Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	236×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify249.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (124.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	57	9
3	139	8
4	212	8
5	240	7
6	246	7
done	246	7

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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:

0.0ms

(fma 3 x z)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(fma 3 x z)

simplify3.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	15	78
1	18	75
2	40	67
3	105	67
4	298	67
5	977	67
6	2961	67
done	5000	67

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) z)

rewrite3.0ms

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:

3.0ms

(+ (* 3 x) z)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ (* 3 x) z)

simplify2.9s

Counts

17 → 17

Iterations

Useful iterations: 4 (294.0ms)

Iter	Nodes	Cost
0	27	136
1	89	113
2	231	103
3	579	103
4	1448	102
5	3846	102
done	5000	102

prune43.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
0.6b	(cbrt (fma 3 x z))
0.6b	(cbrt (fma 3 x z))
0.6b	(cbrt (fma 3 x z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
0.0ms	(cbrt (fma 3 x z))
0.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (fma 3 x z))

series778.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
190.0ms	(cbrt (fma 3 x z))
188.0ms	(cbrt (fma 3 x z))
183.0ms	(cbrt (fma 3 x z))

simplify2.1s

Counts

93 → 93

Iterations

Useful iterations: 4 (958.0ms)

Iter	Nodes	Cost
0	101	1122
1	205	1026
2	524	950
3	1411	847
4	4016	814
done	5000	814

prune277.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3 x) z)
0.2b	(* 9 (* x x))
3.9b	(- (* 9 (* x x)) (* z z))
29.1b	(/ (- (* 9 (* x x)) (* z z)) (- (* 3 x) z))

rewrite39.0ms

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:

3.0ms	(- (* 3 x) z)
6.0ms	(* 9 (* x x))
7.0ms	(- (* 9 (* x x)) (* z z))
20.0ms	(/ (- (* 9 (* x x)) (* z z)) (- (* 3 x) z))

series160.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* 3 x) z)
25.0ms	(* 9 (* x x))
42.0ms	(- (* 9 (* x x)) (* z z))
68.0ms	(/ (- (* 9 (* x x)) (* z z)) (- (* 3 x) z))

simplify682.0ms

Counts

101 → 101

Iterations

Useful iterations: done (679.0ms)

Iter	Nodes	Cost
0	149	1463
1	372	1372
2	1360	1235
done	5000	1231

prune263.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes61.0ms

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

sample369.0ms

Algorithm

intervals

Results

164.0ms	7431×	body	80	valid
20.0ms	178×	body	1280	valid
14.0ms	180×	body	640	valid
7.0ms	119×	body	320	valid
4.0ms	31×	body	2560	valid
3.0ms	70×	body	160	valid