Details

sample34.0ms

Algorithm

intervals

Results

14.0ms

344×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	17	17
1	35	17
2	90	16
3	245	16
4	526	16
5	713	16
6	835	16
7	872	16
8	1073	16
9	1666	16
10	1909	16
done	1909	16

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
5.5b	(* (* (* y 9.0) z) t)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
6.0ms	(* (* y 9.0) z)
21.0ms	(* (* (* y 9.0) z) t)

series214.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
19.0ms	(* (* y 9.0) z)
27.0ms	(* (* (* y 9.0) z) t)

simplify540.0ms

Counts

62 → 62

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	97	681
1	228	665
2	990	547
done	5000	547

prune196.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (* a 27.0) b (- (* x 2.0) (* (* y (* 9.0 z)) t)))
0.2b	(* y (* 9.0 z))
5.5b	(* (* y (* 9.0 z)) t)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`fma-udef`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y (* 9.0 z)) t)))
6.0ms	(* y (* 9.0 z))
18.0ms	(* (* y (* 9.0 z)) t)

series445.0ms

Counts

3 → 9

Calls

3 calls:

398.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y (* 9.0 z)) t)))
19.0ms	(* y (* 9.0 z))
27.0ms	(* (* y (* 9.0 z)) t)

simplify461.0ms

Counts

62 → 62

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	95	680
1	226	666
2	929	548
done	5001	548

prune190.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (* a 27.0) b (- (* x 2.0) (* y (* (* 9.0 z) t))))
0.2b	(* (* 9.0 z) t)
6.2b	(* y (* (* 9.0 z) t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`fma-udef`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* (* 9.0 z) t))))
6.0ms	(* (* 9.0 z) t)
16.0ms	(* y (* (* 9.0 z) t))

series217.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* (* 9.0 z) t))))
19.0ms	(* (* 9.0 z) t)
31.0ms	(* y (* (* 9.0 z) t))

simplify3.2s

Counts

62 → 62

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	96	680
1	223	666
2	952	548
3	4997	548
done	5000	548

prune180.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma 27.0 (* a b) (* 2.0 x))
0.2b	(* 9.0 (* t (* z y)))
5.5b	(* t (* z y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma 27.0 (* a b) (* 2.0 x))
17.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* t (* z y))

series104.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(fma 27.0 (* a b) (* 2.0 x))
30.0ms	(* 9.0 (* t (* z y)))
28.0ms	(* t (* z y))

simplify1.2s

Counts

62 → 62

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	83	559
1	181	547
2	635	445
3	2933	445
done	5001	445

prune157.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes446.0ms

Accuracy

80.1% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.7b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	30	60
1	42	45
done	42	45

end0.0ms

sample839.0ms

Algorithm

intervals

Results

452.0ms

10972×

body

valid