Details

sample219.0ms

Algorithm

intervals

Results

88.0ms	802×	body	80	nan
18.0ms	178×	body	80	valid
14.0ms	26×	body	640	valid
11.0ms	9×	body	1280	valid
10.0ms	29×	body	320	valid
3.0ms	15×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4312
5	1312
4	339
3	117
2	49
1	26
0	14

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (log (- 1.0 y)) (- z 1.0))
0.0b	(- (* (- x 1.0) (log y)) t)
0.2b	(* (- x 1.0) (log y))
6.9b	(log (- 1.0 y))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

41.0ms	(* (log (- 1.0 y)) (- z 1.0))
26.0ms	(- (* (- x 1.0) (log y)) t)
35.0ms	(* (- x 1.0) (log y))
8.0ms	(log (- 1.0 y))

series301.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (log (- 1.0 y)) (- z 1.0))
96.0ms	(- (* (- x 1.0) (log y)) t)
69.0ms	(* (- x 1.0) (log y))
73.0ms	(log (- 1.0 y))

simplify932.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	1935
1	500
0	216

prune662.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
46×	`times-frac`
38×	`*-un-lft-identity`
37×	`associate-r`
34×	`add-cube-cbrt`
32×	`add-exp-log`
21×	`associate-l`
20×	`add-cbrt-cube`
12×	`log-prod` `unswap-sqr`
11×	`pow1` `unpow-prod-down`
10×	`div-exp` `prod-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `flip--`
6×	`associate--l+` `cbrt-unprod` `add-log-exp`
5×	`frac-times` `associate-*l/` `unpow2` `sqr-pow`
4×	`cbrt-undiv`
3×	`sub-neg` `pow-prod-down` `associate-r/` `-commutative`
2×	`pow-to-exp` `pow-exp` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `log-pow`

Counts

4 → 154

Calls

4 calls:

126.0ms	(* (- (- (log 1.0) (* (/ 1/2 1.0) (/ (pow y 2) 1.0))) (* 1.0 y)) (- z 1.0))
49.0ms	(* (/ 1/2 1.0) (/ (pow y 2) 1.0))
18.0ms	(- (* (- x 1.0) (log y)) t)
25.0ms	(* (- x 1.0) (log y))

series257.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (- (log 1.0) (* (/ 1/2 1.0) (/ (pow y 2) 1.0))) (* 1.0 y)) (- z 1.0))
48.0ms	(* (/ 1/2 1.0) (/ (pow y 2) 1.0))
82.0ms	(- (* (- x 1.0) (log y)) t)
79.0ms	(* (- x 1.0) (log y))

simplify504.0ms

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
1	979
0	339

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
46×	`times-frac`
42×	`*-un-lft-identity`
39×	`associate-r`
38×	`add-cube-cbrt`
32×	`add-exp-log`
24×	`log-prod` `associate-l`
20×	`add-cbrt-cube`
16×	`distribute-rgt-in` `distribute-lft-in`
14×	`pow1`
12×	`associate-+l+` `sqrt-prod` `unswap-sqr`
11×	`unpow-prod-down`
10×	`div-exp` `prod-exp`
9×	`add-log-exp`
7×	`associate-*l/`
6×	`associate-+r+` `flip3--` `log-pow` `cbrt-unprod` `flip--`
5×	`sub-neg` `unpow2` `sqr-pow`
4×	`cbrt-undiv` `frac-add` `associate--l+`
3×	`pow-prod-down` `associate-r/` `-commutative`
2×	`pow-to-exp` `sum-log` `sqrt-pow1` `pow1/2` `pow-exp` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `+-commutative` `associate-+r-` `flip3-+` `diff-log` `flip-+`

Counts

4 → 176

Calls

4 calls:

43.0ms	(+ (* (- x 1.0) (log (sqrt y))) (- (* (log (sqrt y)) (- x 1.0)) t))
34.0ms	(* (/ 1/2 1.0) (/ (pow y 2) 1.0))
39.0ms	(* (log (sqrt y)) (- x 1.0))
34.0ms	(* (- x 1.0) (log (sqrt y)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(+ (* (- x 1.0) (log (sqrt y))) (- (* (log (sqrt y)) (- x 1.0)) t))
50.0ms	(* (/ 1/2 1.0) (/ (pow y 2) 1.0))
98.0ms	(* (log (sqrt y)) (- x 1.0))
86.0ms	(* (- x 1.0) (log (sqrt y)))

simplify559.0ms

Counts

188 → 188

Iterations

Iter	Nodes
done	5001
1	1038
0	342

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 1/2 1.0) (/ (pow y 2) 1.0))
0.0b	(+ (+ (* (log (sqrt y)) x) (* (- x 1.0) (log (sqrt y)))) (- (* (log (sqrt y)) (- 1.0)) t))
0.2b	(* (- x 1.0) (log (sqrt y)))
0.3b	(* (log (sqrt y)) x)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
46×	`times-frac`
38×	`*-un-lft-identity`
37×	`associate-r`
34×	`add-cube-cbrt`
32×	`add-exp-log`
24×	`associate-l`
20×	`add-cbrt-cube`
16×	`add-log-exp`
14×	`pow1`
12×	`log-prod` `unswap-sqr`
11×	`unpow-prod-down`
10×	`div-exp` `prod-exp`
6×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `log-pow` `sqrt-prod` `cbrt-unprod`
5×	`unpow2` `sqr-pow`
4×	`cbrt-undiv` `frac-add`
3×	`flip3-+` `flip3--` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `flip--`
2×	`pow-to-exp` `associate-+r+` `sqrt-pow1` `pow1/2` `diff-log` `pow-exp` `div-inv`
1×	`frac-times` `+-commutative` `associate-+l+` `associate-+r-` `sub-neg` `associate-*r/` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 156

Calls

4 calls:

32.0ms	(* (/ 1/2 1.0) (/ (pow y 2) 1.0))
63.0ms	(+ (+ (* (log (sqrt y)) x) (* (- x 1.0) (log (sqrt y)))) (- (* (log (sqrt y)) (- 1.0)) t))
28.0ms	(* (- x 1.0) (log (sqrt y)))
16.0ms	(* (log (sqrt y)) x)

series553.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (/ 1/2 1.0) (/ (pow y 2) 1.0))
271.0ms	(+ (+ (* (log (sqrt y)) x) (* (- x 1.0) (log (sqrt y)))) (- (* (log (sqrt y)) (- 1.0)) t))
60.0ms	(* (- x 1.0) (log (sqrt y)))
189.0ms	(* (log (sqrt y)) x)

simplify582.0ms

Counts

168 → 168

Iterations

Iter	Nodes
done	5001
1	1085
0	356

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes708.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	41
1	41
0	32

end0.0ms

sample7.6s

Algorithm

intervals

Results

3.6s	24342×	body	80	nan
798.0ms	5843×	body	80	valid
480.0ms	815×	body	640	valid
369.0ms	682×	body	320	valid
320.0ms	275×	body	1280	valid
136.0ms	410×	body	160	valid