Details

sample182.0ms

Algorithm

intervals

Results

91.0ms	107×	body	1280	valid
37.0ms	87×	body	640	valid
15.0ms	262×	body	80	nan
10.0ms	36×	body	320	valid
3.0ms	21×	body	160	valid
1.0ms	5×	body	80	valid

simplify152.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	123
8	123
7	121
6	106
5	88
4	61
3	40
2	25
1	18
0	9

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))
6.3b	(log (/ (+ x 1.0) (- 1.0 x)))

rewrite60.0ms

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

Counts

2 → 82

Calls

2 calls:

38.0ms	(/ (+ x 1.0) (- 1.0 x))
16.0ms	(log (/ (+ x 1.0) (- 1.0 x)))

series233.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (+ x 1.0) (- 1.0 x))
182.0ms	(log (/ (+ x 1.0) (- 1.0 x)))

simplify556.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1305
1	333
0	147

prune424.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune16.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ 1.0 x) x)
6.4b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
6.4b	(log (+ (pow 1.0 2) (* (+ 1.0 x) x)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

134×	`add-sqr-sqrt`
128×	`*-un-lft-identity`
109×	`log-prod`
100×	`times-frac`
64×	`difference-of-squares`
48×	`unpow-prod-down` `cube-prod`
36×	`add-cube-cbrt`
32×	`sqr-pow`
26×	`distribute-lft-out`
20×	`distribute-lft-out--`
9×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube`
4×	`difference-cubes` `associate-l`
3×	`log-div` `rem-log-exp` `associate-r` `add-log-exp`
2×	`flip3-+` `associate-*l/` `associate-/r/` `log-pow` `flip-+`
1×	`flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`

Counts

3 → 152

Calls

3 calls:

22.0ms	(* (+ 1.0 x) x)
51.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
13.0ms	(log (+ (pow 1.0 2) (* (+ 1.0 x) x)))

series299.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (+ 1.0 x) x)
124.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
110.0ms	(log (+ (pow 1.0 2) (* (+ 1.0 x) x)))

simplify1.5s

Counts

161 → 161

Iterations

Iter	Nodes
done	5000
2	2589
1	705
0	328

prune785.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x (+ 1.0 x)) (* (+ 1.0 x) x))
2.3b	(log (- (pow 1.0 4) (* (* x (+ 1.0 x)) (* (+ 1.0 x) x))))
6.4b	(log (- (* 1.0 1.0) (* x (+ 1.0 x))))
6.4b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

132×	`add-sqr-sqrt`
126×	`*-un-lft-identity`
112×	`log-prod`
100×	`times-frac`
64×	`difference-of-squares`
48×	`unpow-prod-down` `cube-prod`
36×	`add-cube-cbrt`
32×	`sqr-pow`
25×	`distribute-lft-out`
21×	`add-exp-log`
20×	`distribute-lft-out--`
19×	`pow1`
16×	`add-cbrt-cube`
8×	`pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `cbrt-unprod`
6×	`flip3-+` `flip-+`
5×	`log-div`
4×	`frac-times` `difference-cubes` `rem-log-exp` `add-log-exp`
3×	`flip3--` `log-pow` `flip--`
2×	`associate-/r/`
1×	`div-exp` `associate-r` `associate-l` `*-commutative` `div-inv`

Counts

4 → 175

Calls

4 calls:

89.0ms	(* (* x (+ 1.0 x)) (* (+ 1.0 x) x))
14.0ms	(log (- (pow 1.0 4) (* (* x (+ 1.0 x)) (* (+ 1.0 x) x))))
13.0ms	(log (- (* 1.0 1.0) (* x (+ 1.0 x))))
39.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

series411.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* x (+ 1.0 x)) (* (+ 1.0 x) x))
133.0ms	(log (- (pow 1.0 4) (* (* x (+ 1.0 x)) (* (+ 1.0 x) x))))
106.0ms	(log (- (* 1.0 1.0) (* x (+ 1.0 x))))
129.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

simplify2.5s

Counts

187 → 187

Iterations

Iter	Nodes
done	5001
2	4586
1	986
0	408

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes38.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.7s	3449×	body	1280	valid
1.2s	2474×	body	640	valid
941.0ms	8212×	body	80	nan
349.0ms	1233×	body	320	valid
101.0ms	651×	body	160	valid
14.0ms	193×	body	80	valid