Details

sample258.0ms

Algorithm

intervals

Results

131.0ms	111×	body	1280	valid
60.0ms	85×	body	640	valid
29.0ms	241×	body	80	nan
16.0ms	33×	body	320	valid
5.0ms	19×	body	160	valid
1.0ms	8×	body	80	valid

simplify253.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize23.0ms

Local error

Found 2 expressions with local error:

5.3b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 97

Calls

2 calls:

Slowest

30.0ms	(/ (+ x 1) (- 1 x))
11.0ms	(log (/ (+ x 1) (- 1 x)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

113.0ms	(log (/ (+ x 1) (- 1 x)))
47.0ms	(/ (+ x 1) (- 1 x))

simplify494.0ms

Counts: 157 → 103

prune726.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
13×	`add-sqr-sqrt` `add-exp-log`
10×	`add-cbrt-cube`
8×	`associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `associate-r` `prod-exp` `pow-prod-up`
4×	`unpow-prod-down` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-sqr` `*-commutative` `sqr-pow`
1×	`pow-to-exp` `pow3` `pow-exp` `fma-udef`

Counts

3 → 70

Calls

3 calls:

Slowest

30.0ms	(* (* x x) x)
16.0ms	(* (pow x 5) 2/5)
0.0ms	(fma 2/3 (* (* x x) x) (* (pow x 5) 2/5))

series323.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

202.0ms	(fma 2/3 (* (* x x) x) (* (pow x 5) 2/5))
77.0ms	(* (pow x 5) 2/5)
43.0ms	(* (* x x) x)

simplify790.0ms

Counts: 80 → 79

prune795.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

5.4b	(log (/ 1 (- 1 x)))
0.0b	(+ (log1p x) (log (/ 1 (- 1 x))))
0.0b	(/ 1 (- 1 x))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
65×	`add-sqr-sqrt`
54×	`times-frac`
48×	`log-prod`
35×	`add-cube-cbrt`
24×	`associate-+r+`
20×	`difference-of-squares`
12×	`add-exp-log`
10×	`distribute-lft-out--`
7×	`pow1`
6×	`associate-/r*` `associate-/r/`
5×	`add-cbrt-cube`
4×	`div-exp` `rem-log-exp` `log-pow` `add-log-exp`
3×	`expm1-log1p-u` `fma-def` `flip3--` `log-rec` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `associate-/l*`
2×	`log-div` `rec-exp` `sum-log` `1-exp` `pow-flip` `distribute-lft-out` `inv-pow`
1×	`cbrt-undiv` `+-commutative` `log1p-udef` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `unsub-neg` `flip-+`

Counts

3 → 138

Calls

3 calls:

Slowest

18.0ms	(+ (log1p x) (log (/ 1 (- 1 x))))
18.0ms	(/ 1 (- 1 x))
9.0ms	(log (/ 1 (- 1 x)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

181.0ms	(+ (log1p x) (log (/ 1 (- 1 x))))
49.0ms	(log (/ 1 (- 1 x)))
25.0ms	(/ 1 (- 1 x))

simplify572.0ms

Counts: 182 → 147

prune998.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.5s	3430×	body	1280	valid
2.5s	2543×	body	640	valid
884.0ms	8062×	body	80	nan
475.0ms	1222×	body	320	valid
150.0ms	608×	body	160	valid
24.0ms	197×	body	80	valid