Details

sample323.0ms

Algorithm

intervals

Results

195.0ms	1926×	body	80	nan
22.0ms	258×	body	80	valid

simplify3.6s

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: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(* (- a 0.5) (log t))
0.2b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite344.0ms

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:

54.0ms	(- (+ (log (+ x y)) (log z)) t)
21.0ms	(* (- a 0.5) (log t))
250.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
16.0ms	(+ (log (+ x y)) (log z))

series731.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(- (+ (log (+ x y)) (log z)) t)
70.0ms	(* (- a 0.5) (log t))
271.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
109.0ms	(+ (log (+ x y)) (log z))

simplify1.9s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
2	2286
1	637
0	240

prune905.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.2b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

13.0ms	(- (log z) t)
23.0ms	(* (- a 0.5) (log t))
40.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
87.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

series638.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (log z) t)
99.0ms	(* (- a 0.5) (log t))
135.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
281.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

simplify1.8s

Counts

110 → 110

Iterations

Iter	Nodes
done	5007
2	2246
1	665
0	242

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

9.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.6s

Counts

4 → 12

Calls

4 calls:

363.0ms	(* (cbrt z) (cbrt z))
266.0ms	(cbrt z)
656.0ms	(cbrt z)
282.0ms	(cbrt z)

simplify2.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5028
4	3114
3	971
2	377
1	136
0	61

prune770.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

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

rewrite633.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*r/`
21×	`add-log-exp`
20×	`frac-add`
18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`flip3--` `flip--`
14×	`sum-log`
13×	`pow1`
12×	`associate-l`
10×	`associate-r`
9×	`add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
7×	`log-pow`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-+l-`
5×	`associate-+l+` `associate-+r+` `flip3-+` `flip-+`
4×	`log-prod`
3×	`distribute-lft-out`
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`
1×	`associate-+r-`

Counts

4 → 113

Calls

4 calls:

148.0ms	(+ (+ (- (log z) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
29.0ms	(* (log (sqrt t)) (- a 0.5))
18.0ms	(* (log (sqrt t)) (- a 0.5))
428.0ms	(+ (log (+ x y)) (+ (+ (- (log z) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5))))

series890.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(+ (+ (- (log z) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
87.0ms	(* (log (sqrt t)) (- a 0.5))
87.0ms	(* (log (sqrt t)) (- a 0.5))
447.0ms	(+ (log (+ x y)) (+ (+ (- (log z) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5))))

simplify3.1s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	3922
1	913
0	254

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.7s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample12.2s

Algorithm

intervals

Results

7.7s	56608×	body	80	nan
1.4s	8027×	body	80	valid