Details

sample34.0ms

Algorithm

intervals

Results

24.0ms

462×

body

valid

simplify25.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	45
5	45
4	42
3	35
2	23
1	13
0	7

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* y y)) (* x x))
0.2b	(* 3 (* y y))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`associate-r`
16×	`*-un-lft-identity`
10×	`associate-l`
8×	`add-cube-cbrt`
7×	`pow1` `add-cbrt-cube` `add-exp-log` `unswap-sqr`
4×	`swap-sqr` `distribute-lft-out` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
2×	`insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

2 → 54

Calls

2 calls:

137.0ms	(+ (* 3 (* y y)) (* x x))
33.0ms	(* 3 (* y y))

series117.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* 3 (* y y)) (* x x))
52.0ms	(* 3 (* y y))

simplify2.1s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
3	2820
2	839
1	263
0	85

prune225.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 y) y) (* x x))
0.2b	(* (* 3 y) y)

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-l`
18×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-r` `add-cube-cbrt` `distribute-lft-out`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

2 → 50

Calls

2 calls:

125.0ms	(+ (* (* 3 y) y) (* x x))
61.0ms	(* (* 3 y) y)

series79.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* (* 3 y) y) (* x x))
29.0ms	(* (* 3 y) y)

simplify2.6s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	2907
2	674
1	213
0	77

prune212.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.0b	(+ (* x x) (* y y))
0.2b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
86×	`distribute-lft-out`
54×	`associate-l`
19×	`add-log-exp`
10×	`sum-log`
9×	`swap-sqr`
8×	`associate-+l+`
6×	`+-commutative`
3×	`add-sqr-sqrt` `pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

3 → 84

Calls

3 calls:

287.0ms	(+ (+ (* x x) (* y y)) (* y y))
57.0ms	(+ (* x x) (* y y))
1.3s	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series147.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (+ (* x x) (* y y)) (* y y))
34.0ms	(+ (* x x) (* y y))
53.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5003
2	937
1	232
0	74

prune145.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))
0.2b	(* (* (cbrt 3) y) y)
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))
0.3b	(* (cbrt 3) y)

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

196×	`add-sqr-sqrt`
117×	`unswap-sqr`
93×	`associate-l`
74×	`add-cbrt-cube`
68×	`cbrt-unprod`
63×	`cbrt-prod`
48×	`associate-r`
43×	`*-un-lft-identity`
32×	`pow1` `add-exp-log`
27×	`add-cube-cbrt`
19×	`pow-prod-down` `prod-exp`
16×	`swap-sqr`
11×	`*-commutative`
7×	`distribute-lft-out`
6×	`add-log-exp`
4×	`insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 212

Calls

4 calls:

864.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))
41.0ms	(* (* (cbrt 3) y) y)
236.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))
8.0ms	(* (cbrt 3) y)

series351.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))
56.0ms	(* (* (cbrt 3) y) y)
145.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))
57.0ms	(* (cbrt 3) y)

simplify2.8s

Counts

224 → 224

Iterations

Iter	Nodes
done	5004
2	3206
1	752
0	209

prune646.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

14126×

body

valid