Details

sample41.0ms

Algorithm

intervals

Results

17.0ms

354×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	17
1	34	17
2	80	17
3	214	17
4	415	17
5	898	17
6	4135	17
done	5001	17

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize22.0ms

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)
7.7b	(* (* (* y 9.0) z) t)

rewrite194.0ms

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:

50.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
26.0ms	(* (* y 9.0) z)
26.0ms	(* (* a 27.0) b)
87.0ms	(* (* (* y 9.0) z) t)

series314.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
27.0ms	(* (* y 9.0) z)
33.0ms	(* (* a 27.0) b)
40.0ms	(* (* (* y 9.0) z) t)

simplify1.8s

Counts

84 → 84

Iterations

Useful iterations: 2 (344.0ms)

Iter	Nodes	Cost
0	140	981
1	379	944
2	2482	814
done	5000	814

prune230.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.2b	(* (* a 27.0) b)
4.4b	(* (* y 9.0) (* z t))

rewrite102.0ms

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:

40.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
9.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
17.0ms	(* (* a 27.0) b)
33.0ms	(* (* y 9.0) (* z t))

series370.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
98.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
23.0ms	(* (* a 27.0) b)
39.0ms	(* (* y 9.0) (* z t))

simplify1.4s

Counts

79 → 79

Iterations

Useful iterations: 2 (284.0ms)

Iter	Nodes	Cost
0	138	1103
1	386	1026
2	1999	914
done	5000	914

prune227.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* a (* 27.0 b)))
0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.2b	(* a (* 27.0 b))
4.4b	(* (* y 9.0) (* z t))

rewrite98.0ms

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-l`
2×	`sub-neg` `associate-+l+` `diff-log` `associate-r` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 67

Calls

4 calls:

37.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* a (* 27.0 b)))
9.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
17.0ms	(* a (* 27.0 b))
34.0ms	(* (* y 9.0) (* z t))

series303.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* a (* 27.0 b)))
79.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
23.0ms	(* a (* 27.0 b))
35.0ms	(* (* y 9.0) (* z t))

simplify1.1s

Counts

79 → 79

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	135	1100
1	372	1025
2	1658	913
done	5001	907

prune239.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* 9.0 (* z t))))
0.2b	(* a (* 27.0 b))
0.3b	(* 9.0 (* z t))
4.3b	(* y (* 9.0 (* z t)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

10.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
25.0ms	(* a (* 27.0 b))
31.0ms	(* 9.0 (* z t))
76.0ms	(* y (* 9.0 (* z t)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
32.0ms	(* a (* 27.0 b))
21.0ms	(* 9.0 (* z t))
44.0ms	(* y (* 9.0 (* z t)))

simplify1.4s

Counts

81 → 81

Iterations

Useful iterations: 2 (212.0ms)

Iter	Nodes	Cost
0	127	807
1	329	772
2	1630	648
done	5001	648

prune250.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes490.0ms

Accuracy

45.7% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	38	65
1	58	63
done	58	63

end0.0ms

sample1.7s

Algorithm

intervals

Results

862.0ms

11065×

body

valid