Details

sample187.0ms

Algorithm

intervals

Results

75.0ms	1490×	body	80	nan
30.0ms	505×	body	80	valid

simplify759.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	64	18
3	157	16
4	470	16
5	1960	16
done	5001	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log z))
0.3b	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

4.0ms	(* y (log z))
101.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
79.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
35.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series476.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* y (log z))
151.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
172.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
116.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify629.0ms

Counts

100 → 100

Iterations

Useful iterations: done (626.0ms)

Iter	Nodes	Cost
0	186	1711
1	412	1676
2	1658	1308
done	5000	1302

prune389.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log z) y)
0.3b	(* (log a) t)
0.8b	(/ (/ (/ x (pow a 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y)))) y)
7.4b	(/ (/ x (pow a 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y))))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

2171×	`times-frac`
827×	`add-sqr-sqrt`
823×	`add-cube-cbrt` `*-un-lft-identity`
504×	`exp-sum`
324×	`unpow-prod-down`
252×	`sub-neg` `associate--l+`
205×	`associate-/l*`
108×	`sqr-pow`
42×	`div-inv`
26×	`add-exp-log`
22×	`add-cbrt-cube`
19×	`div-exp`
10×	`pow1` `associate-/r*`
9×	`cbrt-undiv`
8×	`associate-l`
6×	`associate-r`
5×	`exp-diff` `associate-/r/`
4×	`add-log-exp`
2×	`pow-to-exp` `frac-2neg` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `log-pow` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 1005

Calls

4 calls:

3.0ms	(* (log z) y)
3.0ms	(* (log a) t)
92.0ms	(/ (/ (/ x (pow a 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y)))) y)
39.0ms	(/ (/ x (pow a 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y))))

series802.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (log z) y)
63.0ms	(* (log a) t)
329.0ms	(/ (/ (/ x (pow a 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y)))) y)
345.0ms	(/ (/ x (pow a 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y))))

simplify1.1s

Counts

1017 → 1017

Iterations

Useful iterations: 1 (360.0ms)

Iter	Nodes	Cost
0	1311	34027
1	3085	30630
done	5001	30630

prune3.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 1 (pow a 1.0)) (/ 1 (pow z y)))
0.0b	(/ 1 (pow z y))
0.3b	(* (/ x (/ (exp b) (pow a t))) (/ (/ 1 (pow a 1.0)) (/ 1 (pow z y))))
0.8b	(/ (* (/ x (/ (exp b) (pow a t))) (/ (/ 1 (pow a 1.0)) (/ 1 (pow z y)))) y)

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

4569×	`times-frac`
4346×	`add-exp-log` `div-exp`
2634×	`add-sqr-sqrt`
1729×	`*-un-lft-identity`
1519×	`add-cube-cbrt`
1147×	`unpow-prod-down`
1010×	`prod-exp`
865×	`pow-to-exp` `pow-exp`
663×	`rec-exp` `1-exp`
630×	`associate-r`
509×	`sqr-pow`
250×	`unswap-sqr`
173×	`add-cbrt-cube`
110×	`div-inv`
103×	`cbrt-undiv`
80×	`associate-l`
35×	`associate-/r*`
30×	`cbrt-unprod`
29×	`associate-/l*`
6×	`pow1`
4×	`associate-/l/` `add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/r/`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 2878

Calls

4 calls:

29.0ms	(/ (/ 1 (pow a 1.0)) (/ 1 (pow z y)))
4.0ms	(/ 1 (pow z y))
727.0ms	(* (/ x (/ (exp b) (pow a t))) (/ (/ 1 (pow a 1.0)) (/ 1 (pow z y))))
86.0ms	(/ (* (/ x (/ (exp b) (pow a t))) (/ (/ 1 (pow a 1.0)) (/ 1 (pow z y)))) y)

series942.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(/ (/ 1 (pow a 1.0)) (/ 1 (pow z y)))
54.0ms	(/ 1 (pow z y))
334.0ms	(* (/ x (/ (exp b) (pow a t))) (/ (/ 1 (pow a 1.0)) (/ 1 (pow z y))))
366.0ms	(/ (* (/ x (/ (exp b) (pow a t))) (/ (/ 1 (pow a 1.0)) (/ 1 (pow z y)))) y)

simplify808.0ms

Counts

2890 → 2890

Iterations

Useful iterations: 0 (212.0ms)

Iter	Nodes	Cost
0	2735	80819
done	5000	80819

prune12.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow a (- t 1.0)) (pow z y))
0.1b	(pow a (- t 1.0))
0.3b	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
1.2b	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-exp-log`
86×	`prod-exp`
40×	`div-exp`
36×	`add-cbrt-cube`
31×	`pow-to-exp` `pow-exp`
28×	`add-sqr-sqrt`
15×	`unpow-prod-down`
14×	`*-un-lft-identity` `cbrt-unprod`
12×	`add-cube-cbrt` `associate-r` `associate-l`
10×	`unswap-sqr`
9×	`sqr-pow`
8×	`cbrt-undiv`
7×	`pow1`
5×	`pow-unpow`
4×	`unpow-prod-up` `add-log-exp`
3×	`pow-sub`
2×	`sub-neg` `times-frac` `associate-l/` `-commutative` `div-inv`
1×	`pow-pow` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `associate-/l/` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 149

Calls

4 calls:

10.0ms	(* (pow a (- t 1.0)) (pow z y))
3.0ms	(pow a (- t 1.0))
11.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
20.0ms	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

series650.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (pow a (- t 1.0)) (pow z y))
57.0ms	(pow a (- t 1.0))
230.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
237.0ms	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

simplify1.2s

Counts

161 → 161

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	244	2857
1	687	2653
2	3185	2277
done	5000	2271

prune397.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes445.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	18
1	21	18
done	21	18

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.3s	45653×	body	80	nan
898.0ms	15039×	body	80	valid