Details

sample288.0ms

Algorithm

intervals

Results

155.0ms	106×	body	1280	valid
56.0ms	77×	body	640	valid
30.0ms	247×	body	80	nan
24.0ms	48×	body	320	valid
6.0ms	19×	body	160	valid
1.0ms	6×	body	80	valid

simplify200.0ms

Counts

1 → 1

Iterations

Iter	Nodes
10	175
9	175
8	171
7	169
6	137
5	115
4	87
3	59
2	27
1	19
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
6.5b	(log (/ (+ x 1) (- 1 x)))

rewrite50.0ms

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×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 97

Calls

2 calls:

37.0ms	(/ (+ x 1) (- 1 x))
10.0ms	(log (/ (+ x 1) (- 1 x)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (+ x 1) (- 1 x))
125.0ms	(log (/ (+ x 1) (- 1 x)))

simplify1.2s

Counts

103 → 103

Iterations

Iter	Nodes
3	2198
2	855
1	372
0	166

prune608.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))
0.0b	(* x (+ (* (* 2/3 x) x) 2))
0.2b	(* (* 2/3 x) x)
0.3b	(* 2/3 x)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`associate-*r/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `fma-udef`

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))
61.0ms	(* x (+ (* (* 2/3 x) x) 2))
14.0ms	(* (* 2/3 x) x)
6.0ms	(* 2/3 x)

series225.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))
115.0ms	(* x (+ (* (* 2/3 x) x) 2))
29.0ms	(* (* 2/3 x) x)
16.0ms	(* 2/3 x)

simplify2.6s

Counts

90 → 90

Iterations

Iter	Nodes
3	4164
2	899
1	275
0	112

prune822.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2/5 (pow x 5) (+ (* x (* (* 2/3 x) x)) (* x 2)))
0.1b	(* x (* (* 2/3 x) x))
0.2b	(* (* 2/3 x) x)
0.3b	(* 2/3 x)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma 2/5 (pow x 5) (+ (* x (* (* 2/3 x) x)) (* x 2)))
41.0ms	(* x (* (* 2/3 x) x))
22.0ms	(* (* 2/3 x) x)
8.0ms	(* 2/3 x)

series190.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(fma 2/5 (pow x 5) (+ (* x (* (* 2/3 x) x)) (* x 2)))
43.0ms	(* x (* (* 2/3 x) x))
32.0ms	(* (* 2/3 x) x)
27.0ms	(* 2/3 x)

simplify1.7s

Counts

89 → 89

Iterations

Iter	Nodes
3	3011
2	757
1	225
0	97

prune934.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ x 1)) (log (- 1 x)))
6.5b	(log (- 1 x))
6.6b	(log (+ x 1))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`log-prod`
18×	`pow1`
16×	`prod-diff` `add-cube-cbrt`
15×	`log-pow`
8×	`log-div`
6×	`associate--r+` `distribute-lft-out--`
5×	`add-exp-log` `difference-of-squares`
4×	`fma-neg` `associate--l+`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`associate--l-` `sub-neg` `log1p-def` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`diff-log`

Counts

3 → 94

Calls

3 calls:

27.0ms	(- (log (+ x 1)) (log (- 1 x)))
10.0ms	(log (- 1 x))
7.0ms	(log (+ x 1))

series254.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(- (log (+ x 1)) (log (- 1 x)))
43.0ms	(log (- 1 x))
43.0ms	(log (+ x 1))

simplify956.0ms

Counts

103 → 103

Iterations

Iter	Nodes
3	2072
2	801
1	379
0	173

prune514.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	20
1	20
0	14

end0.0ms

sample7.9s

Algorithm

intervals

Results

4.1s	3334×	body	1280	valid
1.8s	2574×	body	640	valid
936.0ms	7973×	body	80	nan
570.0ms	1284×	body	320	valid
193.0ms	622×	body	160	valid
56.0ms	186×	body	80	valid