Details

sample135.0ms

Algorithm

intervals

Results

61.0ms	101×	body	1280	valid
30.0ms	80×	body	640	valid
16.0ms	258×	body	80	nan
12.0ms	48×	body	320	valid
4.0ms	21×	body	160	valid
0.0ms	6×	body	80	valid

simplify17.0ms

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	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: 58.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.0b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite20.0ms

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:

11.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (+ 1.0 x) (- 1.0 x))
125.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify124.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (115.0ms)

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

prune205.0ms

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	(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

series313.0ms

Counts

1 → 3

Calls

1 calls:

313.0ms

(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

simplify108.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	43	116
1	124	99
2	467	99
3	3169	99
4	5001	99

prune51.0ms

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	(/ (+ 1.0 x) (- 1.0 x))
0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.0b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
6.0b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
80×	`times-frac`
58×	`log-prod`
52×	`sqrt-prod`
48×	`add-cube-cbrt`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `associate-/r*`
8×	`pow1` `associate-/r/` `add-cbrt-cube` `associate-/l*`
6×	`log-pow`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `log-div` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `div-exp` `rem-log-exp` `clear-num` `flip-+`

Counts

4 → 180

Calls

4 calls:

15.0ms	(/ (+ 1.0 x) (- 1.0 x))
11.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
6.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series636.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (+ 1.0 x) (- 1.0 x))
34.0ms	(/ (+ 1.0 x) (- 1.0 x))
379.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
192.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify47.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	382	1648
1	1193	1562
2	5002	1480

prune442.0ms

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	(/ (+ 1.0 x) (- 1.0 x))
0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.0b	(log (/ (+ 1.0 x) (- 1.0 x)))
6.0b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
80×	`times-frac`
55×	`log-prod`
47×	`add-cube-cbrt`
26×	`sqrt-prod`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
12×	`add-exp-log`
10×	`associate-/r*`
8×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
7×	`pow1`
4×	`expm1-log1p-u` `flip3--` `log-pow` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
3×	`div-exp` `rem-log-exp`
2×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`sqrt-pow1` `pow1/2` `sqrt-div`

Counts

4 → 176

Calls

4 calls:

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

series364.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
34.0ms	(/ (+ 1.0 x) (- 1.0 x))
116.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
181.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify50.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	492	1497
1	1552	1417
2	5002	1368

prune410.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes62.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b 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

sample4.2s

Algorithm

intervals

Results

2.1s	3419×	body	1280	valid
968.0ms	2528×	body	640	valid
503.0ms	8017×	body	80	nan
314.0ms	1241×	body	320	valid
104.0ms	603×	body	160	valid
18.0ms	209×	body	80	valid