Details

sample1.5s

Algorithm

intervals

Results

1.3s	120×	body	10240	exit
56.0ms	54×	body	1280	nan
50.0ms	259×	body	80	valid
33.0ms	45×	body	640	nan
8.0ms	17×	body	320	nan
4.0ms	10×	body	160	nan
1.0ms	7×	body	80	nan

simplify109.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	148	63
1	619	63
2	4284	62
3	5001	62
done	5001	62

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize57.0ms

Local error

Found 4 expressions with local error:

7.2b	(- (- 1.0 z) 1.0)
7.2b	(- (- 1.0 z) 1.0)
7.2b	(- (- 1.0 z) 1.0)
7.2b	(- (- 1.0 z) 1.0)

rewrite188.0ms

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:

45.0ms	(- (- 1.0 z) 1.0)
45.0ms	(- (- 1.0 z) 1.0)
45.0ms	(- (- 1.0 z) 1.0)
44.0ms	(- (- 1.0 z) 1.0)

series48.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)

simplify107.0ms

Counts

212 → 212

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	168	1460
1	532	756
2	2706	528
3	5002	460
done	5002	460

prune1.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize72.0ms

Local error

Found 4 expressions with local error:

7.2b	(- (- 1.0 z) 1.0)
7.2b	(- (- 1.0 z) 1.0)
7.2b	(- (- 1.0 z) 1.0)
7.6b	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
72×	`prod-diff`
50×	`add-cube-cbrt`
33×	`associate--l+`
21×	`distribute-lft-out--` `add-log-exp`
15×	`fma-neg` `difference-of-squares`
9×	`diff-log`
6×	`sub-neg`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`associate--l-` `flip3--` `fma-def` `flip--`
2×	`fma-udef`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 169

Calls

4 calls:

46.0ms	(- (- 1.0 z) 1.0)
242.0ms	(- (- 1.0 z) 1.0)
49.0ms	(- (- 1.0 z) 1.0)
6.0ms	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
165.0ms	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

simplify44.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	252	1388
1	918	762
2	5001	560
done	5001	560

prune1.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize73.0ms

Local error

Found 4 expressions with local error:

7.2b	(- (- 1.0 z) 1.0)
7.2b	(- (- 1.0 z) 1.0)
7.2b	(- (- 1.0 z) 1.0)
7.6b	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
72×	`prod-diff`
50×	`add-cube-cbrt`
33×	`associate--l+`
21×	`distribute-lft-out--` `add-log-exp`
15×	`fma-neg` `difference-of-squares`
9×	`diff-log`
6×	`sub-neg`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`associate--l-` `flip3--` `fma-def` `flip--`
2×	`fma-udef`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 169

Calls

4 calls:

46.0ms	(- (- 1.0 z) 1.0)
44.0ms	(- (- 1.0 z) 1.0)
48.0ms	(- (- 1.0 z) 1.0)
6.0ms	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
166.0ms	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

simplify41.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	252	1388
1	918	762
2	5001	560
done	5001	560

prune2.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize75.0ms

Local error

Found 4 expressions with local error:

7.2b	(- (- 1.0 z) 1.0)
7.2b	(- (- 1.0 z) 1.0)
7.2b	(- (- 1.0 z) 1.0)
7.4b	(fma (* (cbrt (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (cbrt (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))))) (cbrt (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (fma -1 z (- z 1.0)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
79×	`add-sqr-sqrt`
72×	`prod-diff`
49×	`add-cube-cbrt`
33×	`associate--l+`
21×	`distribute-lft-out--`
19×	`add-log-exp`
15×	`fma-neg` `difference-of-squares`
9×	`diff-log`
6×	`sub-neg`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`associate--l-` `flip3--` `flip--`
1×	`fma-udef`

Counts

4 → 160

Calls

4 calls:

45.0ms	(- (- 1.0 z) 1.0)
45.0ms	(- (- 1.0 z) 1.0)
44.0ms	(- (- 1.0 z) 1.0)
0.0ms	(fma (* (cbrt (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (cbrt (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))))) (cbrt (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (fma -1 z (- z 1.0)))

series4.9s

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
4.9s	(fma (* (cbrt (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (cbrt (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))))) (cbrt (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (fma -1 z (- z 1.0)))

simplify188.0ms

Counts

172 → 172

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	247	1573
1	875	917
2	4976	646
3	5001	646
done	5001	646

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	107
1	119	107
2	119	107
done	119	107

end0.0ms

sample45.3s

Algorithm

intervals

Results

40.0s	3807×	body	10240	exit
1.7s	1556×	body	1280	nan
1.5s	8089×	body	80	valid
962.0ms	1301×	body	640	nan
322.0ms	611×	body	320	nan
100.0ms	286×	body	160	nan
58.0ms	314×	body	80	nan
0.0ms	1×	body	160	valid