Details

sample366.0ms

Algorithm

intervals

Results

196.0ms	1539×	body	80	nan
50.0ms	474×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3114
4	560
3	180
2	65
1	32
0	17

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize55.0ms

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))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `add-exp-log`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`associate-/r*` `times-frac` `exp-sum` `prod-exp` `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×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-r/` `div-inv` `flip--` `associate-/l` `associate-/l/`

Counts

4 → 95

Calls

4 calls:

20.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
83.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
226.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series679.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (- t 1.0) (log a))
82.0ms	(* y (log z))
222.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
244.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify999.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2139
1	534
0	233

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
0.1b	(pow a (- t 1.0))
0.5b	(/ (pow a (- t 1.0)) (exp b))
0.8b	(/ x (/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-exp-log`
66×	`times-frac`
61×	`div-exp`
45×	`add-sqr-sqrt` `*-un-lft-identity`
43×	`add-cube-cbrt`
29×	`add-cbrt-cube`
24×	`prod-exp`
16×	`pow-to-exp` `pow-exp`
15×	`unpow-prod-down` `associate-/l*`
13×	`cbrt-undiv`
12×	`associate-/r*`
10×	`unpow-prod-up`
7×	`div-inv`
6×	`associate-/r/`
5×	`pow1` `pow-unpow` `sub-neg` `associate-*r/` `sqr-pow`
4×	`cbrt-unprod` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-sub`
1×	`pow-pow` `distribute-lft-out--` `difference-of-squares` `associate-/l/`

Counts

4 → 174

Calls

4 calls:

28.0ms	(/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
9.0ms	(pow a (- t 1.0))
19.0ms	(/ (pow a (- t 1.0)) (exp b))
37.0ms	(/ x (/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

444.0ms	(/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
122.0ms	(pow a (- t 1.0))
172.0ms	(/ (pow a (- t 1.0)) (exp b))
473.0ms	(/ x (/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))

simplify1.8s

Counts

186 → 186

Iterations

Iter	Nodes
done	5001
2	4186
1	857
0	326

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow a (- 1.0)) (sqrt (exp b)))
0.0b	(/ y (* (pow z y) (* (/ (pow a t) (sqrt (exp b))) (/ (pow a (- 1.0)) (sqrt (exp b))))))
0.5b	(/ (pow a t) (sqrt (exp b)))
0.8b	(/ x (/ y (* (pow z y) (* (/ (pow a t) (sqrt (exp b))) (/ (pow a (- 1.0)) (sqrt (exp b)))))))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

536×	`add-exp-log`
307×	`div-exp`
198×	`prod-exp`
129×	`times-frac`
85×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
84×	`pow-to-exp` `pow-exp`
66×	`add-cbrt-cube`
48×	`sqrt-prod`
42×	`unpow-prod-down`
29×	`cbrt-undiv`
23×	`associate-/r*`
20×	`associate-r/` `associate-/l`
18×	`cbrt-unprod`
16×	`associate-/r/`
14×	`sqr-pow`
8×	`div-inv`
5×	`frac-times` `associate-*l/`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
2×	`associate-/l/`
1×	`neg-sub0` `pow-neg` `pow-sub`

Counts

4 → 332

Calls

4 calls:

11.0ms	(/ (pow a (- 1.0)) (sqrt (exp b)))
112.0ms	(/ y (* (pow z y) (* (/ (pow a t) (sqrt (exp b))) (/ (pow a (- 1.0)) (sqrt (exp b))))))
9.0ms	(/ (pow a t) (sqrt (exp b)))
76.0ms	(/ x (/ y (* (pow z y) (* (/ (pow a t) (sqrt (exp b))) (/ (pow a (- 1.0)) (sqrt (exp b)))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ (pow a (- 1.0)) (sqrt (exp b)))
392.0ms	(/ y (* (pow z y) (* (/ (pow a t) (sqrt (exp b))) (/ (pow a (- 1.0)) (sqrt (exp b))))))
121.0ms	(/ (pow a t) (sqrt (exp b)))
540.0ms	(/ x (/ y (* (pow z y) (* (/ (pow a t) (sqrt (exp b))) (/ (pow a (- 1.0)) (sqrt (exp b)))))))

simplify985.0ms

Counts

344 → 344

Iterations

Iter	Nodes
done	5001
1	1256
0	508

prune2.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)))
0.1b	(pow a (- t 1.0))
0.5b	(* (pow a (- t 1.0)) (pow z y))
0.8b	(/ (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) x)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
123×	`add-sqr-sqrt`
111×	`*-un-lft-identity`
109×	`add-cube-cbrt`
80×	`add-exp-log`
54×	`div-exp`
29×	`add-cbrt-cube` `associate-/l*`
27×	`prod-exp`
22×	`div-inv`
19×	`pow-to-exp` `pow-exp`
15×	`unpow-prod-down`
14×	`cbrt-undiv`
10×	`associate-/r*`
9×	`associate-l` `unswap-sqr` `sqr-pow`
7×	`associate-r`
5×	`pow1` `pow-unpow` `associate-/r/`
4×	`unpow-prod-up` `add-log-exp`
3×	`cbrt-unprod`
2×	`clear-num` `sub-neg` `frac-2neg` `pow-sub`
1×	`pow-pow` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares` `associate-/l/`

Counts

4 → 256

Calls

4 calls:

11.0ms	(/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)))
10.0ms	(pow a (- t 1.0))
16.0ms	(* (pow a (- t 1.0)) (pow z y))
20.0ms	(/ (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) x)

series913.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)))
86.0ms	(pow a (- t 1.0))
191.0ms	(* (pow a (- t 1.0)) (pow z y))
351.0ms	(/ (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))) x)

simplify700.0ms

Counts

268 → 268

Iterations

Iter	Nodes
done	5000
1	1282
0	468

prune2.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.4s

Accuracy

-19.3% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.0b

bsearch3.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	44
1	44
0	35

end0.0ms

sample13.2s

Algorithm

intervals

Results

7.3s	45944×	body	80	nan
2.5s	15326×	body	80	valid