Details

sample60.0ms

Algorithm

intervals

Results

23.0ms	64×	body	640	valid
13.0ms	134×	body	80	valid
10.0ms	37×	body	320	valid
4.0ms	21×	body	160	valid

simplify36.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize42.0ms

Local error

Found 3 expressions with local error:

3.6b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
69×	`times-frac`
32×	`add-cube-cbrt`
27×	`distribute-lft-out--`
17×	`difference-of-squares`
11×	`associate-/r*` `add-exp-log`
10×	`distribute-lft-out`
7×	`add-cbrt-cube`
6×	`associate-/r/` `div-inv` `associate-/l*`
5×	`pow1` `add-log-exp`
4×	`difference-of-sqr-1` `div-exp`
3×	`insert-posit16` `flip--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip-+` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 128

Calls

3 calls:

Slowest

50.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
21.0ms	(/ 1 (+ x 1))
15.0ms	(/ 1 (- x 1))

series149.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

94.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
30.0ms	(/ 1 (+ x 1))
25.0ms	(/ 1 (- x 1))

simplify828.0ms

Counts: 137 → 137

prune937.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 4 expressions with local error:

17.7b	(- (/ 1 (+ x 1)) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ 1 (cbrt (- x 1)))))
0.3b	(* (cbrt (- x 1)) (cbrt (- x 1)))
0.3b	(cbrt (- x 1))
0.3b	(cbrt (- x 1))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
50×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
16×	`cbrt-div`
14×	`swap-sqr` `add-cube-cbrt` `difference-of-squares`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3--` `flip--`
8×	`pow1/3` `difference-of-sqr-1` `distribute-lft-out--`
6×	`add-exp-log` `add-log-exp`
5×	`frac-times`
4×	`add-cbrt-cube` `frac-sub` `insert-posit16` `unswap-sqr`
3×	`associate-l/` `associate-r/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `sub-neg` `pow-plus` `diff-log` `prod-exp` `un-div-inv` `*-commutative` `cbrt-unprod`

Counts

4 → 118

Calls

4 calls:

Slowest

52.0ms	(- (/ 1 (+ x 1)) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ 1 (cbrt (- x 1)))))
30.0ms	(* (cbrt (- x 1)) (cbrt (- x 1)))
3.0ms	(cbrt (- x 1))
3.0ms	(cbrt (- x 1))

series333.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

114.0ms	(- (/ 1 (+ x 1)) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ 1 (cbrt (- x 1)))))
92.0ms	(* (cbrt (- x 1)) (cbrt (- x 1)))
70.0ms	(cbrt (- x 1))
57.0ms	(cbrt (- x 1))

simplify2.1s

Counts: 130 → 130

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 3 expressions with local error:

3.6b	(+ (/ 1 (+ x 1)) (* (/ 1 (+ -1 x)) -1))
0.0b	(/ 1 (+ -1 x))
0.0b	(/ 1 (+ x 1))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`add-exp-log`
8×	`associate-/r*` `distribute-lft-out`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`pow1` `add-log-exp`
4×	`div-exp` `associate-/r/`
3×	`flip3-+` `flip-+` `insert-posit16`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `div-inv` `pow-flip` `inv-pow`
1×	`+-commutative` `sum-log` `associate-*l/` `frac-add`

Counts

3 → 89

Calls

3 calls:

Slowest

23.0ms	(+ (/ 1 (+ x 1)) (* (/ 1 (+ -1 x)) -1))
9.0ms	(/ 1 (+ x 1))
8.0ms	(/ 1 (+ -1 x))

series123.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

78.0ms	(+ (/ 1 (+ x 1)) (* (/ 1 (+ -1 x)) -1))
26.0ms	(/ 1 (+ -1 x))
19.0ms	(/ 1 (+ x 1))

simplify1.1s

Counts: 98 → 98

prune631.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-cbrt-cube` `add-exp-log`
22×	`times-frac`
16×	`cbrt-undiv` `div-exp` `associate-/l*`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod`
6×	`div-inv`
4×	`pow1` `clear-num` `associate-/r*` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

4 → 105

Calls

4 calls:

Slowest

30.0ms	(/ (/ 2 (* x x)) (* x x))
12.0ms	(/ 2 (* x x))
11.0ms	(/ 2 (* x x))
9.0ms	(/ 2 (* x x))

series190.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

76.0ms	(/ (/ 2 (* x x)) (* x x))
45.0ms	(/ 2 (* x x))
35.0ms	(/ 2 (* x x))
34.0ms	(/ 2 (* x x))

simplify1.6s

Counts: 117 → 117

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

98.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 14.3b

bsearch161.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

624.0ms	1902×	body	640	valid
377.0ms	4223×	body	80	valid
340.0ms	1278×	body	320	valid
107.0ms	597×	body	160	valid