Details

sample44.0ms

Algorithm

intervals

Results

17.0ms

340×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (41.0ms)

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.3b	(* (* a 27.0) b)
5.8b	(* (* (* y 9.0) z) t)

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

46.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
36.0ms	(* (* y 9.0) z)
42.0ms	(* (* a 27.0) b)
87.0ms	(* (* (* y 9.0) z) t)

series366.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
28.0ms	(* (* y 9.0) z)
28.0ms	(* (* a 27.0) b)
45.0ms	(* (* (* y 9.0) z) t)

simplify2.8s

Counts

96 → 96

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	152	1078
1	401	1038
2	2617	889
done	5000	885

prune817.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* a (* 27.0 b))
0.2b	(* (* y 9.0) z)
5.8b	(* (* (* y 9.0) z) t)

rewrite144.0ms

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:

9.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
20.0ms	(* a (* 27.0 b))
35.0ms	(* (* y 9.0) z)
77.0ms	(* (* (* y 9.0) z) t)

series223.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
34.0ms	(* a (* 27.0 b))
29.0ms	(* (* y 9.0) z)
41.0ms	(* (* (* y 9.0) z) t)

simplify2.0s

Counts

91 → 91

Iterations

Useful iterations: 2 (335.0ms)

Iter	Nodes	Cost
0	144	911
1	374	868
2	2201	739
done	5000	739

prune590.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* 9.0 (* t (* z y)))) (* a (* 27.0 b)))
0.2b	(* a (* 27.0 b))
0.2b	(* 9.0 (* t (* z y)))
5.7b	(* t (* z y))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

41.0ms	(+ (- (* x 2.0) (* 9.0 (* t (* z y)))) (* a (* 27.0 b)))
34.0ms	(* a (* 27.0 b))
76.0ms	(* 9.0 (* t (* z y)))
26.0ms	(* t (* z y))

series343.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(+ (- (* x 2.0) (* 9.0 (* t (* z y)))) (* a (* 27.0 b)))
23.0ms	(* a (* 27.0 b))
45.0ms	(* 9.0 (* t (* z y)))
38.0ms	(* t (* z y))

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	141	1065
1	357	1031
2	1497	872
done	5000	861

prune566.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma 2.0 x (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
5.7b	(* t (* z y))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

9.0ms	(- (fma 2.0 x (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
50.0ms	(* 9.0 (* t (* z y)))
18.0ms	(* 27.0 (* a b))
17.0ms	(* t (* z y))

series268.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(- (fma 2.0 x (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
33.0ms	(* 9.0 (* t (* z y)))
26.0ms	(* 27.0 (* a b))
34.0ms	(* t (* z y))

simplify1.1s

Counts

96 → 96

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	141	1143
1	351	1105
2	1514	941
done	5001	921

prune501.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes1.5s

Accuracy

79.1% (0.7b remaining)

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

bsearch264.0ms

Steps

Iters	Range		Point
8	5.475800070926666e+53	5.263642544466606e+57	1.1814485508365707e+54
10	-8.373513646867551e-26	-3.860329676442696e-36	-8.113478395994193e-26

simplify12.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	68
1	55	68
done	55	68

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s

11022×

body

valid