Details

sample120.0ms

Algorithm

intervals

Results

62.0ms	113×	body	1280	valid
24.0ms	75×	body	640	valid
8.0ms	270×	body	80	nan
7.0ms	39×	body	320	valid
2.0ms	24×	body	160	valid
0.0ms	5×	body	80	valid

simplify15.0ms

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: 59.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite85.0ms

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:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
41.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series225.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
175.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.2s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1348
1	349
0	143

prune408.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity`
3×	`add-sqr-sqrt`
2×	`pow1` `sum-log` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 27

Calls

2 calls:

50.0ms	(- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0))))
8.0ms	(+ eps (/ (* eps eps) (* 1.0 1.0)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0))))
86.0ms	(+ eps (/ (* eps eps) (* 1.0 1.0)))

simplify940.0ms

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
2	943
1	173
0	56

prune151.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0))))) (cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0))))))
0.6b	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
0.6b	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
0.6b	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
30×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
7×	`swap-sqr` `associate-r` `associate-l` `difference-of-squares`
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 → 93

Calls

4 calls:

256.0ms	(* (cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0))))) (cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0))))))
38.0ms	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
37.0ms	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
39.0ms	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

284.0ms	(* (cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0))))) (cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0))))))
305.0ms	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
332.0ms	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
271.0ms	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))

simplify1.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1106
1	240
0	99

prune643.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
0.6b	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
0.6b	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
17.2b	(log (exp (cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
14×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`log-pow`
7×	`exp-prod`
6×	`cbrt-div`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`log-prod` `flip3--` `pow1/3` `flip--`
1×	`rem-log-exp`

Counts

4 → 61

Calls

4 calls:

34.0ms	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
33.0ms	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
34.0ms	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
135.0ms	(log (exp (cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

353.0ms	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
279.0ms	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
266.0ms	(cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))
311.0ms	(log (exp (cbrt (- (* eps eps) (+ eps (/ (* eps eps) (* 1.0 1.0)))))))

simplify1.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	1338
2	378
1	155
0	77

prune369.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.5s	3401×	body	1280	valid
987.0ms	2508×	body	640	valid
385.0ms	7944×	body	80	nan
321.0ms	1260×	body	320	valid
76.0ms	636×	body	160	valid
11.0ms	195×	body	80	valid