Details

sample132.0ms

Algorithm

intervals

Results

68.0ms	108×	body	1280	valid
26.0ms	79×	body	640	valid
10.0ms	250×	body	80	nan
9.0ms	43×	body	320	valid
3.0ms	22×	body	160	valid
0.0ms	4×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	20
1	15
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

19.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series227.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
184.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify895.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1399
1	364
0	147

prune444.0ms

Pruning

3 alts after pruning (3 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

prune15.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (- 1.0 eps) (+ eps 1.0)))
0.0b	(cbrt (/ (- 1.0 eps) (+ eps 1.0)))
5.3b	(log (cbrt (/ (- 1.0 eps) (+ eps 1.0))))
5.3b	(log (cbrt (/ (- 1.0 eps) (+ eps 1.0))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
104×	`cbrt-prod`
80×	`times-frac`
78×	`add-sqr-sqrt`
58×	`log-prod`
46×	`add-cube-cbrt`
20×	`distribute-lft-out`
16×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
6×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-div` `flip3-+` `add-cbrt-cube` `pow1/3` `log-pow` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`log-div` `rem-log-exp`

Counts

4 → 158

Calls

4 calls:

13.0ms	(cbrt (/ (- 1.0 eps) (+ eps 1.0)))
13.0ms	(cbrt (/ (- 1.0 eps) (+ eps 1.0)))
16.0ms	(log (cbrt (/ (- 1.0 eps) (+ eps 1.0))))
15.0ms	(log (cbrt (/ (- 1.0 eps) (+ eps 1.0))))

series1.3s

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt (/ (- 1.0 eps) (+ eps 1.0)))
183.0ms	(cbrt (/ (- 1.0 eps) (+ eps 1.0)))
409.0ms	(log (cbrt (/ (- 1.0 eps) (+ eps 1.0))))
486.0ms	(log (cbrt (/ (- 1.0 eps) (+ eps 1.0))))

simplify603.0ms

Counts

170 → 170

Iterations

Iter	Nodes
done	5000
2	1045
1	358
0	184

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2 (fma (log 1.0) 1/3 (* 0.6666666666666666 (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))))) (log (cbrt (/ (- 1.0 eps) (+ eps 1.0)))))
0.0b	(/ (- 1.0 eps) (+ eps 1.0))
0.0b	(cbrt (/ (- 1.0 eps) (+ eps 1.0)))
5.3b	(log (cbrt (/ (- 1.0 eps) (+ eps 1.0))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
80×	`times-frac`
78×	`cbrt-prod`
58×	`log-prod`
47×	`add-cube-cbrt`
29×	`associate-+r+`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`pow1` `flip3-+` `flip-+` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `div-inv`
3×	`cbrt-div`
2×	`log-div` `associate-+l+` `pow1/3` `log-pow` `fma-udef` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `fma-def` `frac-2neg` `distribute-lft-in` `flip3--` `div-sub` `div-exp` `rem-log-exp` `flip--`

Counts

4 → 173

Calls

4 calls:

28.0ms	(+ (* 2 (fma (log 1.0) 1/3 (* 0.6666666666666666 (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))))) (log (cbrt (/ (- 1.0 eps) (+ eps 1.0)))))
26.0ms	(/ (- 1.0 eps) (+ eps 1.0))
14.0ms	(cbrt (/ (- 1.0 eps) (+ eps 1.0)))
16.0ms	(log (cbrt (/ (- 1.0 eps) (+ eps 1.0))))

series1.4s

Counts

4 → 12

Calls

4 calls:

654.0ms	(+ (* 2 (fma (log 1.0) 1/3 (* 0.6666666666666666 (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))))) (log (cbrt (/ (- 1.0 eps) (+ eps 1.0)))))
54.0ms	(/ (- 1.0 eps) (+ eps 1.0))
203.0ms	(cbrt (/ (- 1.0 eps) (+ eps 1.0)))
525.0ms	(log (cbrt (/ (- 1.0 eps) (+ eps 1.0))))

simplify1.8s

Counts

185 → 185

Iterations

Iter	Nodes
done	5001
2	2388
1	667
0	285

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes58.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.4s	3459×	body	1280	valid
907.0ms	2423×	body	640	valid
659.0ms	1244×	body	320	valid
467.0ms	8142×	body	80	nan
140.0ms	662×	body	160	valid
12.0ms	212×	body	80	valid