Details

Time bar (total: 16.1s)

sample91.0ms

Algorithm
intervals
Results
16.0ms32×body2560valid
16.0ms184×body80valid
13.0ms31×body1280valid
7.0ms84×body80nan
6.0ms17×body640valid
4.0ms1×body160valid
2.0ms3×body5120valid
2.0ms6×body320valid

simplify76.0ms

Counts
1 → 1
Iterations
IterNodes
done104
5104
496
376
241
121
012

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
1.4b
(- (* b b) (* (* 3.0 a) c))
24.6b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
62.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
123.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
7.0ms
(- (* b b) (* (* 3.0 a) c))
8.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series421.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
139.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
62.0ms
(- (* b b) (* (* 3.0 a) c))
98.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify1.3s

Counts
84 → 84
Iterations
IterNodes
done5001
21777
1402
0154

prune565.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
1.4b
(- (* b b) (* (* 3.0 a) c))
24.6b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1
9×add-cbrt-cube add-exp-log
8×*-un-lft-identity add-log-exp
6×add-cube-cbrt
4×sqrt-prod
3×flip3-- associate-*r* pow-prod-down prod-exp cbrt-unprod flip--
2×sub-neg sqrt-div diff-log difference-of-squares
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* *-commutative distribute-lft-out--
Counts
4 → 60
Calls
4 calls:
17.0ms
(* (* 3.0 a) c)
40.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
6.0ms
(- (* b b) (* (* 3.0 a) c))
7.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* 3.0 a) c)
98.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
76.0ms
(- (* b b) (* (* 3.0 a) c))
108.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify1.2s

Counts
72 → 72
Iterations
IterNodes
done5000
21609
1302
0120

prune435.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
0.3b
(* (/ 1 3.0) (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a))
1.4b
(- (* b b) (* (* 3.0 a) c))
24.6b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
34×times-frac
32×*-un-lft-identity
26×add-exp-log
22×associate-*r* add-cube-cbrt
16×add-cbrt-cube
13×associate-*l*
8×div-exp prod-exp add-log-exp difference-of-squares
7×pow1 sqrt-prod
6×unswap-sqr
4×cbrt-undiv cbrt-unprod distribute-lft-out--
3×flip3-- flip--
2×rec-exp sub-neg sqrt-div diff-log 1-exp div-inv
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 107
Calls
4 calls:
59.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
117.0ms
(* (/ 1 3.0) (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a))
6.0ms
(- (* b b) (* (* 3.0 a) c))
7.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series464.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
177.0ms
(* (/ 1 3.0) (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) a))
63.0ms
(- (* b b) (* (* 3.0 a) c))
109.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify2.3s

Counts
119 → 119
Iterations
IterNodes
done5001
23563
1631
0220

prune687.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)
0.2b
(/ (/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) a) 3.0)
1.4b
(- (* b b) (* 3.0 (* a c)))
24.6b
(sqrt (- (* b b) (* 3.0 (* a c))))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
121×add-sqr-sqrt
94×*-un-lft-identity
68×add-cube-cbrt
26×difference-of-squares
22×associate-/l*
16×sqrt-prod
13×distribute-lft-out--
9×add-cbrt-cube add-exp-log
8×add-log-exp
5×pow1 div-inv
3×cbrt-undiv associate-/r* flip3-- div-exp flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 149
Calls
4 calls:
33.0ms
(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)
88.0ms
(/ (/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) a) 3.0)
8.0ms
(- (* b b) (* 3.0 (* a c)))
11.0ms
(sqrt (- (* b b) (* 3.0 (* a c))))

series722.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)
463.0ms
(/ (/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) a) 3.0)
56.0ms
(- (* b b) (* 3.0 (* a c)))
92.0ms
(sqrt (- (* b b) (* 3.0 (* a c))))

simplify2.0s

Counts
161 → 161
Iterations
IterNodes
done5001
23056
1699
0278

prune937.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.8b

regimes761.0ms

Accuracy

84% (4.6b remaining)

Error of 10.7b against oracle of 6.2b and baseline of 34.6b

bsearch160.0ms

Steps
ItersRangePoint
8
2.8373581988670566e-35
2.2677514638291856e-31
3.264293321664548e-35
9
-2.18251428070208e+135
-2.7037994126971227e+126
-2.2866170111505574e+129

simplify4.0ms

Iterations
IterNodes
done32
132
027

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.0s1040×body2560valid
498.0ms5834×body80valid
418.0ms910×body1280valid
242.0ms2881×body80nan
114.0ms453×body640valid
47.0ms101×body5120valid
45.0ms232×body320valid
14.0ms116×body160valid