Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

372×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	35	9
3	88	9
4	140	9
5	147	9
6	164	9
7	211	9
8	355	9
9	829	9
10	2619	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
4×	`add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

61.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series124.0ms

Counts

1 → 3

Calls

1 calls:

124.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify3.8s

Counts

36 → 36

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	77	533
1	207	518
2	681	442
3	2676	421
done	5002	397

prune107.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
0.0b	(* 2.0 (pow x 3))
0.2b	(* (* x 3.0) x)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `associate-r`
13×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-log-exp`
6×	`prod-exp`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 71

Calls

3 calls:

27.0ms	(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
13.0ms	(* 2.0 (pow x 3))
23.0ms	(* (* x 3.0) x)

series264.0ms

Counts

3 → 9

Calls

3 calls:

172.0ms	(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
50.0ms	(* 2.0 (pow x 3))
42.0ms	(* (* x 3.0) x)

simplify2.0s

Counts

80 → 80

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	113	760
1	289	673
2	1065	609
done	5000	573

prune232.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
17.7b	(sqrt (* (* x 3.0) x))
17.7b	(sqrt (* (* x 3.0) x))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

19.0ms	(* (* x 3.0) x)
147.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
41.0ms	(sqrt (* (* x 3.0) x))
29.0ms	(sqrt (* (* x 3.0) x))

series255.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x 3.0) x)
113.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
55.0ms	(sqrt (* (* x 3.0) x))
49.0ms	(sqrt (* (* x 3.0) x))

simplify4.1s

Counts

128 → 128

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	88	1171
1	175	809
2	567	696
3	2088	617
done	5000	607

prune363.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (fabs (* x (sqrt 3.0)))) 3) (sqrt (sqrt (* (* x 3.0) x))))
0.4b	(* x (sqrt 3.0))
0.6b	(pow (sqrt (fabs (* x (sqrt 3.0)))) 3)
17.7b	(sqrt (* (* x 3.0) x))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
32×	`sqrt-prod`
21×	`associate-l`
19×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unpow-prod-down` `cube-prod`
14×	`pow1` `unswap-sqr`
13×	`associate-r`
12×	`add-exp-log`
9×	`add-cbrt-cube`
4×	`expm1-log1p-u` `sqrt-pow1` `pow-prod-down` `prod-exp` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-pow`
2×	`cube-mult` `pow-to-exp` `pow1/2` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 123

Calls

4 calls:

104.0ms	(* (pow (sqrt (fabs (* x (sqrt 3.0)))) 3) (sqrt (sqrt (* (* x 3.0) x))))
21.0ms	(* x (sqrt 3.0))
8.0ms	(pow (sqrt (fabs (* x (sqrt 3.0)))) 3)
30.0ms	(sqrt (* (* x 3.0) x))

series383.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (pow (sqrt (fabs (* x (sqrt 3.0)))) 3) (sqrt (sqrt (* (* x 3.0) x))))
63.0ms	(* x (sqrt 3.0))
115.0ms	(pow (sqrt (fabs (* x (sqrt 3.0)))) 3)
75.0ms	(sqrt (* (* x 3.0) x))

simplify1.5s

Counts

135 → 135

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	171	2064
1	393	1824
2	1325	1771
done	5000	1248

prune507.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	18	12
2	20	12
done	20	12

end0.0ms

sample794.0ms

Algorithm

intervals

Results

541.0ms

11923×

body

valid