Details

Time bar (total: 31.5s)

sample108.0ms

Algorithm
intervals
Results
23.0ms121×body320valid
17.0ms272×body80nan
16.0ms528×pre80true
11.0ms85×body160valid
5.0ms18×body640valid
2.0ms32×body80valid

simplify128.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.5b

localize17.0ms

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)

rewrite184.0ms

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))
92.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
22.0ms
(* (* 3.0 a) c)
54.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series365.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (* b b) (* (* 3.0 a) c))
159.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
22.0ms
(* (* 3.0 a) c)
123.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.8s

Counts
164 → 164
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02873955
16893815
220923647
done50003641

prune663.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.7b

localize8.0ms

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

prune69.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.7b

localize26.0ms

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))

rewrite147.0ms

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:
16.0ms
(/ (* a c) b)
51.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
39.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
37.0ms
(* -1.5 (/ (* a c) b))

series113.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* a c) b)
28.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
31.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
32.0ms
(* -1.5 (/ (* a c) b))

simplify1.2s

Counts
138 → 138
Iterations

Useful iterations: 2 (412.0ms)

IterNodesCost
01921856
14821786
218221478
done50011478

prune422.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.6b

localize13.0ms

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))

rewrite841.0ms

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:
36.0ms
(/ a (/ (/ (* a c) b) (sqrt 3.0)))
163.0ms
(/ (/ -1.5 (sqrt 3.0)) (/ a (/ (/ (* a c) b) (sqrt 3.0))))
19.0ms
(/ (/ (* a c) b) (sqrt 3.0))
10.0ms
(/ -1.5 (sqrt 3.0))

series501.0ms

Counts
4 → 10
Calls
4 calls:
90.0ms
(/ a (/ (/ (* a c) b) (sqrt 3.0)))
288.0ms
(/ (/ -1.5 (sqrt 3.0)) (/ a (/ (/ (* a c) b) (sqrt 3.0))))
123.0ms
(/ (/ (* a c) b) (sqrt 3.0))
0.0ms
(/ -1.5 (sqrt 3.0))

simplify3.3s

Counts
3670 → 3670
Iterations

Useful iterations: done (3.0s)

IterNodesCost
04392129082
done5000122067

prune16.9s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 2.6b

regimes537.0ms

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

sample4.2s

Algorithm
intervals
Results
1.0s16319×pre80true
1.0s3602×body320valid
676.0ms8319×body80nan
490.0ms2899×body160valid
166.0ms515×body640valid
61.0ms984×body80valid