Details

sample52.0ms

Algorithm

intervals

Results

33.0ms

337×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

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))))

rewrite81.0ms

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:

10.0ms	(- (* x 3.0) 4.0)
48.0ms	(* x (- (* x 3.0) 4.0))
20.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series185.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* x 3.0) 4.0)
79.0ms	(* x (- (* x 3.0) 4.0))
48.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify2.0s

Counts

67 → 67

Iterations

Useful iterations: 3 (1.1s)

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

prune155.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

8.0ms	(- (* x 9.0) 12.0)
38.0ms	(* x (- (* x 9.0) 12.0))

series125.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (* x 9.0) 12.0)
82.0ms	(* x (- (* x 9.0) 12.0))

simplify3.2s

Counts

42 → 42

Iterations

Useful iterations: 3 (273.0ms)

Iter	Nodes	Cost
0	62	401
1	137	395
2	340	351
3	1028	349
4	4094	349
done	5001	349

prune79.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

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	(* (* x (- (* x 3.0) 4.0)) 3.0)

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

14.0ms	(- (* x 3.0) 4.0)
37.0ms	(* x (- (* x 3.0) 4.0))
76.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)

series266.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* x 3.0) 4.0)
94.0ms	(* x (- (* x 3.0) 4.0))
130.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)

simplify2.3s

Counts

65 → 65

Iterations

Useful iterations: 3 (965.0ms)

Iter	Nodes	Cost
0	91	694
1	212	683
2	645	585
3	2617	576
done	5000	576

prune123.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`sqrt-div` `associate-*r/`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
7×	`flip3-+` `sqrt-prod` `flip-+`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`flip3--` `associate-*l/` `flip--`

Counts

4 → 101

Calls

4 calls:

26.0ms	(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
39.0ms	(* x (- (* x 3.0) 4.0))
32.0ms	(* x (- (* x 3.0) 4.0))
43.0ms	(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

series419.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
102.0ms	(* x (- (* x 3.0) 4.0))
101.0ms	(* x (- (* x 3.0) 4.0))
50.0ms	(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

simplify2.7s

Counts

113 → 113

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	167	2164
1	421	1768
2	1178	1568
3	4114	1555
done	5000	1555

prune361.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

10623×

body

valid