Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	256×	pre	80	true

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (2.5s)

Iter	Nodes	Cost
0	10	25
1	32	25
2	168	23
3	894	19
4	3353	15
done	5000	15

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))
0.7b	(/ 1.0 (* i i))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
16×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1` `div-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
5×	`cbrt-undiv`
4×	`cbrt-unprod`
3×	`rec-exp` `pow-flip` `1-exp` `pow-prod-down`
2×	`expm1-log1p-u` `frac-2neg` `associate-l/` `clear-num` `associate-/r` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`flip3--` `flip--` `inv-pow`

Counts

2 → 60

Calls

2 calls:

57.0ms	(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))
12.0ms	(/ 1.0 (* i i))

series74.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))
24.0ms	(/ 1.0 (* i i))

simplify1.9s

Counts

66 → 66

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	136	944
1	320	853
2	931	732
3	3820	730
done	5000	730

prune93.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (* 2.0 2.0))
0.2b	(/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))
0.7b	(/ 1.0 (* i i))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

79×	`times-frac`
53×	`add-sqr-sqrt`
34×	`add-exp-log`
33×	`add-cube-cbrt` `*-un-lft-identity`
27×	`associate-/l*`
22×	`add-cbrt-cube`
20×	`difference-of-squares`
16×	`div-exp`
9×	`cbrt-undiv`
7×	`associate-/r*`
6×	`associate-/r/`
5×	`prod-exp` `div-inv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 134

Calls

3 calls:

50.0ms	(/ (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (* 2.0 2.0))
27.0ms	(/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))
8.0ms	(/ 1.0 (* i i))

series129.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (* 2.0 2.0))
48.0ms	(/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))
28.0ms	(/ 1.0 (* i i))

simplify2.0s

Counts

143 → 143

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	242	2565
1	548	2353
2	1319	2112
3	4050	2103
done	5000	2103

prune221.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (/ (sqrt 1.0) i))
0.0b	(* (/ (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) 2.0) (/ (/ 1 (- 2.0 (/ (sqrt 1.0) i))) 2.0))
0.1b	(/ 1 (+ 2.0 (/ (sqrt 1.0) i)))
0.1b	(/ 1 (- 2.0 (/ (sqrt 1.0) i)))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

389×	`times-frac`
367×	`add-sqr-sqrt`
253×	`*-un-lft-identity`
191×	`add-cube-cbrt`
112×	`add-exp-log`
85×	`associate-r`
66×	`prod-diff`
64×	`div-exp`
58×	`associate-l`
44×	`add-cbrt-cube`
42×	`difference-of-squares`
41×	`sqrt-prod`
25×	`prod-exp`
20×	`cbrt-undiv`
16×	`associate-/r/` `unswap-sqr`
14×	`distribute-lft-out--`
13×	`div-inv` `distribute-lft-out`
12×	`rec-exp` `1-exp`
11×	`associate-/r*`
9×	`cbrt-unprod`
8×	`pow1`
6×	`associate-/l*` `add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`fma-neg`
2×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`
1×	`frac-times` `sub-neg` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 384

Calls

4 calls:

18.0ms	(- 2.0 (/ (sqrt 1.0) i))
206.0ms	(* (/ (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) 2.0) (/ (/ 1 (- 2.0 (/ (sqrt 1.0) i))) 2.0))
29.0ms	(/ 1 (+ 2.0 (/ (sqrt 1.0) i)))
27.0ms	(/ 1 (- 2.0 (/ (sqrt 1.0) i)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 2.0 (/ (sqrt 1.0) i))
158.0ms	(* (/ (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) 2.0) (/ (/ 1 (- 2.0 (/ (sqrt 1.0) i))) 2.0))
63.0ms	(/ 1 (+ 2.0 (/ (sqrt 1.0) i)))
73.0ms	(/ 1 (- 2.0 (/ (sqrt 1.0) i)))

simplify1.9s

Counts

396 → 396

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	637	10548
1	1834	9417
2	4981	7515
done	5000	7512

prune673.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt 1.0) (sqrt i))
0.3b	(/ 1 (sqrt i))
0.3b	(/ -1 (sqrt i))
0.3b	(/ (/ (sqrt 1.0) (sqrt i)) (sqrt i))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

564×	`times-frac`
441×	`sqrt-prod`
319×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
52×	`associate-/l*`
24×	`associate-/r*`
17×	`add-exp-log`
15×	`add-cbrt-cube`
11×	`div-inv`
7×	`div-exp`
6×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-undiv` `pow-flip`
1×	`rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `associate-/l/` `inv-pow`

Counts

4 → 455

Calls

4 calls:

8.0ms	(/ (sqrt 1.0) (sqrt i))
7.0ms	(/ 1 (sqrt i))
6.0ms	(/ -1 (sqrt i))
23.0ms	(/ (/ (sqrt 1.0) (sqrt i)) (sqrt i))

series188.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (sqrt 1.0) (sqrt i))
26.0ms	(/ 1 (sqrt i))
43.0ms	(/ -1 (sqrt i))
51.0ms	(/ (/ (sqrt 1.0) (sqrt i)) (sqrt i))

simplify1.5s

Counts

467 → 467

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	476	7752
1	995	6540
2	1962	6120
done	5000	5997

prune891.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	14	23
1	19	21
done	19	21

end0.0ms

sample400.0ms

Algorithm

intervals

Results

215.0ms	8000×	body	80	valid
61.0ms	8000×	pre	80	true