Details

sample261.0ms

Algorithm

intervals

Results

117.0ms	966×	body	80	nan
61.0ms	296×	body	80	valid

simplify4.9s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

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))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite4.3s

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-+` `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:

917.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
3.3s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
32.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series1.2s

Counts

4 → 12

Calls

4 calls:

328.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
773.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
102.0ms	(* (- b 0.5) (log c))
46.0ms	(* x (log y))

simplify2.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	5015
2	2445
1	660
0	252

prune862.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

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:

24.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

145.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* (log (cbrt y)) x))
311.0ms	(cbrt y)
329.0ms	(cbrt y)
269.0ms	(cbrt y)

simplify3.2s

Counts

62 → 62

Iterations

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

prune718.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

2.0ms	(cbrt (sqrt y))
1.0ms	(cbrt (sqrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt (sqrt y))
285.0ms	(cbrt (sqrt y))
254.0ms	(cbrt y)
208.0ms	(cbrt y)

simplify3.0s

Counts

66 → 66

Iterations

Iter	Nodes
done	5036
4	4083
3	817
2	254
1	111
0	57

prune756.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt y)
4.9b	(pow y 1/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))
8.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series895.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt (sqrt y))
198.0ms	(cbrt (sqrt y))
223.0ms	(cbrt y)
247.0ms	(pow y 1/3)

simplify2.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5006
4	3556
3	1168
2	462
1	195
0	86

prune859.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes1.5s

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	46
1	46
0	34

end0.0ms

sample8.4s

Algorithm

intervals

Results

5.0s	27462×	body	80	nan
1.5s	9119×	body	80	valid
2.0ms	4×	body	640	valid