Details

sample52.0ms

Algorithm

intervals

Results

11.0ms	202×	body	80	valid
8.0ms	34×	body	1280	valid
5.0ms	28×	body	640	valid
3.0ms	20×	body	320	valid
3.0ms	10×	body	2560	valid
2.0ms	17×	body	160	valid

simplify13.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (417.0ms)

Iter	Nodes	Cost
0	9	15
1	23	13
2	77	8
3	258	7
4	1832	5
done	5000	5

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

32.0ms

(* y (- x z))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* y (- x z))

simplify506.0ms

Counts

49 → 49

Iterations

Useful iterations: done (505.0ms)

Iter	Nodes	Cost
0	102	721
1	235	554
2	832	440
done	5001	414

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* y x) (* y (- z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

17.0ms

(+ (* y x) (* y (- z)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(+ (* y x) (* y (- z)))

simplify3.4s

Counts

20 → 20

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	34	206
1	115	146
2	588	133
3	3830	129
done	5000	128

prune77.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- x z))
0.3b	(pow (* y (- x z)) 3)
32.8b	(cbrt (pow (* y (- x z)) 3))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-r`
4×	`cube-div`
3×	`expm1-log1p-u` `pow-unpow` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 93

Calls

3 calls:

39.0ms	(* y (- x z))
10.0ms	(pow (* y (- x z)) 3)
7.0ms	(cbrt (pow (* y (- x z)) 3))

series225.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* y (- x z))
76.0ms	(pow (* y (- x z)) 3)
91.0ms	(cbrt (pow (* y (- x z)) 3))

simplify1.7s

Counts

102 → 102

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	170	1343
1	447	1036
2	2235	898
done	5000	874

prune243.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	16	8
3	17	8
done	17	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

978.0ms	7004×	body	80	valid
322.0ms	949×	body	1280	valid
316.0ms	826×	body	640	valid
151.0ms	206×	body	2560	valid
104.0ms	534×	body	160	valid
97.0ms	551×	body	320	valid