Details

sample201.0ms

Algorithm

intervals

Results

98.0ms	111×	body	1280	valid
44.0ms	83×	body	640	valid
29.0ms	284×	body	80	nan
11.0ms	32×	body	320	valid
4.0ms	20×	body	160	valid
1.0ms	10×	body	80	valid

simplify193.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	201
8	201
7	198
6	165
5	150
4	100
3	59
2	27
1	21
0	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
5.5b	(log (/ (+ x 1) (- 1 x)))

rewrite56.0ms

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:

40.0ms	(/ (+ x 1) (- 1 x))
12.0ms	(log (/ (+ x 1) (- 1 x)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (+ x 1) (- 1 x))
126.0ms	(log (/ (+ x 1) (- 1 x)))

simplify984.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	2002
3	2002
2	921
1	366
0	162

prune915.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* 2/3 (* x x)) 2))
0.0b	(+ (* 2/5 (pow x 5)) (* x (+ (* 2/3 (* x x)) 2)))
0.1b	(* 2/5 (pow x 5))
0.2b	(* 2/3 (* x x))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

58.0ms	(* x (+ (* 2/3 (* x x)) 2))
20.0ms	(+ (* 2/5 (pow x 5)) (* x (+ (* 2/3 (* x x)) 2)))
16.0ms	(* 2/5 (pow x 5))
32.0ms	(* 2/3 (* x x))

series300.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* x (+ (* 2/3 (* x x)) 2))
85.0ms	(+ (* 2/5 (pow x 5)) (* x (+ (* 2/3 (* x x)) 2)))
68.0ms	(* 2/5 (pow x 5))
37.0ms	(* 2/3 (* x x))

simplify1.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	2000
3	2000
2	1627
1	431
0	144

prune764.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2/5 (pow x 5)) (* (* 2/3 (* x x)) x))
0.1b	(* 2/5 (pow x 5))
0.1b	(* (* 2/3 (* x x)) x)
0.2b	(* 2/3 (* x x))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
7×	`associate-l`
6×	`add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 80

Calls

4 calls:

9.0ms	(+ (* 2/5 (pow x 5)) (* (* 2/3 (* x x)) x))
9.0ms	(* 2/5 (pow x 5))
46.0ms	(* (* 2/3 (* x x)) x)
22.0ms	(* 2/3 (* x x))

series344.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(+ (* 2/5 (pow x 5)) (* (* 2/3 (* x x)) x))
56.0ms	(* 2/5 (pow x 5))
56.0ms	(* (* 2/3 (* x x)) x)
34.0ms	(* 2/3 (* x x))

simplify886.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	2018
3	2018
2	1027
1	331
0	123

prune786.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1) (- 1 (* x (* x x))))
0.1b	(* x (* x x))
5.6b	(log (+ (+ x (* x x)) 1))
5.6b	(log (/ (+ x 1) (- 1 (* x (* x x)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `times-frac`
23×	`add-cube-cbrt`
22×	`log-prod`
20×	`pow1`
15×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`distribute-lft-out`
5×	`pow-prod-up`
4×	`associate-/r/` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`log-div` `associate-/r` `rem-log-exp` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `flip3--` `div-exp` `log-pow` `flip-+` `div-inv` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

17.0ms	(/ (+ x 1) (- 1 (* x (* x x))))
19.0ms	(* x (* x x))
9.0ms	(log (+ (+ x (* x x)) 1))
6.0ms	(log (/ (+ x 1) (- 1 (* x (* x x)))))

series174.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (+ x 1) (- 1 (* x (* x x))))
35.0ms	(* x (* x x))
35.0ms	(log (+ (+ x (* x x)) 1))
59.0ms	(log (/ (+ x 1) (- 1 (* x (* x x)))))

simplify1.0s

Counts

119 → 119

Iterations

Iter	Nodes
done	2002
3	2002
2	1442
1	497
0	203

prune910.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes42.0ms

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
done	22
1	22
0	15

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.6s	3452×	body	1280	valid
2.0s	2460×	body	640	valid
1.4s	8057×	body	80	nan
481.0ms	1240×	body	320	valid
193.0ms	647×	body	160	valid
24.0ms	201×	body	80	valid