Details

sample32.0ms

Algorithm

intervals

Results

22.0ms

371×

body

valid

simplify905.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2023
11	1127
10	442
9	263
8	200
7	171
6	154
5	144
4	137
3	88
2	34
1	13
0	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `prod-diff` `add-exp-log`
5×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 34

Calls

1 calls:

24.0ms

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

series118.0ms

Counts

1 → 3

Calls

1 calls:

117.0ms

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

simplify677.0ms

Counts

37 → 37

Iterations

Iter	Nodes
done	2001
2	829
1	229
0	78

prune133.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.1b	(* x (* x (- 3.0 (* x 2.0))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`distribute-rgt-in` `distribute-lft-in`
18×	`prod-diff`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`sub-neg` `associate-l` `associate-*r/`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 76

Calls

2 calls:

18.0ms	(* x (- 3.0 (* x 2.0)))
30.0ms	(* x (* x (- 3.0 (* x 2.0))))

series241.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(* x (- 3.0 (* x 2.0)))
127.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify685.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	2002
2	1011
1	310
0	119

prune184.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3.0 (* x x)) (* (* 2.0 x) (* x x)))
0.1b	(* (* 2.0 x) (* x x))
0.2b	(* 3.0 (* x x))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-log-exp`
4×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `prod-diff` `flip--` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

21.0ms	(- (* 3.0 (* x x)) (* (* 2.0 x) (* x x)))
37.0ms	(* (* 2.0 x) (* x x))
13.0ms	(* 3.0 (* x x))

series277.0ms

Counts

3 → 9

Calls

3 calls:

169.0ms	(- (* 3.0 (* x x)) (* (* 2.0 x) (* x x)))
70.0ms	(* (* 2.0 x) (* x x))
37.0ms	(* 3.0 (* x x))

simplify629.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	2003
2	1007
1	276
0	99

prune247.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 3.0 (* x 2.0)))
0.2b	(cbrt (- 3.0 (* x 2.0)))
0.2b	(cbrt (- 3.0 (* x 2.0)))
0.3b	(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

4.0ms	(cbrt (- 3.0 (* x 2.0)))
2.0ms	(cbrt (- 3.0 (* x 2.0)))
2.0ms	(cbrt (- 3.0 (* x 2.0)))
124.0ms	(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

series640.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (- 3.0 (* x 2.0)))
179.0ms	(cbrt (- 3.0 (* x 2.0)))
179.0ms	(cbrt (- 3.0 (* x 2.0)))
99.0ms	(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

simplify1.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	2002
2	1526
1	507
0	192

prune473.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

859.0ms

11903×

body

valid