Details

sample220.0ms

Algorithm

intervals

Results

116.0ms	104×	body	1280	valid
44.0ms	74×	body	640	valid
21.0ms	231×	body	80	nan
18.0ms	50×	body	320	valid
4.0ms	18×	body	160	valid
1.0ms	10×	body	80	valid

simplify157.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	201
8	201
7	198
6	165
5	150
4	100
3	59
2	27
1	21
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
6.4b	(log (/ (+ x 1) (- 1 x)))

rewrite41.0ms

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

Counts

2 → 93

Calls

2 calls:

29.0ms	(/ (+ x 1) (- 1 x))
10.0ms	(log (/ (+ x 1) (- 1 x)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ x 1) (- 1 x))
98.0ms	(log (/ (+ x 1) (- 1 x)))

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	2928
2	921
1	366
0	162

prune362.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

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-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 87

Calls

4 calls:

58.0ms	(* x (+ (* (* 2/3 x) x) 2))
9.0ms	(* 2/5 (pow x 5))
23.0ms	(* (* 2/3 x) x)
17.0ms	(* 2/3 x)

series268.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* x (+ (* (* 2/3 x) x) 2))
77.0ms	(* 2/5 (pow x 5))
33.0ms	(* (* 2/3 x) x)
24.0ms	(* 2/3 x)

simplify1.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1178
1	365
0	133

prune423.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 68

Calls

3 calls:

26.0ms	(* 2/5 (pow x 5))
47.0ms	(* (* x x) (* x 2/3))
11.0ms	(* x 2/3)

series127.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* 2/5 (pow x 5))
42.0ms	(* (* x x) (* x 2/3))
24.0ms	(* x 2/3)

simplify4.7s

Counts

77 → 77

Iterations

Iter	Nodes
done	5023
3	4886
2	920
1	261
0	104

prune351.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.5s	3395×	body	1280	valid
1.6s	2455×	body	640	valid
934.0ms	1270×	body	320	valid
894.0ms	7614×	body	80	nan
187.0ms	663×	body	160	valid
25.0ms	217×	body	80	valid