Details

sample152.0ms

Algorithm

intervals

Results

84.0ms	116×	body	1280	valid
27.0ms	77×	body	640	valid
15.0ms	292×	body	80	nan
8.0ms	38×	body	320	valid
3.0ms	24×	body	160	valid
0.0ms	1×	body	80	valid

simplify46.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

46.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.8b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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

31.0ms	(/ (- 1 eps) (+ 1 eps))
11.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

101.0ms	(log (/ (- 1 eps) (+ 1 eps)))
28.0ms	(/ (- 1 eps) (+ 1 eps))

simplify7.4s

Counts

159 → 104

Calls

159 calls:

Slowest

552.0ms	(* (* (log (/ (- 1 eps) (+ 1 eps))) (log (/ (- 1 eps) (+ 1 eps)))) (log (/ (- 1 eps) (+ 1 eps))))
479.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
328.0ms	(* (* (/ (- 1 eps) (+ 1 eps)) (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)))
257.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
230.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))

prune577.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite137.0ms

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

110.0ms	(* eps (- (* (* eps -2/3) eps) 2))
21.0ms	(* (* eps -2/3) eps)
5.0ms	(* eps -2/3)

series205.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

132.0ms	(* eps (- (* (* eps -2/3) eps) 2))
46.0ms	(* (* eps -2/3) eps)
26.0ms	(* eps -2/3)

simplify6.3s

Counts

93 → 84

Calls

93 calls:

Slowest

749.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
459.0ms	(* (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* (* eps -2/3) eps))
309.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
307.0ms	(* eps (- (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* 2 2)))
300.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))

prune727.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

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

76.0ms	(* (* (* eps -2/3) eps) eps)
18.0ms	(* (* eps -2/3) eps)
8.0ms	(* eps -2/3)

series106.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

49.0ms	(* (* (* eps -2/3) eps) eps)
37.0ms	(* (* eps -2/3) eps)
20.0ms	(* eps -2/3)

simplify5.2s

Counts

73 → 75

Calls

73 calls:

Slowest

616.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
531.0ms	(* (* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
479.0ms	(* (* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
479.0ms	(* (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* (* eps -2/3) eps))
393.0ms	(* (* (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* (* eps -2/3) eps)) (* (* eps eps) eps))

prune707.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.0s	3496×	body	1280	valid
1.3s	2404×	body	640	valid
743.0ms	1215×	body	320	valid
682.0ms	7694×	body	80	nan
123.0ms	656×	body	160	valid
19.0ms	229×	body	80	valid