Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	326×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

simplify69.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	19	8
2	34	8
3	56	8
4	71	8
5	72	8
done	72	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))

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:

0.0ms

(fma x (+ y z) (* z 5.0))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(fma x (+ y z) (* z 5.0))

simplify689.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	22	146
1	36	140
2	81	121
3	498	121
done	5000	121

prune58.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))

rewrite29.0ms

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:

21.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
2.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
2.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
2.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

375.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
267.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
225.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
221.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	108	1792
1	265	1664
2	926	1503
done	5000	1325

prune376.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series930.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
190.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
248.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
226.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify2.6s

Counts

64 → 64

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	54	964
1	118	948
2	276	848
3	911	788
4	4589	756
done	5000	756

prune382.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.2b	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma x (+ y z) (* z 5.0))
2.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
2.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
21.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

series464.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma x (+ y z) (* z 5.0))
173.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
202.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
55.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

simplify2.5s

Counts

103 → 103

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	94	1850
1	204	1271
2	550	1139
3	2933	1082
done	5004	1046

prune402.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	9	10
1	14	8
2	15	8
done	15	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

643.0ms	9748×	body	80	valid
45.0ms	115×	body	640	valid
23.0ms	105×	body	1280	valid
9.0ms	66×	body	320	valid
3.0ms	32×	body	160	valid