Details

sample179.0ms

Algorithm

intervals

Results

74.0ms	1776×	body	80	nan
13.0ms	257×	body	80	valid

simplify61.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9
done	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

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))
0.7b	(+ (log (+ x y)) (log z))

rewrite275.0ms

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:

52.0ms	(- (+ (log (+ x y)) (log z)) t)
182.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
25.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series528.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(- (+ (log (+ x y)) (log z)) t)
214.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
78.0ms	(+ (log (+ x y)) (log z))

simplify57.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924
done	5001	924

prune375.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (* (cbrt (+ x y)) (cbrt (+ x y)))) (+ (log (cbrt (+ x y))) (log z)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
31×	`pow1`
30×	`distribute-lft-out`
22×	`log-pow`
20×	`cbrt-div`
12×	`cbrt-prod`
11×	`flip3-+` `flip-+`
10×	`associate-+l-` `log-div`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow-prod-down` `add-log-exp`
4×	`add-exp-log` `frac-times` `add-cbrt-cube`
3×	`pow1/3` `sum-log`
2×	`associate-+r-` `associate-r/` `associate-l/`
1×	`+-commutative` `associate-+l+` `associate-+r+` `log-prod`

Counts

4 → 81

Calls

4 calls:

98.0ms	(+ (log (* (cbrt (+ x y)) (cbrt (+ x y)))) (+ (log (cbrt (+ x y))) (log z)))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))

series641.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(+ (log (* (cbrt (+ x y)) (cbrt (+ x y)))) (+ (log (cbrt (+ x y))) (log z)))
135.0ms	(cbrt (+ x y))
142.0ms	(cbrt (+ x y))
135.0ms	(cbrt (+ x y))

simplify88.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	336	859
1	980	746
2	3848	653
3	5002	653
done	5002	653

prune426.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (- (+ (log (+ x y)) (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))
0.7b	(+ (log (+ x y)) (log z))

rewrite822.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*r/`
20×	`*-un-lft-identity` `frac-add`
18×	`add-sqr-sqrt`
16×	`pow1` `flip3--` `flip--` `add-log-exp`
12×	`associate-l`
10×	`add-cube-cbrt` `associate-r` `log-pow`
9×	`sum-log`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-+r+` `log-prod`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
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 → 114

Calls

4 calls:

760.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
24.0ms	(* (log (sqrt t)) (- a 0.5))
23.0ms	(* (log (sqrt t)) (- a 0.5))
12.0ms	(+ (log (+ x y)) (log z))

series525.0ms

Counts

4 → 12

Calls

4 calls:

312.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
64.0ms	(* (log (sqrt t)) (- a 0.5))
71.0ms	(* (log (sqrt t)) (- a 0.5))
77.0ms	(+ (log (+ x y)) (log z))

simplify110.0ms

Counts

126 → 126

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	906	1848
1	4041	1719
2	5001	1715
done	5001	1715

prune496.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.7b	(+ (log (+ x y)) (log z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 98

Calls

4 calls:

38.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
12.0ms	(+ (log (+ x y)) (log z))

series632.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
186.0ms	(cbrt t)
189.0ms	(cbrt t)
81.0ms	(+ (log (+ x y)) (log z))

simplify59.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	598	898
1	2124	774
2	5001	748
done	5001	748

prune524.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes528.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17
done	24	17

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.3s	56053×	body	80	nan
407.0ms	8031×	body	80	valid