Details

sample222.0ms

Algorithm

intervals

Results

86.0ms	85×	body	1280	valid
55.0ms	92×	body	640	valid
41.0ms	240×	body	80	nan
16.0ms	44×	body	320	valid
7.0ms	28×	body	160	valid
1.0ms	7×	body	80	valid

simplify117.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

117.0ms

(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize26.0ms

Local error

Found 2 expressions with local error:

7.0b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite55.0ms

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

40.0ms	(/ (+ x 1) (- 1 x))
11.0ms	(log (/ (+ x 1) (- 1 x)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

87.0ms	(log (/ (+ x 1) (- 1 x)))
28.0ms	(/ (+ x 1) (- 1 x))

simplify4.2s

Counts

101 → 99

Calls

101 calls:

Slowest

435.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
414.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
388.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
307.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
277.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune821.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 2/3 x)
0.2b	(* x (* 2/3 x))
0.1b	(* (pow x 5) 2/5)
0.0b	(* x (+ (* x (* 2/3 x)) 2))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-l`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
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:

Slowest

79.0ms	(* x (+ (* x (* 2/3 x)) 2))
24.0ms	(* x (* 2/3 x))
16.0ms	(* (pow x 5) 2/5)
10.0ms	(* 2/3 x)

series280.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

155.0ms	(* x (+ (* x (* 2/3 x)) 2))
73.0ms	(* (pow x 5) 2/5)
36.0ms	(* x (* 2/3 x))
16.0ms	(* 2/3 x)

simplify3.4s

Counts

61 → 99

Calls

61 calls:

Slowest

623.0ms	(* (* (* x x) x) (* (* (+ (* x (* 2/3 x)) 2) (+ (* x (* 2/3 x)) 2)) (+ (* x (* 2/3 x)) 2)))
274.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
263.0ms	(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
238.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
219.0ms	(* (* (* 2/3 2/3) 2/3) (* (* x x) x))

prune955.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 2/3 x)
0.2b	(* x (* 2/3 x))
0.1b	(* x (* x (* 2/3 x)))
0.1b	(* (pow x 5) 2/5)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
16×	`associate-l`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`pow-prod-down`
8×	`associate-r`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 86

Calls

4 calls:

Slowest

53.0ms	(* x (* x (* 2/3 x)))
17.0ms	(* x (* 2/3 x))
16.0ms	(* (pow x 5) 2/5)
5.0ms	(* 2/3 x)

series202.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(* (pow x 5) 2/5)
63.0ms	(* x (* x (* 2/3 x)))
37.0ms	(* x (* 2/3 x))
30.0ms	(* 2/3 x)

simplify4.0s

Counts

59 → 98

Calls

59 calls:

Slowest

615.0ms	(* (* (* x x) x) (* (* (* x (* 2/3 x)) (* x (* 2/3 x))) (* x (* 2/3 x))))
609.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x))))
537.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x))))
311.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
228.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.7s

Algorithm

intervals

Results

3.8s	3330×	body	1280	valid
1.7s	2506×	body	640	valid
977.0ms	8060×	body	80	nan
610.0ms	1304×	body	320	valid
248.0ms	663×	body	160	valid
47.0ms	197×	body	80	valid