Details

Time bar (total: 32.8s)

sample119.0ms

Algorithm
intervals
Results
28.0ms121×body320valid
20.0ms272×body80nan
20.0ms528×pre80true
13.0ms85×body160valid
6.0ms18×body640valid
2.0ms32×body80valid

simplify133.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
0.3b
(* (* 3.0 a) c)
25.7b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
120×add-sqr-sqrt
94×*-un-lft-identity
68×add-cube-cbrt
26×difference-of-squares
22×associate-/l*
14×add-exp-log add-cbrt-cube
13×sqrt-prod distribute-lft-out--
9×pow1
8×add-log-exp
5×div-inv
3×cbrt-undiv div-exp associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
2×sub-neg flip3-- diff-log div-sub flip--
1×frac-2neg associate-*l* clear-num *-commutative associate-/l/
Counts
4 → 152
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3.0 a) c))
129.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
37.0ms
(* (* 3.0 a) c)
60.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series364.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (* b b) (* (* 3.0 a) c))
150.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
25.0ms
(* (* 3.0 a) c)
126.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.7s

Counts
164 → 164
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02873955
16893815
220923647
done50003641

prune748.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.7b

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

prune57.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* a c) b)
0.2b
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
0.3b
(/ (* -1.5 (/ (* a c) b)) 3.0)
0.3b
(* -1.5 (/ (* a c) b))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log add-cbrt-cube
42×times-frac
29×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
21×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
9×associate-/r* associate-/l*
8×div-inv
7×associate-*r*
6×pow1
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 126
Calls
4 calls:
10.0ms
(/ (* a c) b)
28.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
20.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
34.0ms
(* -1.5 (/ (* a c) b))

series163.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (* a c) b)
43.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
41.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
43.0ms
(* -1.5 (/ (* a c) b))

simplify1.0s

Counts
138 → 138
Iterations

Useful iterations: 2 (340.0ms)

IterNodesCost
01921856
14821786
218221478
done50011478

prune377.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ a (/ (/ (* a c) b) (sqrt 3.0)))
0.4b
(/ (/ -1.5 (sqrt 3.0)) (/ a (/ (/ (* a c) b) (sqrt 3.0))))
0.4b
(/ (/ (* a c) b) (sqrt 3.0))
1.0b
(/ -1.5 (sqrt 3.0))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
13511×times-frac
5020×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2865×sqrt-prod
689×div-inv
201×associate-/r*
74×add-exp-log add-cbrt-cube
48×cbrt-undiv div-exp
35×associate-/l*
25×associate-/r/
4×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
2×associate-/l/
Counts
4 → 3660
Calls
4 calls:
51.0ms
(/ a (/ (/ (* a c) b) (sqrt 3.0)))
200.0ms
(/ (/ -1.5 (sqrt 3.0)) (/ a (/ (/ (* a c) b) (sqrt 3.0))))
30.0ms
(/ (/ (* a c) b) (sqrt 3.0))
13.0ms
(/ -1.5 (sqrt 3.0))

series520.0ms

Counts
4 → 10
Calls
4 calls:
102.0ms
(/ a (/ (/ (* a c) b) (sqrt 3.0)))
260.0ms
(/ (/ -1.5 (sqrt 3.0)) (/ a (/ (/ (* a c) b) (sqrt 3.0))))
157.0ms
(/ (/ (* a c) b) (sqrt 3.0))
0.0ms
(/ -1.5 (sqrt 3.0))

simplify3.5s

Counts
3670 → 3670
Iterations

Useful iterations: done (3.1s)

IterNodesCost
04392129082
done5000122067

prune17.7s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 2.6b

regimes549.0ms

Accuracy

0% (3.7b remaining)

Error of 6.4b against oracle of 2.6b and baseline of 6.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.3s

Algorithm
intervals
Results
954.0ms2899×body160valid
821.0ms8319×body80nan
812.0ms16319×pre80true
810.0ms3602×body320valid
226.0ms515×body640valid
115.0ms984×body80valid