Details

sample137.0ms

Algorithm

intervals

Results

67.0ms	111×	body	1280	valid
31.0ms	83×	body	640	valid
14.0ms	284×	body	80	nan
9.0ms	32×	body	320	valid
3.0ms	20×	body	160	valid
1.0ms	10×	body	80	valid

simplify22.0ms

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
5.5b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite23.0ms

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:

16.0ms	(/ (- 1 eps) (+ 1 eps))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series144.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- 1 eps) (+ 1 eps))
105.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.2s

Counts

104 → 104

Iterations

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

prune341.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite31.0ms

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:

11.0ms	(* eps (+ 2 (* 2/3 (* eps eps))))
0.0ms	(fma (pow eps 5) 2/5 (* eps (+ 2 (* 2/3 (* eps eps)))))
19.0ms	(* 2/3 (* eps eps))

series282.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(* eps (+ 2 (* 2/3 (* eps eps))))
92.0ms	(fma (pow eps 5) 2/5 (* eps (+ 2 (* 2/3 (* eps eps)))))
47.0ms	(* 2/3 (* eps eps))

simplify1.0s

Counts

67 → 67

Iterations

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

prune317.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

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` `associate-l`
5×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`fma-udef` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

0.0ms	(fma (pow eps 5) 2/5 (+ (* eps 2) (* eps (* 2/3 (* eps eps)))))
39.0ms	(* eps (* 2/3 (* eps eps)))
23.0ms	(* 2/3 (* eps eps))

series206.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(fma (pow eps 5) 2/5 (+ (* eps 2) (* eps (* 2/3 (* eps eps)))))
57.0ms	(* eps (* 2/3 (* eps eps)))
59.0ms	(* 2/3 (* eps eps))

simplify1.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	2000
3	2000
2	578
1	202
0	85

prune292.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

133×	`pow1`
75×	`pow-prod-down`
55×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
9×	`pow-sqr` `pow-prod-up`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 129

Calls

4 calls:

90.0ms	(* (* 2/3 (* eps eps)) (* 2/3 (* eps eps)))
14.0ms	(* 2/3 (* eps eps))
13.0ms	(* 2/3 (* eps eps))
25.0ms	(* 2/3 (* eps eps))

series155.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* 2/3 (* eps eps)) (* 2/3 (* eps eps)))
41.0ms	(* 2/3 (* eps eps))
37.0ms	(* 2/3 (* eps eps))
32.0ms	(* 2/3 (* eps eps))

simplify874.0ms

Counts

141 → 141

Iterations

Iter	Nodes
done	2006
3	2006
2	838
1	210
0	74

prune704.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes38.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.4s	3450×	body	1280	valid
1.3s	2463×	body	640	valid
521.0ms	8057×	body	80	nan
365.0ms	1241×	body	320	valid
138.0ms	647×	body	160	valid
14.0ms	199×	body	80	valid