Details

Time bar (total: 6.4s)

sample54.0ms

Algorithm
intervals
Results
10.0ms152×body160valid
9.0ms300×body80nan
9.0ms556×pre80true
4.0ms104×body80valid

simplify77.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01417
12517
24616
38616
410816
511616
done11616

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize11.0ms

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))
0.3b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
28.8b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite157.0ms

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:
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(- (* b b) (* (* 4.0 a) c))
87.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
49.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series311.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
48.0ms
(- (* b b) (* (* 4.0 a) c))
108.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
81.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify956.0ms

Counts
118 → 118
Iterations

Useful iterations: done (952.0ms)

IterNodesCost
01952476
14802169
214441861
done50011789

prune279.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.5b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune44.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.5b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:
9.0ms
(/ (* a c) b)
23.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series41.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* a c) b)
21.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify662.0ms

Counts
61 → 61
Iterations

Useful iterations: 2 (201.0ms)

IterNodesCost
0111818
1314787
21621559
done5001559

prune140.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 9.4b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
18×prod-exp cbrt-unprod
cbrt-undiv div-exp
pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 33
Calls
1 calls:
33.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

simplify1.7s

Counts
36 → 36
Iterations

Useful iterations: 2 (241.0ms)

IterNodesCost
088667
1280640
22036420
done5000420

prune32.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 9.4b

regimes359.0ms

Accuracy

45.1% (7.6b remaining)

Error of 16.5b against oracle of 8.9b and baseline of 22.8b

bsearch3.0ms

Steps
ItersRangePoint
0
137.45876142290564
143.5008573675492
140.47980939522742

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02438
13138
done3138

end0.0ms

sample1.4s

Algorithm
intervals
Results
295.0ms4483×body160valid
278.0ms16648×pre80true
270.0ms8648×body80nan
123.0ms3517×body80valid