Details

sample245.0ms

Algorithm

intervals

Results

146.0ms	104×	body	1280	valid
59.0ms	92×	body	640	valid
14.0ms	41×	body	320	valid
5.0ms	256×	pre	80	true
3.0ms	17×	body	160	valid
0.0ms	2×	body	80	valid

simplify3.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.6b	(log (- 1.0 x))
5.6b	(log (+ 1.0 x))

rewrite50.0ms

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:

26.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
10.0ms	(log (- 1.0 x))
11.0ms	(log (+ 1.0 x))

series295.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
63.0ms	(log (- 1.0 x))
74.0ms	(log (+ 1.0 x))

simplify34.0ms

Counts: 78 → 78

prune273.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 60.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.6b	(log (- 1.0 x))

rewrite158.0ms

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:

80.0ms	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
62.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.0ms	(log (- 1.0 x))

series343.0ms

Counts

3 → 9

Calls

3 calls:

213.0ms	(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
82.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
48.0ms	(log (- 1.0 x))

simplify105.0ms

Counts: 172 → 172

prune687.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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)))))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite275.0ms

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:

147.0ms	(/ (- (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)))))
64.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
49.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series291.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(/ (- (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)))))
64.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
76.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify83.0ms

Counts: 275 → 275

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 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)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

160×	`times-frac`
138×	`add-sqr-sqrt`
136×	`associate-r`
112×	`unpow-prod-down`
70×	`add-cube-cbrt` `*-un-lft-identity`
48×	`add-exp-log` `unpow2` `sqr-pow`
34×	`unswap-sqr`
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 → 220

Calls

2 calls:

55.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
47.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series144.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
73.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify35.0ms

Counts: 226 → 226

prune878.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes18.0ms

Accuracy

0.6% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify48.0ms

end0.0ms

sample6.8s

Algorithm

intervals

Results

4.1s	3406×	body	1280	valid
1.8s	2540×	body	640	valid
345.0ms	1220×	body	320	valid
176.0ms	8000×	pre	80	true
101.0ms	601×	body	160	valid
17.0ms	233×	body	80	valid