Details

sample771.0ms

Algorithm

intervals

Results

547.0ms	1463×	body	80	nan
54.0ms	475×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize25.0ms

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

rewrite371.0ms

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:

32.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
95.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
236.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series578.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (- t 1.0) (log a))
52.0ms	(* y (log z))
194.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
255.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify848.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2139
1	534
0	233

prune951.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
0.2b	(/ (pow a (- t 1.0)) (exp b))
0.3b	(pow a (- t 1.0))
1.2b	(/ x (/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
87×	`add-sqr-sqrt`
70×	`add-exp-log`
61×	`*-un-lft-identity`
59×	`add-cube-cbrt`
48×	`div-exp`
34×	`unpow-prod-down`
31×	`associate-r`
25×	`add-cbrt-cube`
24×	`prod-exp`
16×	`pow-to-exp` `unpow-prod-up` `pow-exp` `sqr-pow`
12×	`associate-/l*` `unswap-sqr`
11×	`associate-/r*`
10×	`cbrt-undiv`
8×	`sub-neg`
7×	`associate-l` `div-inv`
5×	`pow1` `pow-unpow` `associate-*r/` `associate-/r/`
4×	`cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-sub`
1×	`pow-pow` `*-commutative` `distribute-lft-out--` `difference-of-squares` `associate-/l/`

Counts

4 → 213

Calls

4 calls:

58.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
19.0ms	(/ (pow a (- t 1.0)) (exp b))
10.0ms	(pow a (- t 1.0))
18.0ms	(/ x (/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))

series843.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
141.0ms	(/ (pow a (- t 1.0)) (exp b))
104.0ms	(pow a (- t 1.0))
365.0ms	(/ x (/ y (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))

simplify492.0ms

Counts

225 → 225

Iterations

Iter	Nodes
done	5001
1	1002
0	369

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

389×	`add-exp-log`
237×	`prod-exp`
214×	`div-exp`
108×	`pow-to-exp` `pow-exp`
61×	`add-cbrt-cube`
60×	`times-frac`
53×	`add-sqr-sqrt`
41×	`*-un-lft-identity` `add-cube-cbrt`
32×	`associate-r`
22×	`cbrt-undiv`
21×	`unpow-prod-down`
19×	`cbrt-unprod`
11×	`sqr-pow`
9×	`associate-/r*` `unswap-sqr`
8×	`associate-l`
7×	`div-inv`
6×	`pow1` `associate-r/` `associate-/r/` `associate-/l`
4×	`add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`pow-prod-down`

Counts

4 → 279

Calls

4 calls:

57.0ms	(/ y (* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b))))
35.0ms	(* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b)))
27.0ms	(* (pow z y) (pow a t))
44.0ms	(/ x (/ y (* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

430.0ms	(/ y (* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b))))
445.0ms	(* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b)))
177.0ms	(* (pow z y) (pow a t))
465.0ms	(/ x (/ y (* (* (pow z y) (pow a t)) (/ (pow a (- 1.0)) (exp b)))))

simplify676.0ms

Counts

291 → 291

Iterations

Iter	Nodes
done	5000
1	1141
0	386

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow a t) (pow a (- 1.0)))
0.2b	(/ (* (pow a t) (pow a (- 1.0))) (exp b))
0.3b	(* (* (/ 1 y) (pow z y)) (/ (* (pow a t) (pow a (- 1.0))) (exp b)))
1.2b	(* x (* (* (/ 1 y) (pow z y)) (/ (* (pow a t) (pow a (- 1.0))) (exp b))))

rewrite388.0ms

Algorithm

rewrite-expression-head

Rules

1066×	`add-exp-log`
946×	`prod-exp`
402×	`div-exp`
256×	`pow-to-exp` `pow-exp`
94×	`add-cbrt-cube`
66×	`rec-exp` `1-exp`
48×	`cbrt-unprod`
25×	`add-sqr-sqrt`
20×	`cbrt-undiv`
15×	`associate-r`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`unpow-prod-down`
11×	`pow1` `associate-l`
9×	`associate-*r/` `unswap-sqr`
8×	`sqr-pow`
6×	`times-frac` `associate-*l/`
4×	`pow-neg` `pow-prod-down` `add-log-exp`
3×	`associate-/r` `-commutative` `associate-/l/`
2×	`neg-sub0` `frac-times` `un-div-inv` `div-inv` `pow-sub`
1×	`clear-num` `frac-2neg` `pow-prod-up` `associate-/l*`

Counts

4 → 420

Calls

4 calls:

27.0ms	(* (pow a t) (pow a (- 1.0)))
13.0ms	(/ (* (pow a t) (pow a (- 1.0))) (exp b))
82.0ms	(* (* (/ 1 y) (pow z y)) (/ (* (pow a t) (pow a (- 1.0))) (exp b)))
203.0ms	(* x (* (* (/ 1 y) (pow z y)) (/ (* (pow a t) (pow a (- 1.0))) (exp b))))

series1.6s

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (pow a t) (pow a (- 1.0)))
209.0ms	(/ (* (pow a t) (pow a (- 1.0))) (exp b))
595.0ms	(* (* (/ 1 y) (pow z y)) (/ (* (pow a t) (pow a (- 1.0))) (exp b)))
546.0ms	(* x (* (* (/ 1 y) (pow z y)) (/ (* (pow a t) (pow a (- 1.0))) (exp b))))

simplify609.0ms

Counts

432 → 432

Iterations

Iter	Nodes
done	5000
1	1281
0	391

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.5s

Accuracy

10.7% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.1b

bsearch2.0ms

simplify1.2s

Iterations

Iter	Nodes
done	5000
5	2175
4	403
3	144
2	73
1	57
0	36

end0.0ms

sample14.7s

Algorithm

intervals

Results

6.5s	45442×	body	80	nan
3.3s	15344×	body	80	valid