Details

sample58.0ms

Algorithm

intervals

Results

23.0ms

354×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (23.0ms)

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize33.0ms

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)
5.7b	(* (* (* y 9.0) z) t)

rewrite116.0ms

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:

9.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
23.0ms	(* (* y 9.0) z)
81.0ms	(* (* (* y 9.0) z) t)

series459.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
262.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
35.0ms	(* (* y 9.0) z)
42.0ms	(* (* (* y 9.0) z) t)

simplify1.6s

Counts

81 → 81

Iterations

Useful iterations: 2 (274.0ms)

Iter	Nodes	Cost
0	125	997
1	302	954
2	1202	823
done	5000	823

prune401.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* 9.0 (* t (* z y))))
0.1b	(fma (* a 27.0) b (- (* x 2.0) (* 9.0 (* t (* z y)))))
0.3b	(* 9.0 (* t (* z y)))
5.7b	(* t (* z y))

rewrite144.0ms

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:

22.0ms	(- (* x 2.0) (* 9.0 (* t (* z y))))
1.0ms	(fma (* a 27.0) b (- (* x 2.0) (* 9.0 (* t (* z y)))))
89.0ms	(* 9.0 (* t (* z y)))
28.0ms	(* t (* z y))

series456.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- (* x 2.0) (* 9.0 (* t (* z y))))
272.0ms	(fma (* a 27.0) b (- (* x 2.0) (* 9.0 (* t (* z y)))))
39.0ms	(* 9.0 (* t (* z y)))
52.0ms	(* t (* z y))

simplify1.4s

Counts

81 → 81

Iterations

Useful iterations: 2 (179.0ms)

Iter	Nodes	Cost
0	116	987
1	278	948
2	1008	817
done	5001	817

prune354.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* 9.0 t) (* z y)))
0.1b	(fma (* a 27.0) b (- (* x 2.0) (* (* 9.0 t) (* z y))))
5.8b	(* (* 9.0 t) (* z y))

rewrite65.0ms

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:

10.0ms	(- (* x 2.0) (* (* 9.0 t) (* z y)))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* 9.0 t) (* z y))))
53.0ms	(* (* 9.0 t) (* z y))

series379.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(- (* x 2.0) (* (* 9.0 t) (* z y)))
233.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* 9.0 t) (* z y))))
36.0ms	(* (* 9.0 t) (* z y))

simplify1.3s

Counts

59 → 59

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	103	849
1	258	811
2	997	720
done	5000	696

prune256.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))
5.7b	(* (* (* y 9.0) z) t)

rewrite167.0ms

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))
31.0ms	(* (* y 9.0) z)
21.0ms	(* 27.0 (* a b))
103.0ms	(* (* (* y 9.0) z) t)

series185.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
21.0ms	(* (* y 9.0) z)
24.0ms	(* 27.0 (* a b))
36.0ms	(* (* (* y 9.0) z) t)

simplify1.6s

Counts

91 → 91

Iterations

Useful iterations: done (1.6s)

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

prune372.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes640.0ms

Accuracy

81.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.7b

bsearch204.0ms

Steps

Iters	Range		Point
8	3.406837294156147e+24	1.062235524068525e+29	4.756200410264388e+25
6	-1.2638701696280796e+38	-1.3207885900506812e+37	-2.185516850406665e+37

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	57
1	46	57
done	46	57

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s

11031×

body

valid