Details

sample189.0ms

Algorithm

intervals

Results

102.0ms	120×	body	1280	valid
40.0ms	81×	body	640	valid
19.0ms	257×	body	80	nan
10.0ms	31×	body	320	valid
3.0ms	15×	body	160	valid
1.0ms	9×	body	80	valid

simplify60.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:

Slowest

31.0ms	(/ (- 1 eps) (+ 1 eps))
9.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

104.0ms	(log (/ (- 1 eps) (+ 1 eps)))
34.0ms	(/ (- 1 eps) (+ 1 eps))

simplify985.0ms

Counts: 104 → 104

prune618.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
13×	`add-sqr-sqrt` `add-exp-log`
10×	`add-cbrt-cube`
8×	`associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `prod-exp`
5×	`pow-prod-up`
4×	`unpow-prod-down` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `fma-udef`

Counts

3 → 66

Calls

3 calls:

Slowest

28.0ms	(* eps (* eps eps))
16.0ms	(* -2/5 (pow eps 5))
0.0ms	(fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5))))

series212.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

97.0ms	(* -2/5 (pow eps 5))
79.0ms	(fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5))))
35.0ms	(* eps (* eps eps))

simplify4.0s

Counts: 75 → 75

prune633.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (- 1 eps))
3.6b	(log (/ (- 1 eps) (- 1 (* eps eps))))
0.0b	(/ (- 1 eps) (- 1 (* eps eps)))
0.0b	(+ (log (/ (- 1 eps) (- 1 (* eps eps)))) (log (- 1 eps)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

121×	`*-un-lft-identity`
117×	`add-sqr-sqrt`
90×	`times-frac`
84×	`log-prod`
74×	`difference-of-squares`
44×	`add-cube-cbrt`
36×	`associate-+l+`
18×	`distribute-lft-out--`
11×	`pow1`
10×	`add-exp-log`
7×	`log-pow`
6×	`log-div` `associate-+r+` `flip3--` `add-cbrt-cube` `associate-/r/` `flip--` `associate-/l*`
5×	`associate-/r*`
4×	`expm1-log1p-u` `fma-def` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`rem-log-exp` `div-inv`
2×	`associate-+r-` `log1p-def` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `div-sub` `associate-+l-` `flip-+`

Counts

4 → 200

Calls

4 calls:

Slowest

33.0ms	(/ (- 1 eps) (- 1 (* eps eps)))
15.0ms	(+ (log (/ (- 1 eps) (- 1 (* eps eps)))) (log (- 1 eps)))
11.0ms	(log (/ (- 1 eps) (- 1 (* eps eps))))
5.0ms	(log (- 1 eps))

series369.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

200.0ms	(+ (log (/ (- 1 eps) (- 1 (* eps eps)))) (log (- 1 eps)))
87.0ms	(log (/ (- 1 eps) (- 1 (* eps eps))))
45.0ms	(/ (- 1 eps) (- 1 (* eps eps)))
38.0ms	(log (- 1 eps))

simplify1.0s

Counts: 212 → 212

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (/ (- 1 eps) (- 1 (* eps eps))))
2.8b	(log (- 1 (* eps eps)))
0.0b	(- (log (- 1 (* eps eps))) (log1p eps))
0.0b	(/ (- 1 eps) (- 1 (* eps eps)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
89×	`add-sqr-sqrt`
60×	`times-frac`
53×	`difference-of-squares`
46×	`log-prod`
39×	`add-cube-cbrt`
13×	`distribute-lft-out--`
12×	`prod-diff`
11×	`pow1`
10×	`add-exp-log`
7×	`log-pow`
6×	`flip3--` `add-cbrt-cube` `flip--` `associate-/l*`
5×	`log-div` `associate-/r*` `associate--l+` `add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`rem-log-exp`
2×	`associate--l-` `sub-neg` `log1p-def` `diff-log` `div-exp` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `clear-num` `frac-2neg` `div-sub`

Counts

4 → 174

Calls

4 calls:

Slowest

28.0ms	(/ (- 1 eps) (- 1 (* eps eps)))
20.0ms	(- (log (- 1 (* eps eps))) (log1p eps))
11.0ms	(log (/ (- 1 eps) (- 1 (* eps eps))))
7.0ms	(log (- 1 (* eps eps)))

series340.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

147.0ms	(log (- 1 (* eps eps)))
76.0ms	(- (log (- 1 (* eps eps))) (log1p eps))
67.0ms	(log (/ (- 1 eps) (- 1 (* eps eps))))
50.0ms	(/ (- 1 eps) (- 1 (* eps eps)))

simplify815.0ms

Counts: 186 → 186

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes39.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.6s	3427×	body	1280	valid
1.1s	2522×	body	640	valid
831.0ms	7913×	body	80	nan
361.0ms	1263×	body	320	valid
117.0ms	582×	body	160	valid
15.0ms	206×	body	80	valid