Details

sample77.0ms

Algorithm

intervals

Results

33.0ms

324×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	17	17
1	35	17
2	92	16
3	257	16
4	601	16
5	1284	16
done	5001	16

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize31.0ms

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)

rewrite150.0ms

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:

10.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
33.0ms	(* (* y 9.0) z)
105.0ms	(* (* (* y 9.0) z) t)

series417.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
224.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
24.0ms	(* (* y 9.0) z)
46.0ms	(* (* (* y 9.0) z) t)

simplify2.0s

Counts

81 → 81

Iterations

Useful iterations: 2 (381.0ms)

Iter	Nodes	Cost
0	125	997
1	315	954
2	1867	823
done	5000	823

prune475.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))))
5.6b	(* (* y 9.0) (* z t))

rewrite83.0ms

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:

21.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
1.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
58.0ms	(* (* y 9.0) (* z t))

series462.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
273.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
67.0ms	(* (* y 9.0) (* z t))

simplify1.5s

Counts

59 → 59

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	105	849
1	267	811
2	1210	698
done	5000	696

prune270.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))
5.5b	(* y (* 9.0 (* z t)))

rewrite96.0ms

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:

15.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
1.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
31.0ms	(* 9.0 (* z t))
48.0ms	(* y (* 9.0 (* z t)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
359.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
30.0ms	(* 9.0 (* z t))
36.0ms	(* y (* 9.0 (* z t)))

simplify1.5s

Counts

81 → 81

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	121	991
1	294	952
2	1340	821
done	5000	821

prune435.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* a 27.0) b (- (* x 2.0) (* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))))
0.2b	(* (cbrt 9.0) (* z t))
0.3b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t)))
5.5b	(* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))

rewrite358.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1` `add-exp-log`
40×	`pow-prod-down` `prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
10×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `associate-r` `*-commutative`
1×	`fma-udef`

Counts

4 → 98

Calls

4 calls:

0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))))
20.0ms	(* (cbrt 9.0) (* z t))
80.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t)))
254.0ms	(* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))

series576.0ms

Counts

4 → 12

Calls

4 calls:

335.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))))
55.0ms	(* (cbrt 9.0) (* z t))
85.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t)))
100.0ms	(* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))

simplify1.3s

Counts

110 → 110

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	135	1757
1	344	1714
2	1552	1138
done	5000	880

prune311.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes818.0ms

Accuracy

90.7% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.5b

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	29	65
1	43	50
done	43	50

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s

10956×

body

valid