Details

sample155.0ms

Algorithm

intervals

Results

67.0ms	85×	body	1280	valid
43.0ms	92×	body	640	valid
16.0ms	240×	body	80	nan
12.0ms	44×	body	320	valid
5.0ms	28×	body	160	valid
0.0ms	7×	body	80	valid

simplify37.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

36.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize24.0ms

Local error

Found 2 expressions with local error:

6.9b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite24.0ms

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))
7.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

90.0ms	(log (/ (- 1 eps) (+ 1 eps)))
38.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.1s

Counts

102 → 104

Calls

102 calls:

Slowest

506.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
285.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
240.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
207.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
193.0ms	(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))))

prune926.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.4b	(* eps -2/3)
0.2b	(* (* eps -2/3) eps)
0.0b	(* eps (- (* (* eps -2/3) eps) 2))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`associate-l`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-*r/` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

3 → 75

Calls

3 calls:

Slowest

81.0ms	(* eps (- (* (* eps -2/3) eps) 2))
29.0ms	(* (* eps -2/3) eps)
11.0ms	(* eps -2/3)

series185.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

127.0ms	(* eps (- (* (* eps -2/3) eps) 2))
42.0ms	(* (* eps -2/3) eps)
17.0ms	(* eps -2/3)

simplify2.8s

Counts

48 → 84

Calls

48 calls:

Slowest

573.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
278.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
266.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
265.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
241.0ms	(+ (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (+ (* 2 2) (* (* (* eps -2/3) eps) 2)))

prune763.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.4b	(* eps -2/3)
0.2b	(* (* eps -2/3) eps)
0.1b	(* (* (* eps -2/3) eps) eps)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

Slowest

47.0ms	(* (* (* eps -2/3) eps) eps)
14.0ms	(* (* eps -2/3) eps)
9.0ms	(* eps -2/3)

series104.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

47.0ms	(* (* (* eps -2/3) eps) eps)
30.0ms	(* (* eps -2/3) eps)
27.0ms	(* eps -2/3)

simplify2.7s

Counts

38 → 75

Calls

38 calls:

Slowest

574.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
476.0ms	(* (* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
430.0ms	(* (* (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* (* eps -2/3) eps)) (* (* eps eps) eps))
407.0ms	(* (* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
159.0ms	(* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps))

prune729.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.0s	3334×	body	1280	valid
1.4s	2505×	body	640	valid
935.0ms	1302×	body	320	valid
709.0ms	8060×	body	80	nan
133.0ms	657×	body	160	valid
19.0ms	202×	body	80	valid