Details

sample226.0ms

Algorithm

intervals

Results

112.0ms	107×	body	1280	valid
47.0ms	78×	body	640	valid
25.0ms	250×	body	80	nan
20.0ms	49×	body	320	valid
3.0ms	14×	body	160	valid
1.0ms	8×	body	80	valid

simplify248.0ms

Counts

1 → 1

Iterations

Iter	Nodes
10	191
9	191
8	189
7	182
6	155
5	128
4	85
3	57
2	25
1	19
0	9

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
5.6b	(log (/ (+ x 1) (- 1 x)))

rewrite57.0ms

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:

41.0ms	(/ (+ x 1) (- 1 x))
13.0ms	(log (/ (+ x 1) (- 1 x)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (+ x 1) (- 1 x))
82.0ms	(log (/ (+ x 1) (- 1 x)))

simplify1.1s

Counts

99 → 99

Iterations

Iter	Nodes
3	2218
2	864
1	354
0	162

prune903.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* (* x 2/3) x) 2))
0.1b	(* (* x 2/3) x)
0.1b	(* 2/5 (pow x 5))
0.3b	(* x 2/3)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

65.0ms	(* x (+ (* (* x 2/3) x) 2))
15.0ms	(* (* x 2/3) x)
8.0ms	(* 2/5 (pow x 5))
10.0ms	(* x 2/3)

series284.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* x (+ (* (* x 2/3) x) 2))
38.0ms	(* (* x 2/3) x)
92.0ms	(* 2/5 (pow x 5))
29.0ms	(* x 2/3)

simplify2.0s

Counts

99 → 99

Iterations

Iter	Nodes
3	3584
2	953
1	332
0	134

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* (* x 2/3) x))
0.1b	(* (* x 2/3) x)
0.1b	(* 2/5 (pow x 5))
0.3b	(* x 2/3)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
14×	`associate-r`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`associate-l` `pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 86

Calls

4 calls:

57.0ms	(* x (* (* x 2/3) x))
14.0ms	(* (* x 2/3) x)
9.0ms	(* 2/5 (pow x 5))
9.0ms	(* x 2/3)

series177.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* x (* (* x 2/3) x))
38.0ms	(* (* x 2/3) x)
63.0ms	(* 2/5 (pow x 5))
21.0ms	(* x 2/3)

simplify1.6s

Counts

98 → 98

Iterations

Iter	Nodes
3	2821
2	782
1	273
0	117

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (+ x 1)) (sqrt (- 1 x)))
0.0b	(/ (sqrt (+ x 1)) (sqrt (- 1 x)))
0.0b	(* (/ (sqrt (+ x 1)) (sqrt (- 1 x))) (/ (sqrt (+ x 1)) (sqrt (- 1 x))))
5.6b	(log (* (/ (sqrt (+ x 1)) (sqrt (- 1 x))) (/ (sqrt (+ x 1)) (sqrt (- 1 x)))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

752×	`sqrt-prod`
668×	`*-un-lft-identity`
582×	`add-sqr-sqrt`
578×	`times-frac`
240×	`add-cube-cbrt`
149×	`swap-sqr`
104×	`difference-of-squares`
90×	`distribute-lft-out`
74×	`distribute-lft-out--`
69×	`associate-r` `associate-l`
33×	`add-exp-log`
25×	`unswap-sqr`
20×	`add-cbrt-cube`
19×	`pow1`
18×	`associate-/r*`
16×	`sqrt-div`
14×	`associate-/l*`
12×	`associate-/r/`
10×	`div-exp`
8×	`prod-exp`
6×	`cbrt-undiv` `sqrt-undiv` `flip3--` `log-pow` `div-inv` `flip--`
5×	`rem-log-exp`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp` `associate-/l/`
3×	`log-div`
2×	`pow2` `frac-times` `clear-num` `frac-2neg` `flip3-+` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `flip-+`
1×	`log-prod` `rem-square-sqrt` `sqrt-unprod` `*-commutative`

Counts

4 → 556

Calls

4 calls:

15.0ms	(/ (sqrt (+ x 1)) (sqrt (- 1 x)))
15.0ms	(/ (sqrt (+ x 1)) (sqrt (- 1 x)))
89.0ms	(* (/ (sqrt (+ x 1)) (sqrt (- 1 x))) (/ (sqrt (+ x 1)) (sqrt (- 1 x))))
37.0ms	(log (* (/ (sqrt (+ x 1)) (sqrt (- 1 x))) (/ (sqrt (+ x 1)) (sqrt (- 1 x)))))

series660.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (sqrt (+ x 1)) (sqrt (- 1 x)))
45.0ms	(/ (sqrt (+ x 1)) (sqrt (- 1 x)))
40.0ms	(* (/ (sqrt (+ x 1)) (sqrt (- 1 x))) (/ (sqrt (+ x 1)) (sqrt (- 1 x))))
502.0ms	(log (* (/ (sqrt (+ x 1)) (sqrt (- 1 x))) (/ (sqrt (+ x 1)) (sqrt (- 1 x)))))

simplify4.0s

Counts

568 → 568

Iterations

Iter	Nodes
2	3614
1	1106
0	349

prune4.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	23
1	23
0	15

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.6s	3349×	body	1280	valid
1.8s	2510×	body	640	valid
1.3s	7863×	body	80	nan
604.0ms	1323×	body	320	valid
212.0ms	623×	body	160	valid
27.0ms	195×	body	80	valid