Details

sample147.0ms

Algorithm

intervals

Results

80.0ms	849×	body	80	nan
27.0ms	257×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
13	4983
12	4501
11	4083
10	3523
9	2883
8	2214
7	1553
6	1117
5	645
4	320
3	122
2	51
1	21
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`associate-+l+`
21×	`log-prod` `add-cube-cbrt`
15×	`prod-diff`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`fma-def` `add-cbrt-cube` `add-exp-log`
4×	`diff-log` `associate-r` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-+r+` `sum-log` `sub-neg` `associate-l` `log-pow` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `flip3--` `fma-neg` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `flip--` `difference-of-squares` `unswap-sqr`

Counts

3 → 104

Calls

3 calls:

8.0ms	(- (* x (log y)) y)
196.0ms	(+ (- (- (* x (log y)) y) z) (log t))
18.0ms	(* x (log y))

series184.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (* x (log y)) y)
59.0ms	(+ (- (- (* x (log y)) y) z) (log t))
48.0ms	(* x (log y))

simplify2.0s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1276
1	481
0	191

prune618.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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` `insert-posit16` `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 → 85

Calls

4 calls:

15.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (cbrt y) (cbrt y))
240.0ms	(cbrt y)
278.0ms	(cbrt y)
284.0ms	(cbrt y)

simplify3.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	4657
3	1110
2	364
1	141
0	67

prune678.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
4.9b	(pow y 1/3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

8.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series969.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt y) (cbrt y))
208.0ms	(cbrt y)
247.0ms	(cbrt y)
271.0ms	(pow y 1/3)

simplify2.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
4	4317
3	1426
2	579
1	254
0	98

prune525.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow (pow y (sqrt 1/3)) (sqrt 1/3))
5.8b	(pow y (sqrt 1/3))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
12×	`pow-unpow`
7×	`add-exp-log`
6×	`cbrt-prod` `sqrt-prod`
5×	`pow1` `pow-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `sqr-pow`
2×	`pow-pow` `pow1/3`

Counts

4 → 80

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(pow (pow y (sqrt 1/3)) (sqrt 1/3))
2.0ms	(pow y (sqrt 1/3))

series1.3s

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt y)
284.0ms	(cbrt y)
527.0ms	(pow (pow y (sqrt 1/3)) (sqrt 1/3))
249.0ms	(pow y (sqrt 1/3))

simplify1.4s

Counts

92 → 92

Iterations

Iter	Nodes
done	5004
3	2135
2	707
1	283
0	106

prune682.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes637.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.1s	24119×	body	80	nan
924.0ms	8023×	body	80	valid