Details

Time bar (total: 18.0s)

sample146.0ms

Algorithm
intervals
Results
48.0ms147×body160valid
22.0ms268×body80nan
20.0ms524×pre80true
9.0ms109×body80valid

simplify130.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01217
12117
24116
37616
49616
510416
done10416

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.3b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
29.3b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
11×add-exp-log add-cbrt-cube
10×difference-of-squares
pow1
add-log-exp
associate-/l*
sqrt-prod distribute-lft-out--
flip3-- associate-*r* pow-prod-down prod-exp associate-/r* flip-- cbrt-unprod
sub-neg diff-log associate-/l/
cbrt-undiv frac-2neg div-sub div-exp associate-*l* clear-num *-commutative div-inv
Counts
4 → 87
Calls
4 calls:
15.0ms
(- (* b b) (* (* 3.0 a) c))
40.0ms
(* (* 3.0 a) c)
166.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
96.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series400.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (* b b) (* (* 3.0 a) c))
38.0ms
(* (* 3.0 a) c)
151.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
132.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.8s

Counts
99 → 99
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01631756
14201678
219771552
done50001550

prune771.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.4b

localize20.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* -0.5 (/ (* a c) b)) a)
0.3b
(/ (* a c) b)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
cbrt-undiv div-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
prod-exp cbrt-unprod
pow1 frac-2neg clear-num div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 47
Calls
2 calls:
38.0ms
(/ (* -0.5 (/ (* a c) b)) a)
19.0ms
(/ (* a c) b)

series83.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (* -0.5 (/ (* a c) b)) a)
45.0ms
(/ (* a c) b)

simplify2.1s

Counts
53 → 53
Iterations

Useful iterations: done (2.1s)

IterNodesCost
097568
1278547
21927453
done5000435

prune494.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 9.2b

localize15.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune213.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 9.2b

localize23.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.4b
(* (* -0.5 (/ (* a c) b)) (/ 1 a))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
39×add-cbrt-cube
33×prod-exp
18×div-exp
17×cbrt-unprod
13×associate-*r*
12×times-frac
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×cbrt-undiv
pow1
rec-exp 1-exp
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 → 73
Calls
2 calls:
21.0ms
(/ (* a c) b)
117.0ms
(* (* -0.5 (/ (* a c) b)) (/ 1 a))

series82.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (* a c) b)
41.0ms
(* (* -0.5 (/ (* a c) b)) (/ 1 a))

simplify4.9s

Counts
79 → 79
Iterations

Useful iterations: done (4.9s)

IterNodesCost
01421068
1465953
23354716
done5000674

prune299.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 9.2b

regimes1.1s

Accuracy

47.6% (7.1b remaining)

Error of 16.2b against oracle of 9.1b and baseline of 22.6b

bsearch18.0ms

Steps
ItersRangePoint
1
2072.9094558881025
2318.0727950651285
2134.2002906823586

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02139
12639
done2639

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.5s4506×body160valid
937.0ms8620×body80nan
842.0ms16620×pre80true
482.0ms3494×body80valid