Details

sample181.0ms

Algorithm

intervals

Results

98.0ms	120×	body	1280	valid
38.0ms	83×	body	640	valid
18.0ms	263×	body	80	nan
9.0ms	29×	body	320	valid
4.0ms	20×	body	160	valid
0.0ms	4×	body	80	valid

simplify46.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

45.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize16.0ms

Local error

Found 2 expressions with local error:

6.0b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite39.0ms

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

19.0ms	(/ (- 1 eps) (+ 1 eps))
17.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

120.0ms	(log (/ (- 1 eps) (+ 1 eps)))
23.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.1s

Counts

102 → 104

Calls

102 calls:

Slowest

447.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
225.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
216.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
199.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
184.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))

prune846.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.4b	(* eps -2/3)
0.1b	(* (* eps -2/3) eps)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 42

Calls

2 calls:

Slowest

15.0ms	(* (* eps -2/3) eps)
5.0ms	(* eps -2/3)

series80.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

53.0ms	(* (* eps -2/3) eps)
27.0ms	(* eps -2/3)

simplify1.1s

Counts

23 → 48

Calls

23 calls:

Slowest

551.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
185.0ms	(* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3))
140.0ms	(* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps))
26.0ms	(* -2/3 (pow eps 2))
24.0ms	(* (* eps -2/3) eps)

prune488.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

6.0b	(log (/ (- 1 eps) (+ 1 eps)))
6.0b	(log (/ (- 1 eps) (+ 1 eps)))
6.0b	(log (/ (- 1 eps) (+ 1 eps)))
0.1b	(cbrt (log (/ (- 1 eps) (+ 1 eps))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
90×	`log-prod`
74×	`add-sqr-sqrt`
72×	`times-frac`
38×	`add-cube-cbrt`
24×	`difference-of-squares`
18×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `expm1-log1p-u` `add-cbrt-cube` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 147

Calls

4 calls:

Slowest

9.0ms	(log (/ (- 1 eps) (+ 1 eps)))
8.0ms	(log (/ (- 1 eps) (+ 1 eps)))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))
1.0ms	(cbrt (log (/ (- 1 eps) (+ 1 eps))))

series557.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

248.0ms	(cbrt (log (/ (- 1 eps) (+ 1 eps))))
116.0ms	(log (/ (- 1 eps) (+ 1 eps)))
111.0ms	(log (/ (- 1 eps) (+ 1 eps)))
82.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify7.4s

Counts

115 → 159

Calls

115 calls:

Slowest

595.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
266.0ms	(+ (* 22/405 (* (pow eps 4) (exp (* 1/3 (+ (log -2) (log eps)))))) (+ (* 1/9 (* (pow eps 2) (exp (* 1/3 (+ (log -2) (log eps)))))) (exp (* 1/3 (+ (log -2) (log eps))))))
247.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
245.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
227.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.0s	3455×	body	1280	valid
1.3s	2493×	body	640	valid
983.0ms	8123×	body	80	nan
433.0ms	1237×	body	320	valid
147.0ms	617×	body	160	valid
18.0ms	198×	body	80	valid