Details

sample232.0ms

Algorithm

intervals

Results

116.0ms	120×	body	1280	valid
50.0ms	81×	body	640	valid
34.0ms	257×	body	80	nan
12.0ms	31×	body	320	valid
4.0ms	15×	body	160	valid
1.0ms	9×	body	80	valid

simplify229.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize13.0ms

Local error

Found 2 expressions with local error:

3.8b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite29.0ms

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×	`flip3--` `div-exp` `rem-log-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 93

Calls

2 calls:

Slowest

21.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

103.0ms	(log (/ (+ x 1) (- 1 x)))
30.0ms	(/ (+ x 1) (- 1 x))

simplify1.3s

Counts: 99 → 99

prune886.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) 2/3)
0.1b	(* 2/5 (pow x 5))
0.0b	(* x (+ (* (* x x) 2/3) 2))
0.0b	(+ (* 2/5 (pow x 5)) (* x (+ (* (* x x) 2/3) 2)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
11×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16`
3×	`*-commutative`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-exp`

Counts

4 → 83

Calls

4 calls:

Slowest

90.0ms	(* x (+ (* (* x x) 2/3) 2))
32.0ms	(* (* x x) 2/3)
19.0ms	(+ (* 2/5 (pow x 5)) (* x (+ (* (* x x) 2/3) 2)))
15.0ms	(* 2/5 (pow x 5))

series328.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(* x (+ (* (* x x) 2/3) 2))
80.0ms	(+ (* 2/5 (pow x 5)) (* x (+ (* (* x x) 2/3) 2)))
75.0ms	(* 2/5 (pow x 5))
51.0ms	(* (* x x) 2/3)

simplify3.3s

Counts: 95 → 95

prune853.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x 2/3)
0.1b	(* (* x x) (* x 2/3))
0.1b	(* (* x x) (* x x))
0.1b	(* x (* (* x x) (* x x)))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

225×	`pow1`
86×	`pow-prod-up`
48×	`add-cbrt-cube` `add-exp-log`
45×	`pow-prod-down`
38×	`pow-sqr`
30×	`pow-plus` `prod-exp` `cbrt-unprod`
23×	`pow2`
10×	`add-sqr-sqrt`
8×	`associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
1×	`swap-sqr`

Counts

4 → 157

Calls

4 calls:

Slowest

90.0ms	(* x (* (* x x) (* x x)))
43.0ms	(* (* x x) (* x x))
42.0ms	(* (* x x) (* x 2/3))
17.0ms	(* x 2/3)

series228.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

90.0ms	(* x (* (* x x) (* x x)))
65.0ms	(* (* x x) (* x x))
54.0ms	(* (* x x) (* x 2/3))
20.0ms	(* x 2/3)

simplify1.3s

Counts: 169 → 169

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

3.9b	(log (/ (sqrt (+ x 1)) 1))
3.8b	(log (/ (sqrt (+ x 1)) (- 1 x)))
0.0b	(/ (sqrt (+ x 1)) (- 1 x))
0.0b	(sqrt (+ x 1))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

140×	`*-un-lft-identity`
107×	`add-sqr-sqrt`
105×	`times-frac`
73×	`log-prod`
68×	`sqrt-prod`
61×	`add-cube-cbrt`
30×	`difference-of-squares`
17×	`distribute-lft-out`
15×	`distribute-lft-out--`
13×	`add-exp-log`
7×	`pow1` `associate-/l*`
6×	`associate-/r*` `add-cbrt-cube`
5×	`rem-log-exp`
4×	`sqrt-div` `div-exp` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`div-inv`
2×	`log-div` `flip3-+` `flip3--` `log-pow` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `1-exp`

Counts

4 → 187

Calls

4 calls:

Slowest

34.0ms	(/ (sqrt (+ x 1)) (- 1 x))
13.0ms	(log (/ (sqrt (+ x 1)) (- 1 x)))
9.0ms	(sqrt (+ x 1))
8.0ms	(log (/ (sqrt (+ x 1)) 1))

series395.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

170.0ms	(log (/ (sqrt (+ x 1)) (- 1 x)))
112.0ms	(log (/ (sqrt (+ x 1)) 1))
77.0ms	(/ (sqrt (+ x 1)) (- 1 x))
36.0ms	(sqrt (+ x 1))

simplify1.2s

Counts: 199 → 199

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.8s	3429×	body	1280	valid
1.7s	2523×	body	640	valid
918.0ms	1255×	body	320	valid
845.0ms	7913×	body	80	nan
242.0ms	586×	body	160	valid
23.0ms	207×	body	80	valid