Details

sample185.0ms

Algorithm

intervals

Results

99.0ms

481×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	616	29
4	1722	29
done	5000	29

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* x 18.0) y)
0.7b	(* (* j 27.0) k)
2.5b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)

rewrite453.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
24.0ms	(* (* j 27.0) k)
332.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
74.0ms	(* (* (* x 18.0) y) z)

series283.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* x 18.0) y)
24.0ms	(* (* j 27.0) k)
174.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
46.0ms	(* (* (* x 18.0) y) z)

simplify2.5s

Counts

93 → 93

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	158	1015
1	424	980
2	2822	828
done	5002	822

prune603.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 27.0 (* k j))
0.5b	(* (* x 18.0) y)
2.5b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

17.0ms	(* 27.0 (* k j))
33.0ms	(* (* x 18.0) y)
332.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
101.0ms	(* (* (* x 18.0) y) z)

series290.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 27.0 (* k j))
33.0ms	(* (* x 18.0) y)
180.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
50.0ms	(* (* (* x 18.0) y) z)

simplify2.1s

Counts

93 → 93

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	154	1012
1	408	979
2	2541	835
done	5000	821

prune711.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.5b

localize75.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* (* x 18.0) y) z)
13.7b	(cbrt (* (* (* x 18.0) y) z))
13.7b	(cbrt (* (* (* x 18.0) y) z))
13.7b	(cbrt (* (* (* x 18.0) y) z))

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 48

Calls

4 calls:

114.0ms	(* (* (* x 18.0) y) z)
80.0ms	(cbrt (* (* (* x 18.0) y) z))
78.0ms	(cbrt (* (* (* x 18.0) y) z))
72.0ms	(cbrt (* (* (* x 18.0) y) z))

series576.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* (* x 18.0) y) z)
167.0ms	(cbrt (* (* (* x 18.0) y) z))
168.0ms	(cbrt (* (* (* x 18.0) y) z))
188.0ms	(cbrt (* (* (* x 18.0) y) z))

simplify1.1s

Counts

60 → 60

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	96	700
1	244	683
2	1274	573
done	5001	561

prune704.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.5b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* x 18.0) y)
0.5b	(* j (* 27.0 k))
2.5b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

36.0ms	(* (* x 18.0) y)
25.0ms	(* j (* 27.0 k))
320.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
89.0ms	(* (* (* x 18.0) y) z)

series331.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x 18.0) y)
24.0ms	(* j (* 27.0 k))
220.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
51.0ms	(* (* (* x 18.0) y) z)

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	156	1012
1	412	979
2	2491	835
done	5000	821

prune460.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.5b

regimes1.5s

Accuracy

47.9% (2.0b remaining)

Error of 4.1b against oracle of 2.1b and baseline of 5.9b

bsearch222.0ms

Steps

Iters	Range		Point
5	1.2131355503403283e+26	2.632103798519069e+26	1.2816221810803726e+26
5	-3.297361833158244e-146	-9.754799411550227e-147	-3.2442429541128636e-146

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	40	95
1	60	67
done	60	67

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.9s

16191×

body

valid