Details

sample149.0ms

Algorithm

intervals

Results

95.0ms	118×	body	1280	valid
30.0ms	76×	body	640	valid
8.0ms	42×	body	320	valid
3.0ms	256×	pre	80	true
2.0ms	17×	body	160	valid
0.0ms	3×	body	80	valid

simplify14.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.1b	(log (+ 1.0 x))
5.2b	(log (- 1.0 x))

rewrite39.0ms

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:

28.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms	(log (+ 1.0 x))
4.0ms	(log (- 1.0 x))

series197.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
42.0ms	(log (+ 1.0 x))
41.0ms	(log (- 1.0 x))

simplify498.0ms

Counts: 78 → 78

prune177.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ (pow x 2) (pow 1.0 2)) 2)
0.0b	(/ (log (- 1.0 x)) (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))))
5.2b	(log (- 1.0 x))

rewrite515.0ms

Algorithm

rewrite-expression-head

Rules

484×	`times-frac`
234×	`*-un-lft-identity`
229×	`add-sqr-sqrt`
217×	`add-cube-cbrt`
192×	`unpow-prod-down`
72×	`associate-/l*`
64×	`unpow2` `sqr-pow`
29×	`add-exp-log`
20×	`div-exp`
16×	`pow1`
13×	`log-pow`
11×	`distribute-lft-out--`
10×	`add-cbrt-cube`
9×	`associate-/r*`
6×	`pow-to-exp` `pow-exp` `div-inv` `difference-of-squares`
5×	`log-prod`
4×	`cbrt-undiv` `log-div`
3×	`flip3--` `flip--` `add-log-exp`
2×	`frac-2neg` `div-sub` `clear-num` `associate-/r/`
1×	`rem-log-exp` `associate-/l/`

Counts

3 → 364

Calls

3 calls:

28.0ms	(/ (/ (pow x 2) (pow 1.0 2)) 2)
461.0ms	(/ (log (- 1.0 x)) (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))))
4.0ms	(log (- 1.0 x))

series223.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (/ (pow x 2) (pow 1.0 2)) 2)
125.0ms	(/ (log (- 1.0 x)) (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))))
46.0ms	(log (- 1.0 x))

simplify531.0ms

Counts: 373 → 373

prune815.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite601.0ms

Algorithm

rewrite-expression-head

Rules

651×	`times-frac`
405×	`add-sqr-sqrt`
317×	`*-un-lft-identity`
264×	`unpow-prod-down`
258×	`add-cube-cbrt`
130×	`add-exp-log`
104×	`unpow2` `sqr-pow`
76×	`div-exp`
74×	`associate-/l*`
68×	`associate-r`
51×	`unswap-sqr`
40×	`prod-exp`
30×	`pow-to-exp` `pow-exp`
28×	`distribute-lft-out--`
22×	`add-cbrt-cube`
19×	`pow1`
14×	`log-pow` `difference-of-squares`
13×	`associate-l`
10×	`rec-exp` `1-exp`
9×	`associate-/r*`
8×	`cbrt-undiv` `div-inv`
4×	`cbrt-unprod`
3×	`associate-/l/` `add-log-exp`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 551

Calls

3 calls:

48.0ms	(* (/ 1 2) (/ (pow x 2) (pow 1.0 2)))
28.0ms	(/ (/ (pow x 2) (pow 1.0 2)) 2)
493.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* (/ 1 2) (/ (pow x 2) (pow 1.0 2))))) (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))))

series223.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (/ 1 2) (/ (pow x 2) (pow 1.0 2)))
49.0ms	(/ (/ (pow x 2) (pow 1.0 2)) 2)
121.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* (/ 1 2) (/ (pow x 2) (pow 1.0 2))))) (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))))

simplify706.0ms

Counts: 560 → 560

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

2.2b	(log (- (* 1.0 1.0) (* x x)))
5.1b	(log (+ 1.0 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

8.0ms	(log (- (* 1.0 1.0) (* x x)))
4.0ms	(log (+ 1.0 x))

series152.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(log (- (* 1.0 1.0) (* x x)))
44.0ms	(log (+ 1.0 x))

simplify865.0ms

Counts: 36 → 36

prune82.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.1s

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.3s	3428×	body	1280	valid
1.0s	2507×	body	640	valid
242.0ms	1234×	body	320	valid
150.0ms	8000×	pre	80	true
69.0ms	618×	body	160	valid
10.0ms	213×	body	80	valid