Details

sample311.0ms

Algorithm

intervals

Results

136.0ms	1364×	body	80	nan
45.0ms	469×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (59.0ms)

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite407.0ms

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:

31.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
106.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
258.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series612.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (- t 1.0) (log a))
69.0ms	(* y (log z))
192.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
268.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.3s

Counts

107 → 107

Iterations

Useful iterations: done (1.3s)

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

prune515.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.3b	(* (pow a (- t 1.0)) (pow z y))
0.4b	(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))
0.7b	(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-exp-log`
65×	`prod-exp`
61×	`div-exp`
36×	`add-cbrt-cube`
35×	`add-sqr-sqrt`
31×	`pow-to-exp` `pow-exp`
23×	`*-un-lft-identity` `times-frac`
21×	`add-cube-cbrt`
15×	`unpow-prod-down`
13×	`cbrt-undiv`
9×	`associate-l` `cbrt-unprod` `unswap-sqr` `sqr-pow`
7×	`associate-r` `associate-/r*` `pow-sub`
6×	`associate-*l/` `associate-/r/` `div-inv`
5×	`pow1` `pow-unpow`
4×	`unpow-prod-up` `associate-/l*` `add-log-exp`
2×	`sub-neg` `frac-2neg` `clear-num`
1×	`pow-pow` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 168

Calls

4 calls:

6.0ms	(pow a (- t 1.0))
20.0ms	(* (pow a (- t 1.0)) (pow z y))
32.0ms	(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))
21.0ms	(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))

series949.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(pow a (- t 1.0))
192.0ms	(* (pow a (- t 1.0)) (pow z y))
345.0ms	(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))
325.0ms	(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))

simplify2.0s

Counts

180 → 180

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	283	3364
1	753	3156
2	2946	2797
done	5000	2745

prune835.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp b))
0.3b	(* (pow a t) (pow z y))
0.4b	(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))
0.7b	(/ (* y (exp b)) (* (pow a t) (pow z y)))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

311×	`add-exp-log`
185×	`prod-exp`
144×	`div-exp`
75×	`pow-to-exp` `pow-exp`
45×	`add-cbrt-cube`
26×	`add-sqr-sqrt`
15×	`cbrt-unprod`
14×	`cbrt-undiv`
12×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
10×	`associate-r` `associate-l` `unswap-sqr`
8×	`sqr-pow`
6×	`pow1`
4×	`times-frac` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r` `-commutative` `div-inv`
1×	`pow-prod-down` `associate-*l/` `associate-/r/`

Counts

4 → 184

Calls

4 calls:

23.0ms	(* y (exp b))
35.0ms	(* (pow a t) (pow z y))
103.0ms	(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))
39.0ms	(/ (* y (exp b)) (* (pow a t) (pow z y)))

series876.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* y (exp b))
134.0ms	(* (pow a t) (pow z y))
458.0ms	(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))
253.0ms	(/ (* y (exp b)) (* (pow a t) (pow z y)))

simplify1.6s

Counts

196 → 196

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	283	3616
1	796	3339
2	2983	2899
done	5000	2871

prune661.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ (* (pow a t) (pow z y)) (* y (exp b))) (pow a 1.0))
0.3b	(* (pow a t) (pow z y))
0.5b	(* x (/ (/ (* (pow a t) (pow z y)) (* y (exp b))) (pow a 1.0)))
0.8b	(/ (* (pow a t) (pow z y)) (* y (exp b)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

493×	`add-exp-log`
269×	`prod-exp`
266×	`div-exp`
132×	`pow-to-exp` `pow-exp`
89×	`times-frac`
69×	`add-sqr-sqrt`
61×	`add-cbrt-cube`
47×	`add-cube-cbrt` `*-un-lft-identity`
46×	`unpow-prod-down` `associate-r`
22×	`cbrt-undiv`
20×	`sqr-pow`
19×	`cbrt-unprod`
18×	`div-inv`
13×	`unswap-sqr`
10×	`associate-l`
8×	`associate-/r*`
6×	`pow1` `associate-/l*`
4×	`add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`associate-*r/` `pow-prod-down` `associate-/l/`

Counts

4 → 330

Calls

4 calls:

36.0ms	(/ (/ (* (pow a t) (pow z y)) (* y (exp b))) (pow a 1.0))
21.0ms	(* (pow a t) (pow z y))
88.0ms	(* x (/ (/ (* (pow a t) (pow z y)) (* y (exp b))) (pow a 1.0)))
33.0ms	(/ (* (pow a t) (pow z y)) (* y (exp b)))

series1.4s

Counts

4 → 12

Calls

4 calls:

515.0ms	(/ (/ (* (pow a t) (pow z y)) (* y (exp b))) (pow a 1.0))
123.0ms	(* (pow a t) (pow z y))
481.0ms	(* x (/ (/ (* (pow a t) (pow z y)) (* y (exp b))) (pow a 1.0)))
238.0ms	(/ (* (pow a t) (pow z y)) (* y (exp b)))

simplify2.9s

Counts

342 → 342

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	384	7323
1	1024	6809
2	4073	6164
done	5000	6082

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes345.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	24	27
1	37	27
2	44	25
3	50	25
done	50	25

end0.0ms

sample13.4s

Algorithm

intervals

Results

5.8s	45591×	body	80	nan
3.1s	15131×	body	80	valid