Details

sample260.0ms

Algorithm

intervals

Results

201.0ms	250×	body	10240	exit
23.0ms	217×	body	80	valid
6.0ms	11×	body	640	valid
6.0ms	20×	body	320	valid
2.0ms	11×	body	160	valid

simplify12.4s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize16.0ms

Local error

Found 4 expressions with local error:

3.2b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
1.0b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

Slowest

41.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
33.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
12.0ms	(* wj (exp wj))
9.0ms	(* wj (exp wj))

series214.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
53.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
42.0ms	(* wj (exp wj))
33.0ms	(* wj (exp wj))

simplify1.0s

Counts: 108 → 108

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

Slowest

23.0ms	(* wj (+ wj (* -2 x)))
11.0ms	(+ x (* wj (+ wj (* -2 x))))

series131.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

73.0ms	(* wj (+ wj (* -2 x)))
58.0ms	(+ x (* wj (+ wj (* -2 x))))

simplify1.0s

Counts: 43 → 43

prune334.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ wj (* -2 x)))
0.6b	(cbrt (+ wj (* -2 x)))
0.6b	(cbrt (+ wj (* -2 x)))
0.5b	(* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x))))

rewrite27.0ms

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

19.0ms	(* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x))))
2.0ms	(cbrt (+ wj (* -2 x)))
2.0ms	(cbrt (+ wj (* -2 x)))
2.0ms	(cbrt (+ wj (* -2 x)))

series926.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

247.0ms	(cbrt (+ wj (* -2 x)))
236.0ms	(cbrt (+ wj (* -2 x)))
234.0ms	(cbrt (+ wj (* -2 x)))
208.0ms	(* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x))))

simplify849.0ms

Counts: 103 → 103

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-div`
20×	`cbrt-prod`
14×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `associate-l/` `associate-r/` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 70

Calls

4 calls:

Slowest

8.0ms	(cbrt (* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x)))))
7.0ms	(cbrt (* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x)))))
3.0ms	(cbrt (cbrt (+ wj (* -2 x))))
2.0ms	(cbrt (cbrt (+ wj (* -2 x))))

series707.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

199.0ms	(cbrt (cbrt (+ wj (* -2 x))))
176.0ms	(cbrt (cbrt (+ wj (* -2 x))))
168.0ms	(cbrt (* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x)))))
164.0ms	(cbrt (* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x)))))

simplify1.4s

Counts: 82 → 82

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

regimes229.0ms

Accuracy

0% (1.7b remaining)

Error of 2.2b against oracle of 0.4b and baseline of 2.2b

bsearch2.0ms

end0.0ms

sample8.3s

Algorithm

intervals

Results

5.8s	7571×	body	10240	exit
668.0ms	6271×	body	80	valid
641.0ms	481×	body	640	valid
538.0ms	543×	body	160	valid
235.0ms	779×	body	320	valid