Details

sample99.0ms

Algorithm

intervals

Results

57.0ms	75×	body	1280	valid
16.0ms	42×	body	640	valid
6.0ms	30×	body	320	valid
4.0ms	96×	body	80	valid
2.0ms	69×	body	80	nan
1.0ms	13×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4
done	5	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.8b

localize11.0ms

Local error

Found 1 expressions with local error:

4.7b	(log (+ 1.0 x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

5.0ms

(log (+ 1.0 x))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(log (+ 1.0 x))

simplify1.3s

Counts

20 → 20

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	60	188
1	133	177
2	429	159
3	1678	158
done	5000	154

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

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

prune4.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
1.9b	(log (- (* 1.0 1.0) (* x x)))
4.4b	(log (- 1.0 x))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

33.0ms	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
16.0ms	(log (- (* 1.0 1.0) (* x x)))
18.0ms	(log (- 1.0 x))

series353.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
141.0ms	(log (- (* 1.0 1.0) (* x x)))
54.0ms	(log (- 1.0 x))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	177	1945
1	454	1616
2	2009	1368
done	5000	1296

prune257.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(fma 1/3 (/ (pow x 3) (pow 1.0 3)) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
9.0b	(- (fma 1/3 (/ (pow x 3) (pow 1.0 3)) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (* 1.0 (pow x 2)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
74×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
40×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp` `add-cbrt-cube`
6×	`pow1` `pow-to-exp` `pow-exp` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-diff` `fma-udef`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate--l+` `-commutative` `flip--` `div-inv`

Counts

4 → 153

Calls

4 calls:

0.0ms	(fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))
45.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0ms	(fma 1/3 (/ (pow x 3) (pow 1.0 3)) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
9.0ms	(- (fma 1/3 (/ (pow x 3) (pow 1.0 3)) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (* 1.0 (pow x 2)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))
63.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
54.0ms	(fma 1/3 (/ (pow x 3) (pow 1.0 3)) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
74.0ms	(- (fma 1/3 (/ (pow x 3) (pow 1.0 3)) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (* 1.0 (pow x 2)))

simplify1.9s

Counts

165 → 165

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	291	2847
1	768	2582
2	3549	2196
done	5002	2151

prune690.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes103.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 21.7b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	24
1	20	24
done	20	24

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	2223×	body	1280	valid
479.0ms	1635×	body	640	valid
117.0ms	854×	body	320	valid
95.0ms	2664×	body	80	nan
87.0ms	2883×	body	80	valid
32.0ms	405×	body	160	valid