Details

sample83.0ms

Algorithm

intervals

Results

11.0ms

327×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
2	15	5
done	15	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

47.0ms

(* (+ x y) z)

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* (+ x y) z)

simplify522.0ms

Counts

24 → 24

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	45	178
1	111	175
2	499	151
done	5000	151

prune93.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `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 → 95

Calls

4 calls:

57.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
8.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))
9.0ms	(cbrt (+ x y))

series856.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
185.0ms	(cbrt (+ x y))
219.0ms	(cbrt (+ x y))
195.0ms	(cbrt (+ x y))

simplify794.0ms

Counts

107 → 107

Iterations

Useful iterations: done (791.0ms)

Iter	Nodes	Cost
0	116	1266
1	278	1147
2	1068	1089
done	5001	1069

prune428.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.0b	(sqrt (+ x y))
0.1b	(* (sqrt (+ x y)) z)
0.2b	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

7.0ms	(sqrt (+ x y))
7.0ms	(sqrt (+ x y))
37.0ms	(* (sqrt (+ x y)) z)
84.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series279.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sqrt (+ x y))
64.0ms	(sqrt (+ x y))
80.0ms	(* (sqrt (+ x y)) z)
75.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify854.0ms

Counts

99 → 99

Iterations

Useful iterations: done (850.0ms)

Iter	Nodes	Cost
0	129	1179
1	323	1065
2	1312	863
done	5001	833

prune301.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

24.7b	(cbrt (+ (* y (- y x)) (* x x)))
24.7b	(cbrt (+ (* y (- y x)) (* x x)))
35.8b	(cbrt (+ (pow x 3) (pow y 3)))
35.8b	(cbrt (+ (pow x 3) (pow y 3)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
24×	`cbrt-prod`
10×	`distribute-lft-out`
8×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cbrt-div` `cube-prod`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`sum-cubes`

Counts

4 → 64

Calls

4 calls:

19.0ms	(cbrt (+ (* y (- y x)) (* x x)))
21.0ms	(cbrt (+ (* y (- y x)) (* x x)))
45.0ms	(cbrt (+ (pow x 3) (pow y 3)))
20.0ms	(cbrt (+ (pow x 3) (pow y 3)))

series713.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (+ (* y (- y x)) (* x x)))
224.0ms	(cbrt (+ (* y (- y x)) (* x x)))
152.0ms	(cbrt (+ (pow x 3) (pow y 3)))
124.0ms	(cbrt (+ (pow x 3) (pow y 3)))

simplify786.0ms

Counts

76 → 76

Iterations

Useful iterations: done (783.0ms)

Iter	Nodes	Cost
0	98	1150
1	236	1062
2	978	986
done	5000	958

prune525.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes174.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
done	7	5

end0.0ms

sample917.0ms

Algorithm

intervals

Results

379.0ms

10113×

body

valid