Details

sample164.0ms

Algorithm

intervals

Results

97.0ms	99×	body	1280	valid
39.0ms	85×	body	640	valid
9.0ms	38×	body	320	valid
4.0ms	256×	pre	80	true
3.0ms	25×	body	160	valid
0.0ms	9×	body	80	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
8.0b	(log (+ 1.0 x))
8.0b	(log (- 1.0 x))

rewrite28.0ms

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:

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

series348.0ms

Counts

3 → 9

Calls

3 calls:

223.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
64.0ms	(log (+ 1.0 x))
61.0ms	(log (- 1.0 x))

simplify40.0ms

Counts: 78 → 78

prune329.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.2b

localize31.0ms

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)))))
8.0b	(log (- 1.0 x))

rewrite182.0ms

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:

50.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
113.0ms	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
10.0ms	(log (- 1.0 x))

series333.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
200.0ms	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
48.0ms	(log (- 1.0 x))

simplify106.0ms

Counts: 172 → 172

prune848.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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)))
0.1b	(/ (- (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)))))

rewrite246.0ms

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:

41.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
49.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
128.0ms	(/ (- (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)))))

series326.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
85.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
164.0ms	(/ (- (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)))))

simplify70.0ms

Counts: 275 → 275

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

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	(* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
26.7b	(/ (- (* (log 1.0) (log 1.0)) (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 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)))) (+ (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

164×	`times-frac`
148×	`add-sqr-sqrt`
139×	`associate-r`
112×	`unpow-prod-down`
78×	`add-cube-cbrt` `*-un-lft-identity`
57×	`add-exp-log`
48×	`unpow2` `sqr-pow`
35×	`unswap-sqr`
22×	`prod-exp`
21×	`add-cbrt-cube`
20×	`div-exp`
15×	`pow1`
14×	`flip3-+` `associate-/r/` `flip-+`
12×	`frac-times` `pow-to-exp` `associate-*r/` `pow-exp`
9×	`associate-l`
6×	`associate-*l/` `frac-sub` `cbrt-unprod`
4×	`cbrt-undiv` `flip3--` `flip--` `associate-/l*` `add-log-exp`
3×	`swap-sqr` `pow-prod-down` `*-commutative` `div-inv`
2×	`associate-/l/` `difference-of-squares`
1×	`pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-plus` `div-sub` `clear-num` `associate-/r*` `pow-sqr` `pow-prod-up`

Counts

4 → 295

Calls

4 calls:

37.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
36.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
40.0ms	(* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
93.0ms	(/ (- (* (log 1.0) (log 1.0)) (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 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)))) (+ (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

series393.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
58.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
44.0ms	(* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
218.0ms	(/ (- (* (log 1.0) (log 1.0)) (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 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)))) (+ (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

simplify69.0ms

Counts: 307 → 307

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes94.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify52.0ms

end0.0ms

sample6.5s

Algorithm

intervals

Results

4.2s	3432×	body	1280	valid
1.4s	2508×	body	640	valid
315.0ms	1191×	body	320	valid
129.0ms	8000×	pre	80	true
99.0ms	655×	body	160	valid
14.0ms	214×	body	80	valid