Details

sample183.0ms

Algorithm

intervals

Results

91.0ms	2058×	body	80	nan
17.0ms	257×	body	80	valid

simplify7.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	60	15
3	130	15
4	330	15
5	805	15
6	1461	15
7	2293	15
8	2496	15
9	2503	15
done	2503	15

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

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))
0.5b	(+ (log (+ x y)) (log z))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
48×	`pow1`
43×	`add-sqr-sqrt`
42×	`prod-diff` `log-pow`
41×	`distribute-lft-out`
35×	`add-cube-cbrt`
28×	`associate-+l+`
19×	`log-prod`
14×	`add-log-exp`
13×	`fma-def`
11×	`distribute-lft-out--`
9×	`associate-+r+`
7×	`fma-neg`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--`
5×	`associate-+l-` `associate-l`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

36.0ms	(- (+ (log (+ x y)) (log z)) t)
121.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (log (+ x y)) (log z))

series505.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(- (+ (log (+ x y)) (log z)) t)
205.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
55.0ms	(* (- a 0.5) (log t))
75.0ms	(+ (log (+ x y)) (log z))

simplify873.0ms

Counts

184 → 184

Iterations

Useful iterations: done (868.0ms)

Iter	Nodes	Cost
0	270	2956
1	697	2524
2	2328	2215
done	5000	2172

prune544.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
48×	`prod-diff`
45×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
39×	`associate-+r+`
22×	`distribute-rgt-in` `distribute-lft-in`
17×	`pow1`
12×	`log-pow`
8×	`add-log-exp`
7×	`log-prod` `fma-def` `distribute-lft-out`
6×	`add-exp-log` `associate-l` `add-cbrt-cube`
5×	`sub-neg` `associate-+l+` `associate-r` `distribute-lft-out--`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3-+` `associate--l+` `sum-log` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `associate-*r/` `fma-udef`
1×	`associate-+r-` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

6.0ms	(+ (fma (- a 0.5) (log (sqrt t)) (+ (log (+ x y)) (- (log z) t))) (* (log (sqrt t)) (- a 0.5)))
13.0ms	(* (log (sqrt t)) (- a 0.5))
0.0ms	(fma (- a 0.5) (log (sqrt t)) (+ (log (+ x y)) (- (log z) t)))
15.0ms	(+ (log (+ x y)) (- (log z) t))

series743.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(+ (fma (- a 0.5) (log (sqrt t)) (+ (log (+ x y)) (- (log z) t))) (* (log (sqrt t)) (- a 0.5)))
66.0ms	(* (log (sqrt t)) (- a 0.5))
140.0ms	(fma (- a 0.5) (log (sqrt t)) (+ (log (+ x y)) (- (log z) t)))
359.0ms	(+ (log (+ x y)) (- (log z) t))

simplify904.0ms

Counts

158 → 158

Iterations

Useful iterations: done (899.0ms)

Iter	Nodes	Cost
0	313	3106
1	740	2744
2	2236	2423
done	5001	2405

prune558.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
17×	`associate-+r+`
16×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`pow1`
12×	`prod-diff`
9×	`log-pow`
7×	`log-prod` `distribute-lft-out`
6×	`cbrt-prod` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
3×	`associate--l+`
2×	`associate-+l-` `log-div` `flip3-+` `pow1/3` `sum-log` `flip-+`
1×	`+-commutative` `associate-+r-` `sub-neg` `diff-log` `fma-udef`

Counts

4 → 84

Calls

4 calls:

0.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))
14.0ms	(+ (log (+ x y)) (- (log z) t))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series679.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))
176.0ms	(+ (log (+ x y)) (- (log z) t))
189.0ms	(cbrt t)
177.0ms	(cbrt t)

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	171	1096
1	395	1016
2	1024	889
3	4023	857
done	5001	856

prune415.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log (sqrt t))) (cbrt (log (sqrt t))))
0.5b	(cbrt (log (sqrt t)))
0.5b	(cbrt (log (sqrt t)))
0.5b	(cbrt (log (sqrt t)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod`
27×	`pow1`
23×	`add-sqr-sqrt` `log-pow`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`pow1/3` `associate-r` `associate-l`
7×	`sqrt-pow1` `pow1/2`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 101

Calls

4 calls:

12.0ms	(* (cbrt (log (sqrt t))) (cbrt (log (sqrt t))))
1.0ms	(cbrt (log (sqrt t)))
1.0ms	(cbrt (log (sqrt t)))
1.0ms	(cbrt (log (sqrt t)))

series1.0s

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (cbrt (log (sqrt t))) (cbrt (log (sqrt t))))
238.0ms	(cbrt (log (sqrt t)))
235.0ms	(cbrt (log (sqrt t)))
227.0ms	(cbrt (log (sqrt t)))

simplify641.0ms

Counts

113 → 113

Iterations

Useful iterations: done (638.0ms)

Iter	Nodes	Cost
0	170	1763
1	451	1594
2	1541	1436
done	5001	1433

prune501.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes428.0ms

Accuracy

0% (0.3b 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	17	24
1	21	24
done	21	24

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	55353×	body	80	nan
445.0ms	8021×	body	80	valid