Details

sample189.0ms

Algorithm

intervals

Results

98.0ms	121×	body	1280	valid
41.0ms	77×	body	640	valid
19.0ms	228×	body	80	nan
13.0ms	39×	body	320	valid
3.0ms	12×	body	160	valid
1.0ms	7×	body	80	valid

simplify200.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
3.8b	(log (/ (+ x 1) (- 1 x)))

rewrite42.0ms

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:

30.0ms	(/ (+ x 1) (- 1 x))
9.0ms	(log (/ (+ x 1) (- 1 x)))

series126.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ x 1) (- 1 x))
96.0ms	(log (/ (+ x 1) (- 1 x)))

simplify599.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	2002
2	921
1	366
0	162

prune339.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

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×	`flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `+-commutative` `sum-log` `distribute-lft-in` `pow-exp`

Counts

4 → 81

Calls

4 calls:

58.0ms	(* x (+ (* 2/3 (* x x)) 2))
21.0ms	(+ (* 2/3 (* x x)) 2)
13.0ms	(* 2/5 (pow x 5))
20.0ms	(* 2/3 (* x x))

series269.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (+ (* 2/3 (* x x)) 2))
84.0ms	(+ (* 2/3 (* x x)) 2)
64.0ms	(* 2/5 (pow x 5))
29.0ms	(* 2/3 (* x x))

simplify497.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	2001
2	1180
1	388
0	131

prune264.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
14×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 68

Calls

3 calls:

8.0ms	(* 2/5 (pow x 5))
34.0ms	(* (* 2/3 (* x x)) x)
16.0ms	(* 2/3 (* x x))

series164.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* 2/5 (pow x 5))
60.0ms	(* (* 2/3 (* x x)) x)
46.0ms	(* 2/3 (* x x))

simplify503.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	2002
2	738
1	269
0	104

prune286.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (* (cbrt (+ (* 2/3 (* x x)) 2)) (cbrt (+ (* 2/3 (* x x)) 2))))
1.0b	(cbrt (+ (* 2/3 (* x x)) 2))
1.0b	(cbrt (+ (* 2/3 (* x x)) 2))
1.0b	(cbrt (+ (* 2/3 (* x x)) 2))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `flip3-+` `add-exp-log` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`frac-times` `insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

111.0ms	(* x (* (cbrt (+ (* 2/3 (* x x)) 2)) (cbrt (+ (* 2/3 (* x x)) 2))))
11.0ms	(cbrt (+ (* 2/3 (* x x)) 2))
10.0ms	(cbrt (+ (* 2/3 (* x x)) 2))
12.0ms	(cbrt (+ (* 2/3 (* x x)) 2))

series705.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(* x (* (cbrt (+ (* 2/3 (* x x)) 2)) (cbrt (+ (* 2/3 (* x x)) 2))))
183.0ms	(cbrt (+ (* 2/3 (* x x)) 2))
134.0ms	(cbrt (+ (* 2/3 (* x x)) 2))
129.0ms	(cbrt (+ (* 2/3 (* x x)) 2))

simplify802.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	2001
2	1132
1	358
0	146

prune483.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b 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

4.4s	3454×	body	1280	valid
1.6s	2482×	body	640	valid
889.0ms	7785×	body	80	nan
537.0ms	1248×	body	320	valid
184.0ms	634×	body	160	valid
22.0ms	182×	body	80	valid