Details

sample174.0ms

Algorithm

intervals

Results

83.0ms	116×	body	1280	valid
33.0ms	272×	body	80	nan
31.0ms	75×	body	640	valid
10.0ms	37×	body	320	valid
4.0ms	24×	body	160	valid
0.0ms	4×	body	80	valid

simplify45.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize10.0ms

Local error

Found 2 expressions with local error:

6.6b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite31.0ms

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

23.0ms	(/ (- 1 eps) (+ 1 eps))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

114.0ms	(log (/ (- 1 eps) (+ 1 eps)))
42.0ms	(/ (- 1 eps) (+ 1 eps))

simplify1.2s

Counts: 104 → 104

prune525.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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

18.0ms	(* 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

83.0ms	(* -2/5 (pow eps 5))
78.0ms	(fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5))))
51.0ms	(* eps (* eps eps))

simplify3.6s

Counts: 75 → 75

prune704.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

6.4b	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
6.4b	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
0.0b	(sqrt (/ (- 1 eps) (+ 1 eps)))
0.0b	(sqrt (/ (- 1 eps) (+ 1 eps)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

146×	`*-un-lft-identity`
120×	`sqrt-prod`
104×	`add-sqr-sqrt`
98×	`times-frac`
66×	`log-prod`
50×	`add-cube-cbrt`
32×	`difference-of-squares`
24×	`distribute-lft-out`
16×	`distribute-lft-out--`
10×	`pow1`
8×	`associate-/r/`
6×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `sqrt-div` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`log-div` `rem-log-exp`

Counts

4 → 186

Calls

4 calls:

Slowest

17.0ms	(sqrt (/ (- 1 eps) (+ 1 eps)))
17.0ms	(sqrt (/ (- 1 eps) (+ 1 eps)))
12.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
11.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))

series415.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

143.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
137.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
81.0ms	(sqrt (/ (- 1 eps) (+ 1 eps)))
54.0ms	(sqrt (/ (- 1 eps) (+ 1 eps)))

simplify1.1s

Counts: 198 → 198

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.0s	3397×	body	1280	valid
1.3s	2502×	body	640	valid
587.0ms	8078×	body	80	nan
366.0ms	1229×	body	320	valid
116.0ms	669×	body	160	valid
16.0ms	203×	body	80	valid