Details

sample172.0ms

Algorithm

intervals

Results

123.0ms	286×	body	10240	exit
12.0ms	202×	body	80	valid
5.0ms	28×	body	320	valid
3.0ms	12×	body	640	valid
2.0ms	17×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.5b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
4.5b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite140.0ms

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`
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 → 87

Calls

4 calls:

17.0ms	(* wj (exp wj))
9.0ms	(+ (exp wj) (* wj (exp wj)))
36.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
74.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series236.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* wj (exp wj))
53.0ms	(+ (exp wj) (* wj (exp wj)))
54.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
87.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1294
1	410
0	163

prune556.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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-+`

Counts

1 → 15

Calls

1 calls:

11.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify1.9s

Counts

18 → 18

Iterations

Iter	Nodes
done	5011
3	1983
2	398
1	120
0	41

prune97.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* wj wj) (- x (* (+ wj wj) x)))
3.0b	(exp (log (+ (* wj wj) (- x (* (+ wj wj) x)))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
4×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity` `add-cube-cbrt`
3×	`pow1` `log-prod` `exp-sum`
2×	`log-div` `associate-+r+` `sum-log` `flip3-+` `add-cbrt-cube` `exp-diff` `add-exp-log` `flip-+`
1×	`+-commutative` `associate-+r-` `sub-neg` `diff-log` `log-pow` `rem-exp-log`

Counts

2 → 32

Calls

2 calls:

21.0ms	(+ (* wj wj) (- x (* (+ wj wj) x)))
23.0ms	(exp (log (+ (* wj wj) (- x (* (+ wj wj) x)))))

series79.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* wj wj) (- x (* (+ wj wj) x)))
47.0ms	(exp (log (+ (* wj wj) (- x (* (+ wj wj) x)))))

simplify1.8s

Counts

38 → 38

Iterations

Iter	Nodes
done	5025
3	1974
2	443
1	162
0	72

prune242.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* wj wj) (- x (* (+ wj wj) x))))
0.6b	(cbrt (+ (* wj wj) (- x (* (+ wj wj) x))))
2.2b	(exp (log (cbrt (+ (* wj wj) (- x (* (+ wj wj) x))))))
4.8b	(exp (log (* (cbrt (+ (* wj wj) (- x (* (+ wj wj) x)))) (cbrt (+ (* wj wj) (- x (* (+ wj wj) x)))))))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

10.0ms	(cbrt (+ (* wj wj) (- x (* (+ wj wj) x))))
18.0ms	(cbrt (+ (* wj wj) (- x (* (+ wj wj) x))))
13.0ms	(exp (log (cbrt (+ (* wj wj) (- x (* (+ wj wj) x))))))
144.0ms	(exp (log (* (cbrt (+ (* wj wj) (- x (* (+ wj wj) x)))) (cbrt (+ (* wj wj) (- x (* (+ wj wj) x)))))))

series913.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt (+ (* wj wj) (- x (* (+ wj wj) x))))
243.0ms	(cbrt (+ (* wj wj) (- x (* (+ wj wj) x))))
207.0ms	(exp (log (cbrt (+ (* wj wj) (- x (* (+ wj wj) x))))))
241.0ms	(exp (log (* (cbrt (+ (* wj wj) (- x (* (+ wj wj) x)))) (cbrt (+ (* wj wj) (- x (* (+ wj wj) x)))))))

simplify1.7s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	1766
2	639
1	307
0	162

prune719.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

regimes143.0ms

Accuracy

0% (1.3b remaining)

Error of 2.1b against oracle of 0.8b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample6.2s

Algorithm

intervals

Results

4.8s	7750×	body	10240	exit
559.0ms	6220×	body	80	valid
145.0ms	836×	body	320	valid
129.0ms	465×	body	640	valid
63.0ms	548×	body	160	valid