Details

sample87.0ms

Algorithm

intervals

Results

48.0ms	80×	body	1280	valid
20.0ms	56×	body	640	valid
4.0ms	23×	body	320	valid
4.0ms	80×	body	80	valid
2.0ms	86×	body	80	nan
2.0ms	17×	body	160	valid

simplify8.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

8.0ms

(log (+ 1 x))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.2b

localize6.0ms

Local error

Found 1 expressions with local error:

4.6b	(log (+ 1 x))

rewrite3.0ms

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

3.0ms

(log (+ 1 x))

series23.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

23.0ms

(log (+ 1 x))

simplify886.0ms

Counts

10 → 19

Calls

10 calls:

Slowest

395.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
200.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
186.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
53.0ms	(log (+ (pow 1 3) (pow x 3)))
19.0ms	(log (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))

prune120.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

Slowest

24.0ms	(* x (* x (+ -1/2 (* x 1/3))))
21.0ms	(* x (+ -1/2 (* x 1/3)))
12.0ms	(* x 1/3)

series202.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

112.0ms	(* x (* x (+ -1/2 (* x 1/3))))
74.0ms	(* x (+ -1/2 (* x 1/3)))
16.0ms	(* x 1/3)

simplify3.3s

Counts

47 → 76

Calls

47 calls:

Slowest

694.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3)))))
349.0ms	(* (* (* x x) x) (* (* (* x (+ -1/2 (* x 1/3))) (* x (+ -1/2 (* x 1/3)))) (* x (+ -1/2 (* x 1/3)))))
221.0ms	(* (* (* x x) x) (* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3))))
216.0ms	(- (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))
206.0ms	(+ (* -1/2 -1/2) (- (* (* x 1/3) (* x 1/3)) (* -1/2 (* x 1/3))))

prune504.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

60.3b	(posit16->real (real->posit16 (* x 1/3)))
0.3b	(* x 1/3)
0.0b	(* x (+ -1/2 (posit16->real (real->posit16 (* x 1/3)))))
0.0b	(* x (* x (+ -1/2 (posit16->real (real->posit16 (* x 1/3))))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

Slowest

38.0ms	(* x (* x (+ -1/2 (posit16->real (real->posit16 (* x 1/3))))))
24.0ms	(* x (+ -1/2 (posit16->real (real->posit16 (* x 1/3)))))
10.0ms	(* x 1/3)
1.0ms	(posit16->real (real->posit16 (* x 1/3)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

113.0ms	(* x (* x (+ -1/2 (posit16->real (real->posit16 (* x 1/3))))))
102.0ms	(* x (+ -1/2 (posit16->real (real->posit16 (* x 1/3)))))
31.0ms	(posit16->real (real->posit16 (* x 1/3)))
26.0ms	(* x 1/3)

simplify3.1s

Counts

51 → 89

Calls

51 calls:

Slowest

505.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (+ -1/2 (posit16->real (real->posit16 (* x 1/3)))) (+ -1/2 (posit16->real (real->posit16 (* x 1/3))))) (+ -1/2 (posit16->real (real->posit16 (* x 1/3)))))))
341.0ms	(* (* (* x x) x) (* (* (* x (+ -1/2 (posit16->real (real->posit16 (* x 1/3))))) (* x (+ -1/2 (posit16->real (real->posit16 (* x 1/3)))))) (* x (+ -1/2 (posit16->real (real->posit16 (* x 1/3)))))))
299.0ms	(* (* (* x x) x) (* (* (+ -1/2 (posit16->real (real->posit16 (* x 1/3)))) (+ -1/2 (posit16->real (real->posit16 (* x 1/3))))) (+ -1/2 (posit16->real (real->posit16 (* x 1/3))))))
193.0ms	(- (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))
185.0ms	(+ (* -1/2 -1/2) (- (* (posit16->real (real->posit16 (* x 1/3))) (posit16->real (real->posit16 (* x 1/3)))) (* -1/2 (posit16->real (real->posit16 (* x 1/3))))))

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`log-prod`
7×	`add-sqr-sqrt` `pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 59

Calls

4 calls:

Slowest

13.0ms	(cbrt (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
11.0ms	(log (+ 1 x))
6.0ms	(log (+ 1 x))
6.0ms	(log (+ 1 x))

series112.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

36.0ms	(cbrt (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
30.0ms	(log (+ 1 x))
23.0ms	(log (+ 1 x))
23.0ms	(log (+ 1 x))

simplify3.4s

Counts

35 → 71

Calls

35 calls:

Slowest

393.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
380.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
375.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
345.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
254.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))

prune573.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes144.0ms

Accuracy

99.2% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 19.7b

bsearch67.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.8s	2376×	body	1280	valid
710.0ms	1701×	body	640	valid
213.0ms	848×	body	320	valid
172.0ms	2675×	body	80	valid
100.0ms	2707×	body	80	nan
51.0ms	400×	body	160	valid