Details

Time bar (total: 10.2s)

sample79.0ms

Algorithm
intervals
Results
18.0ms254×body80nan
13.0ms138×body160valid
12.0ms510×pre80true
6.0ms118×body80valid

simplify91.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01417
12417
24416
37916
49916
510716
done10716

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize13.0ms

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))
0.2b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
27.3b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
add-exp-log add-cbrt-cube
add-log-exp
add-cube-cbrt
times-frac sqrt-prod associate-/l* difference-of-squares
pow1
flip3-- flip--
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 → 72
Calls
4 calls:
11.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(- (* b b) (* (* 4.0 a) c))
102.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
53.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series447.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
72.0ms
(- (* b b) (* (* 4.0 a) c))
159.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
118.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.2s

Counts
84 → 84
Iterations

Useful iterations: 2 (301.0ms)

IterNodesCost
01541592
14051496
217831332
done50021332

prune279.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.7b

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

prune56.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.7b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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 frac-2neg clear-num div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
34.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
11.0ms
(/ (* a c) b)

series70.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
36.0ms
(/ (* a c) b)

simplify1.1s

Counts
57 → 57
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0107782
1346751
22499551
done5001523

prune196.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 8.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.4b
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
125×add-exp-log
69×prod-exp
61×add-cbrt-cube
32×div-exp
29×cbrt-unprod
16×cbrt-undiv
rec-exp 1-exp
pow1 associate-*r*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
associate-*r/ pow-prod-down associate-/r*
div-inv add-log-exp
frac-times frac-2neg associate-*l* associate-*l/ clear-num un-div-inv *-commutative associate-/l*
Counts
2 → 83
Calls
2 calls:
18.0ms
(/ (* a c) b)
99.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

series63.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (* a c) b)
34.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

simplify2.1s

Counts
89 → 89
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01581467
15391304
23566955
done5000887

prune118.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 8.6b

regimes632.0ms

Accuracy

45.4% (7.6b remaining)

Error of 16.7b against oracle of 9.1b and baseline of 23.0b

bsearch3.0ms

Steps
ItersRangePoint
0
179.50531543185843
186.86338126885656
183.18434835035748

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02755
13755
done3755

end0.0ms

sample3.3s

Algorithm
intervals
Results
985.0ms8395×body80nan
681.0ms16395×pre80true
660.0ms4473×body160valid
297.0ms3527×body80valid