Details

sample2.5s

Algorithm

intervals

Results

2.0s	119×	body	10240	exit
134.0ms	259×	body	80	valid
101.0ms	52×	body	1280	nan
80.0ms	39×	body	640	nan
24.0ms	23×	body	320	nan
8.0ms	12×	body	160	nan
4.0ms	11×	body	80	nan

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (894.0ms)

Iter	Nodes	Cost
0	60	123
1	148	123
2	611	121
3	4565	88
done	5000	88

prune58.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize132.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
96×	`prod-diff`
64×	`add-cube-cbrt`
44×	`associate--l+`
28×	`distribute-lft-out--`
24×	`add-log-exp`
20×	`fma-neg` `difference-of-squares`
12×	`diff-log`
8×	`sub-neg`
4×	`pow1` `add-exp-log` `associate--l-` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 200

Calls

4 calls:

69.0ms	(- (- 1.0 z) 1.0)
59.0ms	(- (- 1.0 z) 1.0)
50.0ms	(- (- 1.0 z) 1.0)
62.0ms	(- (- 1.0 z) 1.0)

series64.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 1.0 z) 1.0)
15.0ms	(- (- 1.0 z) 1.0)

simplify2.5s

Counts

212 → 212

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	84	2848
1	184	2172
2	511	1656
3	3070	1312
done	5000	1312

prune2.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize176.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
96×	`prod-diff`
64×	`add-cube-cbrt`
44×	`associate--l+`
28×	`distribute-lft-out--`
24×	`add-log-exp`
20×	`fma-neg` `difference-of-squares`
12×	`diff-log`
8×	`sub-neg`
4×	`pow1` `add-exp-log` `associate--l-` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 200

Calls

4 calls:

86.0ms	(- (- 1.0 z) 1.0)
60.0ms	(- (- 1.0 z) 1.0)
79.0ms	(- (- 1.0 z) 1.0)
90.0ms	(- (- 1.0 z) 1.0)

series84.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 1.0 z) 1.0)
21.0ms	(- (- 1.0 z) 1.0)
20.0ms	(- (- 1.0 z) 1.0)

simplify2.4s

Counts

212 → 212

Iterations

Useful iterations: 3 (900.0ms)

Iter	Nodes	Cost
0	84	2848
1	184	2172
2	511	1656
3	3070	1312
done	5000	1312

prune3.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.7b

localize179.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
96×	`prod-diff`
64×	`add-cube-cbrt`
44×	`associate--l+`
28×	`distribute-lft-out--`
24×	`add-log-exp`
20×	`fma-neg` `difference-of-squares`
12×	`diff-log`
8×	`sub-neg`
4×	`pow1` `add-exp-log` `associate--l-` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 200

Calls

4 calls:

98.0ms	(- (- 1.0 z) 1.0)
53.0ms	(- (- 1.0 z) 1.0)
62.0ms	(- (- 1.0 z) 1.0)
70.0ms	(- (- 1.0 z) 1.0)

series75.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)
20.0ms	(- (- 1.0 z) 1.0)
23.0ms	(- (- 1.0 z) 1.0)

simplify2.5s

Counts

212 → 212

Iterations

Useful iterations: 3 (925.0ms)

Iter	Nodes	Cost
0	84	2848
1	184	2172
2	511	1656
3	3070	1312
done	5000	1312

prune3.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.7b

localize138.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
96×	`prod-diff`
64×	`add-cube-cbrt`
44×	`associate--l+`
28×	`distribute-lft-out--`
24×	`add-log-exp`
20×	`fma-neg` `difference-of-squares`
12×	`diff-log`
8×	`sub-neg`
4×	`pow1` `add-exp-log` `associate--l-` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 200

Calls

4 calls:

92.0ms	(- (- 1.0 z) 1.0)
91.0ms	(- (- 1.0 z) 1.0)
95.0ms	(- (- 1.0 z) 1.0)
69.0ms	(- (- 1.0 z) 1.0)

series71.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)
15.0ms	(- (- 1.0 z) 1.0)
27.0ms	(- (- 1.0 z) 1.0)

simplify2.5s

Counts

212 → 212

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	84	2848
1	184	2172
2	511	1656
3	3070	1312
done	5000	1312

prune3.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.7b

regimes108.0ms

Accuracy

0% (0.1b remaining)

Error of 1.8b against oracle of 1.7b and baseline of 1.8b

bsearch0.0ms

simplify35.0ms

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	68	136
1	96	132
2	102	132
done	102	132

end0.0ms

sample1.3m

Algorithm

intervals

Results

1.1m	3843×	body	10240	exit
5.4s	1594×	body	1280	nan
4.2s	1295×	body	640	nan
3.8s	8097×	body	80	valid
716.0ms	604×	body	320	nan
662.0ms	338×	body	160	nan
91.0ms	273×	body	80	nan
0.0ms	1×	body	160	valid