Details

Time bar (total: 13.8s)

sample107.0ms

Algorithm
intervals
Results
32.0ms510×pre80true
18.0ms134×body160valid
18.0ms254×body80nan
8.0ms122×body80valid

simplify120.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01217
12117
24116
37616
49616
510416
done10416

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
0.3b
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
27.7b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite426.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
147×add-sqr-sqrt
113×*-un-lft-identity
79×add-cube-cbrt
34×difference-of-squares
28×associate-/l*
17×sqrt-prod distribute-lft-out--
16×add-exp-log add-cbrt-cube
pow1
associate-/r* div-inv add-log-exp
cbrt-undiv div-exp
div-sub associate-*r* pow-prod-down prod-exp cbrt-unprod associate-/l/
flip3-- frac-2neg clear-num flip--
sub-neg diff-log associate-*l* *-commutative
Counts
4 → 182
Calls
4 calls:
36.0ms
(* (* 3.0 a) c)
165.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
152.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
51.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series398.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* 3.0 a) c)
115.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
144.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
101.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.0s

Counts
194 → 194
Iterations

Useful iterations: 2 (724.0ms)

IterNodesCost
02874775
17104627
233324421
done50024421

prune744.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 8.8b

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

prune85.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 8.8b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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)
10.0ms
(/ (* a c) b)

series60.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* -0.5 (/ (* a c) b)) a)
31.0ms
(/ (* a c) b)

simplify1.2s

Counts
53 → 53
Iterations

Useful iterations: done (1.2s)

IterNodesCost
097568
1278547
21927453
done5000435

prune221.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 8.7b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite131.0ms

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:
20.0ms
(/ (* a c) b)
104.0ms
(* (* -0.5 (/ (* a c) b)) (/ 1 a))

series50.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* a c) b)
26.0ms
(* (* -0.5 (/ (* a c) b)) (/ 1 a))

simplify3.7s

Counts
79 → 79
Iterations

Useful iterations: done (3.7s)

IterNodesCost
01421068
1465953
23354716
done5000674

prune163.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 8.7b

regimes602.0ms

Accuracy

45.5% (7.5b remaining)

Error of 16.5b against oracle of 9.0b and baseline of 22.7b

bsearch3.0ms

Steps
ItersRangePoint
0
179.50531543185843
186.86338126885656
183.18434835035748

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02039
12439
done2439

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.3s16259×pre80true
703.0ms8259×body80nan
702.0ms4477×body160valid
291.0ms3523×body80valid