Details

sample144.0ms

Algorithm

intervals

Results

99.0ms	256×	body	10240	exit
11.0ms	194×	body	80	valid
4.0ms	29×	body	320	valid
4.0ms	15×	body	640	valid
2.0ms	21×	body	160	valid

simplify767.0ms

Counts: 1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))
0.0b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
4.9b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite232.0ms

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`
3×	`associate-/l*`
2×	`flip3--` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv` `distribute-lft-out--` `associate--r-`

Counts

4 → 92

Calls

4 calls:

24.0ms	(* wj (exp wj))
30.0ms	(* wj (exp wj))
53.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
119.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* wj (exp wj))
43.0ms	(* wj (exp wj))
68.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
86.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify674.0ms

Counts: 104 → 104

prune343.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

18.0ms

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

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify1.3s

Counts: 27 → 27

prune79.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

43.0ms	(* (cbrt (- wj (* x 2))) (cbrt (- wj (* x 2))))
3.0ms	(cbrt (- wj (* x 2)))
3.0ms	(cbrt (- wj (* x 2)))
3.0ms	(cbrt (- wj (* x 2)))

series838.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt (- wj (* x 2))) (cbrt (- wj (* x 2))))
217.0ms	(cbrt (- wj (* x 2)))
188.0ms	(cbrt (- wj (* x 2)))
223.0ms	(cbrt (- wj (* x 2)))

simplify2.0s

Counts: 99 → 99

prune368.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (- wj (* x 2)))
3.0ms	(cbrt (- wj (* x 2)))
3.0ms	(cbrt (- wj (* x 2)))
3.0ms	(cbrt (- wj (* x 2)))

series1.2s

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (- wj (* x 2)))
231.0ms	(cbrt (- wj (* x 2)))
527.0ms	(cbrt (- wj (* x 2)))
198.0ms	(cbrt (- wj (* x 2)))

simplify1.9s

Counts: 64 → 64

prune471.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

regimes174.0ms

Accuracy

0% (1.9b remaining)

Error of 2.2b against oracle of 0.3b and baseline of 2.2b

bsearch0.0ms

simplify1.4s

end0.0ms

sample6.1s

Algorithm

intervals

Results

4.8s	7732×	body	10240	exit
420.0ms	6253×	body	80	valid
131.0ms	814×	body	320	valid
116.0ms	468×	body	640	valid
59.0ms	539×	body	160	valid