Details

sample79.0ms

Algorithm

intervals

Results

27.0ms	797×	body	80	nan
10.0ms	256×	body	80	valid

simplify728.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (60.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	126	11
4	223	10
5	297	10
6	414	10
7	504	10
8	587	10
9	594	10
done	594	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite206.0ms

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:

182.0ms	(+ (- (- (* x (log y)) y) z) (log t))
10.0ms	(- (* x (log y)) y)
9.0ms	(* x (log y))

series150.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (- (- (* x (log y)) y) z) (log t))
56.0ms	(- (* x (log y)) y)
43.0ms	(* x (log y))

simplify2.0s

Counts

110 → 110

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	188	1155
1	422	1044
2	980	899
3	3473	858
done	5000	854

prune320.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

9.0ms	(* (log (cbrt y)) x)
28.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series585.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (log (cbrt y)) x)
103.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
180.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify1.8s

Counts

98 → 98

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	132	968
1	321	855
2	1006	698
done	5000	596

prune385.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (* (cbrt y) (cbrt y)))
0.7b	(cbrt (cbrt y))

rewrite12.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(cbrt (* (cbrt y) (cbrt y)))
4.0ms	(cbrt (cbrt y))

series896.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt y)
183.0ms	(cbrt y)
274.0ms	(cbrt (* (cbrt y) (cbrt y)))
246.0ms	(cbrt (cbrt y))

simplify877.0ms

Counts

65 → 65

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	64	368
1	116	354
2	228	302
3	499	290
4	1700	290
done	5000	290

prune357.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

0.0ms	(fma x (* 2 (log (cbrt y))) (* (log (cbrt y)) x))
9.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series672.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(fma x (* 2 (log (cbrt y))) (* (log (cbrt y)) x))
121.0ms	(* (log (cbrt y)) x)
183.0ms	(cbrt y)
189.0ms	(cbrt y)

simplify1000.0ms

Counts

70 → 70

Iterations

Useful iterations: done (998.0ms)

Iter	Nodes	Cost
0	81	522
1	147	503
2	425	418
3	1459	353
done	5000	350

prune257.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes233.0ms

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	10	11
1	12	11
done	12	11

end0.0ms

sample2.3s

Algorithm

intervals

Results

782.0ms	24119×	body	80	nan
331.0ms	8026×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid