Details

sample215.0ms

Algorithm

intervals

Results

94.0ms	115×	body	1280	valid
46.0ms	82×	body	640	valid
26.0ms	19×	body	160	valid
21.0ms	245×	body	80	nan
12.0ms	33×	body	320	valid
1.0ms	7×	body	80	valid

simplify277.0ms

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize28.0ms

Local error

Found 2 expressions with local error:

5.0b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite48.0ms

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

34.0ms	(/ (+ x 1) (- 1 x))
12.0ms	(log (/ (+ x 1) (- 1 x)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

99.0ms	(log (/ (+ x 1) (- 1 x)))
24.0ms	(/ (+ x 1) (- 1 x))

simplify783.0ms

Counts: 99 → 99

prune799.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
11×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16`
3×	`*-commutative`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-exp`

Counts

4 → 83

Calls

4 calls:

Slowest

68.0ms	(* x (+ (* (* x x) 2/3) 2))
27.0ms	(* (* x x) 2/3)
16.0ms	(* 2/5 (pow x 5))
15.0ms	(+ (* 2/5 (pow x 5)) (* x (+ (* (* x x) 2/3) 2)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(* x (+ (* (* x x) 2/3) 2))
77.0ms	(+ (* 2/5 (pow x 5)) (* x (+ (* (* x x) 2/3) 2)))
75.0ms	(* 2/5 (pow x 5))
32.0ms	(* (* x x) 2/3)

simplify3.3s

Counts: 95 → 95

prune868.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-l`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r+` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 82

Calls

4 calls:

Slowest

106.0ms	(+ (* 2/5 (pow x 5)) (+ (* x (* (* x x) 2/3)) (* x 2)))
52.0ms	(* x (* (* x x) 2/3))
19.0ms	(* (* x x) 2/3)
8.0ms	(* 2/5 (pow x 5))

series204.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

65.0ms	(+ (* 2/5 (pow x 5)) (+ (* x (* (* x x) 2/3)) (* x 2)))
63.0ms	(* 2/5 (pow x 5))
47.0ms	(* x (* (* x x) 2/3))
29.0ms	(* (* x x) 2/3)

simplify3.1s

Counts: 94 → 94

prune972.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.9s	3436×	body	1280	valid
2.1s	2492×	body	640	valid
1.0s	8192×	body	80	nan
546.0ms	1248×	body	320	valid
154.0ms	609×	body	160	valid
26.0ms	215×	body	80	valid