Details

sample30.0ms

Algorithm

intervals

Results

16.0ms

350×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	10	13
1	26	13
2	55	11
3	121	11
4	182	11
5	210	11
6	236	11
7	285	11
8	383	11
9	485	11
10	553	11
11	570	11
done	570	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

16.0ms	(- (* x 3.0) 4.0)
44.0ms	(* x (- (* x 3.0) 4.0))
22.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series205.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (* x 3.0) 4.0)
88.0ms	(* x (- (* x 3.0) 4.0))
59.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify2.1s

Counts

67 → 67

Iterations

Useful iterations: 3 (964.0ms)

Iter	Nodes	Cost
0	108	772
1	267	749
2	785	675
3	3085	667
done	5000	667

prune183.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (- (* x 9.0) 12.0)) 3.0)
0.1b	(* x (- (* x 9.0) 12.0))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

35.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
51.0ms	(* x (- (* x 9.0) 12.0))

series119.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
82.0ms	(* x (- (* x 9.0) 12.0))

simplify1.4s

Counts

45 → 45

Iterations

Useful iterations: 3 (514.0ms)

Iter	Nodes	Cost
0	76	511
1	187	491
2	476	443
3	1732	437
done	5001	437

prune126.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
0.2b	(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log`
15×	`add-sqr-sqrt`
13×	`add-cbrt-cube`
10×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-*r/`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
6×	`add-log-exp`
4×	`cbrt-prod`
3×	`sub-neg` `*-commutative` `unswap-sqr`
2×	`flip3--` `flip3-+` `flip--` `flip-+`
1×	`diff-log`

Counts

4 → 90

Calls

4 calls:

16.0ms	(- (* x 3.0) 4.0)
58.0ms	(* x (- (* x 3.0) 4.0))
77.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
28.0ms	(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* x 3.0) 4.0)
94.0ms	(* x (- (* x 3.0) 4.0))
112.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
78.0ms	(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify1.7s

Counts

102 → 102

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	151	1625
1	411	1594
2	1461	1266
done	5000	1134

prune290.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.0b	(+ (* 3.0 1.0) (* (* x 3.0) (- (* x 3.0) 4.0)))
0.2b	(* (* x 3.0) (- (* x 3.0) 4.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

8.0ms	(- (* x 3.0) 4.0)
15.0ms	(+ (* 3.0 1.0) (* (* x 3.0) (- (* x 3.0) 4.0)))
55.0ms	(* (* x 3.0) (- (* x 3.0) 4.0))

series251.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- (* x 3.0) 4.0)
43.0ms	(+ (* 3.0 1.0) (* (* x 3.0) (- (* x 3.0) 4.0)))
133.0ms	(* (* x 3.0) (- (* x 3.0) 4.0))

simplify4.5s

Counts

60 → 60

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	91	803
1	251	760
2	939	685
3	4410	645
done	5000	645

prune115.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample856.0ms

Algorithm

intervals

Results

613.0ms

10727×

body

valid