Details

sample271.0ms

Algorithm

intervals

Results

103.0ms	885×	body	80	nan
31.0ms	298×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1645
3	401
2	99
1	38
0	20

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite3.3s

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

686.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
2.6s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
19.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

series1.4s

Counts

4 → 12

Calls

4 calls:

390.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
875.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
69.0ms	(* (- b 0.5) (log c))
43.0ms	(* x (log y))

simplify2.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
2	2867
1	672
0	248

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
12×	`associate-+r+` `log-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`pow1/3`
2×	`associate-+l+`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 59

Calls

4 calls:

27.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series972.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* x (log (cbrt y))))
248.0ms	(cbrt y)
238.0ms	(cbrt y)
332.0ms	(cbrt y)

simplify1.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1335
1	252
0	93

prune984.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (+ (log (cbrt (sqrt y))) (* 2/3 (log y)))) (* x (log (cbrt (sqrt y)))))
0.4b	(* 2/3 (log y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

29.0ms	(+ (* x (+ (log (cbrt (sqrt y))) (* 2/3 (log y)))) (* x (log (cbrt (sqrt y)))))
7.0ms	(* 2/3 (log y))
1.0ms	(cbrt (sqrt y))
1.0ms	(cbrt (sqrt y))

series885.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(+ (* x (+ (log (cbrt (sqrt y))) (* 2/3 (log y)))) (* x (log (cbrt (sqrt y)))))
211.0ms	(* 2/3 (log y))
221.0ms	(cbrt (sqrt y))
205.0ms	(cbrt (sqrt y))

simplify1.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1556
1	434
0	186

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize120.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod`
7×	`pow1`
6×	`log-prod` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-l`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

16.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series912.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* x (log y))
309.0ms	(cbrt c)
293.0ms	(cbrt c)
236.0ms	(cbrt c)

simplify1.3s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	1742
2	404
1	151
0	79

prune743.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes2.2s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	34
1	34
0	24

end0.0ms

sample9.2s

Algorithm

intervals

Results

3.6s	27695×	body	80	nan
1.2s	9186×	body	80	valid
1.0ms	3×	body	320	valid
1.0ms	1×	body	640	valid