Details

sample368.0ms

Algorithm

intervals

Results

200.0ms	1764×	body	80	nan
23.0ms	256×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	59	16
3	149	16
4	442	16
5	1543	16
done	5000	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

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

rewrite347.0ms

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×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`associate-+l-` `associate-l`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

60.0ms	(- (+ (log (+ x y)) (log z)) t)
245.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
25.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (log (+ x y)) (log z))

series682.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(- (+ (log (+ x y)) (log z)) t)
270.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
92.0ms	(* (- a 0.5) (log t))
86.0ms	(+ (log (+ x y)) (log z))

simplify1.5s

Counts

114 → 114

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	239	1824
1	632	1724
2	2656	1621
done	5001	1615

prune631.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

15.0ms	(- (* (log t) (- a 0.5)) t)
101.0ms	(+ (+ (log (+ x y)) (log z)) (- (* (log t) (- a 0.5)) t))
45.0ms	(* (log t) (- a 0.5))
26.0ms	(+ (log (+ x y)) (log z))

series712.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (* (log t) (- a 0.5)) t)
335.0ms	(+ (+ (log (+ x y)) (log z)) (- (* (log t) (- a 0.5)) t))
161.0ms	(* (log t) (- a 0.5))
130.0ms	(+ (log (+ x y)) (log z))

simplify1.5s

Counts

112 → 112

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	218	1841
1	595	1734
2	2658	1666
done	5002	1655

prune561.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (cbrt t)) (- a 0.5)))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/` `frac-add`
16×	`add-log-exp`
14×	`flip3--` `*-un-lft-identity` `flip--`
9×	`sum-log`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
7×	`associate-+r+` `log-prod`
6×	`cbrt-prod`
5×	`associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `associate-+l-` `log-pow` `add-cbrt-cube`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `log-div` `distribute-lft-in` `pow1/3` `diff-log`

Counts

4 → 78

Calls

4 calls:

1.2s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (cbrt t)) (- a 0.5)))
2.0ms	(cbrt t)
2.0ms	(cbrt t)
24.0ms	(+ (log (+ x y)) (log z))

series1.2s

Counts

4 → 12

Calls

4 calls:

573.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (cbrt t)) (- a 0.5)))
260.0ms	(cbrt t)
289.0ms	(cbrt t)
85.0ms	(+ (log (+ x y)) (log z))

simplify2.1s

Counts

90 → 90

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	262	2912
1	911	2682
2	4489	2545
done	5000	2534

prune780.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt (- a 0.5)) (cbrt (- a 0.5))) (* (cbrt (- a 0.5)) (log t)))
0.4b	(* (cbrt (- a 0.5)) (log t))
0.6b	(+ (log (+ x y)) (log z))
0.7b	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

68×	`cbrt-div`
45×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`associate-*l/`
34×	`cbrt-prod` `flip3--` `flip--`
32×	`frac-times`
30×	`pow1`
25×	`log-prod`
23×	`add-cube-cbrt`
20×	`add-exp-log`
17×	`associate-l`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-r`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`associate-*r/` `swap-sqr` `prod-exp` `cbrt-unprod`
7×	`distribute-lft-out--`
6×	`pow1/3` `unswap-sqr`
5×	`log-pow` `distribute-lft-out` `difference-of-squares`
4×	`associate-+l+` `add-log-exp`
3×	`associate-+r+` `*-commutative`
2×	`associate-+l-` `log-div` `flip3-+` `pow-sqr` `pow-prod-up` `flip-+`
1×	`+-commutative` `pow2` `pow-plus` `sum-log`

Counts

4 → 173

Calls

4 calls:

147.0ms	(* (* (cbrt (- a 0.5)) (cbrt (- a 0.5))) (* (cbrt (- a 0.5)) (log t)))
25.0ms	(* (cbrt (- a 0.5)) (log t))
13.0ms	(+ (log (+ x y)) (log z))
54.0ms	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

series716.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (* (cbrt (- a 0.5)) (cbrt (- a 0.5))) (* (cbrt (- a 0.5)) (log t)))
238.0ms	(* (cbrt (- a 0.5)) (log t))
145.0ms	(+ (log (+ x y)) (log z))
220.0ms	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

simplify2.5s

Counts

185 → 185

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	377	3676
1	1034	3481
2	4479	2889
done	5002	2883

prune1.0s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes811.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	19	16
done	19	16

end0.0ms

sample13.9s

Algorithm

intervals

Results

7.7s	56261×	body	80	nan
1.6s	8031×	body	80	valid