Details

sample218.0ms

Algorithm

intervals

Results

168.0ms	237×	body	10240	exit
18.0ms	212×	body	80	valid
6.0ms	13×	body	640	valid
4.0ms	18×	body	320	valid
3.0ms	18×	body	160	valid

simplify11.9s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize35.0ms

Local error

Found 4 expressions with local error:

5.1b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
0.5b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(* wj (exp wj))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`times-frac` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
5×	`associate-/r*` `distribute-rgt-out` `distribute-rgt1-in`
4×	`insert-posit16`
3×	`associate-r` `associate-l` `associate-/l*`
2×	`flip3-+` `flip3--` `div-sub` `associate-/r/` `flip-+` `flip--` `difference-of-squares` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

Slowest

62.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
42.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
9.0ms	(* wj (exp wj))
8.0ms	(+ (exp wj) (* wj (exp wj)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
60.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
59.0ms	(+ (exp wj) (* wj (exp wj)))
40.0ms	(* wj (exp wj))

simplify1.7s

Counts: 103 → 103

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.8b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* wj (- wj (* 2 x))) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-+l+`
3×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 16

Calls

1 calls:

Slowest

10.0ms

(+ (* wj (- wj (* 2 x))) x)

series40.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

40.0ms

(+ (* wj (- wj (* 2 x))) x)

simplify3.6s

Counts: 19 → 19

prune173.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.8b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* wj (- wj (* 2 x))) x))
0.6b	(cbrt (+ (* wj (- wj (* 2 x))) x))
0.6b	(cbrt (+ (* wj (- wj (* 2 x))) x))
0.4b	(* (cbrt (+ (* wj (- wj (* 2 x))) x)) (cbrt (+ (* wj (- wj (* 2 x))) x)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

Slowest

103.0ms	(* (cbrt (+ (* wj (- wj (* 2 x))) x)) (cbrt (+ (* wj (- wj (* 2 x))) x)))
19.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))
13.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))
12.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))

series914.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

286.0ms	(* (cbrt (+ (* wj (- wj (* 2 x))) x)) (cbrt (+ (* wj (- wj (* 2 x))) x)))
218.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))
208.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))
202.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))

simplify768.0ms

Counts: 103 → 103

prune1.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.8b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* wj (- wj (* 2 x))) x))
0.6b	(cbrt (+ (* wj (- wj (* 2 x))) x))
0.6b	(cbrt (+ (* wj (- wj (* 2 x))) x))
0.6b	(cbrt (+ (* wj (- wj (* 2 x))) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

Slowest

11.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))
9.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))
7.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))
6.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))

series933.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

251.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))
239.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))
232.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))
209.0ms	(cbrt (+ (* wj (- wj (* 2 x))) x))

simplify1.8s

Counts: 68 → 68

prune792.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.8b

regimes288.0ms

Accuracy

0% (1.8b remaining)

Error of 2.3b against oracle of 0.5b and baseline of 2.3b

bsearch1.0ms

end0.0ms

sample8.5s

Algorithm

intervals

Results

6.8s	7709×	body	10240	exit
625.0ms	6316×	body	80	valid
253.0ms	780×	body	320	valid
227.0ms	465×	body	640	valid
216.0ms	525×	body	160	valid