Details

sample180.0ms

Algorithm

intervals

Results

88.0ms	103×	body	1280	valid
42.0ms	83×	body	640	valid
18.0ms	250×	body	80	nan
12.0ms	39×	body	320	valid
4.0ms	20×	body	160	valid
1.0ms	11×	body	80	valid

simplify11.0ms

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: 58.0b

localize38.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
6.3b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite32.0ms

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))
14.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (- 1 eps) (+ 1 eps))
95.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.1s

Counts

104 → 104

Iterations

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

prune666.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

11.0ms	(* eps (+ 2 (* 2/3 (* eps eps))))
13.0ms	(* 2/3 (* eps eps))

series174.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(* eps (+ 2 (* 2/3 (* eps eps))))
50.0ms	(* 2/3 (* eps eps))

simplify1.0s

Counts

53 → 53

Iterations

Iter	Nodes
done	2000
3	2000
2	1024
1	266
0	81

prune497.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite94.0ms

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:

66.0ms	(* eps (* 2/3 (* eps eps)))
27.0ms	(* 2/3 (* eps eps))

series100.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* eps (* 2/3 (* eps eps)))
46.0ms	(* 2/3 (* eps eps))

simplify1.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	2035
3	2035
2	503
1	160
0	62

prune485.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log (- 1 eps)) (log1p eps))
6.3b	(log (- 1 eps))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
12×	`log-prod` `prod-diff` `add-cube-cbrt`
8×	`pow1`
6×	`associate--l+` `log-pow`
5×	`difference-of-squares`
4×	`log-div` `fma-neg` `distribute-lft-out--`
3×	`flip3--` `add-exp-log` `flip--` `add-log-exp`
2×	`associate--l-` `expm1-log1p-u` `sub-neg` `log1p-def` `add-cbrt-cube` `diff-log` `insert-posit16` `log1p-expm1-u`
1×	`log1p-udef` `rem-log-exp`

Counts

2 → 65

Calls

2 calls:

19.0ms	(- (log (- 1 eps)) (log1p eps))
8.0ms	(log (- 1 eps))

series170.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(- (log (- 1 eps)) (log1p eps))
43.0ms	(log (- 1 eps))

simplify939.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	2004
3	2004
2	739
1	334
0	143

prune457.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.2s	3457×	body	1280	valid
1.3s	2429×	body	640	valid
511.0ms	7967×	body	80	nan
479.0ms	1256×	body	320	valid
111.0ms	633×	body	160	valid
18.0ms	225×	body	80	valid