Details

sample142.0ms

Algorithm

intervals

Results

72.0ms	108×	body	1280	valid
29.0ms	79×	body	640	valid
11.0ms	250×	body	80	nan
10.0ms	43×	body	320	valid
3.0ms	22×	body	160	valid
0.0ms	4×	body	80	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	192
1	15	192
2	20	192
3	23	192
done	23	192

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize9.0ms

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)))

rewrite56.0ms

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:

26.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
23.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series265.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
203.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: 2 (321.0ms)

Iter	Nodes	Cost
0	143	30585
1	349	27248
2	1348	26726
done	5001	26726

prune420.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ (* eps eps) (* 1.0 1.0)) eps)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

21.0ms

(+ (/ (* eps eps) (* 1.0 1.0)) eps)

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(+ (/ (* eps eps) (* 1.0 1.0)) eps)

simplify3.2s

Counts

15 → 15

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	30	4206
1	90	2882
2	491	2882
3	4654	2882
done	5001	2882

prune67.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps)) (cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps)))
0.7b	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
0.7b	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
0.7b	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

131.0ms	(* (cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps)) (cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps)))
12.0ms	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
11.0ms	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
12.0ms	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))

series507.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps)) (cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps)))
117.0ms	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
123.0ms	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
116.0ms	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))

simplify1.7s

Counts

107 → 107

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	166	54726
1	414	41818
2	1683	41818
done	5000	40338

prune600.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
0.7b	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
0.7b	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
16.6b	(log (exp (cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`log-pow`
7×	`exp-prod`
6×	`cbrt-div`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out` `add-log-exp`
3×	`log-prod` `flip3-+` `pow1/3` `flip-+`
1×	`rem-log-exp`

Counts

4 → 61

Calls

4 calls:

13.0ms	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
20.0ms	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
19.0ms	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
79.0ms	(log (exp (cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))))

series498.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
114.0ms	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
135.0ms	(cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))
142.0ms	(log (exp (cbrt (+ (/ (* eps eps) (* 1.0 1.0)) eps))))

simplify1.2s

Counts

73 → 73

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	113	39607
1	247	28306
2	840	28306
done	5000	27022

prune439.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes108.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	353
1	14	353
done	14	353

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.1s	3459×	body	1280	valid
1.4s	2423×	body	640	valid
456.0ms	8142×	body	80	nan
244.0ms	1244×	body	320	valid
79.0ms	662×	body	160	valid
12.0ms	212×	body	80	valid