Details

sample106.0ms

Algorithm

intervals

Results

54.0ms	67×	body	1280	valid
25.0ms	56×	body	640	valid
6.0ms	27×	body	320	valid
5.0ms	91×	body	80	valid
3.0ms	83×	body	80	nan
2.0ms	15×	body	160	valid

simplify14.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

14.0ms

(log (+ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.0b

localize12.0ms

Local error

Found 1 expressions with local error:

4.5b	(log (+ 1 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

Slowest

6.0ms

(log (+ 1 x))

series24.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

24.0ms

(log (+ 1 x))

simplify899.0ms

Counts

10 → 19

Calls

10 calls:

Slowest

365.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
232.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
175.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
43.0ms	(log (+ (pow 1 3) (pow x 3)))
27.0ms	(log (- (* 1 1) (* x x)))

prune191.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/3)
0.1b	(* x (+ -1/2 (* x 1/3)))
0.0b	(* x (* x (+ -1/2 (* x 1/3))))
0.0b	(+ (* x (* x (+ -1/2 (* x 1/3)))) x)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

Slowest

28.0ms	(* x (* x (+ -1/2 (* x 1/3))))
19.0ms	(+ (* x (* x (+ -1/2 (* x 1/3)))) x)
17.0ms	(* x (+ -1/2 (* x 1/3)))
5.0ms	(* x 1/3)

series265.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

106.0ms	(* x (* x (+ -1/2 (* x 1/3))))
80.0ms	(* x (+ -1/2 (* x 1/3)))
50.0ms	(+ (* x (* x (+ -1/2 (* x 1/3)))) x)
29.0ms	(* x 1/3)

simplify4.5s

Counts

55 → 95

Calls

55 calls:

Slowest

638.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
457.0ms	(* (exp (* x (* x (+ -1/2 (* x 1/3))))) (exp x))
372.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3)))))
295.0ms	(* (* (* x x) x) (* (* (* x (+ -1/2 (* x 1/3))) (* x (+ -1/2 (* x 1/3)))) (* x (+ -1/2 (* x 1/3)))))
230.0ms	(* (* (* x x) x) (* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3))))

prune610.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

4.6b	(log (cbrt (+ 1 x)))
4.5b	(log (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
0.2b	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
0.2b	(cbrt (+ 1 x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
32×	`cbrt-prod`
28×	`cbrt-div`
23×	`add-sqr-sqrt`
20×	`pow1`
15×	`add-cube-cbrt`
14×	`flip3-+` `pow1/3` `flip-+`
11×	`log-pow`
10×	`log-div` `add-exp-log`
9×	`swap-sqr`
8×	`frac-times` `log-prod` `distribute-lft-out`
7×	`associate-r` `associate-l`
4×	`add-cbrt-cube` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`rem-log-exp`
2×	`pow2` `pow-plus` `prod-exp`
1×	`*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

Slowest

29.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
19.0ms	(log (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
7.0ms	(log (cbrt (+ 1 x)))
5.0ms	(cbrt (+ 1 x))

series222.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

64.0ms	(log (cbrt (+ 1 x)))
60.0ms	(log (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
49.0ms	(cbrt (+ 1 x))
47.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))

simplify6.1s

Counts

108 → 129

Calls

108 calls:

Slowest

360.0ms	(- (+ (* 1/3 (/ 1 x)) (* 1/3 (log -1))) (+ (* 1/3 (log (/ -1 x))) (* 1/6 (/ 1 (pow x 2)))))
285.0ms	(- (+ (log (pow (/ 1 x) -1/3)) (* 1/3 (/ 1 x))) (* 1/6 (/ 1 (pow x 2))))
278.0ms	(- (+ (log (pow (/ 1 x) -2/3)) (* 2/3 (/ 1 x))) (* 1/3 (/ 1 (pow x 2))))
277.0ms	(- (+ (* 1/3 x) (* 1/9 (pow x 3))) (* 1/6 (pow x 2)))
246.0ms	(- (+ (* 2/3 x) (* 2/9 (pow x 3))) (* 1/3 (pow x 2)))

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

4.6b	(log (cbrt (+ 1 x)))
4.5b	(log (pow (+ 1 x) 2/3))
1.9b	(pow (+ 1 x) 2/3)
0.2b	(cbrt (+ 1 x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
15×	`log-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-prod` `unpow-prod-down` `add-exp-log`
6×	`pow1`
4×	`cbrt-div` `add-cbrt-cube` `rem-log-exp` `insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `log-pow`
2×	`pow-to-exp` `log-div` `flip3-+` `pow1/3` `pow-exp` `flip-+` `sqr-pow`
1×	`pow-pow`

Counts

4 → 74

Calls

4 calls:

Slowest

10.0ms	(pow (+ 1 x) 2/3)
6.0ms	(log (pow (+ 1 x) 2/3))
5.0ms	(cbrt (+ 1 x))
4.0ms	(log (cbrt (+ 1 x)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(log (pow (+ 1 x) 2/3))
70.0ms	(log (cbrt (+ 1 x)))
61.0ms	(cbrt (+ 1 x))
56.0ms	(pow (+ 1 x) 2/3)

simplify3.8s

Counts

47 → 86

Calls

47 calls:

Slowest

357.0ms	(- (+ (* 2/3 (/ 1 x)) (* 2/3 (log -1))) (+ (* 2/3 (log (/ -1 x))) (* 1/3 (/ 1 (pow x 2)))))
335.0ms	(- (+ (* 1/3 (/ 1 x)) (* 1/3 (log -1))) (+ (* 1/3 (log (/ -1 x))) (* 1/6 (/ 1 (pow x 2)))))
273.0ms	(- (+ (* 2/3 x) (* 2/9 (pow x 3))) (* 1/3 (pow x 2)))
258.0ms	(- (+ (log (pow (/ 1 x) -2/3)) (* 2/3 (/ 1 x))) (* 1/3 (/ 1 (pow x 2))))
254.0ms	(- (+ (log (pow (/ 1 x) -1/3)) (* 1/3 (/ 1 x))) (* 1/6 (/ 1 (pow x 2))))

prune781.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes224.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 20.8b

bsearch32.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.7s	2251×	body	1280	valid
650.0ms	1708×	body	640	valid
172.0ms	850×	body	320	valid
159.0ms	2815×	body	80	valid
93.0ms	2662×	body	80	nan
47.0ms	376×	body	160	valid