Details

Time bar (total: 16.1s)

sample115.0ms

Algorithm
intervals
Results
25.0ms542×pre80true
22.0ms153×body160valid
20.0ms286×body80nan
9.0ms41×body320valid
4.0ms62×body80valid

simplify79.0ms

Counts
1 → 1
Iterations
IterNodes
done111
5111
4102
378
244
124
014

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
37.7b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×neg-sub0 cbrt-undiv sum-log flip3-+ flip3-- sqrt-div div-exp associate-+l- flip-+ flip-- associate-/l/
1×+-commutative rem-sqrt-square clear-num associate-/r* sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
11.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
6.0ms
(- (* b b) (* (* 4.0 a) c))
82.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
32.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series448.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
75.0ms
(- (* b b) (* (* 4.0 a) c))
143.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
126.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify919.0ms

Counts
82 → 82
Iterations
IterNodes
done5000
21908
1419
0154

prune423.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.3b
(/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
82×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
18×add-cbrt-cube add-exp-log
11×distribute-rgt-neg-in sqrt-prod
10×add-log-exp
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 div-inv
3×diff-log associate-/l/
2×clear-num sub-neg frac-2neg prod-exp cbrt-unprod
1×associate--l- neg-sub0 flip3-+ neg-log flip-+
Counts
4 → 151
Calls
4 calls:
25.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
6.0ms
(- (* b b) (* (* 4.0 a) c))
120.0ms
(/ (/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
66.0ms
(/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series670.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
60.0ms
(- (* b b) (* (* 4.0 a) c))
212.0ms
(/ (/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
280.0ms
(/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify2.0s

Counts
163 → 163
Iterations
IterNodes
done5002
23846
1658
0247

prune818.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (- b) (sqrt (- (* b b) (* (* a c) 4.0))))
0.2b
(- (* b b) (* (* a c) 4.0))
0.3b
(/ (/ 1 1) (* (- (- b) (sqrt (- (* b b) (* (* a c) 4.0)))) (* (/ 2.0 c) (/ a (* a 4.0)))))
0.3b
(* (- (- b) (sqrt (- (* b b) (* (* a c) 4.0)))) (* (/ 2.0 c) (/ a (* a 4.0))))

rewrite330.0ms

Algorithm
rewrite-expression-head
Rules
291×add-exp-log
144×div-exp
120×prod-exp
117×add-cbrt-cube
45×cbrt-undiv cbrt-unprod
40×1-exp
31×times-frac
27×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
18×frac-times
16×rec-exp
13×associate-/l*
12×associate-*r/
11×associate-/r/
10×flip3-- associate-*l/ flip-- add-log-exp
9×pow1
7×associate-*l*
4×distribute-lft-out-- difference-of-squares
3×diff-log pow-prod-down div-inv
2×sub-neg distribute-rgt-neg-in sqrt-prod
1×associate--l- neg-sub0 clear-num associate-/r* frac-2neg associate-*r* neg-log *-commutative associate-/l/
Counts
4 → 194
Calls
4 calls:
20.0ms
(- (- b) (sqrt (- (* b b) (* (* a c) 4.0))))
8.0ms
(- (* b b) (* (* a c) 4.0))
84.0ms
(/ (/ 1 1) (* (- (- b) (sqrt (- (* b b) (* (* a c) 4.0)))) (* (/ 2.0 c) (/ a (* a 4.0)))))
197.0ms
(* (- (- b) (sqrt (- (* b b) (* (* a c) 4.0)))) (* (/ 2.0 c) (/ a (* a 4.0))))

series484.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(- (- b) (sqrt (- (* b b) (* (* a c) 4.0))))
56.0ms
(- (* b b) (* (* a c) 4.0))
166.0ms
(/ (/ 1 1) (* (- (- b) (sqrt (- (* b b) (* (* a c) 4.0)))) (* (/ 2.0 c) (/ a (* a 4.0)))))
167.0ms
(* (- (- b) (sqrt (- (* b b) (* (* a c) 4.0)))) (* (/ 2.0 c) (/ a (* a 4.0))))

simplify740.0ms

Counts
206 → 206
Iterations
IterNodes
done5001
11312
0369

prune754.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(* a (- (- b) (sqrt (- (* b b) (* (* a c) 4.0)))))
0.1b
(- (- b) (sqrt (- (* b b) (* (* a c) 4.0))))
0.2b
(- (* b b) (* (* a c) 4.0))
0.4b
(/ (+ 0 (* (* 4.0 a) c)) (* (* a (- (- b) (sqrt (- (* b b) (* (* a c) 4.0))))) 2.0))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
15×add-cbrt-cube add-exp-log
10×add-log-exp
8×add-cube-cbrt
7×associate-*r*
6×pow1
4×sub-neg flip3-- prod-exp associate-*r/ cbrt-unprod flip-- distribute-lft-out-- difference-of-squares
3×cbrt-undiv times-frac diff-log div-exp associate-*l* associate-/l*
2×distribute-rgt-in distribute-rgt-neg-in distribute-lft-in associate-*l/ associate-/r/ sqrt-prod associate-/l/
1×associate--l- neg-sub0 clear-num associate-/r* frac-2neg flip3-+ pow-prod-down neg-log *-commutative flip-+ div-inv unswap-sqr
Counts
4 → 85
Calls
4 calls:
77.0ms
(* a (- (- b) (sqrt (- (* b b) (* (* a c) 4.0)))))
35.0ms
(- (- b) (sqrt (- (* b b) (* (* a c) 4.0))))
9.0ms
(- (* b b) (* (* a c) 4.0))
101.0ms
(/ (+ 0 (* (* 4.0 a) c)) (* (* a (- (- b) (sqrt (- (* b b) (* (* a c) 4.0))))) 2.0))

series569.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* a (- (- b) (sqrt (- (* b b) (* (* a c) 4.0)))))
107.0ms
(- (- b) (sqrt (- (* b b) (* (* a c) 4.0))))
76.0ms
(- (* b b) (* (* a c) 4.0))
220.0ms
(/ (+ 0 (* (* 4.0 a) c)) (* (* a (- (- b) (sqrt (- (* b b) (* (* a c) 4.0))))) 2.0))

simplify1.5s

Counts
97 → 97
Iterations
IterNodes
done5000
23383
1551
0185

prune579.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes302.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify30.0ms

Iterations
IterNodes
done73
673
572
466
355
246
135
021

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.2s1392×body320valid
944.0ms4835×body160valid
838.0ms8376×body80nan
695.0ms16376×pre80true
142.0ms1773×body80valid