Details

sample48.0ms

Algorithm

intervals

Results

20.0ms

403×

body

valid

simplify111.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	33	9
3	64	9
4	85	9
5	86	9
done	86	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

14.0ms

(- (* x x) (* (* y 4.0) z))

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(- (* x x) (* (* y 4.0) z))

simplify4.8s

Counts

19 → 19

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	42	266
1	126	257
2	685	225
3	4572	225
done	5000	225

prune132.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x x (- (* z (* y 4.0))))

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 x x (- (* z (* y 4.0))))

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

(fma x x (- (* z (* y 4.0))))

simplify4.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	23	150
1	41	150
2	116	132
3	418	132
4	2137	132
done	5000	132

prune91.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
2.4b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.4b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.4b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

91.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
17.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
11.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
11.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series687.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
171.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
169.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
177.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify1.3s

Counts

107 → 107

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	126	2501
1	305	2320
2	1224	2088
done	5001	1916

prune935.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes459.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	22	9
done	22	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

12188×

body

valid