Details

sample238.0ms

Algorithm

intervals

Results

108.0ms	104×	body	1280	valid
48.0ms	74×	body	640	valid
40.0ms	231×	body	80	nan
21.0ms	50×	body	320	valid
5.0ms	18×	body	160	valid
1.0ms	10×	body	80	valid

simplify139.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
27×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`log-div` `distribute-lft-out`
12×	`associate-/r*`
10×	`associate-/l*` `distribute-lft-out--`
7×	`add-exp-log`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l/`
3×	`pow1` `clear-num` `log-rec`
2×	`frac-2neg` `flip3-+` `flip3--` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`
1×	`cbrt-undiv` `log-pow`

Counts

2 → 110

Calls

2 calls:

34.0ms	(/ (+ x 1) (- 1 x))
27.0ms	(log (/ (+ x 1) (- 1 x)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (+ x 1) (- 1 x))
97.0ms	(log (/ (+ x 1) (- 1 x)))

simplify2.1s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
3	2994
2	968
1	395
0	183

prune467.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 3 expressions with local error:

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

rewrite383.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`associate-r`
18×	`*-un-lft-identity`
17×	`associate-l`
15×	`add-exp-log`
14×	`add-cube-cbrt`
12×	`pow1` `add-cbrt-cube`
11×	`unswap-sqr`
7×	`prod-exp`
5×	`pow-prod-down` `*-commutative` `cbrt-unprod`
4×	`unpow-prod-down` `swap-sqr`
3×	`insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `associate-*r/` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Counts

3 → 92

Calls

3 calls:

326.0ms	(* x (+ (* 2/3 (* x x)) 2))
15.0ms	(* (pow x 5) 2/5)
38.0ms	(* 2/3 (* x x))

series252.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(* x (+ (* 2/3 (* x x)) 2))
80.0ms	(* (pow x 5) 2/5)
47.0ms	(* 2/3 (* x x))

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1413
1	417
0	142

prune417.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (pow x 5) 2/5)
0.1b	(* (* 2/3 (* x x)) x)
0.2b	(* 2/3 (* x x))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
47×	`associate-l`
42×	`associate-r`
29×	`unswap-sqr`
22×	`add-exp-log`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`pow1` `add-cbrt-cube`
12×	`prod-exp`
10×	`pow-prod-down` `cbrt-unprod`
9×	`swap-sqr` `*-commutative`
4×	`unpow-prod-down`
3×	`insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 120

Calls

3 calls:

27.0ms	(* (pow x 5) 2/5)
156.0ms	(* (* 2/3 (* x x)) x)
32.0ms	(* 2/3 (* x x))

series190.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(* (pow x 5) 2/5)
51.0ms	(* (* 2/3 (* x x)) x)
35.0ms	(* 2/3 (* x x))

simplify2.8s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
3	3715
2	1169
1	410
0	144

prune497.0ms

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

sample7.9s

Algorithm

intervals

Results

4.1s	3395×	body	1280	valid
1.8s	2455×	body	640	valid
877.0ms	7614×	body	80	nan
615.0ms	1270×	body	320	valid
193.0ms	663×	body	160	valid
27.0ms	217×	body	80	valid