Details

sample283.0ms

Algorithm

intervals

Results

165.0ms	1748×	body	80	nan
22.0ms	256×	body	80	valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	3868
6	1574
5	899
4	374
3	147
2	59
1	27
0	15

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

51.0ms	(- (+ (log (+ x y)) (log z)) t)
222.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
29.0ms	(* (- a 0.5) (log t))
16.0ms	(+ (log (+ x y)) (log z))

series944.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(- (+ (log (+ x y)) (log z)) t)
537.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
64.0ms	(* (- a 0.5) (log t))
91.0ms	(+ (log (+ x y)) (log z))

simplify2.0s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	2283
1	637
0	240

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t)))) (* (- a 0.5) (log (sqrt t))))
0.1b	(* (- a 0.5) (log (sqrt t)))
0.1b	(* (- a 0.5) (log (sqrt t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
32×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
24×	`associate-*l/`
22×	`add-cube-cbrt`
20×	`frac-add`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
16×	`pow1` `flip3--` `flip--` `add-log-exp`
15×	`associate-+r+`
12×	`associate-r`
10×	`associate-l` `log-pow`
9×	`sum-log`
8×	`add-cbrt-cube` `add-exp-log`
5×	`associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`
4×	`associate-+l-`
2×	`+-commutative` `log-div` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

1.1s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t)))) (* (- a 0.5) (log (sqrt t))))
21.0ms	(* (- a 0.5) (log (sqrt t)))
29.0ms	(* (- a 0.5) (log (sqrt t)))
17.0ms	(+ (log (+ x y)) (log z))

series739.0ms

Counts

4 → 12

Calls

4 calls:

471.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t)))) (* (- a 0.5) (log (sqrt t))))
66.0ms	(* (- a 0.5) (log (sqrt t)))
112.0ms	(* (- a 0.5) (log (sqrt t)))
88.0ms	(+ (log (+ x y)) (log z))

simplify3.2s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	4161
1	986
0	307

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (+ (log (+ y x)) (- (log z) t)) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
0.1b	(* (log (sqrt t)) (- a 0.5))
0.1b	(* (log (sqrt t)) (- a 0.5))
0.4b	(+ (log (+ y x)) (- (log z) t))

rewrite689.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

580.0ms	(+ (+ (+ (log (+ y x)) (- (log z) t)) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
34.0ms	(* (log (sqrt t)) (- a 0.5))
37.0ms	(* (log (sqrt t)) (- a 0.5))
29.0ms	(+ (log (+ y x)) (- (log z) t))

series944.0ms

Counts

4 → 12

Calls

4 calls:

490.0ms	(+ (+ (+ (log (+ y x)) (- (log z) t)) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
108.0ms	(* (log (sqrt t)) (- a 0.5))
90.0ms	(* (log (sqrt t)) (- a 0.5))
256.0ms	(+ (log (+ y x)) (- (log z) t))

simplify3.0s

Counts

134 → 134

Iterations

Iter	Nodes
done	5002
2	4049
1	929
0	270

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (sqrt (sqrt t))) (- a 0.5))
0.1b	(* (log (sqrt (sqrt t))) (- a 0.5))
0.2b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t)))) (* (log (sqrt (sqrt t))) (- a 0.5)))
0.6b	(+ (log (+ x y)) (log z))

rewrite962.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

24.0ms	(* (log (sqrt (sqrt t))) (- a 0.5))
30.0ms	(* (log (sqrt (sqrt t))) (- a 0.5))
893.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t)))) (* (log (sqrt (sqrt t))) (- a 0.5)))
10.0ms	(+ (log (+ x y)) (log z))

series1.2s

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (log (sqrt (sqrt t))) (- a 0.5))
196.0ms	(* (log (sqrt (sqrt t))) (- a 0.5))
718.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t)))) (* (log (sqrt (sqrt t))) (- a 0.5)))
91.0ms	(+ (log (+ x y)) (log z))

simplify3.4s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	4352
1	1007
0	302

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes1.9s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	31
1	31
0	24

end0.0ms

sample12.2s

Algorithm

intervals

Results

7.5s	55030×	body	80	nan
1.5s	8030×	body	80	valid