Details

sample155.0ms

Algorithm

intervals

Results

119.0ms	240×	body	10240	exit
12.0ms	206×	body	80	valid
4.0ms	23×	body	320	valid
3.0ms	11×	body	640	valid
3.0ms	19×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5143
6	3633
5	796
4	188
3	102
2	48
1	20
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize33.0ms

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))))
4.5b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite124.0ms

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))
16.0ms	(+ (exp wj) (* wj (exp wj)))
41.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
53.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* wj (exp wj))
43.0ms	(+ (exp wj) (* wj (exp wj)))
57.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
72.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1259
1	413
0	167

prune516.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* wj wj) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
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 → 12

Calls

1 calls:

8.0ms

(+ (* wj wj) x)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(+ (* wj wj) x)

simplify2.6s

Counts

15 → 15

Iterations

Iter	Nodes
done	5001
4	2820
3	847
2	254
1	88
0	30

prune91.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

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:

59.0ms	(* (cbrt (+ (* wj wj) x)) (cbrt (+ (* wj wj) x)))
11.0ms	(cbrt (+ (* wj wj) x))
11.0ms	(cbrt (+ (* wj wj) x))
11.0ms	(cbrt (+ (* wj wj) x))

series437.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (cbrt (+ (* wj wj) x)) (cbrt (+ (* wj wj) x)))
118.0ms	(cbrt (+ (* wj wj) x))
96.0ms	(cbrt (+ (* wj wj) x))
93.0ms	(cbrt (+ (* wj wj) x))

simplify2.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
4	3771
3	1330
2	523
1	225
0	100

prune463.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* wj wj) x))
0.5b	(cbrt (+ (* wj wj) x))
0.5b	(cbrt (+ (* wj wj) x))
4.9b	(exp (log (* (cbrt (+ (* wj wj) x)) (cbrt (+ (* wj wj) x)))))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
12×	`pow1` `exp-prod`
9×	`cbrt-prod` `flip3-+` `pow1/3` `log-pow` `flip-+`
8×	`add-sqr-sqrt` `log-div` `*-un-lft-identity` `exp-diff` `add-cube-cbrt`
4×	`frac-times` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-prod` `pow-plus` `exp-sum` `rem-exp-log`

Counts

4 → 72

Calls

4 calls:

11.0ms	(cbrt (+ (* wj wj) x))
11.0ms	(cbrt (+ (* wj wj) x))
13.0ms	(cbrt (+ (* wj wj) x))
91.0ms	(exp (log (* (cbrt (+ (* wj wj) x)) (cbrt (+ (* wj wj) x)))))

series432.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (+ (* wj wj) x))
91.0ms	(cbrt (+ (* wj wj) x))
118.0ms	(cbrt (+ (* wj wj) x))
115.0ms	(exp (log (* (cbrt (+ (* wj wj) x)) (cbrt (+ (* wj wj) x)))))

simplify1.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
4	2856
3	1055
2	478
1	241
0	126

prune444.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.5b

regimes288.0ms

Accuracy

0% (1.7b remaining)

Error of 2.2b against oracle of 0.5b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample6.3s

Algorithm

intervals

Results

4.5s	7578×	body	10240	exit
988.0ms	6266×	body	80	valid
160.0ms	486×	body	640	valid
148.0ms	760×	body	320	valid
103.0ms	561×	body	160	valid