Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

362×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	1138
10	457
9	235
8	169
7	141
6	124
5	116
4	109
3	80
2	34
1	13
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

32.0ms

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

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

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

simplify2.1s

Counts

29 → 29

Iterations

Iter	Nodes
done	5005
3	2999
2	625
1	171
0	58

prune84.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

19.0ms	(* x (- 3.0 (* x 2.0)))
32.0ms	(* x (* x (- 3.0 (* x 2.0))))

series215.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(* x (- 3.0 (* x 2.0)))
113.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify3.1s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
3	4895
2	854
1	231
0	81

prune159.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite47.0ms

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` `insert-posit16`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `distribute-rgt-neg-in` `flip3-+` `distribute-rgt-out` `unsub-neg` `flip-+`

Counts

3 → 59

Calls

3 calls:

16.0ms	(+ (* 3.0 (* x x)) (* (- (* x 2.0)) (* x x)))
18.0ms	(* (- (* x 2.0)) (* x x))
13.0ms	(* 3.0 (* x x))

series189.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ (* 3.0 (* x x)) (* (- (* x 2.0)) (* x x)))
42.0ms	(* (- (* x 2.0)) (* x x))
31.0ms	(* 3.0 (* x x))

simplify1.3s

Counts

68 → 68

Iterations

Iter	Nodes
done	5003
2	1007
1	265
0	89

prune208.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite95.0ms

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×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `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 → 62

Calls

4 calls:

46.0ms	(* (cbrt (* (- (* x 2.0)) (* x x))) (cbrt (* (- (* x 2.0)) (* x x))))
15.0ms	(cbrt (* (- (* x 2.0)) (* x x)))
19.0ms	(cbrt (* (- (* x 2.0)) (* x x)))
15.0ms	(cbrt (* (- (* x 2.0)) (* x x)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (cbrt (* (- (* x 2.0)) (* x x))) (cbrt (* (- (* x 2.0)) (* x x))))
55.0ms	(cbrt (* (- (* x 2.0)) (* x x)))
56.0ms	(cbrt (* (- (* x 2.0)) (* x x)))
61.0ms	(cbrt (* (- (* x 2.0)) (* x x)))

simplify4.6s

Counts

74 → 74

Iterations

Iter	Nodes
done	5004
4	4573
3	1136
2	359
1	138
0	58

prune326.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes39.0ms

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

sample907.0ms

Algorithm

intervals

Results

732.0ms

11915×

body

valid