Details

sample46.0ms

Algorithm

intervals

Results

18.0ms	257×	body	80	valid
8.0ms	263×	body	80	nan

simplify252.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

117.0ms	(- (- (* x (log y)) z) y)
12.0ms	(- (* x (log y)) z)
12.0ms	(* x (log y))

series266.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (- (* x (log y)) z) y)
106.0ms	(- (* x (log y)) z)
92.0ms	(* x (log y))

simplify3.8s

Counts

101 → 101

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	172	1162
1	364	991
2	763	877
3	2550	791
done	5001	749

prune716.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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)

rewrite34.0ms

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:

26.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

309.0ms	(* (cbrt y) (cbrt y))
315.0ms	(cbrt y)
261.0ms	(cbrt y)
307.0ms	(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

prune414.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 102

Calls

4 calls:

21.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
9.0ms	(pow (/ 1 y) -1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

274.0ms	(* (cbrt y) (cbrt y))
259.0ms	(cbrt y)
277.0ms	(cbrt y)
279.0ms	(pow (/ 1 y) -1/3)

simplify1.9s

Counts

114 → 114

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	141	824
1	275	652
2	584	624
3	1687	602
done	5000	597

prune583.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(pow (cbrt (cbrt y)) (+ 4 1))
5.1b	(pow (/ 1 y) -1/3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

22×	`unpow-prod-down`
20×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`cbrt-prod`
10×	`add-exp-log`
9×	`times-frac`
7×	`pow1` `pow-unpow`
5×	`pow-pow` `pow-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`pow-to-exp` `div-exp` `sqr-pow`
1×	`unpow-prod-up` `rec-exp` `pow-flip` `1-exp` `div-inv` `distribute-lft-out` `inv-pow`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
14.0ms	(pow (cbrt (cbrt y)) (+ 4 1))
10.0ms	(pow (/ 1 y) -1/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt y)
268.0ms	(cbrt y)
511.0ms	(pow (cbrt (cbrt y)) (+ 4 1))
261.0ms	(pow (/ 1 y) -1/3)

simplify3.2s

Counts

100 → 100

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	156	835
1	332	659
2	611	615
3	1345	602
4	3958	598
done	5000	537

prune564.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes186.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

391.0ms	8044×	body	80	valid
295.0ms	8063×	body	80	nan