Details

sample267.0ms

Algorithm

intervals

Results

118.0ms	104×	body	1280	valid
58.0ms	82×	body	640	valid
46.0ms	286×	body	80	nan
23.0ms	44×	body	320	valid
5.0ms	18×	body	160	valid
1.0ms	8×	body	80	valid

simplify242.0ms

Counts

1 → 1

Iterations

Iter	Nodes
10	184
9	184
8	180
7	178
6	146
5	124
4	89
3	61
2	29
1	21
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
5.2b	(log (/ (+ x 1) (- 1 x)))

rewrite56.0ms

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-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 97

Calls

2 calls:

38.0ms	(/ (+ x 1) (- 1 x))
15.0ms	(log (/ (+ x 1) (- 1 x)))

series146.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (+ x 1) (- 1 x))
121.0ms	(log (/ (+ x 1) (- 1 x)))

simplify989.0ms

Counts

103 → 103

Iterations

Iter	Nodes
3	2171
2	863
1	373
0	166

prune677.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2)))
0.0b	(* x (+ (* x (* 2/3 x)) 2))
0.1b	(* x (* 2/3 x))
0.3b	(* 2/3 x)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`associate-r`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`associate-*r/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `fma-udef`

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2)))
55.0ms	(* x (+ (* x (* 2/3 x)) 2))
25.0ms	(* x (* 2/3 x))
11.0ms	(* 2/3 x)

series290.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2)))
128.0ms	(* x (+ (* x (* 2/3 x)) 2))
38.0ms	(* x (* 2/3 x))
16.0ms	(* 2/3 x)

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
3	3738
2	816
1	270
0	112

prune995.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`

Counts

4 → 84

Calls

4 calls:

13.0ms	(* x (* 2/3 x))
5.0ms	(* 2/3 x)
9.0ms	(* 2/3 x)
5.0ms	(* 2/3 x)

series126.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* x (* 2/3 x))
29.0ms	(* 2/3 x)
28.0ms	(* 2/3 x)
17.0ms	(* 2/3 x)

simplify1.8s

Counts

96 → 96

Iterations

Iter	Nodes
4	2260
3	765
2	274
1	114
0	54

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

5.3b	(log (- 1 x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`log-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `log-div` `log1p-def` `add-exp-log` `add-cube-cbrt` `difference-of-squares`
1×	`expm1-log1p-u` `sub-neg` `flip3--` `add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

8.0ms

(log (- 1 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(log (- 1 x))

simplify5.4s

Counts

25 → 25

Iterations

Iter	Nodes
5	5502
4	1671
3	606
2	259
1	135
0	68

prune163.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample7.7s

Algorithm

intervals

Results

4.1s	3469×	body	1280	valid
1.6s	2437×	body	640	valid
965.0ms	7862×	body	80	nan
494.0ms	1241×	body	320	valid
183.0ms	641×	body	160	valid
26.0ms	212×	body	80	valid