Details

sample157.0ms

Algorithm

intervals

Results

90.0ms	121×	body	1280	valid
32.0ms	77×	body	640	valid
13.0ms	228×	body	80	nan
9.0ms	39×	body	320	valid
2.0ms	12×	body	160	valid
1.0ms	7×	body	80	valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	27
3	27
2	24
1	17
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
3.8b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite371.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 98

Calls

2 calls:

362.0ms	(/ (- 1 eps) (+ 1 eps))
7.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- 1 eps) (+ 1 eps))
82.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify659.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	2000
2	973
1	394
0	162

prune294.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 2 (* 2/3 (* eps eps)))
0.0b	(* eps (+ 2 (* 2/3 (* eps eps))))
0.2b	(* 2/3 (* eps eps))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `insert-posit16` `log1p-expm1-u`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

3 → 64

Calls

3 calls:

6.0ms	(+ 2 (* 2/3 (* eps eps)))
15.0ms	(* eps (+ 2 (* 2/3 (* eps eps))))
24.0ms	(* 2/3 (* eps eps))

series232.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ 2 (* 2/3 (* eps eps)))
126.0ms	(* eps (+ 2 (* 2/3 (* eps eps))))
30.0ms	(* 2/3 (* eps eps))

simplify687.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	2012
2	1125
1	299
0	92

prune312.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 2 expressions with local error:

0.1b	(* eps (* 2/3 (* eps eps)))
0.2b	(* 2/3 (* eps eps))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 46

Calls

2 calls:

49.0ms	(* eps (* 2/3 (* eps eps)))
20.0ms	(* 2/3 (* eps eps))

series106.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* eps (* 2/3 (* eps eps)))
50.0ms	(* 2/3 (* eps eps))

simplify711.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	2007
2	503
1	160
0	62

prune229.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 2/3 (* eps eps))
1.0b	(cbrt 2)
1.0b	(cbrt 2)
1.0b	(cbrt 2)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

13.0ms	(* 2/3 (* eps eps))
1.0ms	(cbrt 2)
1.0ms	(cbrt 2)
1.0ms	(cbrt 2)

series57.0ms

Counts

4 → 6

Calls

4 calls:

56.0ms	(* 2/3 (* eps eps))
0.0ms	(cbrt 2)
0.0ms	(cbrt 2)
0.0ms	(cbrt 2)

simplify810.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	2002
3	1326
2	301
1	117
0	53

prune316.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.5s	3451×	body	1280	valid
1.2s	2486×	body	640	valid
881.0ms	7785×	body	80	nan
324.0ms	1246×	body	320	valid
102.0ms	630×	body	160	valid
14.0ms	187×	body	80	valid