Details

sample247.0ms

Algorithm

intervals

Results

117.0ms	111×	body	1280	valid
54.0ms	82×	body	640	valid
39.0ms	284×	body	80	nan
14.0ms	34×	body	320	valid
6.0ms	22×	body	160	valid
1.0ms	7×	body	80	valid

simplify165.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

165.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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

24.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series136.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

99.0ms	(log (/ (+ x 1) (- 1 x)))
37.0ms	(/ (+ x 1) (- 1 x))

simplify4.4s

Counts

101 → 103

Calls

101 calls:

Slowest

458.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
412.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
351.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
341.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
318.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune708.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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

10.0ms

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

series142.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

142.0ms

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

simplify1.3s

Counts

15 → 26

Calls

15 calls:

Slowest

725.0ms	(* (* (* x x) x) (* (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)) (fma 2/3 (* x x) 2)))
154.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
125.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
114.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
41.0ms	(* (sqrt x) (sqrt (fma 2/3 (* x x) 2)))

prune239.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

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

60.0ms	(* x (* 2/3 (* x x)))
28.0ms	(* 2/3 (* x x))

series67.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

39.0ms	(* x (* 2/3 (* x x)))
28.0ms	(* 2/3 (* x x))

simplify2.5s

Counts

28 → 52

Calls

28 calls:

Slowest

567.0ms	(* (* (* x x) x) (* (* (* 2/3 (* x x)) (* 2/3 (* x x))) (* 2/3 (* x x))))
514.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x))))
423.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x))))
274.0ms	(* (* (* 2/3 2/3) 2/3) (* (* (* x x) x) (* (* x x) x)))
195.0ms	(* (* (* 2/3 2/3) 2/3) (* (* (* x x) (* x x)) (* x x)))

prune563.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

5.3b	(log (- 1 x))
0.0b	(- (log1p x) (log (- 1 x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
12×	`log-prod` `prod-diff` `add-cube-cbrt`
7×	`pow1`
6×	`associate--r+`
5×	`log-pow` `difference-of-squares`
4×	`log-div` `distribute-lft-out--`
3×	`flip3--` `fma-neg` `add-exp-log` `flip--` `add-log-exp`
2×	`expm1-log1p-u` `sub-neg` `log1p-def` `add-cbrt-cube` `diff-log` `insert-posit16` `log1p-expm1-u` `associate--r-`
1×	`log1p-udef` `rem-log-exp`

Counts

2 → 64

Calls

2 calls:

Slowest

8.0ms	(- (log1p x) (log (- 1 x)))
7.0ms	(log (- 1 x))

series172.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

142.0ms	(- (log1p x) (log (- 1 x)))
29.0ms	(log (- 1 x))

simplify4.3s

Counts

57 → 70

Calls

57 calls:

Slowest

410.0ms	(- (+ (* 2/3 (/ 1 (pow x 3))) (* 2 (/ 1 x))) (log -1))
373.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
365.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
339.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
292.0ms	(- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))

prune412.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch8.0ms

end0.0ms

sample8.2s

Algorithm

intervals

Results

3.6s	3400×	body	1280	valid
2.5s	2551×	body	640	valid
1.1s	8133×	body	80	nan
516.0ms	1192×	body	320	valid
168.0ms	641×	body	160	valid
26.0ms	216×	body	80	valid