Details

sample335.0ms

Algorithm

intervals

Results

195.0ms	1926×	body	80	nan
24.0ms	258×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1804
4	471
3	157
2	61
1	27
0	15

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize53.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.2b	(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
0.3b	(+ (log (+ y x)) (- (log z) t))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

13.0ms	(- (log z) t)
0.0ms	(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
22.0ms	(+ (log (+ y x)) (- (log z) t))

series503.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- (log z) t)
153.0ms	(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
248.0ms	(+ (log (+ y x)) (- (log z) t))

simplify1.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1450
1	440
0	185

prune871.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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×	`log-div` `associate-+l+` `fma-def` `associate-+l-`
3×	`expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u`
2×	`associate--l-` `sum-log` `diff-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `fma-udef` `flip--` `difference-of-squares`

Counts

3 → 92

Calls

3 calls:

71.0ms	(- (+ (log (+ y x)) (log z)) t)
0.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ y x)) (log z)) t))
11.0ms	(+ (log (+ y x)) (log z))

series529.0ms

Counts

3 → 9

Calls

3 calls:

267.0ms	(- (+ (log (+ y x)) (log z)) t)
144.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ y x)) (log z)) t))
119.0ms	(+ (log (+ y x)) (log z))

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1421
1	409
0	171

prune657.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `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 → 81

Calls

4 calls:

9.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series967.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt z) (cbrt z))
242.0ms	(cbrt z)
247.0ms	(cbrt z)
237.0ms	(cbrt z)

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune815.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

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-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
6×	`add-log-exp`
5×	`fma-neg` `distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
2×	`associate--l-` `pow2` `log-div` `sub-neg` `pow-plus` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

8.0ms	(* (log z) (log z))
17.0ms	(* (log (+ y x)) (log (+ y x)))
14.0ms	(- (* (log (+ y x)) (log (+ y x))) (* (log z) (log z)))
12.0ms	(- (log (+ y x)) (log z))

series676.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (log z) (log z))
209.0ms	(* (log (+ y x)) (log (+ y x)))
204.0ms	(- (* (log (+ y x)) (log (+ y x))) (* (log z) (log z)))
80.0ms	(- (log (+ y x)) (log z))

simplify2.2s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	3675
1	559
0	208

prune923.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes1.3s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	21
1	21
0	18

end0.0ms

sample10.3s

Algorithm

intervals

Results

6.6s	56608×	body	80	nan
919.0ms	8027×	body	80	valid