`expm1-log1p-u` `associate-+r+` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-flip` `flip3-+` `flip--` `flip-+` `div-inv` `associate-/l*` `inv-pow`
2×	`associate-+r-` `rec-exp` `1-exp`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `log-rec` `clear-num` `sum-log`

Counts

4 → 150

Calls

4 calls:

13.0ms	(+ (log (/ 1 (- 1.0 x))) (log (+ 1.0 x)))
6.0ms	(/ 1 (- 1.0 x))
3.0ms	(log (+ 1.0 x))
6.0ms	(log (/ 1 (- 1.0 x)))

series320.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(+ (log (/ 1 (- 1.0 x))) (log (+ 1.0 x)))
23.0ms	(/ 1 (- 1.0 x))
48.0ms	(log (+ 1.0 x))
64.0ms	(log (/ 1 (- 1.0 x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	509	945
1	1705	850
2	5002	780

prune288.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 90

Calls

4 calls:

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

series207.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(log (+ 1.0 x))
42.0ms	(log (+ 1.0 x))
48.0ms	(log (+ 1.0 x))
69.0ms	(log (/ 1 (- 1.0 x)))

simplify83.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	301	563
1	828	517
2	3083	486
3	5002	464

prune255.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes27.0ms

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	16	10
1	16	10

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.5s	3390×	body	1280	valid
641.0ms	2536×	body	640	valid
236.0ms	8171×	body	80	nan
193.0ms	1270×	body	320	valid
56.0ms	607×	body	160	valid
8.0ms	197×	body	80	valid