Details

sample319.0ms

Algorithm

intervals

Results

186.0ms	1550×	body	80	nan
34.0ms	256×	body	80	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	3868
6	1574
5	899
4	374
3	147
2	59
1	27
0	15

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite454.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
41×	`distribute-lft-out`
35×	`add-log-exp`
33×	`log-prod`
27×	`pow1` `distribute-lft-out--`
23×	`associate-+l+`
22×	`add-sqr-sqrt`
21×	`log-pow`
18×	`sum-log` `associate--l+`
17×	`associate-l`
16×	`add-cube-cbrt`
15×	`associate-+r+`
10×	`diff-log`
9×	`associate-+l-`
6×	`distribute-rgt-in` `log-div` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--`
5×	`flip3-+` `flip-+`
4×	`associate--l-` `+-commutative` `associate-r` `frac-add` `insert-posit16`
2×	`sub-neg` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

59.0ms	(- (+ (log (+ x y)) (log z)) t)
344.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
33.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series780.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(- (+ (log (+ x y)) (log z)) t)
291.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
117.0ms	(* (- a 0.5) (log t))
91.0ms	(+ (log (+ x y)) (log z))

simplify2.2s

Counts

163 → 163

Iterations

Iter	Nodes
done	5002
2	2432
1	690
0	268

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 102

Calls

4 calls:

8.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))
50.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

series904.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt (+ x y))
184.0ms	(cbrt (+ x y))
212.0ms	(cbrt (+ x y))
309.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify1.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
3	1840
2	697
1	295
0	121

prune842.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (log (+ x y)) (log (sqrt z))) (+ (- (log (sqrt z)) t) (* (- a 0.5) (log t))))
0.1b	(* (- a 0.5) (log t))
0.2b	(+ (- (log (sqrt z)) t) (* (- a 0.5) (log t)))
0.5b	(+ (log (+ x y)) (log (sqrt z)))

rewrite634.0ms

Algorithm

rewrite-expression-head

Rules

231×	`*-un-lft-identity`
150×	`distribute-lft-out`
75×	`add-log-exp`
69×	`pow1`
63×	`log-pow`
58×	`sum-log`
55×	`distribute-lft-out--`
50×	`log-prod`
41×	`associate-l`
40×	`associate-+r+`
36×	`associate-+l+`
26×	`add-sqr-sqrt`
24×	`frac-add`
22×	`add-cube-cbrt`
14×	`associate-*l/`
13×	`flip3-+` `flip3--` `flip-+` `flip--`
12×	`diff-log` `associate--l+` `sqrt-prod`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-+l-`
6×	`add-cbrt-cube` `add-exp-log`
5×	`+-commutative`
4×	`log-div` `associate-r` `insert-posit16`
2×	`sub-neg`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 227

Calls

4 calls:

448.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (+ (- (log (sqrt z)) t) (* (- a 0.5) (log t))))
22.0ms	(* (- a 0.5) (log t))
131.0ms	(+ (- (log (sqrt z)) t) (* (- a 0.5) (log t)))
15.0ms	(+ (log (+ x y)) (log (sqrt z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

515.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (+ (- (log (sqrt z)) t) (* (- a 0.5) (log t))))
113.0ms	(* (- a 0.5) (log t))
201.0ms	(+ (- (log (sqrt z)) t) (* (- a 0.5) (log t)))
249.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify3.1s

Counts

239 → 239

Iterations

Iter	Nodes
done	5002
2	4851
1	1128
0	381

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 80

Calls

4 calls:

11.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

337.0ms	(* (cbrt t) (cbrt t))
344.0ms	(cbrt t)
277.0ms	(cbrt t)
310.0ms	(cbrt t)

simplify3.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5006
4	4308
3	1189
2	427
1	151
0	66

prune758.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample14.3s

Algorithm

intervals

Results

9.1s	55732×	body	80	nan
1.4s	8028×	body	80	valid