Details

sample264.0ms

Algorithm

intervals

Results

146.0ms	102×	body	1280	valid
67.0ms	84×	body	640	valid
18.0ms	44×	body	320	valid
10.0ms	256×	pre	80	true
9.0ms	17×	body	160	valid
1.0ms	9×	body	80	valid

simplify17.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize14.0ms

Local error

Found 3 expressions with local error:

5.5b	(log (+ 1 x))
5.3b	(log (- 1 x))
0.0b	(/ (log (- 1 x)) (log (+ 1 x)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
10×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`insert-posit16` `add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 73

Calls

3 calls:

Slowest

26.0ms	(log (- 1 x))
26.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
4.0ms	(log (+ 1 x))

series149.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

90.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
33.0ms	(log (+ 1 x))
26.0ms	(log (- 1 x))

simplify504.0ms

Counts: 113 → 82

prune667.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune16.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (- 1 x))
5.3b	(log (- 1 x))
3.0b	(log (- 1 (* x x)))
0.0b	(/ (log (- 1 x)) (- (log (- 1 (* x x))) (log (- 1 x))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`pow1`
32×	`times-frac` `log-pow`
22×	`distribute-lft-out--`
21×	`add-cube-cbrt`
17×	`log-prod`
11×	`difference-of-squares`
9×	`add-exp-log`
8×	`log-div` `associate-/r*`
6×	`add-cbrt-cube`
5×	`flip3--` `flip--`
4×	`insert-posit16` `associate-/l*` `add-log-exp`
3×	`rem-log-exp`
2×	`div-sub` `associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 114

Calls

4 calls:

Slowest

20.0ms	(/ (log (- 1 x)) (- (log (- 1 (* x x))) (log (- 1 x))))
9.0ms	(log (- 1 x))
3.0ms	(log (- 1 x))
3.0ms	(log (- 1 (* x x)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(/ (log (- 1 x)) (- (log (- 1 (* x x))) (log (- 1 x))))
136.0ms	(log (- 1 (* x x)))
37.0ms	(log (- 1 x))
36.0ms	(log (- 1 x))

simplify767.0ms

Counts: 181 → 126

prune606.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

28.7b	(/ (log (- 1 x)) (- (- (+ (* (* x x) (* (* (* x x) (* x x)) 1/3)) (+ (* 1/2 (* (* x x) (* x x))) (* x x)))) (log (- 1 x))))
5.3b	(log (- 1 x))
5.3b	(log (- 1 x))
0.1b	(* (* x x) (* x x))

rewrite5.4s

Algorithm

rewrite-expression-head

Rules

136×	`pow1`
56×	`*-un-lft-identity`
36×	`add-sqr-sqrt` `pow-prod-up`
32×	`times-frac`
23×	`pow-prod-down`
22×	`pow-sqr` `distribute-lft-out--`
21×	`log-pow`
20×	`add-exp-log` `add-cube-cbrt`
18×	`pow-plus` `add-cbrt-cube`
13×	`pow2`
12×	`log-prod`
10×	`distribute-rgt-neg-in`
9×	`difference-of-squares`
8×	`associate-/r*` `prod-exp` `cbrt-unprod`
6×	`log-div`
4×	`flip3--` `insert-posit16` `flip--` `associate-/l*` `add-log-exp`
2×	`div-sub` `rem-log-exp` `associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 161

Calls

4 calls:

Slowest

5.3s	(/ (log (- 1 x)) (- (- (+ (* (* x x) (* (* (* x x) (* x x)) 1/3)) (+ (* 1/2 (* (* x x) (* x x))) (* x x)))) (log (- 1 x))))
27.0ms	(* (* x x) (* x x))
4.0ms	(log (- 1 x))
3.0ms	(log (- 1 x))

series199.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

97.0ms	(/ (log (- 1 x)) (- (- (+ (* (* x x) (* (* (* x x) (* x x)) 1/3)) (+ (* 1/2 (* (* x x) (* x x))) (* x x)))) (log (- 1 x))))
42.0ms	(* (* x x) (* x x))
35.0ms	(log (- 1 x))
25.0ms	(log (- 1 x))

simplify1.2s

Counts: 222 → 173

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes26.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch5.0ms

end0.0ms

sample8.4s

Algorithm

intervals

Results

5.1s	3420×	body	1280	valid
2.0s	2542×	body	640	valid
585.0ms	1233×	body	320	valid
369.0ms	8000×	pre	80	true
148.0ms	602×	body	160	valid
23.0ms	203×	body	80	valid