Details

sample55.0ms

Algorithm

intervals

Results

13.0ms	303×	body	80	nan
11.0ms	50×	body	1280	valid
6.0ms	36×	body	640	valid
6.0ms	135×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	16×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ x 1.0))
4.8b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-log-exp` `difference-of-squares`
3×	`pow1` `add-cube-cbrt` `distribute-lft-out--`
2×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `distribute-lft-out`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `diff-log` `flip-+` `flip--`

Counts

2 → 37

Calls

2 calls:

4.0ms	(sqrt (+ x 1.0))
39.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series143.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(sqrt (+ x 1.0))
97.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.4s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	1569
2	532
1	195
0	88

prune189.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 27.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(+ (sqrt (+ x 1.0)) (sqrt x))
0.1b	(/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
4.1b	(+ x (- 1.0 x))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

109×	`*-un-lft-identity`
45×	`distribute-lft-out`
32×	`sqrt-prod`
30×	`times-frac`
19×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
11×	`add-log-exp`
8×	`distribute-lft-out--`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
5×	`pow1` `flip3-+` `flip-+` `associate-/l*`
4×	`insert-posit16`
3×	`sum-log`
2×	`+-commutative` `associate-+r+` `associate-+r-` `sqrt-div` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 109

Calls

4 calls:

4.0ms	(sqrt (+ x 1.0))
21.0ms	(+ (sqrt (+ x 1.0)) (sqrt x))
68.0ms	(/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
10.0ms	(+ x (- 1.0 x))

series283.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (+ x 1.0))
89.0ms	(+ (sqrt (+ x 1.0)) (sqrt x))
160.0ms	(/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
2.0ms	(+ x (- 1.0 x))

simplify1.3s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	1480
1	446
0	183

prune435.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(+ (sqrt (+ x 1.0)) (sqrt x))
0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
24×	`sqrt-prod`
21×	`distribute-lft-out`
18×	`times-frac`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
6×	`associate-/r*`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1`
3×	`flip3-+` `flip-+` `insert-posit16` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

3 → 74

Calls

3 calls:

9.0ms	(sqrt (+ x 1.0))
19.0ms	(+ (sqrt (+ x 1.0)) (sqrt x))
31.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

series309.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(sqrt (+ x 1.0))
74.0ms	(+ (sqrt (+ x 1.0)) (sqrt x))
186.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

simplify2.2s

Counts

83 → 83

Iterations

Iter	Nodes
done	5012
3	3786
2	1149
1	374
0	159

prune320.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

42.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
2.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))

series447.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
106.0ms	(cbrt (+ x 1.0))
110.0ms	(cbrt (+ x 1.0))
111.0ms	(cbrt (+ x 1.0))

simplify2.0s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	1955
2	782
1	331
0	141

prune631.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample2.0s

Algorithm

intervals

Results

909.0ms	8149×	body	80	nan
358.0ms	1657×	body	1280	valid
236.0ms	1271×	body	640	valid
166.0ms	4137×	body	80	valid
101.0ms	624×	body	320	valid
23.0ms	311×	body	160	valid