Details

sample449.0ms

Algorithm

intervals

Results

212.0ms	1482×	body	80	nan
62.0ms	486×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (27.0ms)

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

localize39.0ms

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))

rewrite466.0ms

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:

31.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
293.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
127.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series684.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (- t 1.0) (log a))
61.0ms	(* y (log z))
342.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
172.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.7s

Counts

124 → 124

Iterations

Useful iterations: done (1.7s)

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

prune608.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.6b	(/ (* x (exp (- (+ (pow (* y (log z)) 1) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (pow (* y (log z)) 1) (* (- t 1.0) (log a))) b))

rewrite425.0ms

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:

35.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
260.0ms	(/ (* x (exp (- (+ (pow (* y (log z)) 1) (* (- t 1.0) (log a))) b))) y)
117.0ms	(exp (- (+ (pow (* y (log z)) 1) (* (- t 1.0) (log a))) b))

series668.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (- t 1.0) (log a))
59.0ms	(* y (log z))
319.0ms	(/ (* x (exp (- (+ (pow (* y (log z)) 1) (* (- t 1.0) (log a))) b))) y)
197.0ms	(exp (- (+ (pow (* y (log z)) 1) (* (- t 1.0) (log a))) b))

simplify1.6s

Counts

124 → 124

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	277	2165
1	585	1895
2	1695	1505
done	5000	1399

prune728.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

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-r`
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-l` `cbrt-unprod`
6×	`associate-/r*`
5×	`pow1` `pow-unpow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-*r/` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l/` `pow-sub`
1×	`pow-pow` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 265

Calls

4 calls:

12.0ms	(pow a (- t 1.0))
68.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
100.0ms	(/ (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) y)
22.0ms	(/ (pow a (- t 1.0)) (exp b))

series930.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(pow a (- t 1.0))
277.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
406.0ms	(/ (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) y)
152.0ms	(/ (pow a (- t 1.0)) (exp b))

simplify2.3s

Counts

277 → 277

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	423	5418
1	1010	4714
2	3400	4141
done	5000	4049

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite301.0ms

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-r`
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`
11×	`associate-*r/`
8×	`div-inv`
7×	`sub-neg` `associate-l`
6×	`associate-/r/`
5×	`pow1`
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:

124.0ms	(/ 1 (/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))))
57.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
69.0ms	(/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))
30.0ms	(/ (pow a (- t 1.0)) (exp b))

series1.1s

Counts

4 → 12

Calls

4 calls:

349.0ms	(/ 1 (/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))))
262.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
344.0ms	(/ y (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))
129.0ms	(/ (pow a (- t 1.0)) (exp b))

simplify2.6s

Counts

344 → 344

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	517	7414
1	1214	6559
2	3702	5712
done	5000	5617

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes515.0ms

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

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

end0.0ms

sample14.4s

Algorithm

intervals

Results

7.3s	45302×	body	80	nan
2.3s	15154×	body	80	valid