Details

sample97.0ms

Algorithm

intervals

Results

54.0ms	117×	body	1280	valid
19.0ms	75×	body	640	valid
6.0ms	38×	body	320	valid
5.0ms	191×	body	80	nan
2.0ms	20×	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: 58.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
4.9b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite23.0ms

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:

14.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (+ 1.0 x) (- 1.0 x))
124.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify120.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (112.0ms)

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

prune192.0ms

Pruning

4 alts after pruning (4 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:

26.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (44.0ms)

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

prune289.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
4.9b	(log (/ (+ 1.0 x) (- 1.0 x)))
4.9b	(log (/ (+ 1.0 x) (- 1.0 x)))
4.9b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
78×	`log-prod`
60×	`times-frac`
59×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3--` `div-exp` `flip--` `div-inv`
1×	`pow1/3`

Counts

4 → 131

Calls

4 calls:

1.0ms	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
5.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series813.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
120.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
118.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
302.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify145.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	361	1260
1	1075	1189
2	4711	1130
3	5001	1121

prune402.0ms

Pruning

4 alts after pruning (2 fresh and 2 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))
4.9b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
4.9b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite44.0ms

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:

13.0ms	(/ (+ 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))))

series414.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (+ 1.0 x) (- 1.0 x))
33.0ms	(/ (+ 1.0 x) (- 1.0 x))
174.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
176.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify48.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (32.0ms)

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

prune438.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes82.0ms

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

sample2.9s

Algorithm

intervals

Results

1.5s	3381×	body	1280	valid
624.0ms	2452×	body	640	valid
235.0ms	7986×	body	80	nan
199.0ms	1297×	body	320	valid
66.0ms	650×	body	160	valid
10.0ms	220×	body	80	valid