Details

sample42.0ms

Algorithm

intervals

Results

11.0ms	257×	body	80	valid
7.0ms	311×	body	80	nan

simplify306.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	49	8
4	56	8
5	64	8
6	86	8
7	111	8
8	141	8
9	153	8
10	154	8
11	160	8
12	161	8
done	161	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `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` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

11.0ms	(- (* x (log y)) z)
12.0ms	(* x (log y))

series160.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(- (* x (log y)) z)
72.0ms	(* x (log y))

simplify4.5s

Counts

57 → 57

Iterations

Useful iterations: 4 (2.3s)

Iter	Nodes	Cost
0	111	494
1	221	441
2	431	401
3	1081	381
4	4195	375
done	5000	375

prune170.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite31.0ms

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:

22.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt y) (cbrt y))
228.0ms	(cbrt y)
267.0ms	(cbrt y)
258.0ms	(cbrt y)

simplify5.3s

Counts

93 → 93

Iterations

Useful iterations: done (5.3s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune379.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite25.0ms

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:

17.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (cbrt x) (cbrt x))
216.0ms	(cbrt x)
225.0ms	(cbrt x)
292.0ms	(cbrt x)

simplify4.7s

Counts

93 → 93

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune423.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
0.5b	(cbrt (* x (log y)))
0.5b	(cbrt (* x (log y)))
0.5b	(cbrt (* x (log y)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

29.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
8.0ms	(cbrt (* x (log y)))
8.0ms	(cbrt (* x (log y)))
8.0ms	(cbrt (* x (log y)))

series684.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
159.0ms	(cbrt (* x (log y)))
162.0ms	(cbrt (* x (log y)))
169.0ms	(cbrt (* x (log y)))

simplify3.7s

Counts

78 → 78

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	93	821
1	192	743
2	439	655
3	1113	561
4	3871	504
done	5000	504

prune349.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	18
1	15	18
done	15	18

end0.0ms

sample1.3s

Algorithm

intervals

Results

335.0ms	8026×	body	80	valid
243.0ms	7945×	body	80	nan
1.0ms	2×	body	1280	valid