Details

sample66.0ms

Algorithm

intervals

Results

23.0ms	258×	body	80	valid
13.0ms	258×	body	80	nan

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	193
1	15	193
2	29	193
3	51	193
4	96	193
5	213	193
6	469	193
7	1296	193
done	5001	193

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite114.0ms

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-cbrt-cube` `add-exp-log`
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:

14.0ms	(- (* x (log y)) z)
83.0ms	(- (- (* x (log y)) z) y)
13.0ms	(* x (log y))

series201.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(- (* x (log y)) z)
54.0ms	(- (- (* x (log y)) z) y)
66.0ms	(* x (log y))

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	171	26975
1	427	24359
2	1472	21774
done	5002	21245

prune549.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite365.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-+r+`
14×	`pow1`
13×	`add-log-exp`
12×	`associate-l` `prod-diff`
9×	`add-exp-log` `log-pow`
8×	`add-cbrt-cube`
6×	`log-prod` `associate-r`
5×	`associate--l+`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sum-log` `sqrt-pow1` `pow1/2` `diff-log` `sqrt-prod`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `fma-def` `flip3-+` `rem-log-exp` `flip-+`

Counts

4 → 98

Calls

4 calls:

2.0ms	(log (sqrt y))
337.0ms	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) y))
10.0ms	(* (log (sqrt y)) x)
13.0ms	(* (log (sqrt y)) x)

series505.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(log (sqrt y))
84.0ms	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) y))
154.0ms	(* (log (sqrt y)) x)
170.0ms	(* (log (sqrt y)) x)

simplify1.6s

Counts

110 → 110

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	173	32570
1	446	28755
2	1539	26877
done	5001	26660

prune633.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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×	`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:

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:

255.0ms	(* (cbrt y) (cbrt y))
252.0ms	(cbrt y)
266.0ms	(cbrt y)
266.0ms	(cbrt y)

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	65	18502
1	142	15989
2	725	15714
done	5001	15034

prune563.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (log (sqrt y)) x)) (cbrt (* (log (sqrt y)) x)))
0.6b	(cbrt (* (log (sqrt y)) x))
0.6b	(cbrt (* (log (sqrt y)) x))
0.6b	(cbrt (* (log (sqrt y)) x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

15.0ms	(* (cbrt (* (log (sqrt y)) x)) (cbrt (* (log (sqrt y)) x)))
4.0ms	(cbrt (* (log (sqrt y)) x))
4.0ms	(cbrt (* (log (sqrt y)) x))
5.0ms	(cbrt (* (log (sqrt y)) x))

series1.9s

Counts

4 → 12

Calls

4 calls:

564.0ms	(* (cbrt (* (log (sqrt y)) x)) (cbrt (* (log (sqrt y)) x)))
426.0ms	(cbrt (* (log (sqrt y)) x))
460.0ms	(cbrt (* (log (sqrt y)) x))
453.0ms	(cbrt (* (log (sqrt y)) x))

simplify4.2s

Counts

78 → 78

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	231	42347
1	663	35166
2	2952	33841
done	5002	32434

prune632.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes211.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	273
1	11	273
done	11	273

end0.0ms

sample1.4s

Algorithm

intervals

Results

467.0ms	8021×	body	80	valid
398.0ms	7787×	body	80	nan
1.0ms	2×	body	1280	valid
1.0ms	1×	body	2560	valid