Details

sample96.0ms

Algorithm

intervals

Results

47.0ms	104×	body	1280	valid
19.0ms	76×	body	640	valid
8.0ms	264×	body	80	nan
7.0ms	47×	body	320	valid
2.0ms	26×	body	160	valid
0.0ms	3×	body	80	valid

simplify16.0ms

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: 59.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.3b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite38.0ms

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:

26.0ms	(/ (+ 1.0 x) (- 1.0 x))
9.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series146.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (+ 1.0 x) (- 1.0 x))
112.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify118.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (110.0ms)

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

prune254.0ms

Pruning

3 alts after pruning (3 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)))

rewrite44.0ms

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:

35.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	532	717
1	2653	534
2	5002	533

prune381.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

7.3b	(log (- 1.0 x))
7.3b	(log (+ 1.0 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `log-div`
2×	`expm1-log1p-u` `rem-log-exp` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

6.0ms	(log (- 1.0 x))
4.0ms	(log (+ 1.0 x))

series81.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(log (- 1.0 x))
38.0ms	(log (+ 1.0 x))

simplify49.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	201	209
1	533	187
2	1762	182
3	5001	177

prune104.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
2.1b	(log (- (* 1.0 1.0) (* x x)))
7.3b	(log (- 1.0 x))
7.3b	(log (- 1.0 x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
23×	`log-prod`
20×	`pow1`
18×	`add-cube-cbrt`
16×	`prod-diff` `log-pow`
10×	`log-div`
7×	`add-exp-log` `distribute-lft-out--`
6×	`flip3--` `flip--` `difference-of-squares`
5×	`associate--r+`
4×	`expm1-log1p-u` `fma-neg` `associate--l+` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp`
2×	`associate--l-` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

4 → 105

Calls

4 calls:

18.0ms	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
9.0ms	(log (- (* 1.0 1.0) (* x x)))
6.0ms	(log (- 1.0 x))
6.0ms	(log (- 1.0 x))

series296.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
111.0ms	(log (- (* 1.0 1.0) (* x x)))
38.0ms	(log (- 1.0 x))
43.0ms	(log (- 1.0 x))

simplify45.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	428	1122
1	1446	826
2	5002	732

prune404.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes34.0ms

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	3364×	body	1280	valid
642.0ms	2549×	body	640	valid
238.0ms	7993×	body	80	nan
191.0ms	1273×	body	320	valid
57.0ms	609×	body	160	valid
9.0ms	205×	body	80	valid