Details

sample99.0ms

Algorithm

intervals

Results

53.0ms	106×	body	1280	valid
19.0ms	77×	body	640	valid
7.0ms	254×	body	80	nan
6.0ms	44×	body	320	valid
2.0ms	19×	body	160	valid
0.0ms	10×	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: 58.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.7b	(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)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
128.0ms	(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

prune214.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune16.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.7b	(log (+ 1.0 x))
5.7b	(log (- 1.0 x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`pow1` `log-prod`
16×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
8×	`log-div`
6×	`distribute-lft-out--`
5×	`add-exp-log` `associate--r+`
4×	`fma-neg` `associate--l+`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `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 → 87

Calls

3 calls:

9.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
2.0ms	(log (+ 1.0 x))
3.0ms	(log (- 1.0 x))

series553.0ms

Counts

3 → 9

Calls

3 calls:

462.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
41.0ms	(log (+ 1.0 x))
49.0ms	(log (- 1.0 x))

simplify125.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	372	830
1	1084	632
2	4581	619
3	5001	598

prune169.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 2/3 (/ (pow x 3) (pow 1.0 3)) (fma 2.0 x (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
0.1b	(* 2/5 (/ (pow x 5) (pow 1.0 5)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
55×	`add-sqr-sqrt`
53×	`associate-r`
48×	`unpow-prod-down`
32×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
20×	`sqr-pow`
10×	`prod-exp` `unswap-sqr`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 100

Calls

2 calls:

0.0ms	(fma 2/3 (/ (pow x 3) (pow 1.0 3)) (fma 2.0 x (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
23.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))

series194.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(fma 2/3 (/ (pow x 3) (pow 1.0 3)) (fma 2.0 x (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
98.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))

simplify59.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	494	703
1	2136	666
2	5001	666

prune364.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3371×	body	1280	valid
611.0ms	2461×	body	640	valid
222.0ms	8112×	body	80	nan
186.0ms	1283×	body	320	valid
60.0ms	648×	body	160	valid
10.0ms	237×	body	80	valid