Details

sample32.0ms

Algorithm

intervals

Results

13.0ms

321×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	17
1	34	17
2	80	17
3	210	17
4	323	17
5	334	17
6	343	17
7	366	17
8	445	17
9	491	17
done	491	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.2b	(* (* a 27.0) b)
9.1b	(* (* (* y 9.0) z) t)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

29.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
16.0ms	(* (* y 9.0) z)
16.0ms	(* (* a 27.0) b)
51.0ms	(* (* (* y 9.0) z) t)

series205.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
19.0ms	(* (* y 9.0) z)
19.0ms	(* (* a 27.0) b)
26.0ms	(* (* (* y 9.0) z) t)

simplify974.0ms

Counts

84 → 84

Iterations

Useful iterations: done (972.0ms)

Iter	Nodes	Cost
0	140	981
1	365	944
2	1545	802
done	5001	796

prune183.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* t z)))
0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
6.7b	(* (* y 9.0) (* t z))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

8.0ms	(- (* x 2.0) (* (* y 9.0) (* t z)))
29.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* (* a 27.0) b))
16.0ms	(* (* a 27.0) b)
27.0ms	(* (* y 9.0) (* t z))

series260.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* x 2.0) (* (* y 9.0) (* t z)))
145.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* (* a 27.0) b))
19.0ms	(* (* a 27.0) b)
27.0ms	(* (* y 9.0) (* t z))

simplify919.0ms

Counts

79 → 79

Iterations

Useful iterations: done (917.0ms)

Iter	Nodes	Cost
0	138	1103
1	376	1026
2	1500	914
done	5000	908

prune215.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) t) z)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.4b	(* (* y 9.0) t)
5.7b	(* (* (* y 9.0) t) z)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

29.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) t) z)) (* (* a 27.0) b))
17.0ms	(* (* a 27.0) b)
16.0ms	(* (* y 9.0) t)
52.0ms	(* (* (* y 9.0) t) z)

series217.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) t) z)) (* (* a 27.0) b))
20.0ms	(* (* a 27.0) b)
20.0ms	(* (* y 9.0) t)
28.0ms	(* (* (* y 9.0) t) z)

simplify1.0s

Counts

84 → 84

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	141	981
1	366	944
2	1545	802
done	5000	796

prune191.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y (* 9.0 t)) z)) (* (* a 27.0) b))
0.2b	(* y (* 9.0 t))
0.2b	(* (* a 27.0) b)
5.7b	(* (* y (* 9.0 t)) z)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

29.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 t)) z)) (* (* a 27.0) b))
21.0ms	(* y (* 9.0 t))
30.0ms	(* (* a 27.0) b)
45.0ms	(* (* y (* 9.0 t)) z)

series214.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 t)) z)) (* (* a 27.0) b))
18.0ms	(* y (* 9.0 t))
21.0ms	(* (* a 27.0) b)
28.0ms	(* (* y (* 9.0 t)) z)

simplify1.2s

Counts

84 → 84

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	139	980
1	361	945
2	1572	803
done	5000	797

prune175.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes468.0ms

Accuracy

81.3% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.5b

bsearch137.0ms

Steps

Iters	Range		Point
6	5.822559172165762e-06	5.133737368277297e-05	5.916611549783386e-06
11	-4.1000327500342624e+73	-2.4089386583684986e+53	-1.704208961297092e+59

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	59
1	52	59
done	52	59

end0.0ms

sample899.0ms

Algorithm

intervals

Results

409.0ms

11019×

body

valid