Details

sample42.0ms

Algorithm

intervals

Results

17.0ms	231×	body	80	valid
1.0ms	9×	body	320	valid
1.0ms	6×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	5×	body	160	valid
0.0ms	1×	body	2560	valid

simplify676.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (380.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	66	11
3	208	9
4	419	8
5	469	7
6	475	7
done	475	7

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 x z)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 3 x z)

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(fma 3 x z)

simplify6.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	15	78
1	21	75
2	58	67
3	207	67
4	785	67
5	4817	67
done	5000	67

prune93.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 14

Calls

1 calls:

14.0ms

(+ (* 3 x) z)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(+ (* 3 x) z)

simplify3.1s

Counts

17 → 17

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	27	136
1	89	113
2	262	103
3	802	103
4	2596	102
done	5000	102

prune101.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3 x) z)
0.1b	(* 9 (* x x))
4.5b	(- (* 9 (* x x)) (* z z))
30.2b	(/ (- (* 9 (* x x)) (* z z)) (- (* 3 x) z))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `times-frac`
8×	`add-log-exp`
4×	`expm1-log1p-u` `flip3--` `prod-diff` `flip--` `log1p-expm1-u`
3×	`associate-l` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`sub-neg` `fma-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

17.0ms	(- (* 3 x) z)
30.0ms	(* 9 (* x x))
38.0ms	(- (* 9 (* x x)) (* z z))
103.0ms	(/ (- (* 9 (* x x)) (* z z)) (- (* 3 x) z))

series272.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* 3 x) z)
43.0ms	(* 9 (* x x))
68.0ms	(- (* 9 (* x x)) (* z z))
119.0ms	(/ (- (* 9 (* x x)) (* z z)) (- (* 3 x) z))

simplify3.4s

Counts

101 → 101

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	149	1463
1	440	1386
2	3158	1238
done	5000	1237

prune652.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes209.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
done	7	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

983.0ms	7443×	body	80	valid
61.0ms	113×	body	320	valid
45.0ms	161×	body	1280	valid
41.0ms	204×	body	640	valid
10.0ms	33×	body	2560	valid
6.0ms	65×	body	160	valid