Details

sample50.0ms

Algorithm

intervals

Results

14.0ms	300×	body	80	nan
13.0ms	256×	body	80	valid

simplify5.9s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.3b	(* x (log y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

17.0ms	(- (* x (log y)) z)
17.0ms	(* x (log y))

series183.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(- (* x (log y)) z)
96.0ms	(* x (log y))

simplify2.1s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
3	3836
2	753
1	254
0	111

prune299.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

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)

rewrite13.0ms

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:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

348.0ms	(* (cbrt y) (cbrt y))
238.0ms	(cbrt y)
284.0ms	(cbrt y)
227.0ms	(cbrt y)

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune513.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

15.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(pow y 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

348.0ms	(* (cbrt y) (cbrt y))
274.0ms	(cbrt y)
261.0ms	(cbrt y)
308.0ms	(pow y 1/3)

simplify2.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1990
1	260
0	95

prune556.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
4.3b	(exp (* 1/3 (log y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
8×	`pow1/3`
6×	`log-prod` `swap-sqr` `associate-r` `associate-l` `exp-sum` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `exp-prod` `pow-plus` `exp-to-pow` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

4 → 86

Calls

4 calls:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
8.0ms	(exp (* 1/3 (log y)))

series957.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(* (cbrt y) (cbrt y))
234.0ms	(cbrt y)
234.0ms	(cbrt y)
214.0ms	(exp (* 1/3 (log y)))

simplify2.6s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1194
1	212
0	104

prune778.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes323.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

712.0ms	8140×	body	80	nan
508.0ms	8020×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid