Details

Time bar (total: 14.4s)

sample193.0ms

Algorithm
intervals
Results
50.0ms531×pre80true
17.0ms111×body320valid
15.0ms275×body80nan
10.0ms98×body160valid
2.0ms13×body640valid
2.0ms34×body80valid

simplify129.0ms

Counts
1 → 1
Iterations
IterNodes
done105
7105
6104
5102
494
379
243
125
014

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* 4.0 (* c a))))
0.1b
(- (* b b) (* 4.0 (* c a)))
0.1b
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
26.9b
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
19×prod-diff
13×distribute-lft-out--
add-cbrt-cube add-exp-log
add-log-exp
fma-neg
pow1 div-inv
expm1-log1p-u log1p-expm1-u
cbrt-undiv associate-/r* flip3-- div-exp flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 183
Calls
4 calls:
9.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
8.0ms
(- (* b b) (* 4.0 (* c a)))
78.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
71.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

series489.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
57.0ms
(- (* b b) (* 4.0 (* c a)))
186.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
144.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

simplify2.2s

Counts
195 → 195
Iterations
IterNodes
done5002
22305
1797
0321

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.4b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune78.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.4b

localize30.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
0.3b
(/ (* a c) b)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
associate-/l*
associate-/r* div-inv
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 77
Calls
2 calls:
36.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
15.0ms
(/ (* a c) b)

series62.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
37.0ms
(/ (* a c) b)

simplify1.9s

Counts
83 → 83
Iterations
IterNodes
done5026
21950
1459
0171

prune664.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 3.3b

localize24.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ (* -2.0 (* a (/ c b))) 2.0) a)
0.3b
(* a (/ c b))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
43×times-frac
31×add-sqr-sqrt
27×add-cbrt-cube add-exp-log
26×*-un-lft-identity add-cube-cbrt
13×associate-*r*
11×cbrt-undiv div-exp
prod-exp cbrt-unprod associate-/l*
div-inv
pow1
associate-/r* associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
2 → 88
Calls
2 calls:
49.0ms
(/ (/ (* -2.0 (* a (/ c b))) 2.0) a)
22.0ms
(* a (/ c b))

series56.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (/ (* -2.0 (* a (/ c b))) 2.0) a)
28.0ms
(* a (/ c b))

simplify1.5s

Counts
94 → 94
Iterations
IterNodes
done5066
22051
1503
0189

prune544.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 3.3b

regimes747.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.2s8136×body80nan
947.0ms3545×body320valid
662.0ms16136×pre80true
480.0ms3054×body160valid
211.0ms513×body640valid
145.0ms888×body80valid