Details

sample215.0ms

Algorithm

intervals

Results

74.0ms	1568×	body	80	nan
30.0ms	511×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	65	18
3	179	16
4	487	16
5	1671	16
done	5001	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `exp-sum` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 95

Calls

4 calls:

24.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
175.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series401.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (- t 1.0) (log a))
37.0ms	(* y (log z))
122.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
184.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify833.0ms

Counts

107 → 107

Iterations

Useful iterations: done (830.0ms)

Iter	Nodes	Cost
0	231	1531
1	493	1495
2	1466	1209
done	5000	1155

prune363.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.1b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
21×	`add-exp-log`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod`
11×	`pow1`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in` `prod-exp`
5×	`pow-unpow` `div-exp`
4×	`pow-exp` `add-log-exp`
3×	`unpow-prod-up` `unpow-prod-down` `times-frac` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `pow-to-exp` `e-exp-1` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `pow-sub` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `pow-pow` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `flip--` `div-inv` `associate-/l/` `associate-/l` `sqr-pow`

Counts

4 → 103

Calls

4 calls:

23.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
26.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
24.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series427.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- t 1.0) (log a))
40.0ms	(* y (log z))
131.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
200.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify857.0ms

Counts

115 → 115

Iterations

Useful iterations: done (854.0ms)

Iter	Nodes	Cost
0	250	1842
1	545	1727
2	1595	1540
done	5000	1489

prune368.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
7.3b	(* (/ x y) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt` `associate-l`
14×	`associate-r`
13×	`add-cbrt-cube`
12×	`pow1` `log-prod`
11×	`add-exp-log`
10×	`times-frac` `add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
5×	`exp-prod`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`exp-diff` `pow-prod-down` `associate-l/` `-commutative` `rem-exp-log`
2×	`sub-neg` `diff-log` `associate--l+` `log-pow` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `frac-times` `flip3--` `associate-*r/` `div-exp` `sum-log` `flip--` `div-inv`

Counts

4 → 110

Calls

4 calls:

24.0ms	(* (- t 1.0) (log a))
8.0ms	(* y (log z))
72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
239.0ms	(* (/ x y) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))

series413.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- t 1.0) (log a))
38.0ms	(* y (log z))
126.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
187.0ms	(* (/ x y) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))

simplify858.0ms

Counts

122 → 122

Iterations

Useful iterations: done (855.0ms)

Iter	Nodes	Cost
0	249	1844
1	539	1808
2	1540	1476
done	5000	1427

prune422.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y)
0.2b	(pow a (- t 1.0))
0.3b	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
1.2b	(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-exp-log`
59×	`add-sqr-sqrt`
53×	`div-exp`
50×	`prod-exp`
42×	`times-frac`
38×	`associate-r`
32×	`add-cbrt-cube`
31×	`*-un-lft-identity`
29×	`add-cube-cbrt`
22×	`pow-to-exp` `unpow-prod-down` `pow-exp`
13×	`unswap-sqr`
12×	`sqr-pow`
10×	`associate-l` `cbrt-unprod`
9×	`cbrt-undiv`
8×	`unpow-prod-up`
7×	`pow1`
5×	`pow-unpow`
4×	`sub-neg` `add-log-exp`
3×	`associate-r/` `associate-/r` `div-inv`
2×	`*-commutative`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `associate-/l/` `associate-/l*` `distribute-lft-out--` `pow-sub` `difference-of-squares`

Counts

4 → 168

Calls

4 calls:

21.0ms	(/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y)
6.0ms	(pow a (- t 1.0))
34.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
44.0ms	(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))

series704.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y)
59.0ms	(pow a (- t 1.0))
189.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
234.0ms	(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))

simplify1.2s

Counts

180 → 180

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	301	3277
1	810	3118
2	2991	2718
done	5000	2697

prune501.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes481.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.1b and baseline of 2.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	24	19
2	26	19
done	26	19

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.1s	45593×	body	80	nan
874.0ms	15210×	body	80	valid