Details

sample305.0ms

Algorithm

intervals

Results

173.0ms	1606×	body	80	nan
26.0ms	258×	body	80	valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	456
1	27	456
2	59	456
3	147	456
4	374	456
5	899	456
6	1574	456
7	3868	456
done	5002	456

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize55.0ms

Local error

Found 3 expressions with local error:

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

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

23.0ms	(* (- a 0.5) (log t))
243.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
19.0ms	(+ (log (+ x y)) (log z))

series482.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* (- a 0.5) (log t))
311.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
96.0ms	(+ (log (+ x y)) (log z))

simplify2.4s

Counts

89 → 89

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	226	37307
1	606	34046
2	2184	32617
done	5007	32495

prune780.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 3 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

106.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
29.0ms	(* (- a 0.5) (log t))
41.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series548.0ms

Counts

3 → 9

Calls

3 calls:

342.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
63.0ms	(* (- a 0.5) (log t))
143.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify2.2s

Counts

89 → 89

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	230	38854
1	645	35693
2	2136	34525
done	5000	34403

prune749.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

10.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.5s

Counts

4 → 12

Calls

4 calls:

289.0ms	(* (cbrt z) (cbrt z))
677.0ms	(cbrt z)
253.0ms	(cbrt z)
292.0ms	(cbrt z)

simplify3.8s

Counts

85 → 85

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	61	17134
1	136	14621
2	377	14346
3	971	13666
4	3114	13666
done	5028	13626

prune742.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

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)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

9.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.2s

Counts

4 → 12

Calls

4 calls:

310.0ms	(* (cbrt t) (cbrt t))
315.0ms	(cbrt t)
290.0ms	(cbrt t)
260.0ms	(cbrt t)

simplify4.9s

Counts

85 → 85

Iterations

Useful iterations: 3 (383.0ms)

Iter	Nodes	Cost
0	61	17134
1	136	14621
2	377	14346
3	1034	13666
4	3735	13666
done	5007	13666

prune689.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	686
1	24	686
done	24	686

end0.0ms

sample12.0s

Algorithm

intervals

Results

7.4s	55463×	body	80	nan
1.5s	8024×	body	80	valid