Details

sample133.0ms

Algorithm

intervals

Results

44.0ms	846×	body	80	nan
16.0ms	291×	body	80	valid

simplify71.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11
done	5001	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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)))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite3.0s

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-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
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:

2.3s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
593.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
26.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series895.0ms

Counts

4 → 12

Calls

4 calls:

550.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
246.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
60.0ms	(* (- b 0.5) (log c))
39.0ms	(* x (log y))

simplify72.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	647	1027
1	2625	970
2	5001	954
done	5001	954

prune398.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

13.0ms	(* x (log (cbrt y)))
26.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series560.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* x (log (cbrt y)))
102.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
181.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify51.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547
done	5001	547

prune600.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))

series861.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
182.0ms	(cbrt y)
254.0ms	(cbrt (cbrt y))
243.0ms	(cbrt (cbrt y))

simplify48.0ms

Counts

62 → 62

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	71	226
1	141	210
2	357	202
3	1377	202
4	5001	202
done	5001	202

prune464.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
5.0ms	(cbrt (cbrt y))

series915.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
247.0ms	(cbrt (cbrt y))
242.0ms	(cbrt (cbrt y))
243.0ms	(cbrt (cbrt y))

simplify48.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	71	261
1	141	243
2	357	235
3	1377	235
4	5001	235
done	5001	235

prune490.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes614.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	24
1	44	24
done	44	24

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.3s	27129×	body	80	nan
534.0ms	9175×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid