Details

sample397.0ms

Algorithm

intervals

Results

174.0ms	1364×	body	80	nan
56.0ms	469×	body	80	valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (56.0ms)

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

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)

rewrite486.0ms

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:

26.0ms	(* (- t 1.0) (log a))
18.0ms	(* y (log z))
126.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
313.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series610.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (- t 1.0) (log a))
57.0ms	(* y (log z))
175.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
299.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.5s

Counts

107 → 107

Iterations

Useful iterations: done (1.5s)

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

prune637.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite132.0ms

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:

9.0ms	(pow a (- t 1.0))
22.0ms	(* (pow a (- t 1.0)) (pow z y))
53.0ms	(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))
35.0ms	(/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y)))

series924.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(pow a (- t 1.0))
198.0ms	(* (pow a (- t 1.0)) (pow z y))
309.0ms	(/ x (/ (* y (exp b)) (* (pow a (- t 1.0)) (pow z y))))
323.0ms	(/ (* 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

prune681.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize42.0ms

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)))

rewrite209.0ms

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:

20.0ms	(* y (exp b))
17.0ms	(* (pow a t) (pow z y))
104.0ms	(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))
41.0ms	(/ (* y (exp b)) (* (pow a t) (pow z y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

46.0ms	(* y (exp b))
170.0ms	(* (pow a t) (pow z y))
615.0ms	(/ x (* (/ (* y (exp b)) (* (pow a t) (pow z y))) (pow a 1.0)))
215.0ms	(/ (* y (exp b)) (* (pow a t) (pow z y)))

simplify1.8s

Counts

196 → 196

Iterations

Useful iterations: done (1.8s)

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

prune686.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`add-exp-log`
66×	`times-frac`
47×	`*-un-lft-identity`
45×	`add-cube-cbrt`
38×	`associate-r` `prod-exp`
34×	`unpow-prod-down` `div-exp`
25×	`add-cbrt-cube`
16×	`unpow-prod-up` `pow-to-exp` `pow-exp` `sqr-pow`
13×	`unswap-sqr`
10×	`associate-l`
9×	`associate-/l*`
8×	`sub-neg` `cbrt-unprod`
7×	`pow1`
6×	`cbrt-undiv`
5×	`pow-unpow`
4×	`add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`associate-r/` `-commutative` `pow-sub`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 188

Calls

4 calls:

9.0ms	(pow a (- t 1.0))
21.0ms	(/ (pow a (- t 1.0)) (exp b))
50.0ms	(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))
50.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))

series723.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(pow a (- t 1.0))
112.0ms	(/ (pow a (- t 1.0)) (exp b))
292.0ms	(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))
213.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))

simplify1.8s

Counts

200 → 200

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	316	3410
1	791	3231
2	2836	2918
done	5000	2913

prune977.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes705.0ms

Accuracy

-21.7% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.0b

bsearch687.0ms

Steps

Iters	Range		Point
9	-1.582478828949471e-73	-4.1290275866656273e-81	-1.9356588119263143e-77
9	-3446.367806925191	-9.640722949014248e-05	-0.014534861379600705

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	30	60
1	39	43
done	39	43

end0.0ms

sample14.4s

Algorithm

intervals

Results

7.3s	45591×	body	80	nan
2.3s	15131×	body	80	valid