Details

sample147.0ms

Algorithm

intervals

Results

51.0ms	948×	body	80	nan
17.0ms	296×	body	80	valid

simplify9.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	99	21
3	388	21
4	1231	21
5	3127	21
6	4656	21
done	5000	21

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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

rewrite614.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-log-exp`
20×	`add-sqr-sqrt`
18×	`log-prod` `*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`sum-log`
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` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

547.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
34.0ms	(+ (+ (* x (log y)) z) t)
22.0ms	(* (- b 0.5) (log c))
8.0ms	(* x (log y))

series390.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
48.0ms	(+ (+ (* x (log y)) z) t)
55.0ms	(* (- b 0.5) (log c))
40.0ms	(* x (log y))

simplify885.0ms

Counts

105 → 105

Iterations

Useful iterations: done (882.0ms)

Iter	Nodes	Cost
0	240	1648
1	609	1560
2	2253	1453
done	5000	1436

prune401.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2 (log (cbrt c))) (- b 0.5))
0.3b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
6×	`cbrt-prod` `log-prod`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`sub-neg` `pow1/3` `associate-r/` `-commutative`
1×	`flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

30.0ms	(* (* 2 (log (cbrt c))) (- b 0.5))
11.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series593.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (* 2 (log (cbrt c))) (- b 0.5))
38.0ms	(* x (log y))
190.0ms	(cbrt c)
185.0ms	(cbrt c)

simplify2.7s

Counts

85 → 85

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	151	734
1	330	698
2	1069	564
3	4666	546
done	5000	546

prune403.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt (pow c 2/3))
6.1b	(pow c 2/3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
2.0ms	(cbrt (pow c 2/3))
2.0ms	(pow c 2/3)

series727.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt c)
182.0ms	(cbrt c)
193.0ms	(cbrt (pow c 2/3))
171.0ms	(pow c 2/3)

simplify1.2s

Counts

66 → 66

Iterations

Useful iterations: 4 (409.0ms)

Iter	Nodes	Cost
0	75	385
1	140	339
2	256	307
3	576	293
4	1762	288
done	5001	288

prune397.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow c 2/3))
5.5b	(pow (pow c 2/3) 2/3)
6.1b	(pow c 2/3)
6.1b	(pow c 2/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

19×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-unpow`
8×	`add-exp-log`
7×	`cbrt-prod`
6×	`pow1` `pow-exp`
5×	`sqr-pow`
4×	`pow-to-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-pow`
1×	`pow1/3`

Counts

4 → 72

Calls

4 calls:

2.0ms	(cbrt (pow c 2/3))
5.0ms	(pow (pow c 2/3) 2/3)
2.0ms	(pow c 2/3)
2.0ms	(pow c 2/3)

series804.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (pow c 2/3))
283.0ms	(pow (pow c 2/3) 2/3)
169.0ms	(pow c 2/3)
169.0ms	(pow c 2/3)

simplify2.6s

Counts

84 → 84

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	86	604
1	171	534
2	347	463
3	893	447
4	4021	430
done	5000	400

prune526.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes582.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	46
1	48	46
done	48	46

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.4s	27704×	body	80	nan
558.0ms	9220×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid