Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

349×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

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: 3.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.5b	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
6.2b	(* (* (* y 9.0) z) t)

rewrite35.0ms

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))
7.0ms	(* (* y 9.0) z)
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
23.0ms	(* (* (* y 9.0) z) t)

series297.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
18.0ms	(* (* y 9.0) z)
171.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
28.0ms	(* (* (* y 9.0) z) t)

simplify680.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (157.0ms)

Iter	Nodes	Cost
0	125	997
1	303	954
2	1235	823
done	5000	823

prune286.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize252.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.5b	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
3.2b	(* (* y 9.0) (* z t))

rewrite16.0ms

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))))
11.0ms	(* (* y 9.0) (* z t))

series263.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
161.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
27.0ms	(* (* y 9.0) (* z t))

simplify526.0ms

Counts

59 → 59

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	105	849
1	269	811
2	1036	698
done	5001	698

prune195.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* 9.0 (* z t))))
0.2b	(* 9.0 (* z t))
0.5b	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
3.2b	(* y (* 9.0 (* z t)))

rewrite28.0ms

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))))
6.0ms	(* 9.0 (* z t))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
16.0ms	(* y (* 9.0 (* z t)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
18.0ms	(* 9.0 (* z t))
170.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
27.0ms	(* y (* 9.0 (* z t)))

simplify542.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	121	991
1	290	952
2	1092	821
done	5001	821

prune265.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x 2.0 (- (* 9.0 (* t (* z y)))))
0.2b	(* 9.0 (* t (* z y)))
0.5b	(fma (* a 27.0) b (fma x 2.0 (- (* 9.0 (* t (* z y))))))
6.2b	(* t (* z y))

rewrite25.0ms

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*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative` `fma-udef`

Counts

4 → 63

Calls

4 calls:

0.0ms	(fma x 2.0 (- (* 9.0 (* t (* z y)))))
16.0ms	(* 9.0 (* t (* z y)))
0.0ms	(fma (* a 27.0) b (fma x 2.0 (- (* 9.0 (* t (* z y))))))
6.0ms	(* t (* z y))

series309.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(fma x 2.0 (- (* 9.0 (* t (* z y)))))
28.0ms	(* 9.0 (* t (* z y)))
170.0ms	(fma (* a 27.0) b (fma x 2.0 (- (* 9.0 (* t (* z y))))))
27.0ms	(* t (* z y))

simplify1.4s

Counts

75 → 75

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	99	843
1	210	831
2	686	691
3	3196	691
done	5000	691

prune227.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes586.0ms

Accuracy

79% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 3.5b

bsearch1.0ms

simplify10.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	31	67
1	47	52
2	57	52
3	63	52
4	69	52
done	69	52

end0.0ms

sample836.0ms

Algorithm

intervals

Results

463.0ms

10974×

body

valid