Details

sample124.0ms

Algorithm

intervals

Results

63.0ms	102×	body	1280	valid
26.0ms	83×	body	640	valid
8.0ms	45×	body	320	valid
8.0ms	248×	body	80	nan
2.0ms	18×	body	160	valid
0.0ms	8×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ eps 1.0))
5.6b	(log (/ (- 1.0 eps) (+ eps 1.0)))

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

Counts

2 → 83

Calls

2 calls:

30.0ms	(/ (- 1.0 eps) (+ eps 1.0))
8.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))

series228.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify731.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1494
1	356
0	148

prune376.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

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

prune10.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (/ (- 1.0 eps) (+ eps 1.0)) 3))
0.0b	(/ (- 1.0 eps) (+ eps 1.0))
0.0b	(pow (/ (- 1.0 eps) (+ eps 1.0)) 3)
5.6b	(log (cbrt (pow (/ (- 1.0 eps) (+ eps 1.0)) 3)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
140×	`times-frac`
137×	`add-sqr-sqrt`
116×	`cbrt-prod`
79×	`add-cube-cbrt`
78×	`unpow-prod-down` `cube-prod`
61×	`log-prod`
36×	`distribute-lft-out`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
10×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`flip3-+` `flip-+` `div-inv`
6×	`pow1`
5×	`associate-/l*`
4×	`associate-/r*` `add-log-exp`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `sqr-pow`
2×	`cbrt-undiv` `cbrt-div` `pow1/3` `div-exp` `pow-exp` `log-pow` `rem-cube-cbrt` `associate-/l/`
1×	`pow-to-exp` `log-div` `clear-num` `pow-pow` `frac-2neg` `flip3--` `div-sub` `rem-log-exp` `rem-cbrt-cube` `flip--`

Counts

4 → 258

Calls

4 calls:

31.0ms	(cbrt (pow (/ (- 1.0 eps) (+ eps 1.0)) 3))
18.0ms	(/ (- 1.0 eps) (+ eps 1.0))
19.0ms	(pow (/ (- 1.0 eps) (+ eps 1.0)) 3)
41.0ms	(log (cbrt (pow (/ (- 1.0 eps) (+ eps 1.0)) 3)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt (pow (/ (- 1.0 eps) (+ eps 1.0)) 3))
51.0ms	(/ (- 1.0 eps) (+ eps 1.0))
84.0ms	(pow (/ (- 1.0 eps) (+ eps 1.0)) 3)
181.0ms	(log (cbrt (pow (/ (- 1.0 eps) (+ eps 1.0)) 3)))

simplify1.9s

Counts

270 → 270

Iterations

Iter	Nodes
done	5001
2	4497
1	813
0	266

prune804.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
0.0b	(cbrt (/ (- 1.0 eps) (+ 1.0 eps)))
5.6b	(log (cbrt (pow (/ (- 1.0 eps) (+ 1.0 eps)) 2)))
5.6b	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

124×	`*-un-lft-identity`
83×	`cbrt-prod`
82×	`add-sqr-sqrt`
80×	`times-frac`
63×	`log-prod`
48×	`add-cube-cbrt`
26×	`unpow-prod-down`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
8×	`add-exp-log` `associate-/r/`
6×	`pow1` `add-cbrt-cube`
5×	`associate-/l*`
4×	`associate-/r*` `flip3-+` `log-pow` `flip-+` `div-inv` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-div` `rem-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `flip--` `unpow2` `sqr-pow`

Counts

4 → 165

Calls

4 calls:

22.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms	(cbrt (/ (- 1.0 eps) (+ 1.0 eps)))
33.0ms	(log (cbrt (pow (/ (- 1.0 eps) (+ 1.0 eps)) 2)))
15.0ms	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))

series1.4s

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
181.0ms	(cbrt (/ (- 1.0 eps) (+ 1.0 eps)))
643.0ms	(log (cbrt (pow (/ (- 1.0 eps) (+ 1.0 eps)) 2)))
503.0ms	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))

simplify1.5s

Counts

177 → 177

Iterations

Iter	Nodes
done	5000
2	2660
1	715
0	348

prune939.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes62.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.4s	3488×	body	1280	valid
856.0ms	2436×	body	640	valid
825.0ms	7876×	body	80	nan
250.0ms	1248×	body	320	valid
122.0ms	615×	body	160	valid
11.0ms	213×	body	80	valid