Details

Time bar (total: 10.2s)

sample101.0ms

Algorithm
intervals
Results
22.0ms152×body160valid
19.0ms270×body80nan
16.0ms526×pre80true
8.0ms104×body80valid

simplify148.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
01417
12517
24616
38616
410816
511616
done11616

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize17.0ms

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))
29.8b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite252.0ms

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:
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
15.0ms
(- (* b b) (* (* 4.0 a) c))
146.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
67.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series404.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
63.0ms
(- (* b b) (* (* 4.0 a) c))
138.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
122.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.4s

Counts
118 → 118
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01952476
14802169
214441861
done50011789

prune378.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.8b

localize4.0ms

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

prune91.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 9.8b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:
10.0ms
(/ (* a c) b)
38.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series54.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
32.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify849.0ms

Counts
61 → 61
Iterations

Useful iterations: 2 (236.0ms)

IterNodesCost
0111818
1314787
21621559
done5001559

prune232.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 9.7b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:
9.0ms
(/ a (/ b c))
21.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))

series51.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ a (/ b c))
26.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))

simplify1.2s

Counts
110 → 110
Iterations

Useful iterations: 2 (386.0ms)

IterNodesCost
02141514
15171423
221381185
done50011185

prune311.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 9.7b

regimes713.0ms

Accuracy

45.6% (7.7b remaining)

Error of 16.5b against oracle of 8.8b and baseline of 23.0b

bsearch21.0ms

Steps
ItersRangePoint
2
150.16573188891235
172.11219919383046
152.9090403020271

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02438
13138
done3138

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.5s4450×body160valid
702.0ms8291×body80nan
636.0ms16291×pre80true
346.0ms3550×body80valid