Details

sample35.0ms

Algorithm

intervals

Results

13.0ms	63×	body	640	valid
7.0ms	142×	body	80	valid
4.0ms	25×	body	320	valid
3.0ms	26×	body	160	valid

simplify40.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	33
3	33
2	31
1	23
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
4.2b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 71

Calls

2 calls:

16.0ms	(/ 1 (+ x 1))
59.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series440.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/ 1 (+ x 1))
425.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify1.0s

Counts

77 → 77

Iterations

Iter	Nodes
4	2346
3	1352
2	845
1	468
0	124

prune453.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* x x))
0.4b	(/ -1 (+ x (* x x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-/r*` `distribute-rgt-out` `distribute-rgt1-in`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

9.0ms	(+ x (* x x))
12.0ms	(/ -1 (+ x (* x x)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ x (* x x))
23.0ms	(/ -1 (+ x (* x x)))

simplify1.5s

Counts

58 → 58

Iterations

Iter	Nodes
4	3598
3	1490
2	770
1	365
0	95

prune430.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -1 (+ x 1))
0.1b	(/ (/ -1 (+ x 1)) x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 125

Calls

2 calls:

7.0ms	(/ -1 (+ x 1))
21.0ms	(/ (/ -1 (+ x 1)) x)

series54.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ -1 (+ x 1))
30.0ms	(/ (/ -1 (+ x 1)) x)

simplify1.1s

Counts

131 → 131

Iterations

Iter	Nodes
3	3101
2	1571
1	780
0	199

prune805.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ (cbrt -1) (cbrt (+ x (* x x)))) (/ (cbrt -1) (cbrt (+ x (* x x)))))
14.3b	(cbrt (+ x (* x x)))
14.3b	(cbrt (+ x (* x x)))
14.3b	(cbrt (+ x (* x x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

271×	`cbrt-prod`
232×	`times-frac`
213×	`add-sqr-sqrt`
150×	`*-un-lft-identity`
123×	`add-cube-cbrt`
54×	`swap-sqr` `associate-r` `associate-l`
27×	`distribute-rgt-out` `distribute-rgt1-in`
25×	`unswap-sqr`
16×	`add-exp-log`
14×	`cbrt-div`
11×	`pow1`
8×	`add-cbrt-cube` `associate-/r/`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp`
3×	`pow1/3`
1×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 260

Calls

4 calls:

30.0ms	(* (/ (cbrt -1) (cbrt (+ x (* x x)))) (/ (cbrt -1) (cbrt (+ x (* x x)))))
4.0ms	(cbrt (+ x (* x x)))
4.0ms	(cbrt (+ x (* x x)))
4.0ms	(cbrt (+ x (* x x)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (/ (cbrt -1) (cbrt (+ x (* x x)))) (/ (cbrt -1) (cbrt (+ x (* x x)))))
48.0ms	(cbrt (+ x (* x x)))
36.0ms	(cbrt (+ x (* x x)))
70.0ms	(cbrt (+ x (* x x)))

simplify2.4s

Counts

272 → 272

Iterations

Iter	Nodes
2	5142
1	1971
0	371

prune2.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	9
1	9
0	6

end0.0ms

sample1.5s

Algorithm

intervals

Results

536.0ms	1893×	body	640	valid
379.0ms	4268×	body	80	valid
328.0ms	1265×	body	320	valid
97.0ms	575×	body	160	valid