Details

sample171.0ms

Algorithm

intervals

Results

98.0ms	115×	body	1280	valid
32.0ms	83×	body	640	valid
15.0ms	264×	body	80	nan
9.0ms	35×	body	320	valid
3.0ms	20×	body	160	valid
0.0ms	3×	body	80	valid

simplify46.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize10.0ms

Local error

Found 2 expressions with local error:

5.7b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 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:

Slowest

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

series151.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

125.0ms	(log (/ (- 1 eps) (+ 1 eps)))
26.0ms	(/ (- 1 eps) (+ 1 eps))

simplify910.0ms

Counts: 104 → 104

prune521.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

Slowest

28.0ms	(* eps (* eps eps))
18.0ms	(* (pow eps 5) -2/5)

series123.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

81.0ms	(* (pow eps 5) -2/5)
42.0ms	(* eps (* eps eps))

simplify3.4s

Counts: 61 → 61

prune572.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

5.7b	(log (- 1 eps))
5.7b	(log (+ 1 eps))
0.0b	(- (log (- 1 eps)) (log (+ 1 eps)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

Slowest

19.0ms	(- (log (- 1 eps)) (log (+ 1 eps)))
4.0ms	(log (- 1 eps))
3.0ms	(log (+ 1 eps))

series201.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

139.0ms	(- (log (- 1 eps)) (log (+ 1 eps)))
32.0ms	(log (- 1 eps))
29.0ms	(log (+ 1 eps))

simplify948.0ms

Counts: 104 → 104

prune465.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

4.6b	(log (+ 1 (sqrt eps)))
4.6b	(log (- 1 (sqrt eps)))
3.7b	(+ (log (+ 1 (sqrt eps))) (- (log (- 1 (sqrt eps))) (log1p eps)))
0.0b	(- (log (- 1 (sqrt eps))) (log1p eps))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
50×	`add-sqr-sqrt`
37×	`log-prod`
25×	`add-cube-cbrt`
24×	`prod-diff`
23×	`associate-+r+`
20×	`pow1`
18×	`associate--l+`
16×	`log-pow`
13×	`difference-of-squares`
12×	`distribute-lft-out--`
11×	`sqrt-prod`
10×	`distribute-lft-out`
8×	`log-div`
7×	`add-log-exp`
6×	`add-exp-log`
5×	`associate-+l+`
4×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `fma-neg` `diff-log` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `sub-neg` `log1p-def` `flip3-+` `flip3--` `flip-+` `flip--`
2×	`associate--l-` `log1p-udef` `rem-log-exp` `associate-+l-`
1×	`+-commutative` `associate-+r-`

Counts

4 → 148

Calls

4 calls:

Slowest

30.0ms	(+ (log (+ 1 (sqrt eps))) (- (log (- 1 (sqrt eps))) (log1p eps)))
11.0ms	(log (- 1 (sqrt eps)))
11.0ms	(- (log (- 1 (sqrt eps))) (log1p eps))
8.0ms	(log (+ 1 (sqrt eps)))

series712.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

250.0ms	(+ (log (+ 1 (sqrt eps))) (- (log (- 1 (sqrt eps))) (log1p eps)))
188.0ms	(- (log (- 1 (sqrt eps))) (log1p eps))
161.0ms	(log (- 1 (sqrt eps)))
112.0ms	(log (+ 1 (sqrt eps)))

simplify1.4s

Counts: 160 → 160

prune949.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.7s	3347×	body	1280	valid
1.3s	2533×	body	640	valid
813.0ms	1262×	body	320	valid
659.0ms	8129×	body	80	nan
141.0ms	644×	body	160	valid
19.0ms	214×	body	80	valid