Details

sample33.0ms

Algorithm

intervals

Results

8.0ms	282×	body	80	nan
7.0ms	256×	body	80	valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	51	4
3	65	4
4	97	4
5	120	4
6	159	4
7	257	4
8	322	4
9	322	4
done	322	4

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) y)
0.2b	(* x (log y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

55.0ms	(- (- (* x (log y)) z) y)
9.0ms	(* x (log y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (- (* x (log y)) z) y)
39.0ms	(* x (log y))

simplify135.0ms

Counts

74 → 74

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	302	480
1	1071	361
2	4460	338
3	5001	311
done	5001	311

prune130.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite40.0ms

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:

10.0ms	(* x (log (cbrt y)))
25.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series549.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (log (cbrt y)))
102.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
177.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify54.0ms

Counts

123 → 123

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	384	753
1	1636	640
2	5001	570
done	5001	570

prune388.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
0.2b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
10.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series615.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
91.0ms	(* x (log (cbrt y)))
180.0ms	(cbrt y)
178.0ms	(cbrt y)

simplify76.0ms

Counts

82 → 82

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	168	411
1	610	367
2	2425	343
3	5002	333
done	5002	333

prune243.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (log (pow y 1/3)) 2 (log (cbrt (sqrt y))))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))
5.0b	(pow y 1/3)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `fma-udef` `sqr-pow`

Counts

4 → 62

Calls

4 calls:

0.0ms	(fma (log (pow y 1/3)) 2 (log (cbrt (sqrt y))))
1.0ms	(cbrt (sqrt y))
1.0ms	(cbrt (sqrt y))
3.0ms	(pow y 1/3)

series872.0ms

Counts

4 → 12

Calls

4 calls:

391.0ms	(fma (log (pow y 1/3)) 2 (log (cbrt (sqrt y))))
154.0ms	(cbrt (sqrt y))
144.0ms	(cbrt (sqrt y))
182.0ms	(pow y 1/3)

simplify107.0ms

Counts

74 → 74

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	213	343
1	689	305
2	3317	280
3	5002	238
done	5002	238

prune293.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes94.0ms

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	8	4
1	8	4
done	8	4

end0.0ms

sample849.0ms

Algorithm

intervals

Results

222.0ms	8029×	body	80	valid
171.0ms	8112×	body	80	nan
0.0ms	1×	body	320	valid