Details

sample135.0ms

Algorithm

intervals

Results

75.0ms	121×	body	1280	valid
22.0ms	74×	body	640	valid
10.0ms	281×	body	80	nan
6.0ms	36×	body	320	valid
2.0ms	20×	body	160	valid
0.0ms	5×	body	80	valid

simplify142.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	127
9	127
8	123
7	116
6	105
5	88
4	60
3	38
2	25
1	18
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite42.0ms

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:

24.0ms	(/ (+ 1.0 x) (- 1.0 x))
11.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series244.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (+ 1.0 x) (- 1.0 x))
191.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
3	2885
2	881
1	347
0	146

prune379.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

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

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (* (* (log (/ (+ 1.0 x) (- 1.0 x))) (log (/ (+ 1.0 x) (- 1.0 x)))) (log (/ (+ 1.0 x) (- 1.0 x)))))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
78×	`log-prod`
60×	`times-frac`
58×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
7×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3--` `div-exp` `log-pow` `div-inv` `flip--`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 129

Calls

4 calls:

26.0ms	(cbrt (* (* (log (/ (+ 1.0 x) (- 1.0 x))) (log (/ (+ 1.0 x) (- 1.0 x)))) (log (/ (+ 1.0 x) (- 1.0 x)))))
14.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
13.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
14.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series612.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (* (* (log (/ (+ 1.0 x) (- 1.0 x))) (log (/ (+ 1.0 x) (- 1.0 x)))) (log (/ (+ 1.0 x) (- 1.0 x)))))
128.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
172.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
185.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.3s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
4	4438
3	1383
2	537
1	252
0	128

prune697.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

5.9b	(log (sqrt (- 1.0 x)))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))
6.1b	(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
98×	`log-prod`
72×	`times-frac`
69×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
25×	`sqrt-prod`
18×	`distribute-lft-out`
14×	`add-exp-log`
13×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1`
7×	`rem-log-exp`
6×	`associate-/r/` `log-pow`
5×	`log-div`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `sqrt-div` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`div-exp` `div-inv`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 152

Calls

4 calls:

5.0ms	(log (sqrt (- 1.0 x)))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
11.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
17.0ms	(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

series614.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(log (sqrt (- 1.0 x)))
139.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
156.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
231.0ms	(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

simplify2.2s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
3	3685
2	1186
1	527
0	266

prune979.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes78.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.3s	3336×	body	1280	valid
1.2s	2555×	body	640	valid
521.0ms	7989×	body	80	nan
352.0ms	1283×	body	320	valid
159.0ms	622×	body	160	valid
15.0ms	204×	body	80	valid