Details

sample145.0ms

Algorithm

intervals

Results

71.0ms	108×	body	1280	valid
31.0ms	79×	body	640	valid
12.0ms	250×	body	80	nan
11.0ms	43×	body	320	valid
3.0ms	21×	body	160	valid
0.0ms	5×	body	80	valid

simplify160.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	273
1	18	273
2	25	273
3	40	273
4	65	273
5	96	273
6	122	273
7	145	273
8	149	273
done	149	273

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.3b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite44.0ms

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×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `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 → 86

Calls

2 calls:

30.0ms	(/ (+ 1.0 x) (- 1.0 x))
11.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (+ 1.0 x) (- 1.0 x))
128.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.2s

Counts

92 → 92

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	146	31449
1	347	28014
2	1377	27627
done	5001	27393

prune463.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune12.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 1.0 x))
0.1b	(* x (* x x))
5.3b	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
5.3b	(log (/ (+ 1.0 x) (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
25×	`log-prod`
22×	`pow1`
20×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`times-frac`
15×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`cube-unmult`
6×	`associate-l`
5×	`associate-r` `pow-prod-up` `distribute-lft-out`
4×	`expm1-log1p-u` `difference-cubes` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp`
2×	`associate-r/` `associate-/r/` `log-pow` `-commutative` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `log-div` `distribute-lft-in` `flip3-+` `pow-plus` `flip3--` `div-exp` `pow-sqr` `flip-+` `div-inv` `flip--`

Counts

4 → 100

Calls

4 calls:

28.0ms	(* x (+ 1.0 x))
14.0ms	(* x (* x x))
1.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
47.0ms	(log (/ (+ 1.0 x) (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))))

series322.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* x (+ 1.0 x))
41.0ms	(* x (* x x))
113.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
103.0ms	(log (/ (+ 1.0 x) (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))))

simplify3.4s

Counts

112 → 112

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	207	36851
1	544	32588
2	3252	31811
done	5001	31712

prune519.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma (* x x) -1/2 (fma 1.0 x (log 1.0))) (log (fma 1.0 1.0 (* x (+ 1.0 x)))))
0.0b	(* x (+ 1.0 x))
5.3b	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

11.0ms	(+ (fma (* x x) -1/2 (fma 1.0 x (log 1.0))) (log (fma 1.0 1.0 (* x (+ 1.0 x)))))
25.0ms	(* x (+ 1.0 x))
1.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

series329.0ms

Counts

3 → 9

Calls

3 calls:

154.0ms	(+ (fma (* x x) -1/2 (fma 1.0 x (log 1.0))) (log (fma 1.0 1.0 (* x (+ 1.0 x)))))
78.0ms	(* x (+ 1.0 x))
96.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

simplify1.9s

Counts

70 → 70

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	128	23180
1	338	20165
2	1616	19917
done	5001	19659

prune385.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes73.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	383
1	12	383
done	12	383

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.7s	3461×	body	1280	valid
1.5s	2422×	body	640	valid
539.0ms	8142×	body	80	nan
299.0ms	1242×	body	320	valid
134.0ms	664×	body	160	valid
15.0ms	211×	body	80	valid