Details

sample231.0ms

Algorithm

intervals

Results

143.0ms	111×	body	1280	valid
48.0ms	80×	body	640	valid
11.0ms	32×	body	320	valid
5.0ms	256×	pre	80	true
4.0ms	24×	body	160	valid
1.0ms	9×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	11	9
done	11	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
7.2b	(log (- 1.0 x))
7.2b	(log (+ 1.0 x))

rewrite56.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 75

Calls

3 calls:

37.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
7.0ms	(log (- 1.0 x))
10.0ms	(log (+ 1.0 x))

series310.0ms

Counts

3 → 9

Calls

3 calls:

185.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
73.0ms	(log (- 1.0 x))
53.0ms	(log (+ 1.0 x))

simplify3.6s

Counts

84 → 84

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	192	1243
1	453	1173
2	1321	1093
3	4650	1039
done	5000	1039

prune329.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.2b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
7.2b	(log (- 1.0 x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt` `times-frac`
7×	`pow1`
5×	`add-exp-log` `log-prod` `log-pow`
4×	`log-div` `add-cbrt-cube` `associate-/l*`
3×	`associate-/r*`
2×	`expm1-log1p-u` `flip3--` `div-sub` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 53

Calls

2 calls:

29.0ms	(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
12.0ms	(log (- 1.0 x))

series291.0ms

Counts

2 → 6

Calls

2 calls:

242.0ms	(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
49.0ms	(log (- 1.0 x))

simplify2.8s

Counts

59 → 59

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	181	1508
1	423	1463
2	1244	1364
3	4524	1346
done	5000	1343

prune358.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

98×	`times-frac`
89×	`add-sqr-sqrt`
68×	`associate-r`
59×	`*-un-lft-identity`
56×	`unpow-prod-down`
47×	`add-cube-cbrt`
27×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`div-exp` `prod-exp`
9×	`add-cbrt-cube`
8×	`pow1` `distribute-lft-out--`
6×	`pow-to-exp` `pow-exp` `associate-/l*`
4×	`log-pow` `difference-of-squares`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 156

Calls

2 calls:

84.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
44.0ms	(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))

series274.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
186.0ms	(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))

simplify1.2s

Counts

162 → 162

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	313	3610
1	693	3382
2	1657	2980
done	5000	2964

prune795.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

0.0b

(/ 1 (/ (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

0.0b

(/ (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

242×	`times-frac`
179×	`add-sqr-sqrt`
161×	`*-un-lft-identity`
113×	`add-cube-cbrt`
68×	`associate-r`
56×	`unpow-prod-down`
39×	`add-exp-log`
32×	`distribute-lft-out--`
30×	`associate-/r*`
24×	`unpow2` `sqr-pow`
22×	`pow1`
17×	`div-exp` `unswap-sqr`
16×	`log-pow` `difference-of-squares`
15×	`add-cbrt-cube`
11×	`associate-/r/`
10×	`prod-exp`
7×	`div-inv`
6×	`pow-to-exp` `pow-exp` `associate-/l*`
5×	`cbrt-undiv` `flip3--` `flip--`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `cbrt-unprod`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `inv-pow`

Counts

3 → 277

Calls

3 calls:

38.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

26.0ms

(/ 1 (/ (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

13.0ms

(/ (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series401.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

155.0ms

(/ 1 (/ (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

142.0ms

(/ (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify1.6s

Counts

286 → 286

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	449	10075
1	978	9438
2	2217	8686
done	5000	8612

prune936.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	34
1	21	34
done	21	34

end0.0ms

sample6.9s

Algorithm

intervals

Results

4.0s	3323×	body	1280	valid
1.9s	2545×	body	640	valid
430.0ms	1258×	body	320	valid
169.0ms	8000×	pre	80	true
110.0ms	645×	body	160	valid
16.0ms	229×	body	80	valid