Details

sample23.0ms

Algorithm

intervals

Results

11.0ms	249×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid

simplify25.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	8	5
2	15	5
3	23	5
4	30	5
5	32	5
done	32	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite36.0ms

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:

33.0ms

(* 200.0 (- x y))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* 200.0 (- x y))

simplify469.0ms

Counts

49 → 49

Iterations

Useful iterations: done (467.0ms)

Iter	Nodes	Cost
0	102	721
1	235	554
2	833	440
done	5001	414

prune63.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (cbrt 200.0) (- x y))
0.5b	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
16×	`pow1` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 120

Calls

2 calls:

26.0ms	(* (cbrt 200.0) (- x y))
63.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

series175.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (cbrt 200.0) (- x y))
94.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

simplify3.1s

Counts

126 → 126

Iterations

Useful iterations: 2 (631.0ms)

Iter	Nodes	Cost
0	192	2929
1	639	2433
2	4084	1635
done	5001	1635

prune160.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (pow (cbrt 200.0) 3)) (* (pow (cbrt 200.0) 3) (- y)))
0.0b	(* x (pow (cbrt 200.0) 3))
0.0b	(* (pow (cbrt 200.0) 3) (- y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
28×	`associate-r`
21×	`associate-l`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`cbrt-prod` `unpow-prod-down` `cube-prod`
13×	`add-exp-log`
12×	`unswap-sqr`
7×	`add-cbrt-cube`
6×	`prod-exp`
5×	`add-log-exp`
4×	`sqr-pow`
3×	`pow1` `distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `log1p-expm1-u`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `unsub-neg` `sum-log` `flip-+`

Counts

3 → 106

Calls

3 calls:

17.0ms	(+ (* x (pow (cbrt 200.0) 3)) (* (pow (cbrt 200.0) 3) (- y)))
18.0ms	(* x (pow (cbrt 200.0) 3))
23.0ms	(* (pow (cbrt 200.0) 3) (- y))

series100.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* x (pow (cbrt 200.0) 3)) (* (pow (cbrt 200.0) 3) (- y)))
18.0ms	(* x (pow (cbrt 200.0) 3))
23.0ms	(* (pow (cbrt 200.0) 3) (- y))

simplify743.0ms

Counts

115 → 115

Iterations

Useful iterations: done (740.0ms)

Iter	Nodes	Cost
0	142	1200
1	375	739
2	1591	686
done	5000	682

prune296.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x (pow (cbrt 200.0) 3) (* (pow (cbrt 200.0) 3) (- y)))
0.0b	(* (pow (cbrt 200.0) 3) (- y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`associate-l`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
8×	`cbrt-prod` `unpow-prod-down` `cube-prod`
7×	`add-exp-log`
6×	`unswap-sqr`
4×	`add-cbrt-cube`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `neg-mul-1` `unpow3` `pow-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `fma-udef`

Counts

2 → 59

Calls

2 calls:

0.0ms	(fma x (pow (cbrt 200.0) 3) (* (pow (cbrt 200.0) 3) (- y)))
33.0ms	(* (pow (cbrt 200.0) 3) (- y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma x (pow (cbrt 200.0) 3) (* (pow (cbrt 200.0) 3) (- y)))
33.0ms	(* (pow (cbrt 200.0) 3) (- y))

simplify2.3s

Counts

65 → 65

Iterations

Useful iterations: 3 (908.0ms)

Iter	Nodes	Cost
0	90	684
1	208	439
2	723	395
3	3936	393
done	5000	393

prune208.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	12	13
2	16	13
3	17	13
done	17	13

end0.0ms

sample598.0ms

Algorithm

intervals

Results

261.0ms	7900×	body	80	valid
6.0ms	49×	body	1280	valid
4.0ms	42×	body	640	valid
3.0ms	24×	body	2560	valid
2.0ms	26×	body	320	valid
0.0ms	9×	body	160	valid