Details

sample165.0ms

Algorithm

intervals

Results

89.0ms	116×	body	1280	valid
32.0ms	77×	body	640	valid
18.0ms	292×	body	80	nan
10.0ms	38×	body	320	valid
4.0ms	24×	body	160	valid
0.0ms	1×	body	80	valid

simplify40.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

40.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.8b

localize41.0ms

Local error

Found 2 expressions with local error:

6.1b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite44.0ms

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×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 94

Calls

2 calls:

Slowest

28.0ms	(/ (- 1 eps) (+ 1 eps))
12.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series197.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

159.0ms	(log (/ (- 1 eps) (+ 1 eps)))
37.0ms	(/ (- 1 eps) (+ 1 eps))

simplify7.3s

Counts

155 → 100

Calls

155 calls:

Slowest

443.0ms	(* (* (log (/ (- 1 eps) (+ 1 eps))) (log (/ (- 1 eps) (+ 1 eps)))) (log (/ (- 1 eps) (+ 1 eps))))
417.0ms	(* (+ 1 eps) (+ (* 1 1) (+ (* eps eps) (* 1 eps))))
377.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
260.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
259.0ms	(* (* (/ (- 1 eps) (+ 1 eps)) (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)))

prune864.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 eps)
0.1b	(* (* 2/3 eps) eps)
0.1b	(* -2/5 (pow eps 5))
0.0b	(* (+ (* (* 2/3 eps) eps) 2) eps)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*l/` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 85

Calls

4 calls:

Slowest

55.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
13.0ms	(* (* 2/3 eps) eps)
8.0ms	(* -2/5 (pow eps 5))
8.0ms	(* 2/3 eps)

series289.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
92.0ms	(* -2/5 (pow eps 5))
36.0ms	(* (* 2/3 eps) eps)
21.0ms	(* 2/3 eps)

simplify8.0s

Counts

98 → 97

Calls

98 calls:

Slowest

658.0ms	(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))
601.0ms	(* -2/5 (pow (* (cbrt eps) (cbrt eps)) 5))
509.0ms	(* (cbrt (* -2/5 (pow eps 5))) (cbrt (* -2/5 (pow eps 5))))
448.0ms	(* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps))
355.0ms	(* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)

prune821.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 eps)
0.3b	(* 2/3 eps)
0.3b	(* 2/3 eps)
0.1b	(* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

124×	`pow1`
69×	`pow-prod-down`
46×	`add-cbrt-cube` `add-exp-log`
30×	`prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
9×	`pow-sqr` `pow-prod-up`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 118

Calls

4 calls:

Slowest

87.0ms	(* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps))
10.0ms	(* 2/3 eps)
10.0ms	(* 2/3 eps)
10.0ms	(* 2/3 eps)

series156.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps))
30.0ms	(* 2/3 eps)
28.0ms	(* 2/3 eps)
27.0ms	(* 2/3 eps)

simplify8.3s

Counts

129 → 130

Calls

129 calls:

Slowest

605.0ms	(* (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)))
357.0ms	(* (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)) (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)))
334.0ms	(* (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)))
319.0ms	(* (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)))
301.0ms	(* (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)))

prune1.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.9s	3496×	body	1280	valid
1.2s	2404×	body	640	valid
673.0ms	7694×	body	80	nan
419.0ms	229×	body	80	valid
355.0ms	1215×	body	320	valid
121.0ms	656×	body	160	valid