Details

sample125.0ms

Algorithm

intervals

Results

62.0ms	120×	body	1280	valid
31.0ms	75×	body	640	valid
9.0ms	281×	body	80	nan
6.0ms	36×	body	320	valid
3.0ms	20×	body	160	valid
0.0ms	5×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite27.0ms

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:

17.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
8.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series199.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
141.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify2.1s

Counts

89 → 89

Iterations

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

prune428.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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

prune8.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 3 expressions with local error:

0.1b	(* eps (* eps eps))
6.1b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
6.1b	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* (* 1.0 1.0) 1.0))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

29×	`log-prod`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
20×	`times-frac`
19×	`pow1`
15×	`add-cube-cbrt`
12×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`cube-unmult`
5×	`pow3` `sum-cubes` `pow-prod-up`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-div` `rem-log-exp` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`flip3-+` `associate-/r/` `log-pow` `flip-+`
1×	`pow2` `pow-plus` `div-exp` `associate-r` `pow-sqr` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

13.0ms	(* eps (* eps eps))
16.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
24.0ms	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* (* 1.0 1.0) 1.0))))

series218.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* eps (* eps eps))
88.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
93.0ms	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* (* 1.0 1.0) 1.0))))

simplify2.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
3	3709
2	1080
1	494
0	210

prune332.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (* (+ 1.0 eps) (- 1.0 eps)))
0.0b	(* (+ 1.0 eps) (- 1.0 eps))
6.1b	(log (/ (- 1.0 eps) (* (+ 1.0 eps) (- 1.0 eps))))
6.1b	(log (- 1.0 eps))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`log-prod`
18×	`add-exp-log`
16×	`associate-/r/`
12×	`frac-times`
11×	`flip3--` `add-cbrt-cube` `add-cube-cbrt` `flip--`
10×	`times-frac`
9×	`flip3-+` `flip-+`
8×	`pow1`
6×	`associate-l/` `associate-r/`
5×	`associate-r` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`div-exp` `rem-log-exp` `associate-l` `add-log-exp`
3×	`log-div` `prod-exp`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `log-pow` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `pow-prod-down` `-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

21.0ms	(/ (- 1.0 eps) (* (+ 1.0 eps) (- 1.0 eps)))
43.0ms	(* (+ 1.0 eps) (- 1.0 eps))
21.0ms	(log (/ (- 1.0 eps) (* (+ 1.0 eps) (- 1.0 eps))))
6.0ms	(log (- 1.0 eps))

series265.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (- 1.0 eps) (* (+ 1.0 eps) (- 1.0 eps)))
91.0ms	(* (+ 1.0 eps) (- 1.0 eps))
81.0ms	(log (/ (- 1.0 eps) (* (+ 1.0 eps) (- 1.0 eps))))
60.0ms	(log (- 1.0 eps))

simplify1.6s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	1772
1	569
0	197

prune455.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes34.0ms

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

sample4.1s

Algorithm

intervals

Results

1.9s	3337×	body	1280	valid
877.0ms	2553×	body	640	valid
728.0ms	7989×	body	80	nan
261.0ms	1285×	body	320	valid
65.0ms	618×	body	160	valid
10.0ms	207×	body	80	valid