Details

sample181.0ms

Algorithm

intervals

Results

114.0ms	115×	body	1280	valid
38.0ms	81×	body	640	valid
10.0ms	31×	body	320	valid
5.0ms	256×	pre	80	true
3.0ms	22×	body	160	valid
0.0ms	7×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	11	5
2	11	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.9b	(log (- 1.0 x))
5.9b	(log (+ 1.0 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
9×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 69

Calls

3 calls:

7.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
2.0ms	(log (- 1.0 x))
2.0ms	(log (+ 1.0 x))

series212.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
41.0ms	(log (- 1.0 x))
47.0ms	(log (+ 1.0 x))

simplify45.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	425	668
1	1561	624
2	5001	599

prune187.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.9b	(log (- 1.0 x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

92×	`times-frac`
83×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
49×	`*-un-lft-identity`
47×	`add-cube-cbrt`
29×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`pow1` `div-exp` `prod-exp` `add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
5×	`log-prod` `log-pow`
4×	`log-div` `associate-/r/` `associate-/l*`
3×	`flip3--` `associate-r/` `associate-l` `associate-/r` `flip--` `add-log-exp`
2×	`cbrt-undiv` `div-sub` `frac-sub` `cbrt-unprod` `div-inv`
1×	`frac-2neg` `flip3-+` `rem-log-exp` `pow-prod-down` `clear-num` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 163

Calls

3 calls:

26.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
25.0ms	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
2.0ms	(log (- 1.0 x))

series225.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
133.0ms	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
42.0ms	(log (- 1.0 x))

simplify108.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	995	1550
1	4213	1389
2	5001	1389

prune473.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
158×	`add-sqr-sqrt`
136×	`associate-r`
112×	`unpow-prod-down`
94×	`*-un-lft-identity`
82×	`add-cube-cbrt`
51×	`add-exp-log`
48×	`unpow2` `sqr-pow`
34×	`unswap-sqr`
20×	`prod-exp`
19×	`div-exp`
15×	`add-cbrt-cube`
12×	`pow-to-exp` `pow-exp`
11×	`pow1`
8×	`distribute-lft-out--`
6×	`associate-l` `associate-/l*`
4×	`associate-*r/` `associate-/r/` `log-pow` `cbrt-unprod` `difference-of-squares`
3×	`cbrt-undiv` `associate-/r*` `div-inv` `add-log-exp`
2×	`flip3--` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `associate-/l/`
1×	`frac-2neg` `flip3-+` `div-sub` `clear-num` `flip-+`

Counts

3 → 266

Calls

3 calls:

26.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
28.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
38.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series226.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
48.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
124.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify95.0ms

Algorithm

egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	855	2669
1	4152	2250
2	5001	2250

prune717.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(/ 1 (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.2b	(* (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (/ 1 (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
165×	`add-sqr-sqrt`
153×	`associate-r`
112×	`unpow-prod-down`
92×	`*-un-lft-identity`
88×	`add-cube-cbrt`
63×	`add-exp-log`
48×	`unpow2` `sqr-pow`
37×	`unswap-sqr`
24×	`prod-exp`
22×	`div-exp`
21×	`add-cbrt-cube`
12×	`pow1` `pow-to-exp` `associate-l` `pow-exp`
8×	`associate-/r/`
7×	`associate-*r/`
6×	`cbrt-unprod`
4×	`cbrt-undiv` `flip3--` `frac-sub` `flip--` `div-inv` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`frac-times` `rec-exp` `flip3-+` `1-exp` `associate-*l/` `flip-+` `distribute-lft-out--`
1×	`pow-flip` `frac-2neg` `clear-num` `log-pow` `un-div-inv` `inv-pow` `difference-of-squares`

Counts

4 → 302

Calls

4 calls:

27.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
26.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
23.0ms	(/ 1 (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
71.0ms	(* (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (/ 1 (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series315.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
53.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
89.0ms	(/ 1 (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
120.0ms	(* (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (/ 1 (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify122.0ms

Algorithm

egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	998	2938
1	4847	2557
2	5001	2557

prune848.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	17
1	19	17

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.3s	3389×	body	1280	valid
1.2s	2527×	body	640	valid
318.0ms	1251×	body	320	valid
142.0ms	8000×	pre	80	true
93.0ms	624×	body	160	valid
12.0ms	209×	body	80	valid