Details

sample397.0ms

Algorithm

intervals

Results

213.0ms	1942×	body	80	nan
26.0ms	257×	body	80	valid

simplify10.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	61	15
3	155	15
4	356	15
5	858	15
6	1598	15
7	2194	15
8	2618	15
9	2630	15
done	2630	15

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
28×	`pow1`
25×	`log-pow` `distribute-lft-out`
21×	`prod-diff`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
7×	`log-prod` `fma-neg`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`associate-+l-` `log-div` `associate-+l+` `fma-def`
3×	`add-exp-log` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate--l-` `diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 92

Calls

3 calls:

93.0ms	(- (+ (log (+ x y)) (log z)) t)
0.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
15.0ms	(+ (log (+ x y)) (log z))

series471.0ms

Counts

3 → 9

Calls

3 calls:

235.0ms	(- (+ (log (+ x y)) (log z)) t)
114.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
121.0ms	(+ (log (+ x y)) (log z))

simplify2.3s

Counts

101 → 101

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	170	1568
1	388	1337
2	1000	1146
3	3921	1059
done	5000	1059

prune496.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
27×	`distribute-lft-out`
20×	`pow1`
17×	`log-pow`
11×	`fma-def`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `sum-log`
6×	`associate-+l-`
5×	`associate-+l+` `distribute-rgt-neg-in`
4×	`log-div` `flip3-+` `flip-+`
3×	`add-exp-log` `expm1-log1p-u` `associate-+r+` `add-cbrt-cube` `log1p-expm1-u`
2×	`+-commutative` `neg-log`
1×	`neg-sub0` `associate-+r-` `unsub-neg` `fma-udef`

Counts

3 → 79

Calls

3 calls:

66.0ms	(+ (+ (log (+ x y)) (log z)) (- t))
1.0ms	(fma (- a 0.5) (log t) (+ (+ (log (+ x y)) (log z)) (- t)))
23.0ms	(+ (log (+ x y)) (log z))

series430.0ms

Counts

3 → 9

Calls

3 calls:

190.0ms	(+ (+ (log (+ x y)) (log z)) (- t))
129.0ms	(fma (- a 0.5) (log t) (+ (+ (log (+ x y)) (log z)) (- t)))
111.0ms	(+ (log (+ x y)) (log z))

simplify2.7s

Counts

88 → 88

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	151	1009
1	374	920
2	1097	845
3	4523	826
done	5000	826

prune397.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
43×	`pow1`
37×	`add-sqr-sqrt`
35×	`log-prod`
31×	`add-cube-cbrt`
25×	`log-pow`
17×	`prod-diff`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`swap-sqr` `associate--l+`
9×	`associate--r+`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`add-log-exp`
5×	`fma-neg` `distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
2×	`associate--l-` `pow2` `sub-neg` `log-div` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

19.0ms	(* (log z) (log z))
24.0ms	(* (log (+ x y)) (log (+ x y)))
17.0ms	(- (log (+ x y)) (log z))
29.0ms	(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

series875.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(* (log z) (log z))
268.0ms	(* (log (+ x y)) (log (+ x y)))
109.0ms	(- (log (+ x y)) (log z))
227.0ms	(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

simplify1.7s

Counts

169 → 169

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	208	2368
1	432	1884
2	1209	1561
done	5001	1431

prune806.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
83×	`*-un-lft-identity`
71×	`pow1`
60×	`log-pow` `distribute-lft-out`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

64.0ms	(* (cbrt (+ (log (+ x y)) (log z))) (cbrt (+ (log (+ x y)) (log z))))
7.0ms	(cbrt (+ (log (+ x y)) (log z)))
7.0ms	(cbrt (+ (log (+ x y)) (log z)))
13.0ms	(cbrt (+ (log (+ x y)) (log z)))

series2.6s

Counts

4 → 12

Calls

4 calls:

1.4s	(* (cbrt (+ (log (+ x y)) (log z))) (cbrt (+ (log (+ x y)) (log z))))
453.0ms	(cbrt (+ (log (+ x y)) (log z)))
370.0ms	(cbrt (+ (log (+ x y)) (log z)))
376.0ms	(cbrt (+ (log (+ x y)) (log z)))

simplify2.9s

Counts

151 → 151

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	107	2813
1	216	2544
2	474	2420
3	1120	2077
4	3733	2067
done	5000	2067

prune637.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

regimes620.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	18	16
done	18	16

end0.0ms

sample15.2s

Algorithm

intervals

Results

8.3s	56457×	body	80	nan
2.1s	8035×	body	80	valid