Details

sample44.0ms

Algorithm

intervals

Results

20.0ms

364×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1325
4	618
3	257
2	92
1	35
0	17

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.6b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(* (* y 9.0) z)
5.1b	(* (* (* y 9.0) z) t)

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

31.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
20.0ms	(* (* a 27.0) b)
17.0ms	(* (* y 9.0) z)
61.0ms	(* (* (* y 9.0) z) t)

series312.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
28.0ms	(* (* a 27.0) b)
23.0ms	(* (* y 9.0) z)
47.0ms	(* (* (* y 9.0) z) t)

simplify2.8s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	2591
1	401
0	152

prune714.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))
5.1b	(* t (* z y))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

41.0ms	(+ (- (* x 2.0) (* 9.0 (* t (* z y)))) (* (* a 27.0) b))
15.0ms	(* (* a 27.0) b)
55.0ms	(* 9.0 (* t (* z y)))
15.0ms	(* t (* z y))

series330.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(+ (- (* x 2.0) (* 9.0 (* t (* z y)))) (* (* a 27.0) b))
27.0ms	(* (* a 27.0) b)
46.0ms	(* 9.0 (* t (* z y)))
41.0ms	(* t (* z y))

simplify1.9s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	1947
1	371
0	144

prune779.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* y z) (* 9.0 t))))
0.3b	(* 27.0 (* a b))
5.1b	(* (* y z) (* 9.0 t))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

37.0ms	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* y z) (* 9.0 t))))
14.0ms	(* 27.0 (* a b))
33.0ms	(* (* y z) (* 9.0 t))

series340.0ms

Counts

3 → 9

Calls

3 calls:

249.0ms	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* y z) (* 9.0 t))))
42.0ms	(* 27.0 (* a b))
49.0ms	(* (* y z) (* 9.0 t))

simplify1.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1622
1	351
0	127

prune543.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 x) (* (* 9.0 (* z t)) y))
0.1b	(fma (* a 27.0) b (- (* 2.0 x) (* (* 9.0 (* z t)) y)))
0.2b	(* 9.0 (* z t))
4.5b	(* (* 9.0 (* z t)) y)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(- (* 2.0 x) (* (* 9.0 (* z t)) y))
0.0ms	(fma (* a 27.0) b (- (* 2.0 x) (* (* 9.0 (* z t)) y)))
13.0ms	(* 9.0 (* z t))
43.0ms	(* (* 9.0 (* z t)) y)

series388.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (* 2.0 x) (* (* 9.0 (* z t)) y))
237.0ms	(fma (* a 27.0) b (- (* 2.0 x) (* (* 9.0 (* z t)) y)))
23.0ms	(* 9.0 (* z t))
33.0ms	(* (* 9.0 (* z t)) y)

simplify1.4s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	1472
1	305
0	122

prune665.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes1.3s

Accuracy

75.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.6b

bsearch191.0ms

Steps

Iters	Range		Point
7	3.5782274853577514e-78	6.42174681221046e-76	1.736087413763324e-76
9	-1.0298839215042786e-51	-3.322714850036992e-60	-2.0965101724637693e-52

simplify23.0ms

Iterations

Iter	Nodes
done	52
1	52
0	37

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s

11041×

body

valid