Details

Time bar (total: 12.9s)

sample111.0ms

Algorithm
intervals
Results
29.0ms262×body80nan
20.0ms113×body320valid
14.0ms518×pre80true
12.0ms106×body160valid
2.0msbody640valid
1.0ms29×body80valid

simplify97.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01217
12117
24116
37616
49616
510416
done10416

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
0.3b
(* (* 3.0 a) c)
30.6b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite349.0ms

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:
116.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
116.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
36.0ms
(* (* 3.0 a) c)
60.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series458.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
165.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
31.0ms
(* (* 3.0 a) c)
125.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.7s

Counts
194 → 194
Iterations

Useful iterations: 2 (557.0ms)

IterNodesCost
02874775
17114627
233074429
done50004429

prune838.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.5b

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

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.5b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:
13.0ms
(/ (* a c) b)
25.0ms
(/ (* -0.5 (/ (* a c) b)) a)

series71.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (* a c) b)
26.0ms
(/ (* -0.5 (/ (* a c) b)) a)

simplify961.0ms

Counts
53 → 53
Iterations

Useful iterations: done (959.0ms)

IterNodesCost
097568
1278547
21931449
done5000435

prune210.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* -0.5 (* (* a c) (/ 1 b))) a)
0.3b
(* (* a c) (/ 1 b))

rewrite135.0ms

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*
un-div-inv div-inv associate-/l/ add-log-exp
frac-2neg associate-*l* clear-num *-commutative associate-/l*
Counts
2 → 73
Calls
2 calls:
104.0ms
(/ (* -0.5 (* (* a c) (/ 1 b))) a)
27.0ms
(* (* a c) (/ 1 b))

series69.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (* -0.5 (* (* a c) (/ 1 b))) a)
24.0ms
(* (* a c) (/ 1 b))

simplify2.7s

Counts
79 → 79
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01491029
1475924
23300647
done5001633

prune129.0ms

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 2.5b

regimes407.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.4s3691×body320valid
1.0s8111×body80nan
601.0ms16111×pre80true
475.0ms2933×body160valid
175.0ms480×body640valid
98.0ms896×body80valid