Details

Time bar (total: 15.9s)

sample71.0ms

Algorithm
intervals
Results
29.0ms342×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
51325
4618
3257
292
135
017

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.6b

localize18.0ms

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)
0.5b
(* (* y 9.0) z)
5.3b
(* (* (* y 9.0) z) t)

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-cbrt-cube add-exp-log
12×pow-prod-down prod-exp cbrt-unprod
associate-*r* add-log-exp
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u log1p-expm1-u
associate-+l+ fma-def associate-*l* *-commutative
sum-log
+-commutative sub-neg flip3-+ diff-log prod-diff associate-+l- flip-+
Counts
4 → 84
Calls
4 calls:
53.0ms
(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
31.0ms
(* (* a 27.0) b)
27.0ms
(* (* y 9.0) z)
46.0ms
(* (* (* y 9.0) z) t)

series383.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
39.0ms
(* (* a 27.0) b)
38.0ms
(* (* y 9.0) z)
51.0ms
(* (* (* y 9.0) z) t)

simplify2.2s

Counts
96 → 96
Iterations
IterNodes
done5002
22591
1401
0152

prune668.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* (* a 27.0) b))
0.2b
(* y (* z 9.0))
0.2b
(* (* a 27.0) b)
5.3b
(* (* y (* z 9.0)) t)

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-cbrt-cube add-exp-log
12×pow-prod-down prod-exp cbrt-unprod
add-log-exp
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-*r*
associate-*l*
expm1-log1p-u log1p-expm1-u
associate-+l+ fma-def *-commutative
sum-log
+-commutative sub-neg flip3-+ diff-log prod-diff associate-+l- flip-+
Counts
4 → 84
Calls
4 calls:
34.0ms
(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* (* a 27.0) b))
12.0ms
(* y (* z 9.0))
19.0ms
(* (* a 27.0) b)
52.0ms
(* (* y (* z 9.0)) t)

series264.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* (* a 27.0) b))
26.0ms
(* y (* z 9.0))
21.0ms
(* (* a 27.0) b)
35.0ms
(* (* y (* z 9.0)) t)

simplify1.4s

Counts
96 → 96
Iterations
IterNodes
done5000
22182
1390
0150

prune538.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (* t (* z y)) (- 9.0) (fma (* 27.0 a) b (* 2.0 x)))
0.1b
(fma (* 27.0 a) b (* 2.0 x))
5.3b
(* t (* z y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
fma-udef
associate-*r* *-commutative
Counts
3 → 40
Calls
3 calls:
1.0ms
(fma (* t (* z y)) (- 9.0) (fma (* 27.0 a) b (* 2.0 x)))
0.0ms
(fma (* 27.0 a) b (* 2.0 x))
24.0ms
(* t (* z y))

series287.0ms

Counts
3 → 9
Calls
3 calls:
205.0ms
(fma (* t (* z y)) (- 9.0) (fma (* 27.0 a) b (* 2.0 x)))
48.0ms
(fma (* 27.0 a) b (* 2.0 x))
34.0ms
(* t (* z y))

simplify1.3s

Counts
49 → 49
Iterations
IterNodes
done5000
32239
2496
1147
074

prune499.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x 2.0) (fma (* b a) 27.0 (* (- t) (* z (* 9.0 y)))))
0.1b
(fma (* b a) 27.0 (* (- t) (* z (* 9.0 y))))
0.5b
(* z (* 9.0 y))
5.3b
(* (- t) (* z (* 9.0 y)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
13×associate-*l*
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
add-log-exp
expm1-log1p-u log1p-expm1-u
distribute-lft-neg-in distribute-rgt-neg-in
associate-*r* *-commutative fma-udef
distribute-lft-neg-out +-commutative associate-+r+ neg-mul-1 sum-log fma-def flip3-+ flip-+
Counts
4 → 76
Calls
4 calls:
11.0ms
(+ (* x 2.0) (fma (* b a) 27.0 (* (- t) (* z (* 9.0 y)))))
0.0ms
(fma (* b a) 27.0 (* (- t) (* z (* 9.0 y))))
21.0ms
(* z (* 9.0 y))
47.0ms
(* (- t) (* z (* 9.0 y)))

series803.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(+ (* x 2.0) (fma (* b a) 27.0 (* (- t) (* z (* 9.0 y)))))
115.0ms
(fma (* b a) 27.0 (* (- t) (* z (* 9.0 y))))
426.0ms
(* z (* 9.0 y))
50.0ms
(* (- t) (* z (* 9.0 y)))

simplify815.0ms

Counts
88 → 88
Iterations
IterNodes
done5001
21441
1325
0126

prune634.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.8s

Accuracy

85.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.7b

bsearch2.0ms

simplify10.0ms

Iterations
IterNodes
done57
157
038

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.0s10944×body80valid