Details

sample253.0ms

Algorithm

intervals

Results

131.0ms	116×	body	1280	valid
50.0ms	77×	body	640	valid
32.0ms	292×	body	80	nan
16.0ms	38×	body	320	valid
6.0ms	24×	body	160	valid
0.0ms	1×	body	80	valid

simplify154.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

154.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.8b

localize31.0ms

Local error

Found 2 expressions with local error:

6.0b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite51.0ms

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

35.0ms	(/ (+ x 1) (- 1 x))
12.0ms	(log (/ (+ x 1) (- 1 x)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

102.0ms	(log (/ (+ x 1) (- 1 x)))
26.0ms	(/ (+ x 1) (- 1 x))

simplify7.3s

Counts

153 → 99

Calls

153 calls:

Slowest

508.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
491.0ms	(* (* (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 x))) (/ (+ x 1) (- 1 x)))
461.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
419.0ms	(* (* (log (/ (+ x 1) (- 1 x))) (log (/ (+ x 1) (- 1 x)))) (log (/ (+ x 1) (- 1 x))))
398.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))

prune807.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 x)
0.1b	(* x (* 2/3 x))
0.1b	(* (pow x 5) 2/5)
0.0b	(* x (+ (* x (* 2/3 x)) 2))

rewrite133.0ms

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

76.0ms	(* x (+ (* x (* 2/3 x)) 2))
25.0ms	(* x (* 2/3 x))
21.0ms	(* (pow x 5) 2/5)
10.0ms	(* 2/3 x)

series264.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

124.0ms	(* x (+ (* x (* 2/3 x)) 2))
68.0ms	(* (pow x 5) 2/5)
44.0ms	(* x (* 2/3 x))
27.0ms	(* 2/3 x)

simplify7.4s

Counts

102 → 99

Calls

102 calls:

Slowest

486.0ms	(* (cbrt (* (pow x 5) 2/5)) (cbrt (* (pow x 5) 2/5)))
441.0ms	(* (* (* (pow x 5) 2/5) (* (pow x 5) 2/5)) (* (pow x 5) 2/5))
426.0ms	(exp (* x (+ (* x (* 2/3 x)) 2)))
388.0ms	(* x (+ (pow (* x (* 2/3 x)) 3) (pow 2 3)))
376.0ms	(* (* (* x (* 2/3 x)) (* x (* 2/3 x))) (* x (* 2/3 x)))

prune1.3s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 x)
0.1b	(* x (* 2/3 x))
0.1b	(* (pow x 5) 2/5)
0.1b	(* x (* x (* 2/3 x)))

rewrite108.0ms

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

60.0ms	(* x (* x (* 2/3 x)))
21.0ms	(* (pow x 5) 2/5)
20.0ms	(* x (* 2/3 x))
5.0ms	(* 2/3 x)

series179.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

72.0ms	(* (pow x 5) 2/5)
49.0ms	(* x (* x (* 2/3 x)))
34.0ms	(* x (* 2/3 x))
24.0ms	(* 2/3 x)

simplify8.0s

Counts

98 → 98

Calls

98 calls:

Slowest

803.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x))))
658.0ms	(* (* (* x x) x) (* (* (* x (* 2/3 x)) (* x (* 2/3 x))) (* x (* 2/3 x))))
509.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x))))
495.0ms	(* (cbrt (* (pow x 5) 2/5)) (cbrt (* (pow x 5) 2/5)))
423.0ms	(* (* (* x (* 2/3 x)) (* x (* 2/3 x))) (* x (* 2/3 x)))

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.6s

Algorithm

intervals

Results

4.1s	3493×	body	1280	valid
1.5s	2409×	body	640	valid
917.0ms	7694×	body	80	nan
577.0ms	1212×	body	320	valid
188.0ms	654×	body	160	valid
27.0ms	232×	body	80	valid