Details

sample95.0ms

Algorithm

intervals

Results

49.0ms	109×	body	1280	valid
22.0ms	89×	body	640	valid
6.0ms	234×	body	80	nan
5.0ms	35×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	10×	body	80	valid

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	24	12
3	39	12
4	56	12
5	78	12
6	93	12
7	101	12
done	101	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
3.8b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

11.0ms	(/ (+ 1.0 x) (- 1.0 x))
5.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (+ 1.0 x) (- 1.0 x))
120.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.8s

Counts

88 → 88

Iterations

Useful iterations: 3 (614.0ms)

Iter	Nodes	Cost
0	142	1276
1	316	1221
2	869	1150
3	3593	1108
done	5000	1108

prune184.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

28.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify883.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (321.0ms)

Iter	Nodes	Cost
0	220	1482
1	527	1293
2	2304	1087
done	5001	1087

prune291.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
3.8b	(log (+ 1.0 x))
3.8b	(log (- 1.0 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`log-prod`
11×	`add-sqr-sqrt`
10×	`pow1`
8×	`distribute-lft-out`
7×	`add-cube-cbrt` `log-pow`
6×	`log-div`
5×	`add-exp-log` `associate-+r+` `distribute-neg-in`
4×	`associate-+l+` `distribute-rgt-neg-in` `add-log-exp`
3×	`flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l-` `rem-log-exp` `sum-log` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3--` `unsub-neg` `neg-log` `flip--`

Counts

3 → 63

Calls

3 calls:

13.0ms	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
2.0ms	(log (+ 1.0 x))
2.0ms	(log (- 1.0 x))

series350.0ms

Counts

3 → 9

Calls

3 calls:

261.0ms	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
46.0ms	(log (+ 1.0 x))
42.0ms	(log (- 1.0 x))

simplify1.4s

Counts

72 → 72

Iterations

Useful iterations: 3 (510.0ms)

Iter	Nodes	Cost
0	146	821
1	333	754
2	903	681
3	3384	676
done	5000	676

prune133.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))) (* (pow (/ x 1.0) 3) 2/3))
0.1b	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
0.2b	(* (pow (/ x 1.0) 3) 2/3)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
78×	`times-frac`
63×	`unpow-prod-down`
56×	`associate-r`
49×	`add-cube-cbrt` `*-un-lft-identity`
35×	`associate-l`
34×	`add-exp-log`
22×	`sqr-pow`
16×	`unswap-sqr`
15×	`cube-prod`
14×	`prod-exp`
10×	`div-exp` `add-cbrt-cube`
8×	`pow-exp` `add-log-exp`
7×	`pow-to-exp`
5×	`pow1`
3×	`cube-div` `associate-*l/` `sum-log` `cbrt-unprod` `div-inv`
2×	`flip3-+` `frac-add` `*-commutative` `flip-+`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `associate-+l+` `unpow3` `associate-*r/` `pow-prod-down`

Counts

3 → 158

Calls

3 calls:

11.0ms	(+ (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))) (* (pow (/ x 1.0) 3) 2/3))
25.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
18.0ms	(* (pow (/ x 1.0) 3) 2/3)

series267.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))) (* (pow (/ x 1.0) 3) 2/3))
102.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
78.0ms	(* (pow (/ x 1.0) 3) 2/3)

simplify1.1s

Counts

167 → 167

Iterations

Useful iterations: 2 (358.0ms)

Iter	Nodes	Cost
0	317	2452
1	834	2169
2	3246	2068
done	5001	2068

prune478.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	25
1	25	25
done	25	25

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3448×	body	1280	valid
617.0ms	2511×	body	640	valid
225.0ms	8035×	body	80	nan
174.0ms	1194×	body	320	valid
56.0ms	631×	body	160	valid
9.0ms	216×	body	80	valid