Details

Time bar (total: 15.3s)

sample158.0ms

Algorithm
intervals
Results
44.0ms140×body160valid
32.0ms265×body80nan
30.0ms521×pre80true
16.0ms40×body320valid
10.0ms76×body80valid

simplify108.0ms

Counts
1 → 1
Iterations
IterNodes
898
798
697
595
487
370
243
124
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(- (* b b) (* (* c a) 4))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
35.8b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
sqrt-prod add-log-exp
add-cbrt-cube add-exp-log associate-/l*
pow1 distribute-lft-out--
flip3-- insert-posit16 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 → 88
Calls
4 calls:
8.0ms
(sqrt (- (* b b) (* (* c a) 4)))
9.0ms
(- (* b b) (* (* c a) 4))
110.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
30.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series437.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(sqrt (- (* b b) (* (* c a) 4)))
74.0ms
(- (* b b) (* (* c a) 4))
141.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
112.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.5s

Counts
100 → 100
Iterations
IterNodes
33663
21093
1400
0161

prune1.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.0b

localize15.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune97.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* -2 (/ (* a c) b)) a)
0.3b
(/ (* a c) b)

rewrite24.0ms

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
pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
14.0ms
(/ (* -2 (/ (* a c) b)) a)
8.0ms
(/ (* a c) b)

series47.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* -2 (/ (* a c) b)) a)
22.0ms
(/ (* a c) b)

simplify2.3s

Counts
55 → 55
Iterations
IterNodes
36549
21058
1265
099

prune539.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ -2 (* (/ 1 c) b))
0.3b
(* (/ 1 c) b)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
19×add-sqr-sqrt
16×add-cbrt-cube
14×times-frac
13×*-un-lft-identity associate-*l*
12×add-cube-cbrt
div-exp
prod-exp
cbrt-undiv
pow1 cbrt-unprod
associate-*r* associate-/l* unswap-sqr
rec-exp 1-exp associate-*l/ insert-posit16 div-inv add-log-exp
clear-num associate-/r* frac-2neg pow-prod-down associate-/r/ *-commutative
Counts
2 → 63
Calls
2 calls:
12.0ms
(/ -2 (* (/ 1 c) b))
10.0ms
(* (/ 1 c) b)

series54.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ -2 (* (/ 1 c) b))
19.0ms
(* (/ 1 c) b)

simplify1.4s

Counts
69 → 69
Iterations
IterNodes
32440
2705
1250
0111

prune569.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.9b

regimes638.0ms

Accuracy

13.4% (6.1b remaining)

Error of 11.2b against oracle of 5.1b and baseline of 12.2b

bsearch120.0ms

Steps
ItersRangePoint
5
0.001979392778192651
0.00619171073995458
0.002027355084314286

simplify6.0ms

Iterations
IterNodes
235
135
026

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.5s4797×body160valid
1.1s8416×body80nan
997.0ms16416×pre80true
637.0ms1373×body320valid
260.0ms1830×body80valid