Details

sample68.0ms

Algorithm

intervals

Results

44.0ms	253×	body	10240	exit
6.0ms	200×	body	80	valid
2.0ms	29×	body	320	valid
2.0ms	15×	body	640	valid
1.0ms	13×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (155.0ms)

Iter	Nodes	Cost
0	8	16
1	21	15
2	52	15
3	111	15
4	202	14
5	689	12
6	2532	12
done	5000	12

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ (- wj (/ x (exp wj))) (+ wj 1))
5.1b	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

177×	`add-sqr-sqrt`
173×	`*-un-lft-identity`
123×	`times-frac`
90×	`prod-diff`
87×	`add-cube-cbrt`
36×	`difference-of-squares`
25×	`distribute-lft-out`
18×	`distribute-lft-out--`
9×	`associate-/l*`
8×	`associate-/r/`
7×	`associate-/r*` `add-cbrt-cube`
6×	`add-exp-log`
5×	`div-inv` `add-log-exp`
4×	`flip3-+` `flip-+`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 193

Calls

3 calls:

3.0ms	(/ x (exp wj))
28.0ms	(/ (- wj (/ x (exp wj))) (+ wj 1))
45.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

series113.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ x (exp wj))
37.0ms	(/ (- wj (/ x (exp wj))) (+ wj 1))
47.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

simplify1.1s

Counts

202 → 202

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	331	8699
1	824	7884
2	2295	5807
done	5000	5794

prune352.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* wj x))
0.0b	(- (fma wj wj x) (* 2 (* wj x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`fma-neg` `associate-l` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate--l+` `*-commutative` `flip--` `fma-udef`

Counts

2 → 41

Calls

2 calls:

6.0ms	(* 2 (* wj x))
3.0ms	(- (fma wj wj x) (* 2 (* wj x)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* 2 (* wj x))
30.0ms	(- (fma wj wj x) (* 2 (* wj x)))

simplify2.0s

Counts

47 → 47

Iterations

Useful iterations: 3 (792.0ms)

Iter	Nodes	Cost
0	76	542
1	187	504
2	642	424
3	3196	383
done	5001	383

prune103.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (exp wj)) (+ wj 1))
5.4b	(- wj (/ wj (+ wj 1)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

169×	`*-un-lft-identity`
155×	`times-frac`
118×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
54×	`prod-diff`
27×	`distribute-lft-out`
19×	`associate-/l*`
13×	`add-cbrt-cube`
11×	`add-exp-log` `associate-/r*` `div-inv`
10×	`associate-/r/`
6×	`add-log-exp`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 226

Calls

4 calls:

3.0ms	(/ x (exp wj))
5.0ms	(/ wj (+ wj 1))
10.0ms	(/ (/ x (exp wj)) (+ wj 1))
16.0ms	(- wj (/ wj (+ wj 1)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ x (exp wj))
23.0ms	(/ wj (+ wj 1))
39.0ms	(/ (/ x (exp wj)) (+ wj 1))
29.0ms	(- wj (/ wj (+ wj 1)))

simplify1.1s

Counts

238 → 238

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	370	5110
1	861	4511
2	2367	3673
done	5000	3662

prune479.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (fma wj wj (pow wj 4)) (pow wj 3)) (/ (/ x (exp wj)) (+ wj 1)))
0.0b	(/ x (exp wj))
0.0b	(- (fma wj wj (pow wj 4)) (pow wj 3))
0.0b	(/ (/ x (exp wj)) (+ wj 1))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

142×	`*-un-lft-identity`
119×	`add-sqr-sqrt`
106×	`times-frac`
105×	`add-cube-cbrt`
72×	`prod-diff`
39×	`associate-+l+`
20×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out` `associate-/l*`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-exp-log`
8×	`fma-def` `difference-of-squares` `sqr-pow`
7×	`associate-/r*` `div-inv`
6×	`cube-mult` `unpow3`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`fma-neg` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `frac-add` `associate--l+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `fma-udef`
1×	`+-commutative` `associate-+l-` `associate-/l/`

Counts

4 → 242

Calls

4 calls:

77.0ms	(+ (- (fma wj wj (pow wj 4)) (pow wj 3)) (/ (/ x (exp wj)) (+ wj 1)))
3.0ms	(/ x (exp wj))
7.0ms	(- (fma wj wj (pow wj 4)) (pow wj 3))
10.0ms	(/ (/ x (exp wj)) (+ wj 1))

series154.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (- (fma wj wj (pow wj 4)) (pow wj 3)) (/ (/ x (exp wj)) (+ wj 1)))
25.0ms	(/ x (exp wj))
33.0ms	(- (fma wj wj (pow wj 4)) (pow wj 3))
40.0ms	(/ (/ x (exp wj)) (+ wj 1))

simplify1.0s

Counts

254 → 254

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	343	5428
1	794	4309
2	2440	3810
done	5000	3809

prune699.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	20	33
1	27	29
done	27	29

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.4s	7783×	body	10240	exit
192.0ms	6321×	body	80	valid
72.0ms	770×	body	320	valid
64.0ms	453×	body	640	valid
32.0ms	539×	body	160	valid