Details

sample186.0ms

Algorithm

intervals

Results

98.0ms	114×	body	1280	valid
40.0ms	78×	body	640	valid
17.0ms	229×	body	80	nan
12.0ms	38×	body	320	valid
4.0ms	19×	body	160	valid
1.0ms	7×	body	80	valid

simplify50.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
5.4b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite49.0ms

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:

33.0ms	(/ (- 1 eps) (+ 1 eps))
13.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series173.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (- 1 eps) (+ 1 eps))
134.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	2001
3	2001
2	973
1	394
0	162

prune394.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(* eps (+ 2 (* 2/3 (* eps eps))))
0.0b	(fma (pow eps 5) 2/5 (* eps (+ 2 (* 2/3 (* eps eps)))))
0.2b	(* 2/3 (* eps eps))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

21.0ms	(* eps (+ 2 (* 2/3 (* eps eps))))
0.0ms	(fma (pow eps 5) 2/5 (* eps (+ 2 (* 2/3 (* eps eps)))))
28.0ms	(* 2/3 (* eps eps))

series329.0ms

Counts

3 → 9

Calls

3 calls:

172.0ms	(* eps (+ 2 (* 2/3 (* eps eps))))
118.0ms	(fma (pow eps 5) 2/5 (* eps (+ 2 (* 2/3 (* eps eps)))))
38.0ms	(* 2/3 (* eps eps))

simplify1.2s

Counts

67 → 67

Iterations

Iter	Nodes
done	2000
3	2000
2	1008
1	298
0	101

prune420.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (fma 2/3 (* eps eps) 2) eps (* (pow eps 5) 2/5))
0.1b	(* (pow eps 5) 2/5)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`associate-l` `add-exp-log`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-r` `prod-exp` `unswap-sqr`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (fma 2/3 (* eps eps) 2) eps (* (pow eps 5) 2/5))
8.0ms	(* (pow eps 5) 2/5)

series163.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(fma (fma 2/3 (* eps eps) 2) eps (* (pow eps 5) 2/5))
84.0ms	(* (pow eps 5) 2/5)

simplify1.5s

Counts

45 → 45

Iterations

Iter	Nodes
done	2005
4	2005
3	1325
2	364
1	153
0	74

prune281.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (pow eps 5) 2/5 (+ (* 2 eps) (* (* 2/3 (* eps eps)) eps)))
0.1b	(* (* 2/3 (* eps eps)) eps)
0.2b	(* 2/3 (* eps eps))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

0.0ms	(fma (pow eps 5) 2/5 (+ (* 2 eps) (* (* 2/3 (* eps eps)) eps)))
81.0ms	(* (* 2/3 (* eps eps)) eps)
27.0ms	(* 2/3 (* eps eps))

series207.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(fma (pow eps 5) 2/5 (+ (* 2 eps) (* (* 2/3 (* eps eps)) eps)))
70.0ms	(* (* 2/3 (* eps eps)) eps)
53.0ms	(* 2/3 (* eps eps))

simplify1.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	2004
3	2004
2	634
1	215
0	86

prune269.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample6.6s

Algorithm

intervals

Results

3.6s	3421×	body	1280	valid
1.5s	2413×	body	640	valid
664.0ms	8141×	body	80	nan
438.0ms	1287×	body	320	valid
171.0ms	672×	body	160	valid
19.0ms	207×	body	80	valid