Details

sample1.5s

Algorithm

intervals

Results

1.3s	120×	body	10240	exit
54.0ms	54×	body	1280	nan
50.0ms	259×	body	80	valid
31.0ms	45×	body	640	nan
8.0ms	17×	body	320	nan
3.0ms	10×	body	160	nan
1.0ms	7×	body	80	nan

simplify109.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

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

prune36.0ms

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)

rewrite187.0ms

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:

46.0ms	(- (- 1.0 z) 1.0)
44.0ms	(- (- 1.0 z) 1.0)
44.0ms	(- (- 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)
12.0ms	(- (- 1.0 z) 1.0)

simplify109.0ms

Counts

212 → 212

Iterations

Useful iterations: 3 (97.0ms)

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

localize74.0ms

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 (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

rewrite153.0ms

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:

44.0ms	(- (- 1.0 z) 1.0)
44.0ms	(- (- 1.0 z) 1.0)
49.0ms	(- (- 1.0 z) 1.0)
6.0ms	(+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
18.0ms	(- (- 1.0 z) 1.0)
169.0ms	(+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

simplify40.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	243	1429
1	807	788
2	5001	577
done	5001	577

prune2.2s

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 (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

rewrite147.0ms

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:

45.0ms	(- (- 1.0 z) 1.0)
45.0ms	(- (- 1.0 z) 1.0)
43.0ms	(- (- 1.0 z) 1.0)
6.0ms	(+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

series202.0ms

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)
167.0ms	(+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

simplify42.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	243	1429
1	807	788
2	5001	577
done	5001	577

prune2.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize82.0ms

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 (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))))) (cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 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)
44.0ms	(- (- 1.0 z) 1.0)
46.0ms	(- (- 1.0 z) 1.0)
0.0ms	(fma (* (cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))))) (cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (fma -1 z (- z 1.0)))

series669.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
18.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
628.0ms	(fma (* (cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))))) (cbrt (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (fma -1 z (- z 1.0)))

simplify51.0ms

Counts

172 → 172

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	328	1679
1	1233	1012
2	5002	727
done	5002	727

prune2.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.8b

regimes74.0ms

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	113	112
1	122	112
2	122	112
done	122	112

end0.0ms

sample44.7s

Algorithm

intervals

Results

39.7s	3807×	body	10240	exit
1.6s	1556×	body	1280	nan
1.5s	8089×	body	80	valid
917.0ms	1301×	body	640	nan
314.0ms	611×	body	320	nan
94.0ms	286×	body	160	nan
53.0ms	314×	body	80	nan
0.0ms	1×	body	160	valid