Details

sample84.0ms

Algorithm

intervals

Results

34.0ms

342×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4208
5	906
4	414
3	214
2	80
1	34
0	17

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.6b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.5b	(* (* y 9.0) z)
5.3b	(* (* (* y 9.0) z) t)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 72

Calls

4 calls:

35.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
13.0ms	(* (* a 27.0) b)
22.0ms	(* (* y 9.0) z)
52.0ms	(* (* (* y 9.0) z) t)

series326.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
31.0ms	(* (* a 27.0) b)
30.0ms	(* (* y 9.0) z)
38.0ms	(* (* (* y 9.0) z) t)

simplify1.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	2479
1	378
0	140

prune543.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (pow (* (* z 9.0) y) 1) t)) (* (* a 27.0) b))
0.2b	(* (* z 9.0) y)
0.2b	(* (* a 27.0) b)
5.3b	(* (pow (* (* z 9.0) y) 1) t)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`add-cbrt-cube`
15×	`pow1`
14×	`prod-exp`
11×	`add-sqr-sqrt`
9×	`associate-r` `add-log-exp`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `pow-prod-down` `cbrt-unprod`
3×	`pow-exp` `*-commutative`
2×	`associate-+l+` `sum-log` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sub-neg` `unpow-prod-down` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 76

Calls

4 calls:

34.0ms	(+ (- (* x 2.0) (* (pow (* (* z 9.0) y) 1) t)) (* (* a 27.0) b))
15.0ms	(* (* z 9.0) y)
19.0ms	(* (* a 27.0) b)
18.0ms	(* (pow (* (* z 9.0) y) 1) t)

series328.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(+ (- (* x 2.0) (* (pow (* (* z 9.0) y) 1) t)) (* (* a 27.0) b))
41.0ms	(* (* z 9.0) y)
37.0ms	(* (* a 27.0) b)
43.0ms	(* (pow (* (* z 9.0) y) 1) t)

simplify1.7s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	2540
1	411
0	158

prune728.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
5.3b	(* (* (* y (* 9.0 (* (cbrt z) (cbrt z)))) (cbrt z)) t)

rewrite722.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log`
18×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
718.0ms	(* (* (* y (* 9.0 (* (cbrt z) (cbrt z)))) (cbrt z)) t)

series942.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt z)
328.0ms	(cbrt z)
276.0ms	(cbrt z)
68.0ms	(* (* (* y (* 9.0 (* (cbrt z) (cbrt z)))) (cbrt z)) t)

simplify1.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	1579
1	289
0	100

prune490.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y z) (* t 9.0)))
0.0b	(+ (- (* x 2.0) (* (* y z) (* t 9.0))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
5.4b	(* (* y z) (* t 9.0))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r`
2×	`associate-+l+` `sum-log` `sub-neg` `diff-log` `associate-l` `*-commutative`
1×	`+-commutative` `flip3-+` `flip3--` `associate-+l-` `flip-+` `flip--`

Counts

4 → 67

Calls

4 calls:

13.0ms	(- (* x 2.0) (* (* y z) (* t 9.0)))
55.0ms	(+ (- (* x 2.0) (* (* y z) (* t 9.0))) (* (* a 27.0) b))
27.0ms	(* (* a 27.0) b)
42.0ms	(* (* y z) (* t 9.0))

series347.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (* x 2.0) (* (* y z) (* t 9.0)))
202.0ms	(+ (- (* x 2.0) (* (* y z) (* t 9.0))) (* (* a 27.0) b))
32.0ms	(* (* a 27.0) b)
32.0ms	(* (* y z) (* t 9.0))

simplify1.5s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	2004
1	382
0	138

prune434.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes2.1s

Accuracy

80.6% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.9b

bsearch1.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	52
2	52
1	51
0	32

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s

10944×

body

valid