Details

sample467.0ms

Algorithm

intervals

Results

220.0ms	1482×	body	80	nan
60.0ms	486×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	17	18
1	33	17
2	73	17
3	189	16
4	514	16
5	1747	16
done	5000	16

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.6b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod` `exp-sum`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `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 → 112

Calls

4 calls:

48.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
269.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
146.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series644.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (- t 1.0) (log a))
51.0ms	(* y (log z))
287.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
213.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.6s

Counts

124 → 124

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	275	2031
1	580	1829
2	1657	1505
done	5000	1399

prune587.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.6b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite503.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod` `exp-sum`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `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 → 112

Calls

4 calls:

48.0ms	(* (- t 1.0) (log a))
17.0ms	(* y (log z))
305.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
127.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series653.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (- t 1.0) (log a))
68.0ms	(* y (log z))
264.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
212.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.5s

Counts

124 → 124

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	275	2031
1	580	1829
2	1657	1505
done	5000	1399

prune648.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow a (- t 1.0))
0.5b	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
0.6b	(/ (* x (* (/ (pow a (- t 1.0)) (exp b)) (pow z y))) y)
0.7b	(/ (pow a (- t 1.0)) (exp b))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

138×	`add-sqr-sqrt`
120×	`times-frac`
112×	`*-un-lft-identity`
110×	`add-cube-cbrt`
88×	`unpow-prod-up`
72×	`prod-diff`
70×	`add-exp-log`
58×	`associate-l`
37×	`prod-exp`
35×	`div-exp`
34×	`unpow-prod-down`
25×	`add-cbrt-cube`
19×	`associate-/l*`
16×	`pow-to-exp` `pow-exp` `sqr-pow`
12×	`unswap-sqr`
8×	`sub-neg`
7×	`cbrt-undiv` `associate-r` `cbrt-unprod`
6×	`associate-/r*`
5×	`pow1` `pow-unpow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `associate-*l/` `clear-num` `associate-/l/` `pow-sub`
1×	`pow-pow` `associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 265

Calls

4 calls:

8.0ms	(pow a (- t 1.0))
77.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
91.0ms	(/ (* x (* (/ (pow a (- t 1.0)) (exp b)) (pow z y))) y)
19.0ms	(/ (pow a (- t 1.0)) (exp b))

series847.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(pow a (- t 1.0))
281.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
357.0ms	(/ (* x (* (/ (pow a (- t 1.0)) (exp b)) (pow z y))) y)
113.0ms	(/ (pow a (- t 1.0)) (exp b))

simplify1.8s

Counts

277 → 277

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	404	5352
1	968	4667
2	3010	4101
done	5002	4046

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ y (* x (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)))))
0.5b	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
0.5b	(/ y (* x (* (/ (pow a (- t 1.0)) (exp b)) (pow z y))))
0.7b	(/ (pow a (- t 1.0)) (exp b))

rewrite401.0ms

Algorithm

rewrite-expression-head

Rules

225×	`add-exp-log`
156×	`times-frac`
145×	`add-sqr-sqrt`
134×	`div-exp`
119×	`add-cube-cbrt` `*-un-lft-identity`
112×	`prod-exp`
77×	`unpow-prod-up`
63×	`prod-diff`
58×	`associate-l`
45×	`add-cbrt-cube`
36×	`pow-to-exp` `pow-exp`
31×	`unpow-prod-down`
24×	`associate-/l*`
17×	`cbrt-undiv`
15×	`rec-exp` `1-exp` `sqr-pow`
12×	`associate-/r*` `cbrt-unprod` `unswap-sqr`
8×	`div-inv`
7×	`sub-neg` `associate-r`
6×	`associate-*l/` `associate-/r/`
5×	`pow1` `associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`pow-flip` `*-commutative` `associate-/l/` `inv-pow` `pow-sub`

Counts

4 → 332

Calls

4 calls:

169.0ms	(/ 1 (/ y (* x (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)))))
95.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
82.0ms	(/ y (* x (* (/ (pow a (- t 1.0)) (exp b)) (pow z y))))
36.0ms	(/ (pow a (- t 1.0)) (exp b))

series1.0s

Counts

4 → 12

Calls

4 calls:

340.0ms	(/ 1 (/ y (* x (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)))))
235.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))
303.0ms	(/ y (* x (* (/ (pow a (- t 1.0)) (exp b)) (pow z y))))
138.0ms	(/ (pow a (- t 1.0)) (exp b))

simplify2.2s

Counts

344 → 344

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	497	7347
1	1172	6530
2	3331	5663
done	5000	5605

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes537.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	20
1	25	18
done	25	18

end0.0ms

sample14.7s

Algorithm

intervals

Results

7.7s	45302×	body	80	nan
2.1s	15154×	body	80	valid