Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

360×

body

valid

simplify56.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	164
1	14	114
2	24	114
3	49	114
4	80	114
5	93	114
done	93	114

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (fma x y z) y t)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (fma x y z) y t)

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(fma (fma x y z) y t)

simplify3.0s

Counts

13 → 13

Iterations

Useful iterations: 4 (544.0ms)

Iter	Nodes	Cost
0	23	2617
1	40	2225
2	100	2200
3	371	2120
4	2475	2070
done	5002	2070

prune95.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

17.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
2.0ms	(cbrt (fma (fma x y z) y t))

series842.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
175.0ms	(cbrt (fma (fma x y z) y t))
222.0ms	(cbrt (fma (fma x y z) y t))
230.0ms	(cbrt (fma (fma x y z) y t))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	107	32725
1	267	29142
2	925	28855
done	5000	27498

prune751.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))

series876.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt (fma (fma x y z) y t))
248.0ms	(cbrt (fma (fma x y z) y t))
207.0ms	(cbrt (fma (fma x y z) y t))
182.0ms	(cbrt (fma (fma x y z) y t))

simplify1.2s

Counts

64 → 64

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	56	23536
1	125	20648
2	330	20348
3	1194	19092
done	5001	18440

prune468.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (fma (fma x y z) y t))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))

series874.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (fma (fma x y z) y t))
220.0ms	(cbrt (fma (fma x y z) y t))
204.0ms	(cbrt (fma (fma x y z) y t))
237.0ms	(cbrt (fma (fma x y z) y t))

simplify1.2s

Counts

64 → 64

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	56	23536
1	125	20648
2	330	20348
3	1194	19092
done	5001	18440

prune495.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes321.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	114
done	6	114

end0.0ms

sample1.2s

Algorithm

intervals

Results

739.0ms

11299×

body

valid