Details

sample239.0ms

Algorithm

intervals

Results

126.0ms	118×	body	1280	valid
45.0ms	72×	body	640	valid
28.0ms	284×	body	80	nan
18.0ms	43×	body	320	valid
5.0ms	19×	body	160	valid
0.0ms	4×	body	80	valid

simplify344.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize14.0ms

Local error

Found 2 expressions with local error:

5.3b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite39.0ms

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:

Slowest

28.0ms	(/ (+ x 1) (- 1 x))
9.0ms	(log (/ (+ x 1) (- 1 x)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

74.0ms	(log (/ (+ x 1) (- 1 x)))
24.0ms	(/ (+ x 1) (- 1 x))

simplify903.0ms

Counts: 99 → 99

prune957.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-exp-log`
13×	`associate-r`
12×	`add-cbrt-cube`
10×	`pow1`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `prod-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down`
3×	`*-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

3 → 69

Calls

3 calls:

Slowest

14.0ms	(* (* x x) 2/3)
13.0ms	(* x (+ 2 (* (* x x) 2/3)))
8.0ms	(* 2/5 (pow x 5))

series247.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

136.0ms	(* x (+ 2 (* (* x x) 2/3)))
75.0ms	(* 2/5 (pow x 5))
36.0ms	(* (* x x) 2/3)

simplify2.0s

Counts: 78 → 78

prune876.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
14×	`add-sqr-sqrt`
13×	`associate-r`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`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:

Slowest

67.0ms	(* (* (* x x) 2/3) x)
14.0ms	(* (* x x) 2/3)
8.0ms	(* 2/5 (pow x 5))

series221.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

104.0ms	(* 2/5 (pow x 5))
84.0ms	(* (* (* x x) 2/3) x)
33.0ms	(* (* x x) 2/3)

simplify1.2s

Counts: 77 → 77

prune757.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.6s

Algorithm

intervals

Results

3.4s	3453×	body	1280	valid
1.7s	2495×	body	640	valid
893.0ms	8133×	body	80	nan
595.0ms	659×	body	160	valid
593.0ms	1206×	body	320	valid
22.0ms	187×	body	80	valid