Details

sample196.0ms

Algorithm

intervals

Results

81.0ms	85×	body	1280	valid
54.0ms	92×	body	640	valid
22.0ms	240×	body	80	nan
16.0ms	44×	body	320	valid
8.0ms	28×	body	160	valid
1.0ms	7×	body	80	valid

simplify184.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

184.0ms

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

prune14.0ms

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))

rewrite50.0ms

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:

Slowest

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

series127.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

96.0ms	(log (/ (+ x 1) (- 1 x)))
31.0ms	(/ (+ x 1) (- 1 x))

simplify4.6s

Counts

101 → 103

Calls

101 calls:

Slowest

499.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
405.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
356.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
329.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
316.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune681.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

Slowest

6.0ms

(* x (fma 2/3 (* x x) 2))

series117.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

117.0ms

(* x (fma 2/3 (* x x) 2))

simplify1.6s

Counts

15 → 26

Calls

15 calls:

Slowest

918.0ms	(* (* (* x x) x) (* (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)) (fma 2/3 (* x x) 2)))
163.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
155.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
149.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
52.0ms	(* x (fma 2/3 (* x x) 2))

prune246.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 2/3 (* x x))
0.1b	(* x (* 2/3 (* x x)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 46

Calls

2 calls:

Slowest

44.0ms	(* x (* 2/3 (* x x)))
13.0ms	(* 2/3 (* x x))

series95.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

57.0ms	(* x (* 2/3 (* x x)))
38.0ms	(* 2/3 (* x x))

simplify2.3s

Counts

28 → 52

Calls

28 calls:

Slowest

493.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x))))
486.0ms	(* (* (* x x) x) (* (* (* 2/3 (* x x)) (* 2/3 (* x x))) (* 2/3 (* x x))))
460.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x))))
204.0ms	(* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x)))
187.0ms	(* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x)))

prune514.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample8.2s

Algorithm

intervals

Results

4.0s	3330×	body	1280	valid
1.7s	2506×	body	640	valid
1.4s	8060×	body	80	nan
585.0ms	1304×	body	320	valid
204.0ms	663×	body	160	valid
24.0ms	197×	body	80	valid