Details

sample173.0ms

Algorithm

intervals

Results

61.0ms	1125×	body	80	nan
24.0ms	397×	body	80	valid
3.0ms	14×	body	320	valid
2.0ms	5×	body	640	valid
1.0ms	4×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (46.0ms)

Iter	Nodes	Cost
0	17	18
1	30	18
2	58	18
3	127	18
4	311	17
5	1010	17
done	5000	17

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.2b	(log (- 1.0 z))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
32×	`associate--l+`
24×	`distribute-rgt-in` `distribute-lft-in`
17×	`add-cube-cbrt`
14×	`associate-+r+`
12×	`associate-r/` `associate-r*`
11×	`pow1`
10×	`associate-+l+`
9×	`add-exp-log` `distribute-lft-out--`
8×	`sub-neg` `add-cbrt-cube`
7×	`flip3--` `flip--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
4×	`frac-add`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 125

Calls

4 calls:

30.0ms	(* a (- (log (- 1.0 z)) b))
27.0ms	(* y (- (log z) t))
26.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0ms	(log (- 1.0 z))

series381.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* a (- (log (- 1.0 z)) b))
72.0ms	(* y (- (log z) t))
192.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
42.0ms	(log (- 1.0 z))

simplify810.0ms

Counts

137 → 137

Iterations

Useful iterations: done (806.0ms)

Iter	Nodes	Cost
0	285	1993
1	679	1887
2	2011	1769
done	5000	1740

prune429.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (- (* a (- (log 1.0) b)) (* 1.0 (* a z))))))
0.0b	(- (* a (- (log 1.0) b)) (* 1.0 (* a z)))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (- (* a (- (log 1.0) b)) (* 1.0 (* a z))))

rewrite473.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

371.0ms	(* x (exp (+ (* y (- (log z) t)) (- (* a (- (log 1.0) b)) (* 1.0 (* a z))))))
23.0ms	(- (* a (- (log 1.0) b)) (* 1.0 (* a z)))
25.0ms	(* y (- (log z) t))
50.0ms	(+ (* y (- (log z) t)) (- (* a (- (log 1.0) b)) (* 1.0 (* a z))))

series487.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* x (exp (+ (* y (- (log z) t)) (- (* a (- (log 1.0) b)) (* 1.0 (* a z))))))
76.0ms	(- (* a (- (log 1.0) b)) (* 1.0 (* a z)))
71.0ms	(* y (- (log z) t))
161.0ms	(+ (* y (- (log z) t)) (- (* a (- (log 1.0) b)) (* 1.0 (* a z))))

simplify872.0ms

Counts

126 → 126

Iterations

Useful iterations: done (868.0ms)

Iter	Nodes	Cost
0	246	2531
1	617	2420
2	2166	2249
done	5000	2232

prune441.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series738.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt x) (cbrt x))
176.0ms	(cbrt x)
189.0ms	(cbrt x)
180.0ms	(cbrt x)

simplify3.3s

Counts

85 → 85

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune334.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes137.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	22
1	25	22
done	25	22

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.1s	40585×	body	80	nan
750.0ms	12389×	body	80	valid
124.0ms	363×	body	640	valid
88.0ms	420×	body	320	valid
55.0ms	77×	body	1280	valid
39.0ms	299×	body	160	valid