Details

sample57.0ms

Algorithm

intervals

Results

13.0ms	257×	body	80	valid
11.0ms	272×	body	80	nan

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3880
7	1171
6	415
5	191
4	83
3	41
2	25
1	14
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate--l+`
18×	`log-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-cbrt-cube` `add-exp-log`
4×	`diff-log` `associate-r`
3×	`sub-neg` `associate-l`
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 → 67

Calls

3 calls:

8.0ms	(- (* x (log y)) z)
41.0ms	(- (- (* x (log y)) z) y)
7.0ms	(* x (log y))

series132.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* x (log y)) z)
37.0ms	(- (- (* x (log y)) z) y)
40.0ms	(* x (log y))

simplify2.1s

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
3	3841
2	726
1	273
0	125

prune380.0ms

Pruning

5 alts after pruning (4 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)

rewrite18.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

13.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

293.0ms	(* (cbrt y) (cbrt y))
255.0ms	(cbrt y)
239.0ms	(cbrt y)
242.0ms	(cbrt y)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune497.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow (/ 1 y) -1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

13.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(pow (/ 1 y) -1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

280.0ms	(* (cbrt y) (cbrt y))
233.0ms	(cbrt y)
258.0ms	(cbrt y)
258.0ms	(pow (/ 1 y) -1/3)

simplify1.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1566
1	374
0	135

prune652.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (pow y 1/3) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
12×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-l`
6×	`associate-r` `unswap-sqr`
5×	`pow1` `add-cbrt-cube` `pow1/3`
4×	`add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `unpow1/3` `pow-exp` `cbrt-unprod`
1×	`pow-pow` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 75

Calls

4 calls:

22.0ms	(* (pow y 1/3) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series985.0ms

Counts

4 → 12

Calls

4 calls:

306.0ms	(* (pow y 1/3) (cbrt y))
234.0ms	(cbrt y)
236.0ms	(cbrt y)
208.0ms	(pow y 1/3)

simplify1.9s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1580
1	233
0	93

prune657.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes316.0ms

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

sample2.3s

Algorithm

intervals

Results

928.0ms	8022×	body	80	valid
454.0ms	8077×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid