Details

sample40.0ms

Algorithm

intervals

Results

22.0ms

484×

body

valid

simplify34.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 2.0) (* x x))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

9.0ms	(+ (* x 2.0) (* x x))
42.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series143.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(+ (* x 2.0) (* x x))
63.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify1.9s

Counts: 31 → 31

prune84.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.1b	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div` `add-log-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `sum-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l+` `associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

34.0ms	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
32.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
33.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
186.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

series265.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
45.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
34.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
37.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

simplify733.0ms

Counts: 110 → 110

prune296.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
0.6b	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.6b	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.6b	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

230.0ms	(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
24.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
24.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
29.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

369.0ms	(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
346.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
326.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
399.0ms	(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

simplify2.1s

Counts: 99 → 99

prune450.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.3b	(* (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) (pow (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) 3))
0.6b	(pow (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) 3)

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

87×	`sqrt-prod`
66×	`add-sqr-sqrt`
28×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-r` `unswap-sqr`
21×	`add-cube-cbrt` `*-un-lft-identity`
14×	`add-log-exp`
10×	`add-exp-log`
9×	`flip3-+` `associate-l` `flip-+`
8×	`pow1` `cube-div`
7×	`add-cbrt-cube`
6×	`sum-log`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `sqrt-pow1`
3×	`pow-unpow` `prod-exp`
2×	`+-commutative` `cube-mult` `pow-to-exp` `associate-+l+` `pow1/2` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 146

Calls

4 calls:

33.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
32.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
248.0ms	(* (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) (pow (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) 3))
49.0ms	(pow (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) 3)

series247.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
44.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
35.0ms	(* (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) (pow (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) 3))
124.0ms	(pow (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) 3)

simplify1.4s

Counts: 158 → 158

prune407.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

-37.8% (0.0b remaining)

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

bsearch0.0ms

simplify24.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

14295×

body

valid