Details

sample54.0ms

Algorithm

intervals

Results

17.0ms	257×	body	80	valid
10.0ms	231×	body	80	nan

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	16	8
3	23	8
4	41	8
5	72	8
6	98	8
7	141	8
8	254	8
9	509	8
10	1509	8
done	5000	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
15.8b	(log (/ x y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
45×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt` `*-un-lft-identity`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
8×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`associate-r`
3×	`associate-l`
2×	`rem-log-exp` `log-pow`
1×	`sub-neg` `log-div` `flip3--` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 107

Calls

3 calls:

28.0ms	(- (* x (log (/ x y))) z)
27.0ms	(* x (log (/ x y)))
7.0ms	(log (/ x y))

series297.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(- (* x (log (/ x y))) z)
88.0ms	(* x (log (/ x y)))
77.0ms	(log (/ x y))

simplify1.0s

Counts

116 → 116

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	192	1277
1	393	1212
2	979	1149
done	5000	1117

prune415.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt x)
265.0ms	(cbrt x)
268.0ms	(cbrt y)
267.0ms	(cbrt y)

simplify1.1s

Counts

56 → 56

Iterations

Useful iterations: 3 (142.0ms)

Iter	Nodes	Cost
0	42	260
1	77	244
2	211	220
3	659	208
4	1936	208
done	5000	208

prune250.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.1b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `log-prod` `rem-log-exp`
4×	`div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `times-frac` `log-pow` `div-inv`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
18.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series817.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(cbrt y)
235.0ms	(cbrt y)
222.0ms	(cbrt y)
129.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify571.0ms

Counts

64 → 64

Iterations

Useful iterations: done (570.0ms)

Iter	Nodes	Cost
0	71	495
1	137	471
2	335	378
3	1225	340
done	5000	337

prune331.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow-prod-down` `prod-exp` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 61

Calls

4 calls:

4.0ms	(cbrt (pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3)

series750.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3))
247.0ms	(cbrt y)
273.0ms	(cbrt y)
142.0ms	(pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3)

simplify670.0ms

Counts

73 → 73

Iterations

Useful iterations: done (668.0ms)

Iter	Nodes	Cost
0	93	758
1	226	644
2	854	567
done	5001	561

prune389.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes276.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	24
1	20	24
done	20	24

end0.0ms

sample1.7s

Algorithm

intervals

Results

464.0ms	8040×	body	80	valid
360.0ms	7993×	body	80	nan