Details

sample82.0ms

Algorithm

intervals

Results

48.0ms

345×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	17	17
1	35	17
2	92	16
3	253	16
4	506	16
5	629	16
6	704	16
7	741	16
8	894	16
9	1084	16
10	1088	16
done	1088	16

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
7.3b	(* (* (* y 9.0) z) t)

rewrite135.0ms

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:

12.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
18.0ms	(* (* y 9.0) z)
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
101.0ms	(* (* (* y 9.0) z) t)

series408.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
35.0ms	(* (* y 9.0) z)
219.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
37.0ms	(* (* (* y 9.0) z) t)

simplify1.4s

Counts

81 → 81

Iterations

Useful iterations: 2 (256.0ms)

Iter	Nodes	Cost
0	125	997
1	302	954
2	1199	823
done	5000	823

prune332.0ms

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))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
7.3b	(* (* (* y 9.0) z) t)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

10.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
19.0ms	(* (* y 9.0) z)
31.0ms	(* 27.0 (* a b))
73.0ms	(* (* (* y 9.0) z) t)

series185.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
22.0ms	(* (* y 9.0) z)
21.0ms	(* 27.0 (* a b))
42.0ms	(* (* (* y 9.0) z) t)

simplify2.0s

Counts

91 → 91

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	142	911
1	355	868
2	1430	761
done	5000	739

prune307.0ms

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	(* (* y 9.0) z)
0.3b	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
0.3b	(* (sqrt 27.0) (* a b))
7.3b	(* (* (* y 9.0) z) t)

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`associate-l`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 92

Calls

4 calls:

29.0ms	(* (* y 9.0) z)
79.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
21.0ms	(* (sqrt 27.0) (* a b))
112.0ms	(* (* (* y 9.0) z) t)

series201.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* y 9.0) z)
90.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
47.0ms	(* (sqrt 27.0) (* a b))
39.0ms	(* (* (* y 9.0) z) t)

simplify1.9s

Counts

104 → 104

Iterations

Useful iterations: 2 (321.0ms)

Iter	Nodes	Cost
0	135	1001
1	334	850
2	1349	688
done	5000	688

prune374.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt 27.0) (* a b))
0.4b	(* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* a b)))
0.4b	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* a b))))
7.3b	(* (* (* y 9.0) z) t)

rewrite423.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1` `add-exp-log` `add-cbrt-cube`
25×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
21×	`sqrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 107

Calls

4 calls:

28.0ms	(* (sqrt 27.0) (* a b))
82.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* a b)))
203.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* a b))))
104.0ms	(* (* (* y 9.0) z) t)

series441.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (sqrt 27.0) (* a b))
213.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* a b)))
114.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* a b))))
46.0ms	(* (* (* y 9.0) z) t)

simplify1.4s

Counts

119 → 119

Iterations

Useful iterations: 2 (254.0ms)

Iter	Nodes	Cost
0	156	1546
1	397	1282
2	1598	939
done	5001	939

prune466.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes637.0ms

Accuracy

77.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	70
1	47	55
done	47	55

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s

11120×

body

valid