Details

sample30.0ms

Algorithm

intervals

Results

17.0ms

347×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

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

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

20.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
16.0ms	(- (* x 3.0) 4.0)
42.0ms	(* x (- (* x 3.0) 4.0))
18.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series265.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
48.0ms	(- (* x 3.0) 4.0)
120.0ms	(* x (- (* x 3.0) 4.0))
54.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify2.5s

Counts

85 → 85

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	119	1014
1	296	982
2	853	884
3	3608	876
done	5000	876

prune262.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

35.0ms

(* x (- (* x 9.0) 12.0))

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(* x (- (* x 9.0) 12.0))

simplify3.6s

Counts

27 → 27

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	52	273
1	118	270
2	305	236
3	998	236
4	4182	236
done	5000	236

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (+ (* 3.0 (pow x 2)) (* (- 4.0) x)))
0.0b	(+ (* 3.0 (pow x 2)) (* (- 4.0) x))
0.1b	(* 3.0 (+ 1.0 (+ (* 3.0 (pow x 2)) (* (- 4.0) x))))
0.2b	(* 3.0 (pow x 2))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`associate-r`
11×	`add-exp-log` `add-log-exp`
9×	`add-cube-cbrt`
8×	`add-cbrt-cube`
6×	`pow1` `associate-l`
5×	`unswap-sqr`
4×	`distribute-lft-neg-out` `unpow-prod-down` `prod-exp` `sum-log`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+r-` `associate-r/` `unsub-neg` `-commutative` `cbrt-unprod` `distribute-lft-out` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `associate-+r+` `distribute-lft-in` `pow-prod-down` `pow-exp`

Counts

4 → 79

Calls

4 calls:

21.0ms	(+ 1.0 (+ (* 3.0 (pow x 2)) (* (- 4.0) x)))
19.0ms	(+ (* 3.0 (pow x 2)) (* (- 4.0) x))
66.0ms	(* 3.0 (+ 1.0 (+ (* 3.0 (pow x 2)) (* (- 4.0) x))))
13.0ms	(* 3.0 (pow x 2))

series220.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 1.0 (+ (* 3.0 (pow x 2)) (* (- 4.0) x)))
99.0ms	(+ (* 3.0 (pow x 2)) (* (- 4.0) x))
40.0ms	(* 3.0 (+ 1.0 (+ (* 3.0 (pow x 2)) (* (- 4.0) x))))
44.0ms	(* 3.0 (pow x 2))

simplify1.1s

Counts

91 → 91

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	127	1232
1	347	1094
2	1224	990
done	5000	866

prune297.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

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

rewrite211.0ms

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:

23.0ms	(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
54.0ms	(* x (- (* x 3.0) 4.0))
32.0ms	(* x (- (* x 3.0) 4.0))
94.0ms	(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

series395.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
90.0ms	(* x (- (* x 3.0) 4.0))
99.0ms	(* x (- (* x 3.0) 4.0))
64.0ms	(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

simplify3.4s

Counts

113 → 113

Iterations

Useful iterations: 3 (1.7s)

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

prune405.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes13.0ms

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

sample1.4s

Algorithm

intervals

Results

1.1s

10765×

body

valid