Details

sample244.0ms

Algorithm

intervals

Results

108.0ms	104×	body	1280	valid
71.0ms	74×	body	640	valid
23.0ms	231×	body	80	nan
21.0ms	50×	body	320	valid
5.0ms	18×	body	160	valid
1.0ms	10×	body	80	valid

simplify207.0ms

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

prune10.0ms

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)))

rewrite28.0ms

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:

20.0ms	(/ (+ x 1) (- 1 x))
7.0ms	(log (/ (+ x 1) (- 1 x)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ x 1) (- 1 x))
92.0ms	(log (/ (+ x 1) (- 1 x)))

simplify2.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	3820
2	1036
1	387
0	166

prune350.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (fma (* 2/3 x) x 2))
0.3b	(* 2/3 x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

8.0ms	(* x (fma (* 2/3 x) x 2))
14.0ms	(* 2/3 x)

series165.0ms

Counts

2 → 6

Calls

2 calls:

144.0ms	(* x (fma (* 2/3 x) x 2))
21.0ms	(* 2/3 x)

simplify1.9s

Counts

50 → 50

Iterations

Iter	Nodes
done	5005
3	1680
2	423
1	155
0	69

prune173.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
3×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

3 → 66

Calls

3 calls:

45.0ms	(* x (* (* 2/3 x) x))
18.0ms	(* (* 2/3 x) x)
5.0ms	(* 2/3 x)

series121.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* x (* (* 2/3 x) x))
42.0ms	(* (* 2/3 x) x)
18.0ms	(* 2/3 x)

simplify2.6s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	2781
2	630
1	197
0	77

prune295.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample7.1s

Algorithm

intervals

Results

3.2s	3395×	body	1280	valid
1.9s	2455×	body	640	valid
911.0ms	7614×	body	80	nan
522.0ms	1270×	body	320	valid
220.0ms	663×	body	160	valid
60.0ms	217×	body	80	valid