Details

Time bar (total: 18.4s)

sample132.0ms

Algorithm
intervals
Results
36.0ms535×pre80true
28.0ms172×body160valid
22.0ms279×body80nan
7.0ms84×body80valid

simplify199.0ms

Counts
1 → 1
Iterations
IterNodes
done94
794
693
591
483
368
239
121
012

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
33.3b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
pow1
add-sqr-sqrt add-cube-cbrt
distribute-lft-out
times-frac associate-/l*
prod-exp cbrt-unprod
distribute-rgt-neg-in associate-*r* pow-prod-down
cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
34.0ms
(* (* 3.0 a) c)
16.0ms
(- (* b b) (* (* 3.0 a) c))
128.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
43.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series479.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* 3.0 a) c)
82.0ms
(- (* b b) (* (* 3.0 a) c))
213.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
146.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.8s

Counts
85 → 85
Iterations
IterNodes
done5002
21501
1428
0154

prune792.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.8b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune147.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 8.8b

localize32.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
times-frac associate-*r*
pow1
associate-/r*
associate-*l* div-inv add-log-exp
frac-2neg associate-*r/ clear-num associate-/l*
pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 78
Calls
3 calls:
19.0ms
(/ (* a c) b)
35.0ms
(* -1.5 (/ (* a c) b))
73.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series176.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ (* a c) b)
76.0ms
(* -1.5 (/ (* a c) b))
38.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify2.6s

Counts
87 → 87
Iterations
IterNodes
done5058
22216
1371
0123

prune702.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 8.6b

localize41.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* 3.0 a) b)
0.3b
(* -1.5 (* a c))
0.4b
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
24×prod-exp cbrt-unprod
13×pow1
cbrt-undiv div-exp
pow-prod-down
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r* associate-*l*
add-log-exp
*-commutative
frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
3 → 67
Calls
3 calls:
38.0ms
(* (* 3.0 a) b)
34.0ms
(* -1.5 (* a c))
68.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series110.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* (* 3.0 a) b)
35.0ms
(* -1.5 (* a c))
42.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify2.8s

Counts
76 → 76
Iterations
IterNodes
done5043
22437
1325
0107

prune390.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.6b

regimes2.1s

Accuracy

59% (5.5b remaining)

Error of 14.6b against oracle of 9.2b and baseline of 22.5b

bsearch7.0ms

simplify13.0ms

Iterations
IterNodes
done38
138
030

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.5s8482×body80nan
1.0s4522×body160valid
715.0ms16482×pre80true
415.0ms3478×body80valid