Details

Time bar (total: 14.8s)

sample105.0ms

Algorithm
intervals
Results
20.0ms56×body80valid
19.0ms167×body160valid
16.0ms269×body80nan
14.0ms525×pre80true
5.0ms33×body320valid

simplify86.0ms

Counts
1 → 1
Iterations
IterNodes
done128
5128
4119
386
246
125
014

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 c) a)))
0.1b
(- (* b b) (* (* 4.0 c) a))
0.2b
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
42.2b
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
19×prod-diff
18×times-frac
10×difference-of-squares
add-log-exp
fma-neg
add-cbrt-cube add-exp-log associate-/l*
pow1 distribute-lft-out--
expm1-log1p-u flip3-- log1p-expm1-u flip--
associate-/r*
sub-neg sqrt-div diff-log associate-/l/
cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 118
Calls
4 calls:
17.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
13.0ms
(- (* b b) (* (* 4.0 c) a))
114.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
76.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

series426.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
59.0ms
(- (* b b) (* (* 4.0 c) a))
143.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
136.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

simplify3.2s

Counts
130 → 130
Iterations
IterNodes
done5000
22179
1509
0198

prune882.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.6b

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

prune115.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* -2.0 (/ (* a c) b)) a)
0.3b
(/ (* a c) b)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
cbrt-undiv div-exp
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
31.0ms
(/ (* -2.0 (/ (* a c) b)) a)
7.0ms
(/ (* a c) b)

series50.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* -2.0 (/ (* a c) b)) a)
22.0ms
(/ (* a c) b)

simplify1.4s

Counts
57 → 57
Iterations
IterNodes
done5000
21932
1281
0101

prune448.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* -2.0 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
0.3b
(/ c (sqrt b))
0.3b
(/ a (sqrt b))
0.4b
(* (/ a (sqrt b)) (/ c (sqrt b)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
87×times-frac
62×*-un-lft-identity add-cube-cbrt
48×sqrt-prod
45×add-cbrt-cube add-exp-log
22×associate-*r* associate-*l*
16×cbrt-undiv div-exp
15×associate-/r*
13×prod-exp cbrt-unprod
unswap-sqr
associate-/l*
pow1
associate-*r/ div-inv
expm1-log1p-u log1p-expm1-u add-log-exp
clear-num frac-2neg associate-/l/
frac-times associate-*l/
pow-prod-down *-commutative
Counts
4 → 191
Calls
4 calls:
54.0ms
(/ (* -2.0 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
9.0ms
(/ c (sqrt b))
10.0ms
(/ a (sqrt b))
56.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

series240.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ (* -2.0 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
57.0ms
(/ c (sqrt b))
56.0ms
(/ a (sqrt b))
58.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

simplify1.2s

Counts
203 → 203
Iterations
IterNodes
done5000
1881
0293

prune1.1s

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 5.5b

regimes919.0ms

Accuracy

0% (6.8b remaining)

Error of 12.0b against oracle of 5.1b and baseline of 12.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.1s8183×body80nan
1.1s4824×body160valid
662.0ms16183×pre80true
394.0ms1373×body320valid
135.0ms1803×body80valid