Details

sample134.0ms

Algorithm

intervals

Results

68.0ms	98×	body	1280	valid
31.0ms	92×	body	640	valid
9.0ms	229×	body	80	nan
6.0ms	33×	body	320	valid
3.0ms	27×	body	160	valid
0.0ms	6×	body	80	valid

simplify6.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.4b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite39.0ms

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×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

25.0ms	(/ (+ 1.0 x) (- 1.0 x))
10.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series173.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ 1.0 x) (- 1.0 x))
140.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify53.0ms

Counts: 88 → 88

prune224.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(+ (pow x 2) x)
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
72×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
41×	`*-un-lft-identity`
38×	`add-cube-cbrt`
26×	`add-exp-log` `unpow2`
24×	`sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp` `add-log-exp`
8×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
5×	`pow1` `associate-+r+` `associate-*r/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`log-prod` `associate-l` `associate--l+` `sum-log`
2×	`+-commutative` `associate-+l+` `flip3--` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+r-` `sub-neg` `distribute-rgt-out` `distribute-lft-in` `distribute-lft1-in` `diff-log` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out`

Counts

3 → 148

Calls

3 calls:

32.0ms	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
13.0ms	(+ (pow x 2) x)
78.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series517.0ms

Counts

3 → 9

Calls

3 calls:

399.0ms	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
61.0ms	(+ (pow x 2) x)
57.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify60.0ms

Counts: 157 → 157

prune561.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
7.4b	(log (- 1.0 x))
7.4b	(log (+ 1.0 x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`log-prod`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`add-exp-log` `associate--r+`
4×	`associate--l+`
3×	`flip3--` `add-cbrt-cube` `flip--` `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 → 61

Calls

3 calls:

16.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
11.0ms	(log (- 1.0 x))
5.0ms	(log (+ 1.0 x))

series406.0ms

Counts

3 → 9

Calls

3 calls:

309.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
51.0ms	(log (- 1.0 x))
45.0ms	(log (+ 1.0 x))

simplify45.0ms

Counts: 70 → 70

prune169.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
201×	`associate-r`
171×	`add-sqr-sqrt`
128×	`unpow-prod-down`
106×	`add-cube-cbrt` `*-un-lft-identity`
80×	`cube-prod`
52×	`sqr-pow`
48×	`add-exp-log`
27×	`unswap-sqr`
24×	`cube-mult` `unpow3`
20×	`prod-exp`
18×	`div-exp`
12×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
6×	`pow1` `associate-l`
4×	`cbrt-unprod`
2×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

2 → 278

Calls

2 calls:

54.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
65.0ms	(* 2/3 (/ (pow x 3) (pow 1.0 3)))

series291.0ms

Counts

2 → 6

Calls

2 calls:

180.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
111.0ms	(* 2/3 (/ (pow x 3) (pow 1.0 3)))

simplify97.0ms

Counts: 284 → 284

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify24.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.4s	3406×	body	1280	valid
1.1s	2448×	body	640	valid
995.0ms	7970×	body	80	nan
287.0ms	1249×	body	320	valid
96.0ms	677×	body	160	valid
14.0ms	220×	body	80	valid