Details

sample175.0ms

Algorithm

intervals

Results

73.0ms	1464×	body	80	nan
28.0ms	483×	body	80	valid

simplify725.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (16.0ms)

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

prune14.0ms

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)

rewrite121.0ms

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:

10.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
30.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
75.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series382.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (- t 1.0) (log a))
42.0ms	(* y (log z))
115.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
171.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify634.0ms

Counts

107 → 107

Iterations

Useful iterations: done (631.0ms)

Iter	Nodes	Cost
0	231	1531
1	506	1495
2	1909	1209
done	5000	1197

prune370.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (- (- b (* y (log z))) (* (log a) t)))
0.3b	(* y (log z))
0.3b	(* (log a) t)
8.3b	(/ (/ x (pow a 1.0)) (* y (exp (- (- b (* y (log z))) (* (log a) t)))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

67×	`times-frac`
43×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
25×	`associate-/l*`
20×	`add-cbrt-cube`
18×	`unpow-prod-down`
14×	`div-exp`
10×	`pow1` `add-log-exp`
7×	`associate-r` `associate-l`
6×	`cbrt-undiv` `log-prod` `prod-exp` `sqr-pow`
4×	`exp-sum` `cbrt-unprod`
3×	`distribute-rgt-in` `exp-prod` `distribute-lft-in` `diff-log` `div-inv` `rem-exp-log`
2×	`pow-to-exp` `sub-neg` `exp-diff` `pow-prod-down` `pow-exp` `associate--l+` `log-pow` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `associate-/r/` `associate-/l/`

Counts

4 → 137

Calls

4 calls:

21.0ms	(exp (- (- b (* y (log z))) (* (log a) t)))
4.0ms	(* y (log z))
3.0ms	(* (log a) t)
61.0ms	(/ (/ x (pow a 1.0)) (* y (exp (- (- b (* y (log z))) (* (log a) t)))))

series509.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(exp (- (- b (* y (log z))) (* (log a) t)))
42.0ms	(* y (log z))
59.0ms	(* (log a) t)
327.0ms	(/ (/ x (pow a 1.0)) (* y (exp (- (- b (* y (log z))) (* (log a) t)))))

simplify964.0ms

Counts

149 → 149

Iterations

Useful iterations: 2 (231.0ms)

Iter	Nodes	Cost
0	319	2732
1	723	2570
2	2925	2215
done	5001	2215

prune558.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp b))
0.2b	(pow a (- t 1.0))
0.3b	(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))
0.4b	(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

5.0ms	(* y (exp b))
3.0ms	(pow a (- t 1.0))
8.0ms	(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))
10.0ms	(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))

series455.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* y (exp b))
60.0ms	(pow a (- t 1.0))
179.0ms	(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))
194.0ms	(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))

simplify1.3s

Counts

154 → 154

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	263	2816
1	749	2644
2	3551	2309
done	5000	2307

prune381.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (/ (exp b) (* (pow a t) (pow z y)))) (pow a 1.0))
0.0b	(/ x (/ (exp b) (* (pow a t) (pow z y))))
0.2b	(/ (exp b) (* (pow a t) (pow z y)))
1.9b	(* (/ 1 y) (/ (/ x (/ (exp b) (* (pow a t) (pow z y)))) (pow a 1.0)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

900×	`times-frac`
741×	`add-exp-log`
600×	`div-exp`
416×	`add-sqr-sqrt`
353×	`*-un-lft-identity`
346×	`add-cube-cbrt`
301×	`prod-exp`
186×	`associate-r`
165×	`unpow-prod-down`
162×	`pow-to-exp` `pow-exp`
77×	`add-cbrt-cube`
69×	`div-inv`
59×	`sqr-pow`
39×	`cbrt-undiv`
37×	`rec-exp` `1-exp`
32×	`associate-/l*`
21×	`unswap-sqr`
16×	`associate-/r/`
15×	`associate-/r*` `cbrt-unprod`
13×	`associate-l`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 741

Calls

4 calls:

20.0ms	(/ (/ x (/ (exp b) (* (pow a t) (pow z y)))) (pow a 1.0))
7.0ms	(/ x (/ (exp b) (* (pow a t) (pow z y))))
5.0ms	(/ (exp b) (* (pow a t) (pow z y)))
95.0ms	(* (/ 1 y) (/ (/ x (/ (exp b) (* (pow a t) (pow z y)))) (pow a 1.0)))

series971.0ms

Counts

4 → 12

Calls

4 calls:

332.0ms	(/ (/ x (/ (exp b) (* (pow a t) (pow z y)))) (pow a 1.0))
152.0ms	(/ x (/ (exp b) (* (pow a t) (pow z y))))
136.0ms	(/ (exp b) (* (pow a t) (pow z y)))
352.0ms	(* (/ 1 y) (/ (/ x (/ (exp b) (* (pow a t) (pow z y)))) (pow a 1.0)))

simplify939.0ms

Counts

753 → 753

Iterations

Useful iterations: done (914.0ms)

Iter	Nodes	Cost
0	924	19178
1	2955	17951
done	5000	17805

prune2.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes384.0ms

Accuracy

-1.2% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	30	70
1	39	53
done	39	53

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.1s	44542×	body	80	nan
901.0ms	15166×	body	80	valid