Details

sample171.0ms

Algorithm

intervals

Results

94.0ms	115×	body	1280	valid
30.0ms	78×	body	640	valid
15.0ms	288×	body	80	nan
10.0ms	43×	body	320	valid
2.0ms	15×	body	160	valid
0.0ms	5×	body	80	valid

simplify143.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	61	12
5	88	12
6	102	12
7	106	12
done	106	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
3.7b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
17.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series216.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (+ 1.0 x) (- 1.0 x))
157.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.1s

Counts

88 → 88

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	142	1276
1	319	1221
2	803	1150
3	1966	1108
done	5000	1104

prune229.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune7.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
0.0b	(* (+ 1.0 x) (/ 1 (- 1.0 x)))
3.7b	(log (* (+ 1.0 x) (/ 1 (- 1.0 x))))

rewrite556.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-exp-log`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-cbrt-cube`
9×	`pow1`
8×	`prod-exp`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`log-div` `div-exp`
5×	`rem-log-exp` `associate-/r*`
4×	`frac-times` `flip3-+` `associate-l` `associate-*l/` `associate-/r/` `flip-+`
3×	`rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `associate-*r/` `pow-prod-down` `log-pow` `un-div-inv` `flip--` `cbrt-unprod` `div-inv`
1×	`log-prod` `pow-flip` `frac-2neg` `clear-num` `*-commutative` `distribute-lft-out` `inv-pow`

Counts

3 → 111

Calls

3 calls:

28.0ms	(/ 1 (- 1.0 x))
481.0ms	(* (+ 1.0 x) (/ 1 (- 1.0 x)))
38.0ms	(log (* (+ 1.0 x) (/ 1 (- 1.0 x))))

series315.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (- 1.0 x))
63.0ms	(* (+ 1.0 x) (/ 1 (- 1.0 x)))
210.0ms	(log (* (+ 1.0 x) (/ 1 (- 1.0 x))))

simplify3.3s

Counts

120 → 120

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	170	1410
1	394	1167
2	1138	1041
3	3171	1014
done	5000	1014

prune319.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (+ (pow 1.0 3) (pow x 3))) (log (* (- 1.0 x) (+ (* 1.0 1.0) (* x (- x 1.0))))))
0.0b	(* x (- x 1.0))
1.6b	(log (+ (pow 1.0 3) (pow x 3)))
3.7b	(log (* (- 1.0 x) (+ (* 1.0 1.0) (* x (- x 1.0)))))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
20×	`log-div` `log-prod`
19×	`pow1`
14×	`add-sqr-sqrt`
10×	`add-exp-log` `log-pow` `distribute-lft-out`
9×	`associate--l+`
8×	`frac-times` `add-cube-cbrt` `unpow-prod-down` `flip3--` `flip3-+` `cube-prod` `flip--` `flip-+` `associate--r-`
7×	`distribute-lft-out--`
6×	`associate-*r/` `add-cbrt-cube`
5×	`associate-r`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`sub-neg` `rem-log-exp` `associate-l`
2×	`associate--l-` `distribute-rgt-in` `distribute-lft-in` `prod-exp` `sum-cubes` `difference-of-squares`
1×	`diff-log` `*-commutative` `cbrt-unprod` `associate--r+` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

100.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (* (- 1.0 x) (+ (* 1.0 1.0) (* x (- x 1.0))))))
23.0ms	(* x (- x 1.0))
32.0ms	(log (+ (pow 1.0 3) (pow x 3)))
47.0ms	(log (* (- 1.0 x) (+ (* 1.0 1.0) (* x (- x 1.0)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

366.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (* (- 1.0 x) (+ (* 1.0 1.0) (* x (- x 1.0))))))
69.0ms	(* x (- x 1.0))
361.0ms	(log (+ (pow 1.0 3) (pow x 3)))
214.0ms	(log (* (- 1.0 x) (+ (* 1.0 1.0) (* x (- x 1.0)))))

simplify1.4s

Counts

117 → 117

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	233	2426
1	595	2237
2	2004	2132
done	5000	2128

prune704.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	43
1	33	43
done	33	43

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.8s	3404×	body	1280	valid
1.6s	2505×	body	640	valid
578.0ms	8037×	body	80	nan
541.0ms	211×	body	80	valid
438.0ms	1253×	body	320	valid
155.0ms	627×	body	160	valid