Details

sample66.0ms

Algorithm

intervals

Results

18.0ms	255×	body	80	nan
16.0ms	256×	body	80	valid
1.0ms	1×	body	2560	valid

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1296
6	469
5	213
4	96
3	51
2	29
1	15
0	7

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.2b	(* x (log y))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
17×	`associate--l+`
16×	`add-cube-cbrt`
12×	`log-prod` `prod-diff`
7×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1`
4×	`add-cbrt-cube` `associate-r` `add-exp-log`
3×	`fma-neg` `diff-log` `associate-l`
2×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
1×	`associate--l-` `flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 68

Calls

2 calls:

59.0ms	(- (- (* x (log y)) z) y)
18.0ms	(* x (log y))

series478.0ms

Counts

2 → 6

Calls

2 calls:

423.0ms	(- (- (* x (log y)) z) y)
54.0ms	(* x (log y))

simplify723.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1093
1	349
0	148

prune437.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma x (+ 0 (log y)) (- y))

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:

1.0ms

(fma x (+ 0 (log y)) (- y))

series111.0ms

Counts

1 → 3

Calls

1 calls:

111.0ms

(fma x (+ 0 (log y)) (- y))

simplify1.1s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
3	1108
2	181
1	64
0	33

prune120.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite25.0ms

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 y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

328.0ms	(* (cbrt y) (cbrt y))
247.0ms	(cbrt y)
263.0ms	(cbrt y)
321.0ms	(cbrt y)

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune540.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (expm1 (log1p (pow y 2/3)))))
0.6b	(cbrt y)
2.8b	(expm1 (log1p (pow y 2/3)))
6.1b	(pow y 2/3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
7×	`add-exp-log`
6×	`log-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `pow-unpow` `unpow-prod-down` `distribute-lft-in` `associate-l`
1×	`pow-to-exp` `expm1-log1p` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `expm1-udef` `unswap-sqr` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

7.0ms	(* x (log (expm1 (log1p (pow y 2/3)))))
1.0ms	(cbrt y)
0.0ms	(expm1 (log1p (pow y 2/3)))
3.0ms	(pow y 2/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

145.0ms	(* x (log (expm1 (log1p (pow y 2/3)))))
309.0ms	(cbrt y)
478.0ms	(expm1 (log1p (pow y 2/3)))
264.0ms	(pow y 2/3)

simplify697.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	916
1	252
0	120

prune555.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes224.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
2	11
1	10
0	9

end0.0ms

sample1.6s

Algorithm

intervals

Results

489.0ms	8026×	body	80	valid
310.0ms	7918×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid