Details

sample31.0ms

Algorithm

intervals

Results

20.0ms

362×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	1127
10	442
9	263
8	200
7	171
6	154
5	144
4	137
3	88
2	34
1	13
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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:

31.0ms

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

series122.0ms

Counts

1 → 3

Calls

1 calls:

122.0ms

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

simplify2.6s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
3	3864
2	829
1	229
0	78

prune130.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

20.0ms	(* x (- 3.0 (* 2.0 x)))
37.0ms	(* (* x (- 3.0 (* 2.0 x))) x)

series186.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(* x (- 3.0 (* 2.0 x)))
92.0ms	(* (* x (- 3.0 (* 2.0 x))) x)

simplify1.2s

Counts

62 → 62

Iterations

Iter	Nodes
done	5008
2	842
1	246
0	98

prune189.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`associate-l`
7×	`add-sqr-sqrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`distribute-lft-neg-out` `expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `fma-def` `distribute-rgt-neg-in` `flip3-+` `distribute-rgt-out` `unsub-neg` `flip-+`

Counts

3 → 66

Calls

3 calls:

33.0ms	(+ (* 3.0 (* x x)) (* (- (* x 2.0)) (* x x)))
36.0ms	(* (- (* x 2.0)) (* x x))
15.0ms	(* 3.0 (* x x))

series269.0ms

Counts

3 → 9

Calls

3 calls:

156.0ms	(+ (* 3.0 (* x x)) (* (- (* x 2.0)) (* x x)))
58.0ms	(* (- (* x 2.0)) (* x x))
55.0ms	(* 3.0 (* x x))

simplify1.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1210
1	293
0	95

prune310.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (- (* x 2.0)) (* x x))) (cbrt (* (- (* x 2.0)) (* x x))))
28.3b	(cbrt (* (- (* x 2.0)) (* x x)))
28.3b	(cbrt (* (- (* x 2.0)) (* x x)))
28.3b	(cbrt (* (- (* x 2.0)) (* x x)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

41.0ms	(* (cbrt (* (- (* x 2.0)) (* x x))) (cbrt (* (- (* x 2.0)) (* x x))))
12.0ms	(cbrt (* (- (* x 2.0)) (* x x)))
12.0ms	(cbrt (* (- (* x 2.0)) (* x x)))
12.0ms	(cbrt (* (- (* x 2.0)) (* x x)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (cbrt (* (- (* x 2.0)) (* x x))) (cbrt (* (- (* x 2.0)) (* x x))))
41.0ms	(cbrt (* (- (* x 2.0)) (* x x)))
44.0ms	(cbrt (* (- (* x 2.0)) (* x x)))
43.0ms	(cbrt (* (- (* x 2.0)) (* x x)))

simplify4.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	5002
4	4288
3	1086
2	354
1	142
0	62

prune468.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

950.0ms

11915×

body

valid