Details

sample169.0ms

Algorithm

intervals

Results

73.0ms	1640×	body	80	nan
14.0ms	256×	body	80	valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	59	16
3	147	16
4	326	16
5	681	16
6	1213	16
7	1750	16
8	2073	16
9	2076	16
done	2076	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite279.0ms

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:

53.0ms	(- (+ (log (+ x y)) (log z)) t)
24.0ms	(* (- a 0.5) (log t))
186.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
12.0ms	(+ (log (+ x y)) (log z))

series506.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(- (+ (log (+ x y)) (log z)) t)
55.0ms	(* (- a 0.5) (log t))
210.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
72.0ms	(+ (log (+ x y)) (log z))

simplify803.0ms

Counts

114 → 114

Iterations

Useful iterations: done (800.0ms)

Iter	Nodes	Cost
0	239	1824
1	617	1724
2	2131	1617
done	5000	1584

prune383.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (log z) (log (+ x y)))
0.5b	(* (log (+ x y)) (log (+ x y)))
0.7b	(pow (log z) 3)
0.7b	(pow (log (+ x y)) 3)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
27×	`pow1`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`log-prod`
14×	`log-pow`
8×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
6×	`pow-unpow` `swap-sqr`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l` `associate--r+` `distribute-lft-out--` `add-log-exp`
3×	`associate--l+` `distribute-lft-out`
2×	`cube-mult` `pow-to-exp` `log-div` `pow-pow` `unpow3` `pow-exp` `associate--r-` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `flip3-+` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

15.0ms	(- (log z) (log (+ x y)))
16.0ms	(* (log (+ x y)) (log (+ x y)))
3.0ms	(pow (log z) 3)
4.0ms	(pow (log (+ x y)) 3)

series737.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (log z) (log (+ x y)))
174.0ms	(* (log (+ x y)) (log (+ x y)))
174.0ms	(pow (log z) 3)
310.0ms	(pow (log (+ x y)) 3)

simplify733.0ms

Counts

126 → 126

Iterations

Useful iterations: done (729.0ms)

Iter	Nodes	Cost
0	155	1297
1	341	1059
2	1247	908
done	5002	887

prune415.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

34.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
12.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series827.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
78.0ms	(+ (log (+ x y)) (log z))
393.0ms	(cbrt t)
175.0ms	(cbrt t)

simplify960.0ms

Counts

84 → 84

Iterations

Useful iterations: done (958.0ms)

Iter	Nodes	Cost
0	162	807
1	382	772
2	1186	639
done	5000	630

prune345.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (pow t 1/3))) (- a 0.5))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
5.0b	(pow t 1/3)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`pow1`
12×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cube-cbrt`
9×	`add-cbrt-cube`
7×	`log-prod`
5×	`associate-r` `distribute-lft-out`
4×	`associate-+l+` `log-pow` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-+r+` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `associate-+l-` `sub-neg` `log-div` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `unpow1/3` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

32.0ms	(* (* 2 (log (pow t 1/3))) (- a 0.5))
12.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
3.0ms	(pow t 1/3)

series592.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (* 2 (log (pow t 1/3))) (- a 0.5))
78.0ms	(+ (log (+ x y)) (log z))
179.0ms	(cbrt t)
174.0ms	(pow t 1/3)

simplify822.0ms

Counts

91 → 91

Iterations

Useful iterations: done (820.0ms)

Iter	Nodes	Cost
0	194	898
1	452	797
2	1343	679
done	5000	656

prune367.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes534.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	41
1	29	41
done	29	41

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.4s	56116×	body	80	nan
417.0ms	8025×	body	80	valid