Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	252×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid

simplify33.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite28.0ms

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:

26.0ms

(* 200.0 (- x y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* 200.0 (- x y))

simplify1.6s

Counts

49 → 49

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	102	721
1	192	548
2	415	438
3	1732	396
done	5001	342

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (cbrt 200.0) (- x y))
0.4b	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

rewrite134.0ms

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:

35.0ms	(* (cbrt 200.0) (- x y))
89.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

series189.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* (cbrt 200.0) (- x y))
111.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

simplify4.1s

Counts

126 → 126

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	192	2929
1	482	2415
2	1213	1605
3	4897	1131
done	5000	1131

prune134.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

51.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
4.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))

series825.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
180.0ms	(cbrt (- x y))
237.0ms	(cbrt (- x y))
190.0ms	(cbrt (- x y))

simplify2.9s

Counts

121 → 121

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	135	1434
1	271	1320
2	648	1262
3	1427	1156
4	3890	1116
done	5000	1112

prune460.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (pow x 3) (pow y 3))
2.0b	(+ (* x x) (+ (* y y) (* x y)))
2.9b	(+ (* y y) (* x y))
41.5b	(/ (* 200.0 (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
105×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
87×	`unpow-prod-down` `cube-prod`
81×	`add-cube-cbrt`
33×	`sqr-pow`
25×	`cube-mult` `unpow3`
16×	`difference-of-squares`
13×	`add-log-exp`
12×	`fma-neg`
9×	`add-exp-log` `add-cbrt-cube`
5×	`distribute-lft-out--`
4×	`pow1` `expm1-log1p-u` `sum-log` `log1p-expm1-u`
3×	`flip3-+` `times-frac` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `+-commutative` `flip3--` `fma-def` `associate-*r/` `div-exp` `associate-/r/` `flip--` `associate-/l/`
1×	`difference-cubes` `sub-neg` `associate-+r+` `distribute-rgt-out` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 250

Calls

4 calls:

43.0ms	(- (pow x 3) (pow y 3))
21.0ms	(+ (* x x) (+ (* y y) (* x y)))
16.0ms	(+ (* y y) (* x y))
190.0ms	(/ (* 200.0 (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

series313.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (pow x 3) (pow y 3))
34.0ms	(+ (* x x) (+ (* y y) (* x y)))
54.0ms	(+ (* y y) (* x y))
138.0ms	(/ (* 200.0 (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

simplify1.8s

Counts

262 → 262

Iterations

Useful iterations: 2 (582.0ms)

Iter	Nodes	Cost
0	286	7219
1	714	4093
2	2556	3127
done	5001	3127

prune411.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample404.0ms

Algorithm

intervals

Results

148.0ms	7917×	body	80	valid
6.0ms	35×	body	640	valid
4.0ms	59×	body	1280	valid
2.0ms	23×	body	2560	valid
1.0ms	22×	body	320	valid
0.0ms	7×	body	160	valid