Details

sample185.0ms

Algorithm

intervals

Results

74.0ms	748×	body	80	nan
17.0ms	194×	body	80	valid
10.0ms	22×	body	640	valid
9.0ms	7×	body	1280	valid
6.0ms	19×	body	320	valid
3.0ms	18×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	26	17
2	49	17
3	117	17
4	346	17
5	1391	17
6	4731	17
done	5000	17

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.2b	(* (- x 1.0) (log y))
4.6b	(log (- 1.0 y))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`log-prod`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`flip3--` `associate-*l/` `flip--`
3×	`log-pow`
2×	`log-div` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 94

Calls

4 calls:

36.0ms	(* (- z 1.0) (log (- 1.0 y)))
137.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
32.0ms	(* (- x 1.0) (log y))
5.0ms	(log (- 1.0 y))

series431.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (- z 1.0) (log (- 1.0 y)))
214.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
85.0ms	(* (- x 1.0) (log y))
57.0ms	(log (- 1.0 y))

simplify1.2s

Counts

106 → 106

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	231	1491
1	531	1443
2	2149	1283
done	5002	1265

prune498.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.2b	(* (- x 1.0) (log y))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
80×	`times-frac`
72×	`associate-r`
56×	`unpow-prod-down`
50×	`*-un-lft-identity`
46×	`add-cube-cbrt`
29×	`add-exp-log`
24×	`unpow2` `sqr-pow`
22×	`flip3--` `associate-*l/` `flip--`
18×	`log-prod` `unswap-sqr`
16×	`frac-add`
11×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `add-cbrt-cube` `add-log-exp`
10×	`associate-+r+`
9×	`pow1` `div-exp`
8×	`frac-times` `associate-l`
7×	`associate--l+`
6×	`pow-to-exp` `associate-+l+` `pow-exp`
5×	`associate-*r/`
3×	`sub-neg` `cbrt-unprod`
2×	`diff-log` `pow-prod-down` `sum-log` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `log-pow` `flip-+` `div-inv`

Counts

4 → 198

Calls

4 calls:

122.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
39.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
42.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
31.0ms	(* (- x 1.0) (log y))

series727.0ms

Counts

4 → 12

Calls

4 calls:

394.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
55.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
212.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
66.0ms	(* (- x 1.0) (log y))

simplify745.0ms

Counts

210 → 210

Iterations

Useful iterations: done (737.0ms)

Iter	Nodes	Cost
0	477	5346
1	1399	4808
done	5000	4447

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
20×	`add-sqr-sqrt`
18×	`cbrt-prod` `*-un-lft-identity`
16×	`add-cube-cbrt`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `associate-*l/` `add-cbrt-cube` `add-log-exp`
5×	`flip3--` `associate-r` `associate-l` `flip--`
4×	`associate-+l+` `associate-*r/` `frac-add`
3×	`pow1/3`
2×	`sub-neg` `log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

41.0ms	(* (- x 1.0) (log (cbrt y)))
44.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (- x 1.0) (log (cbrt y)))
372.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
264.0ms	(cbrt y)
218.0ms	(cbrt y)

simplify1.4s

Counts

101 → 101

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	173	1509
1	483	1390
2	2399	1185
done	5000	1177

prune706.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2 (log (cbrt y))) (- x 1.0))
0.3b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (* (- (log y)) -1/3) (- x 1.0)))
0.4b	(* (- (log y)) -1/3)
0.7b	(cbrt y)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`pow1` `associate-l`
12×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
8×	`associate-r`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `add-log-exp`
5×	`distribute-lft-neg-out` `flip3--` `flip--`
4×	`distribute-lft-neg-in` `associate-+l+` `associate-+r+` `distribute-rgt-neg-in` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod`
3×	`cbrt-prod`
2×	`log-pow` `*-commutative`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `flip3-+` `pow1/3` `unsub-neg` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

34.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
32.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (* (- (log y)) -1/3) (- x 1.0)))
22.0ms	(* (- (log y)) -1/3)
1.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
629.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (* (- (log y)) -1/3) (- x 1.0)))
226.0ms	(* (- (log y)) -1/3)
233.0ms	(cbrt y)

simplify2.3s

Counts

103 → 103

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	215	1532
1	633	1383
2	3394	1102
done	5000	1090

prune686.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes429.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify25.0ms

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	30	42
1	42	42
2	51	41
3	56	41
done	56	41

end1.0ms

sample7.3s

Algorithm

intervals

Results

3.7s	24313×	body	80	nan
713.0ms	5890×	body	80	valid
452.0ms	736×	body	640	valid
251.0ms	281×	body	1280	valid
236.0ms	689×	body	320	valid
85.0ms	438×	body	160	valid