Details

sample228.0ms

Algorithm

intervals

Results

116.0ms	104×	body	1280	valid
46.0ms	74×	body	640	valid
23.0ms	231×	body	80	nan
21.0ms	50×	body	320	valid
4.0ms	18×	body	160	valid
1.0ms	10×	body	80	valid

simplify211.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	197
8	197
7	194
6	152
5	136
4	101
3	61
2	29
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)))

rewrite70.0ms

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×	`expm1-log1p-u` `frac-2neg` `flip3-+` `flip3--` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
1×	`cbrt-undiv` `log-pow`

Counts

2 → 114

Calls

2 calls:

33.0ms	(/ (+ x 1) (- 1 x))
30.0ms	(log (/ (+ x 1) (- 1 x)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (+ x 1) (- 1 x))
86.0ms	(log (/ (+ x 1) (- 1 x)))

simplify2.7s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
3	4071
2	1101
1	418
0	187

prune346.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (fma 2/3 (* x x) 2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

11.0ms

(* x (fma 2/3 (* x x) 2))

series137.0ms

Counts

1 → 3

Calls

1 calls:

137.0ms

(* x (fma 2/3 (* x x) 2))

simplify1.6s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	1123
2	268
1	96
0	44

prune130.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 2 expressions with local error:

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

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

64×	`associate-r`
57×	`add-sqr-sqrt`
26×	`unswap-sqr`
16×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
15×	`associate-l`
9×	`swap-sqr` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-commutative`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 97

Calls

2 calls:

138.0ms	(* x (* 2/3 (* x x)))
51.0ms	(* 2/3 (* x x))

series87.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* x (* 2/3 (* x x)))
39.0ms	(* 2/3 (* x x))

simplify2.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5007
3	3483
2	1167
1	319
0	111

prune389.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample7.3s

Algorithm

intervals

Results

3.5s	3395×	body	1280	valid
2.0s	2455×	body	640	valid
788.0ms	7614×	body	80	nan
570.0ms	1270×	body	320	valid
159.0ms	663×	body	160	valid
26.0ms	217×	body	80	valid