Details

sample47.0ms

Algorithm

intervals

Results

19.0ms

324×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 4.3b

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)
0.2b	(* (* y 9.0) z)
6.7b	(* (* (* y 9.0) z) t)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

11.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
29.0ms	(* (* a 27.0) b)
26.0ms	(* (* y 9.0) z)
83.0ms	(* (* (* y 9.0) z) t)

series191.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
30.0ms	(* (* a 27.0) b)
26.0ms	(* (* y 9.0) z)
35.0ms	(* (* (* y 9.0) z) t)

simplify2.0s

Counts

81 → 81

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	133	816
1	358	775
2	2387	657
done	5002	655

prune274.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (pow (* (* t z) (* y 9.0)) 1)) (* (* a 27.0) b))
0.0b	(- (* x 2.0) (pow (* (* t z) (* y 9.0)) 1))
0.2b	(* (* a 27.0) b)
5.6b	(* (* t z) (* y 9.0))

rewrite134.0ms

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:

61.0ms	(+ (- (* x 2.0) (pow (* (* t z) (* y 9.0)) 1)) (* (* a 27.0) b))
12.0ms	(- (* x 2.0) (pow (* (* t z) (* y 9.0)) 1))
25.0ms	(* (* a 27.0) b)
34.0ms	(* (* t z) (* y 9.0))

series332.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(+ (- (* x 2.0) (pow (* (* t z) (* y 9.0)) 1)) (* (* a 27.0) b))
78.0ms	(- (* x 2.0) (pow (* (* t z) (* y 9.0)) 1))
26.0ms	(* (* a 27.0) b)
40.0ms	(* (* t z) (* y 9.0))

simplify2.1s

Counts

79 → 79

Iterations

Useful iterations: 2 (382.0ms)

Iter	Nodes	Cost
0	141	1187
1	389	1020
2	2414	908
done	5001	908

prune282.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (pow (* (* (* t z) y) 9.0) 1))
0.2b	(* (* a 27.0) b)
0.2b	(* (* (* t z) y) 9.0)
5.5b	(* (* t z) y)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

13.0ms	(- (* x 2.0) (pow (* (* (* t z) y) 9.0) 1))
21.0ms	(* (* a 27.0) b)
75.0ms	(* (* (* t z) y) 9.0)
24.0ms	(* (* t z) y)

series190.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(- (* x 2.0) (pow (* (* (* t z) y) 9.0) 1))
26.0ms	(* (* a 27.0) b)
35.0ms	(* (* (* t z) y) 9.0)
36.0ms	(* (* t z) y)

simplify1.8s

Counts

81 → 81

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	134	852
1	358	765
2	2384	665
done	5000	661

prune377.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* (* t z) y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
0.2b	(* (* a 27.0) b)
0.3b	(* (* (* t z) y) (* (cbrt 9.0) (cbrt 9.0)))
5.5b	(* (* t z) y)

rewrite480.0ms

Algorithm

rewrite-expression-head

Rules

64×	`pow1` `add-exp-log`
45×	`add-cbrt-cube`
43×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`
3×	`cbrt-prod`

Counts

4 → 100

Calls

4 calls:

305.0ms	(* (* (* (* t z) y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
24.0ms	(* (* a 27.0) b)
111.0ms	(* (* (* t z) y) (* (cbrt 9.0) (cbrt 9.0)))
33.0ms	(* (* t z) y)

series316.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (* (* (* t z) y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
28.0ms	(* (* a 27.0) b)
149.0ms	(* (* (* t z) y) (* (cbrt 9.0) (cbrt 9.0)))
37.0ms	(* (* t z) y)

simplify2.4s

Counts

112 → 112

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	152	1496
1	436	1367
2	3181	1011
done	5000	892

prune729.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes844.0ms

Accuracy

89.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	36	75
1	55	51
done	55	51

end0.0ms

sample1.7s

Algorithm

intervals

Results

874.0ms

10956×

body

valid