Details

Time bar (total: 14.9s)

sample58.0ms

Algorithm
intervals
Results
31.0ms355×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
01717
13517
29216
325316
450616
562916
670416
774116
889416
9108416
10108816
done108816

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.2b

localize17.0ms

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)
5.8b
(* (* (* y 9.0) z) t)

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
associate-*r* add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u log1p-expm1-u
associate-+l+ fma-def associate-*l* *-commutative
sum-log
+-commutative associate-+l- sub-neg flip3-+ diff-log prod-diff flip-+
Counts
4 → 84
Calls
4 calls:
34.0ms
(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
19.0ms
(* (* a 27.0) b)
17.0ms
(* (* y 9.0) z)
59.0ms
(* (* (* y 9.0) z) t)

series260.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
21.0ms
(* (* a 27.0) b)
19.0ms
(* (* y 9.0) z)
31.0ms
(* (* (* y 9.0) z) t)

simplify1.4s

Counts
96 → 96
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01521078
13861038
21664888
done5001868

prune343.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
associate-*l*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
expm1-log1p-u log1p-expm1-u
associate-*r* *-commutative
sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 79
Calls
4 calls:
34.0ms
(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
23.0ms
(* 27.0 (* a b))
64.0ms
(* 9.0 (* t (* z y)))
24.0ms
(* t (* z y))

series225.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
30.0ms
(* 27.0 (* a b))
40.0ms
(* 9.0 (* t (* z y)))
36.0ms
(* t (* z y))

simplify1.2s

Counts
91 → 91
Iterations

Useful iterations: 2 (180.0ms)

IterNodesCost
0126945
1311896
21196773
done5000773

prune300.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
0.0b
(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
0.2b
(* 27.0 (* a b))
5.9b
(* (* 9.0 t) (* z y))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u associate-*l* log1p-expm1-u
associate-+r+
sub-neg diff-log associate-*r* prod-diff sum-log *-commutative
+-commutative associate-+r- flip3-- fma-def flip3-+ fma-neg flip-- flip-+
Counts
4 → 79
Calls
4 calls:
46.0ms
(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
21.0ms
(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
16.0ms
(* 27.0 (* a b))
27.0ms
(* (* 9.0 t) (* z y))

series352.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
102.0ms
(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
28.0ms
(* 27.0 (* a b))
41.0ms
(* (* 9.0 t) (* z y))

simplify1.1s

Counts
91 → 91
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01441269
13901156
215161045
done50001040

prune348.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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)
0.4b
(* y (* 9.0 z))
5.8b
(* (* y (* 9.0 z)) t)

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r*
associate-*l*
expm1-log1p-u log1p-expm1-u
associate-+l+ fma-def *-commutative
sum-log
+-commutative associate-+l- sub-neg flip3-+ diff-log prod-diff flip-+
Counts
4 → 84
Calls
4 calls:
43.0ms
(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
32.0ms
(* (* a 27.0) b)
27.0ms
(* y (* 9.0 z))
79.0ms
(* (* y (* 9.0 z)) t)

series296.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
25.0ms
(* (* a 27.0) b)
20.0ms
(* y (* 9.0 z))
43.0ms
(* (* y (* 9.0 z)) t)

simplify1.9s

Counts
96 → 96
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01501077
13821039
21699881
done5001869

prune351.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes784.0ms

Accuracy

78.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02963
14447
done4447

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s11008×body80valid