Details

sample172.0ms

Algorithm

intervals

Results

87.0ms	859×	body	80	nan
27.0ms	296×	body	80	valid

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3696
4	1232
3	330
2	97
1	38
0	20

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite4.4s

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-+` `insert-posit16`
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 → 99

Calls

4 calls:

3.6s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
833.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
29.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series1.2s

Counts

4 → 12

Calls

4 calls:

726.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
305.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
94.0ms	(* (- b 0.5) (log c))
41.0ms	(* x (log y))

simplify2.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	5005
2	2383
1	659
0	252

prune980.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (log (sqrt c)) (- b 0.5)))
0.2b	(* (log (sqrt c)) (- b 0.5))
0.2b	(* (log (sqrt c)) (- b 0.5))
0.3b	(* x (log y))

rewrite3.5s

Algorithm

rewrite-expression-head

Rules

24×	`associate-*r/` `add-log-exp`
22×	`add-sqr-sqrt`
20×	`frac-add`
16×	`*-un-lft-identity`
15×	`pow1` `sum-log` `associate-l`
14×	`associate-r`
12×	`flip3--` `add-cube-cbrt` `flip--`
10×	`add-cbrt-cube` `add-exp-log`
9×	`distribute-rgt-in` `distribute-lft-in`
7×	`flip3-+` `log-pow` `flip-+`
6×	`log-prod` `sub-neg`
4×	`associate-+r+` `insert-posit16`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `associate-+l+`

Counts

4 → 119

Calls

4 calls:

3.4s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (log (sqrt c)) (- b 0.5)))
23.0ms	(* (log (sqrt c)) (- b 0.5))
40.0ms	(* (log (sqrt c)) (- b 0.5))
9.0ms	(* x (log y))

series636.0ms

Counts

4 → 12

Calls

4 calls:

398.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (log (sqrt c)) (- b 0.5)))
99.0ms	(* (log (sqrt c)) (- b 0.5))
92.0ms	(* (log (sqrt c)) (- b 0.5))
46.0ms	(* x (log y))

simplify3.7s

Counts

131 → 131

Iterations

Iter	Nodes
done	5004
2	3919
1	886
0	272

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`pow1/3`
2×	`associate-+l+`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 50

Calls

4 calls:

23.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

172.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* (log (cbrt y)) x))
270.0ms	(cbrt y)
291.0ms	(cbrt y)
308.0ms	(cbrt y)

simplify2.8s

Counts

62 → 62

Iterations

Iter	Nodes
done	5003
3	3442
2	727
1	183
0	64

prune707.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize102.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (+ (log (pow y 1/3)) (log (cbrt y)))) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)
4.8b	(pow y 1/3)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `add-log-exp`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16`
3×	`pow-unpow` `unpow-prod-down`
2×	`associate-+l+` `pow1/3`
1×	`distribute-rgt-in` `pow-to-exp` `+-commutative` `sum-log` `pow-pow` `distribute-lft-in` `flip3-+` `unpow1/3` `pow-exp` `flip-+` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

24.0ms	(+ (* x (+ (log (pow y 1/3)) (log (cbrt y)))) (* (log (cbrt y)) x))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
5.0ms	(pow y 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

175.0ms	(+ (* x (+ (log (pow y 1/3)) (log (cbrt y)))) (* (log (cbrt y)) x))
297.0ms	(cbrt y)
267.0ms	(cbrt y)
317.0ms	(pow y 1/3)

simplify3.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	5002
3	4015
2	969
1	271
0	98

prune693.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.7s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	34
1	34
0	24

end0.0ms

sample8.0s

Algorithm

intervals

Results

4.3s	27306×	body	80	nan
1.7s	9204×	body	80	valid
3.0ms	6×	body	640	valid