Details

Time bar (total: 18.7s)

sample137.0ms

Algorithm
intervals
Results
27.0ms149×body160valid
25.0ms288×body80nan
22.0ms544×pre80true
16.0ms58×body320valid
4.0ms49×body80valid

simplify219.0ms

Counts
1 → 1
Iterations
IterNodes
done104
7104
6103
5101
493
378
243
125
014

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.8b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* a 4.0) c)))
0.1b
(- (* b b) (* (* a 4.0) c))
0.1b
(/ (- (sqrt (- (* b b) (* (* a 4.0) c))) b) (* 2.0 a))
38.8b
(- (sqrt (- (* b b) (* (* a 4.0) c))) b)

rewrite349.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
19×prod-diff
18×sqrt-prod
add-exp-log add-cbrt-cube
add-log-exp
fma-neg
times-frac associate-/l* difference-of-squares
pow1
expm1-log1p-u flip3-- flip-- log1p-expm1-u
distribute-lft-out--
cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 106
Calls
4 calls:
23.0ms
(sqrt (- (* b b) (* (* a 4.0) c)))
20.0ms
(- (* b b) (* (* a 4.0) c))
190.0ms
(/ (- (sqrt (- (* b b) (* (* a 4.0) c))) b) (* 2.0 a))
108.0ms
(- (sqrt (- (* b b) (* (* a 4.0) c))) b)

series578.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(sqrt (- (* b b) (* (* a 4.0) c)))
87.0ms
(- (* b b) (* (* a 4.0) c))
203.0ms
(/ (- (sqrt (- (* b b) (* (* a 4.0) c))) b) (* 2.0 a))
147.0ms
(- (sqrt (- (* b b) (* (* a 4.0) c))) b)

simplify2.9s

Counts
118 → 118
Iterations
IterNodes
done5000
21833
1518
0195

prune978.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.3b

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

prune131.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.3b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 55
Calls
2 calls:
53.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
20.0ms
(/ (* a c) b)

series74.0ms

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

simplify2.3s

Counts
61 → 61
Iterations
IterNodes
done5058
22051
1336
0111

prune639.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 4.3b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
44×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
39×add-exp-log add-cbrt-cube
17×cbrt-undiv div-exp
14×associate-/r*
10×prod-exp cbrt-unprod
div-inv
associate-/l*
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-*r/ associate-/r/ associate-/l/
Counts
2 → 104
Calls
2 calls:
17.0ms
(/ a (/ b c))
46.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))

series73.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ a (/ b c))
36.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))

simplify2.8s

Counts
110 → 110
Iterations
IterNodes
done5012
22460
1573
0214

prune830.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 4.3b

regimes1.3s

Accuracy

15% (5.9b remaining)

Error of 11.1b against oracle of 5.2b and baseline of 12.1b

bsearch55.0ms

Steps
ItersRangePoint
3
8.811935278252425e-05
0.00011572818137097542
8.984490456930244e-05

simplify11.0ms

Iterations
IterNodes
done31
131
024

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.8s4855×body160valid
953.0ms8391×body80nan
891.0ms16391×pre80true
433.0ms1317×body320valid
231.0ms1828×body80valid