Details

sample143.0ms

Algorithm

intervals

Results

70.0ms	101×	body	1280	valid
32.0ms	84×	body	640	valid
10.0ms	226×	body	80	nan
9.0ms	38×	body	320	valid
4.0ms	30×	body	160	valid
0.0ms	3×	body	80	valid

simplify7.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ eps 1.0))
7.4b	(log (/ (- 1.0 eps) (+ eps 1.0)))

rewrite66.0ms

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:

49.0ms	(/ (- 1.0 eps) (+ eps 1.0))
14.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))

series244.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- 1.0 eps) (+ eps 1.0))
193.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))

simplify759.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1494
1	356
0	148

prune400.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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

prune7.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))
0.0b	(+ (log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))) (log (/ (cbrt (- 1.0 eps)) (+ eps 1.0))))
7.4b	(log (/ (cbrt (- 1.0 eps)) (+ eps 1.0)))
7.5b	(log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

113×	`*-un-lft-identity`
78×	`add-sqr-sqrt` `log-prod`
68×	`cbrt-prod`
64×	`times-frac`
46×	`add-cube-cbrt`
38×	`associate-+r+`
36×	`cbrt-div`
29×	`pow1`
22×	`distribute-lft-out`
18×	`log-div` `flip3--` `flip--`
17×	`log-pow`
14×	`distribute-lft-out--`
12×	`frac-times` `pow1/3` `add-exp-log` `difference-of-squares`
10×	`swap-sqr`
8×	`associate-r` `associate-l` `associate-+l-`
6×	`pow-prod-down` `associate-l/` `associate-r/`
4×	`add-cbrt-cube` `rem-log-exp` `associate-/r/` `pow-sqr` `pow-prod-up` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `flip-+`
2×	`pow2` `pow-plus` `prod-exp` `div-inv`
1×	`+-commutative` `associate-+l+` `associate-+r-` `sum-log` `div-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 197

Calls

4 calls:

55.0ms	(* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))
117.0ms	(+ (log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))) (log (/ (cbrt (- 1.0 eps)) (+ eps 1.0))))
12.0ms	(log (/ (cbrt (- 1.0 eps)) (+ eps 1.0)))
23.0ms	(log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))))

series1.2s

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))
473.0ms	(+ (log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))) (log (/ (cbrt (- 1.0 eps)) (+ eps 1.0))))
292.0ms	(log (/ (cbrt (- 1.0 eps)) (+ eps 1.0)))
198.0ms	(log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))))

simplify1.7s

Counts

209 → 209

Iterations

Iter	Nodes
done	5000
2	3585
1	864
0	376

prune842.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ (cbrt (pow (cbrt (- 1.0 eps)) 2)) (sqrt (+ 1.0 eps)))) (log (/ (cbrt (cbrt (- 1.0 eps))) (sqrt (+ 1.0 eps)))))
7.5b	(log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))))
7.5b	(log (/ (cbrt (pow (cbrt (- 1.0 eps)) 2)) (sqrt (+ 1.0 eps))))
7.5b	(log (/ (cbrt (cbrt (- 1.0 eps))) (sqrt (+ 1.0 eps))))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

434×	`cbrt-prod`
403×	`log-prod`
382×	`*-un-lft-identity`
378×	`times-frac`
270×	`add-sqr-sqrt`
216×	`sqrt-prod`
214×	`add-cube-cbrt`
118×	`associate-+l+`
112×	`unpow-prod-down`
83×	`associate-+r+`
58×	`distribute-lft-out`
28×	`distribute-lft-out--` `difference-of-squares`
18×	`pow1`
15×	`log-pow`
14×	`unpow2` `sqr-pow`
13×	`add-exp-log`
12×	`log-div` `cbrt-div`
8×	`sqrt-div` `associate-/r/`
6×	`flip3--` `pow1/3` `rem-log-exp` `flip--`
5×	`flip3-+` `flip-+`
4×	`frac-times` `add-cbrt-cube` `div-inv` `add-log-exp`
2×	`div-exp` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `+-commutative` `associate-+r-` `sum-log` `pow-plus` `prod-exp` `associate-+l-`

Counts

4 → 468

Calls

4 calls:

57.0ms	(+ (log (/ (cbrt (pow (cbrt (- 1.0 eps)) 2)) (sqrt (+ 1.0 eps)))) (log (/ (cbrt (cbrt (- 1.0 eps))) (sqrt (+ 1.0 eps)))))
34.0ms	(log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))))
33.0ms	(log (/ (cbrt (pow (cbrt (- 1.0 eps)) 2)) (sqrt (+ 1.0 eps))))
23.0ms	(log (/ (cbrt (cbrt (- 1.0 eps))) (sqrt (+ 1.0 eps))))

series2.7s

Counts

4 → 12

Calls

4 calls:

1.0s	(+ (log (/ (cbrt (pow (cbrt (- 1.0 eps)) 2)) (sqrt (+ 1.0 eps)))) (log (/ (cbrt (cbrt (- 1.0 eps))) (sqrt (+ 1.0 eps)))))
180.0ms	(log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))))
555.0ms	(log (/ (cbrt (pow (cbrt (- 1.0 eps)) 2)) (sqrt (+ 1.0 eps))))
940.0ms	(log (/ (cbrt (cbrt (- 1.0 eps))) (sqrt (+ 1.0 eps))))

simplify755.0ms

Counts

480 → 480

Iterations

Iter	Nodes
done	5000
1	1594
0	779

prune2.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes42.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.4s	3422×	body	1280	valid
1.5s	2518×	body	640	valid
414.0ms	7970×	body	80	nan
342.0ms	1241×	body	320	valid
84.0ms	640×	body	160	valid
11.0ms	179×	body	80	valid