Details

sample76.0ms

Algorithm

intervals

Results

32.0ms	928×	body	80	nan
10.0ms	257×	body	80	valid

simplify831.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (55.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	122	11
4	229	10
5	296	10
6	406	10
7	583	10
8	654	10
9	660	10
done	660	10

prune6.0ms

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)) y) z) (log t))
0.0b	(- (* x (log y)) y)
0.2b	(* x (log y))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`associate-+l+`
21×	`add-cube-cbrt` `log-prod`
15×	`prod-diff`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`add-exp-log` `fma-def` `add-cbrt-cube`
4×	`diff-log` `associate-r` `distribute-lft-out`
3×	`expm1-log1p-u` `sub-neg` `associate-+r+` `associate-l` `sum-log` `log-pow` `log1p-expm1-u` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `fma-neg` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

3 → 101

Calls

3 calls:

81.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series146.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (- (- (* x (log y)) y) z) (log t))
61.0ms	(- (* x (log y)) y)
41.0ms	(* x (log y))

simplify1.8s

Counts

110 → 110

Iterations

Useful iterations: 3 (823.0ms)

Iter	Nodes	Cost
0	188	1155
1	420	1044
2	996	899
3	3437	858
done	5001	858

prune316.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)

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

series569.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* x (log (cbrt y)))
105.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
182.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify3.3s

Counts

123 → 123

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	163	1298
1	347	1057
2	983	949
3	4564	853
done	5000	839

prune502.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

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))))
5.0ms	(* x (log (cbrt y)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series658.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
99.0ms	(* x (log (cbrt y)))
187.0ms	(cbrt y)
192.0ms	(cbrt y)

simplify3.2s

Counts

82 → 82

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	102	667
1	170	644
2	372	561
3	1089	512
4	4295	476
done	5000	473

prune488.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma 2 (log (cbrt t)) (fma (log y) x (- (- y) z))) (log (cbrt t)))
0.1b	(fma (log y) x (- (- y) z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-+r+` `log-prod`
5×	`pow1` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def`
2×	`pow1/3` `fma-udef` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `log-pow` `flip-+`

Counts

4 → 61

Calls

4 calls:

6.0ms	(+ (fma 2 (log (cbrt t)) (fma (log y) x (- (- y) z))) (log (cbrt t)))
0.0ms	(fma (log y) x (- (- y) z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series567.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(+ (fma 2 (log (cbrt t)) (fma (log y) x (- (- y) z))) (log (cbrt t)))
40.0ms	(fma (log y) x (- (- y) z))
179.0ms	(cbrt t)
186.0ms	(cbrt t)

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	101	844
1	211	823
2	533	751
3	2454	656
done	5001	643

prune305.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	17	19
done	17	19

end0.0ms

sample2.0s

Algorithm

intervals

Results

821.0ms	24616×	body	80	nan
338.0ms	8032×	body	80	valid
0.0ms	1×	body	320	valid