Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

343×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	17	17
1	35	17
2	90	16
3	244	16
4	500	16
5	620	16
6	695	16
7	732	16
8	849	16
9	1237	16
10	1241	16
done	1241	16

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.1b	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
6.7b	(* (* (* y 9.0) z) t)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
6.0ms	(* (* y 9.0) z)
24.0ms	(* (* (* y 9.0) z) t)

series297.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
174.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
19.0ms	(* (* y 9.0) z)
27.0ms	(* (* (* y 9.0) z) t)

simplify1.2s

Counts

81 → 81

Iterations

Useful iterations: 2 (161.0ms)

Iter	Nodes	Cost
0	125	997
1	303	954
2	1248	823
done	5000	823

prune269.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.1b	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
6.2b	(* (* y 9.0) (* z t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `prod-diff` `*-commutative` `flip--` `fma-udef`

Counts

3 → 50

Calls

3 calls:

3.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
10.0ms	(* (* y 9.0) (* z t))

series278.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
169.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
32.0ms	(* (* y 9.0) (* z t))

simplify995.0ms

Counts

59 → 59

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	105	849
1	271	811
2	1067	698
done	5000	698

prune183.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* 9.0 (* z t))))
0.1b	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
0.2b	(* 9.0 (* z t))
5.9b	(* y (* 9.0 (* z t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
6.0ms	(* 9.0 (* z t))
15.0ms	(* y (* 9.0 (* z t)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
177.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
19.0ms	(* 9.0 (* z t))
28.0ms	(* y (* 9.0 (* z t)))

simplify942.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	121	991
1	290	952
2	1105	821
done	5001	821

prune259.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* (* 9.0 z) t)))
0.1b	(fma (* a 27.0) b (- (* x 2.0) (* y (* (* 9.0 z) t))))
0.2b	(* (* 9.0 z) t)
5.9b	(* y (* (* 9.0 z) t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* x 2.0) (* y (* (* 9.0 z) t)))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* (* 9.0 z) t))))
7.0ms	(* (* 9.0 z) t)
18.0ms	(* y (* (* 9.0 z) t))

series298.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (* x 2.0) (* y (* (* 9.0 z) t)))
174.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* (* 9.0 z) t))))
19.0ms	(* (* 9.0 z) t)
28.0ms	(* y (* (* 9.0 z) t))

simplify1.2s

Counts

81 → 81

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	124	996
1	304	955
2	1242	824
done	5000	824

prune245.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes662.0ms

Accuracy

76.2% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	27	60
1	38	45
done	38	45

end0.0ms

sample816.0ms

Algorithm

intervals

Results

444.0ms

11081×

body

valid