Details

sample157.0ms

Algorithm

intervals

Results

73.0ms	104×	body	1280	valid
35.0ms	81×	body	640	valid
16.0ms	277×	body	80	nan
11.0ms	44×	body	320	valid
4.0ms	25×	body	160	valid
0.0ms	2×	body	80	valid

simplify191.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.2b	(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:

27.0ms	(/ (+ 1.0 x) (- 1.0 x))
13.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series225.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (+ 1.0 x) (- 1.0 x))
173.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1377
1	347
0	146

prune433.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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

prune9.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
7.2b	(log (/ (+ 1.0 x) (- 1.0 x)))
7.2b	(log (/ (+ 1.0 x) (- 1.0 x)))
7.2b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
78×	`log-prod`
60×	`times-frac`
59×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `expm1-log1p-u` `add-cbrt-cube` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3--` `div-exp` `div-inv` `flip--`
1×	`pow1/3`

Counts

4 → 131

Calls

4 calls:

1.0ms	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
9.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series858.0ms

Counts

4 → 12

Calls

4 calls:

357.0ms	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
154.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
161.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
186.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.5s

Counts

143 → 143

Iterations

Iter	Nodes
done	5001
2	1259
1	368
0	164

prune730.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

7.2b	(log (/ (+ 1.0 x) (- 1.0 x)))
7.2b	(log (/ (+ 1.0 x) (- 1.0 x)))
7.2b	(log (/ (+ 1.0 x) (- 1.0 x)))
7.2b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`log-prod`
80×	`times-frac`
76×	`add-sqr-sqrt`
44×	`add-cube-cbrt`
20×	`distribute-lft-out`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
8×	`pow1` `rem-log-exp` `associate-/r/`
4×	`expm1-log1p-u` `log-div` `flip3--` `add-cbrt-cube` `div-exp` `log-pow` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

4 → 156

Calls

4 calls:

8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
9.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
17.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
17.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series822.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
223.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
209.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
165.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.7s

Counts

168 → 168

Iterations

Iter	Nodes
done	5001
3	3288
2	720
1	240
0	117

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.2s	3482×	body	1280	valid
1.1s	2440×	body	640	valid
1.0s	8007×	body	80	nan
369.0ms	1274×	body	320	valid
97.0ms	621×	body	160	valid
16.0ms	183×	body	80	valid