Details

sample204.0ms

Algorithm

intervals

Results

158.0ms	263×	body	10240	exit
17.0ms	203×	body	80	valid
5.0ms	21×	body	320	valid
4.0ms	23×	body	160	valid
4.0ms	10×	body	640	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
6	3938
5	680
4	177
3	96
2	46
1	20
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.3b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
5.8b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite119.0ms

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:

12.0ms	(* wj (exp wj))
10.0ms	(+ (exp wj) (* wj (exp wj)))
32.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
63.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series226.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* wj (exp wj))
49.0ms	(+ (exp wj) (* wj (exp wj)))
71.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
69.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify2.4s

Counts

103 → 103

Iterations

Iter	Nodes
3	7241
2	1297
1	401
0	167

prune547.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`associate-+r+` `sum-log`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r-` `sub-neg` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 16

Calls

1 calls:

23.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify571.0ms

Counts

19 → 19

Iterations

Iter	Nodes
3	2062
2	419
1	122
0	42

prune89.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

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:

16.0ms	(cbrt (+ (* wj wj) (- x (* x (+ wj wj)))))
17.0ms	(cbrt (+ (* wj wj) (- x (* x (+ wj wj)))))
12.0ms	(cbrt (+ (* wj wj) (- x (* x (+ wj wj)))))
81.0ms	(* (cbrt (+ (* wj wj) (- x (* x (+ wj wj))))) (cbrt (+ (* wj wj) (- x (* x (+ wj wj))))))

series884.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt (+ (* wj wj) (- x (* x (+ wj wj)))))
205.0ms	(cbrt (+ (* wj wj) (- x (* x (+ wj wj)))))
200.0ms	(cbrt (+ (* wj wj) (- x (* x (+ wj wj)))))
257.0ms	(* (cbrt (+ (* wj wj) (- x (* x (+ wj wj))))) (cbrt (+ (* wj wj) (- x (* x (+ wj wj))))))

simplify669.0ms

Counts

103 → 103

Iterations

Iter	Nodes
3	2075
2	658
1	253
0	108

prune628.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.3b	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
5.3b	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

11.0ms	(+ (exp wj) (* wj (exp wj)))
13.0ms	(+ (exp wj) (* wj (exp wj)))
30.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
16.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (exp wj) (* wj (exp wj)))
59.0ms	(+ (exp wj) (* wj (exp wj)))
40.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
68.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

simplify2.4s

Counts

83 → 83

Iterations

Iter	Nodes
3	4808
2	1015
1	291
0	115

prune427.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes66.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	16
1	16
0	11

end0.0ms

sample8.7s

Algorithm

intervals

Results

6.2s	7821×	body	10240	exit
1.1s	6279×	body	80	valid
699.0ms	456×	body	640	valid
245.0ms	761×	body	320	valid
108.0ms	582×	body	160	valid