Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	251×	body	80	nan
8.0ms	256×	body	80	valid

simplify109.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	47	8
4	58	8
5	66	8
6	89	8
7	127	8
8	156	8
9	160	8
done	160	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))

rewrite11.0ms

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:

4.0ms	(- (* x (log y)) z)
5.0ms	(* x (log y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (* x (log y)) z)
43.0ms	(* x (log y))

simplify1.2s

Counts

57 → 57

Iterations

Useful iterations: 3 (396.0ms)

Iter	Nodes	Cost
0	111	494
1	215	441
2	595	398
3	1934	381
done	5000	381

prune114.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
14.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series543.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* x (log (cbrt y)))
100.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
175.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify864.0ms

Counts

123 → 123

Iterations

Useful iterations: done (861.0ms)

Iter	Nodes	Cost
0	163	1298
1	347	1053
2	1154	937
done	5000	872

prune392.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize162.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 2 (log (pow (/ 1 y) -1/3))))
0.3b	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
0.5b	(cbrt y)
5.2b	(pow (/ 1 y) -1/3)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

148×	`log-prod`
142×	`distribute-rgt-in` `distribute-lft-in`
117×	`unpow-prod-down`
82×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
81×	`times-frac`
68×	`associate-+l+`
14×	`add-exp-log`
12×	`associate-+r+`
11×	`pow1`
9×	`cbrt-prod` `add-cbrt-cube` `div-inv` `sqr-pow`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`pow-unpow` `pow-pow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `fma-def` `flip3-+` `pow1/3` `1-exp` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 230

Calls

4 calls:

26.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
32.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
5.0ms	(pow (/ 1 y) -1/3)

series613.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
182.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
172.0ms	(cbrt y)
171.0ms	(pow (/ 1 y) -1/3)

simplify1.0s

Counts

242 → 242

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	436	4077
1	956	3392
2	2251	2622
done	5000	2563

prune671.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
3.0ms	(cbrt (* (cbrt y) (cbrt y)))

series869.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt y)
183.0ms	(cbrt y)
245.0ms	(cbrt (cbrt y))
264.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify1.2s

Counts

65 → 65

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	64	368
1	116	354
2	234	302
3	582	290
4	2290	290
done	5000	290

prune310.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes100.0ms

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

sample731.0ms

Algorithm

intervals

Results

226.0ms	8035×	body	80	valid
180.0ms	8157×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid