Details

sample186.0ms

Algorithm

intervals

Results

78.0ms	1464×	body	80	nan
31.0ms	483×	body	80	valid

simplify732.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	64	18
3	157	16
4	469	16
5	1875	16
done	5001	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

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:

11.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
31.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
80.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series374.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (- t 1.0) (log a))
37.0ms	(* y (log z))
114.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
167.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify504.0ms

Counts

107 → 107

Iterations

Useful iterations: done (501.0ms)

Iter	Nodes	Cost
0	231	1531
1	494	1495
2	1451	1213
done	5001	1184

prune380.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.3b	(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)

rewrite39.0ms

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:

11.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
11.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
10.0ms	(/ (* x (pow E (- (+ (* 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))
36.0ms	(* y (log z))
124.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
184.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify581.0ms

Counts

115 → 115

Iterations

Useful iterations: done (577.0ms)

Iter	Nodes	Cost
0	250	1842
1	552	1727
2	1606	1544
done	5001	1515

prune411.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
0.2b	(pow a (- t 1.0))
0.4b	(/ x (/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))
0.5b	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-exp-log`
75×	`times-frac`
71×	`add-sqr-sqrt`
67×	`div-exp`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
36×	`prod-exp`
32×	`add-cbrt-cube`
31×	`associate-r`
22×	`pow-to-exp` `unpow-prod-down` `pow-exp`
13×	`cbrt-undiv`
12×	`unswap-sqr` `sqr-pow`
9×	`associate-/r*`
8×	`unpow-prod-up`
7×	`associate-l` `div-inv`
6×	`associate-r/` `associate-/r/` `cbrt-unprod` `associate-/l`
5×	`pow1` `pow-unpow`
4×	`sub-neg` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-pow` `*-commutative` `distribute-lft-out--` `pow-sub` `difference-of-squares`

Counts

4 → 193

Calls

4 calls:

12.0ms	(/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
3.0ms	(pow a (- t 1.0))
12.0ms	(/ x (/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))
22.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))

series646.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
57.0ms	(pow a (- t 1.0))
217.0ms	(/ x (/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))
170.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))

simplify1.2s

Counts

205 → 205

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	353	3924
1	932	3751
2	3522	3351
done	5000	3345

prune638.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow a (- 1.0)) (exp b))
0.1b	(/ y (* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b))))
0.4b	(/ x (/ y (* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b)))))
0.5b	(* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

379×	`add-exp-log`
228×	`prod-exp`
217×	`div-exp`
103×	`pow-to-exp` `pow-exp`
81×	`times-frac`
61×	`add-cbrt-cube`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
25×	`associate-r`
23×	`cbrt-undiv`
21×	`unpow-prod-down`
18×	`cbrt-unprod`
13×	`associate-/l*`
12×	`associate-/r*`
8×	`div-inv`
7×	`sqr-pow`
6×	`pow1` `associate-*r/` `associate-/r/`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`neg-sub0` `pow-neg` `associate-l` `pow-prod-down` `*-commutative` `pow-sub`

Counts

4 → 285

Calls

4 calls:

5.0ms	(/ (pow a (- 1.0)) (exp b))
17.0ms	(/ y (* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b))))
25.0ms	(/ x (/ y (* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b)))))
21.0ms	(* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b)))

series1.2s

Counts

4 → 12

Calls

4 calls:

287.0ms	(/ (pow a (- 1.0)) (exp b))
271.0ms	(/ y (* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b))))
389.0ms	(/ x (/ y (* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b)))))
285.0ms	(* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b)))

simplify1.4s

Counts

297 → 297

Iterations

Useful iterations: 2 (655.0ms)

Iter	Nodes	Cost
0	381	6420
1	1088	6045
2	4287	5320
done	5000	5320

prune673.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes398.0ms

Accuracy

-0.9% (2.1b remaining)

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

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	33	73
1	42	56
done	42	56

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.3s	44542×	body	80	nan
967.0ms	15166×	body	80	valid