Details

sample127.0ms

Algorithm

intervals

Results

69.0ms	114×	body	1280	valid
22.0ms	73×	body	640	valid
9.0ms	271×	body	80	nan
8.0ms	41×	body	320	valid
2.0ms	20×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite70.0ms

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:

35.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
29.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series232.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
190.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.9s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	3082
2	844
1	349
0	143

prune349.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

20.0ms	(+ (* (/ eps 1.0) (/ eps 1.0)) eps)
58.0ms	(- (* eps eps) (+ (* (/ eps 1.0) (/ eps 1.0)) eps))

series107.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(+ (* (/ eps 1.0) (/ eps 1.0)) eps)
20.0ms	(- (* eps eps) (+ (* (/ eps 1.0) (/ eps 1.0)) eps))

simplify1.7s

Counts

32 → 32

Iterations

Iter	Nodes
done	5002
3	2161
2	558
1	166
0	56

prune153.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* eps eps) eps)
0.1b	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0)))
0.1b	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0)))
40.8b	(/ (+ (* (* eps eps) eps) (* (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (* (/ eps 1.0) (/ eps 1.0)))) (+ (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (- (* eps eps) (* (* (/ eps 1.0) (/ eps 1.0)) eps))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

271×	`add-cbrt-cube` `add-exp-log`
245×	`pow1`
133×	`prod-exp` `cbrt-unprod`
81×	`cbrt-undiv` `div-exp`
78×	`pow-prod-up`
68×	`frac-times`
49×	`pow-prod-down`
46×	`pow-sqr`
44×	`associate-l/` `associate-r/`
42×	`pow-plus`
32×	`associate-/r/`
30×	`frac-add`
28×	`pow2`
15×	`add-sqr-sqrt` `flip3--` `flip--`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`pow3`
5×	`associate-r`
4×	`sum-cubes` `associate-/l*` `add-log-exp`
3×	`associate-/r` `associate-l` `-commutative` `unswap-sqr`
2×	`flip3-+` `swap-sqr` `flip-+` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv`

Counts

4 → 333

Calls

4 calls:

23.0ms	(* (* eps eps) eps)
61.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0)))
76.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0)))
1.0s	(/ (+ (* (* eps eps) eps) (* (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (* (/ eps 1.0) (/ eps 1.0)))) (+ (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (- (* eps eps) (* (* (/ eps 1.0) (/ eps 1.0)) eps))))

series465.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* eps eps) eps)
39.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0)))
40.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0)))
350.0ms	(/ (+ (* (* eps eps) eps) (* (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (* (/ eps 1.0) (/ eps 1.0)))) (+ (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (- (* eps eps) (* (* (/ eps 1.0) (/ eps 1.0)) eps))))

simplify2.6s

Counts

345 → 345

Iterations

Iter	Nodes
done	5000
2	4097
1	1020
0	334

prune788.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0)))
0.1b	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0)))
3.1b	(exp (log (/ (+ (* (* eps eps) eps) (* (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (* (/ eps 1.0) (/ eps 1.0)))) (+ (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (- (* eps eps) (* (* (/ eps 1.0) (/ eps 1.0)) eps))))))
40.8b	(/ (+ (* (* eps eps) eps) (* (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (* (/ eps 1.0) (/ eps 1.0)))) (+ (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (- (* eps eps) (* (* (/ eps 1.0) (/ eps 1.0)) eps))))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

266×	`add-cbrt-cube` `add-exp-log`
227×	`pow1`
130×	`prod-exp` `cbrt-unprod`
102×	`frac-times`
81×	`cbrt-undiv` `div-exp`
72×	`pow-prod-up`
66×	`associate-l/` `associate-r/`
64×	`associate-/r/`
60×	`frac-add`
48×	`log-prod` `exp-sum`
46×	`pow-prod-down`
44×	`pow-sqr`
36×	`pow-plus`
30×	`flip3--` `flip--`
26×	`pow2`
24×	`times-frac`
22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`pow3`
7×	`sum-cubes`
4×	`exp-prod` `associate-/l*` `add-log-exp`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`swap-sqr` `associate-r` `associate-l` `*-commutative` `div-inv` `unswap-sqr` `associate-/l/`
1×	`log-div` `clear-num` `frac-2neg` `exp-diff` `log-pow` `rem-exp-log`

Counts

4 → 366

Calls

4 calls:

57.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0)))
98.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0)))
413.0ms	(exp (log (/ (+ (* (* eps eps) eps) (* (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (* (/ eps 1.0) (/ eps 1.0)))) (+ (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (- (* eps eps) (* (* (/ eps 1.0) (/ eps 1.0)) eps))))))
1.0s	(/ (+ (* (* eps eps) eps) (* (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (* (/ eps 1.0) (/ eps 1.0)))) (+ (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (- (* eps eps) (* (* (/ eps 1.0) (/ eps 1.0)) eps))))

series811.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0)))
43.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0)))
358.0ms	(exp (log (/ (+ (* (* eps eps) eps) (* (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (* (/ eps 1.0) (/ eps 1.0)))) (+ (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (- (* eps eps) (* (* (/ eps 1.0) (/ eps 1.0)) eps))))))
359.0ms	(/ (+ (* (* eps eps) eps) (* (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (* (/ eps 1.0) (/ eps 1.0)))) (+ (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) (/ eps 1.0))) (- (* eps eps) (* (* (/ eps 1.0) (/ eps 1.0)) eps))))

simplify3.2s

Counts

378 → 378

Iterations

Iter	Nodes
done	5000
2	4754
1	1352
0	483

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes158.0ms

Accuracy

0% (0.5b 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

sample4.2s

Algorithm

intervals

Results

2.1s	3420×	body	1280	valid
1.2s	2525×	body	640	valid
335.0ms	8157×	body	80	nan
220.0ms	1221×	body	320	valid
69.0ms	643×	body	160	valid
9.0ms	191×	body	80	valid