Details

Time bar (total: 42.7s)

sample188.0ms

Algorithm
intervals
Results
58.0ms151×body160valid
39.0ms281×body80nan
33.0ms537×pre80true
18.0ms41×body320valid
9.0ms64×body80valid

simplify139.0ms

Counts
1 → 1
Iterations
IterNodes
8105
7105
6104
5102
494
377
244
125
014

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4 a) c)))
0.2b
(- (* b b) (* (* 4 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
37.9b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
11×add-sqr-sqrt
10×fma-def add-cube-cbrt add-log-exp
add-cbrt-cube add-exp-log
distribute-rgt-neg-in distribute-lft-out
pow1 times-frac associate-/l*
expm1-log1p-u log1p-expm1-u
distribute-lft-neg-in sqrt-prod
neg-sub0 cbrt-undiv sum-log flip3-+ flip3-- sqrt-div div-exp associate-+l- flip-+ flip-- associate-/l/
+-commutative rem-sqrt-square clear-num associate-/r* neg-mul-1 sub-neg frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff neg-log prod-exp cbrt-unprod div-inv
Counts
4 → 90
Calls
4 calls:
16.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms
(- (* b b) (* (* 4 a) c))
46.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
17.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

series418.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
68.0ms
(- (* b b) (* (* 4 a) c))
135.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
137.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify2.8s

Counts
102 → 102
Iterations
IterNodes
34884
21349
1428
0162

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.2b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune48.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.2b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×add-cbrt-cube add-exp-log
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 55
Calls
2 calls:
15.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
8.0ms
(/ (* a c) b)

series52.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
22.0ms
(/ (* a c) b)

simplify28.6s

Counts
61 → 61
Iterations
IterNodes
315720
21763
1329
0111

prune434.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 5.2b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
cbrt-undiv div-exp
pow1 prod-exp cbrt-unprod
associate-*l* associate-/l*
expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
clear-num associate-/r* frac-2neg pow-prod-down associate-/r/ *-commutative
Counts
2 → 60
Calls
2 calls:
7.0ms
(* b (/ 2 c))
13.0ms
(/ -2 (* b (/ 2 c)))

series38.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* b (/ 2 c))
18.0ms
(/ -2 (* b (/ 2 c)))

simplify2.2s

Counts
66 → 66
Iterations
IterNodes
33517
2889
1266
0112

prune449.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 5.2b

regimes686.0ms

Accuracy

29.9% (4.8b remaining)

Error of 10.0b against oracle of 5.1b and baseline of 12.0b

bsearch5.0ms

simplify9.0ms

Iterations
IterNodes
240
140
030

end0.0ms

sample5.5s

Algorithm
intervals
Results
1.9s4818×body160valid
1.2s8344×body80nan
1.1s16344×pre80true
545.0ms1357×body320valid
289.0ms1825×body80valid