Details

Time bar (total: 14.0s)

sample141.0ms

Algorithm
intervals
Results
43.0ms538×pre80true
24.0ms106×body320valid
20.0ms282×body80nan
15.0ms105×body160valid
6.0ms20×body640valid
2.0ms25×body80valid

simplify94.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.1b
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
0.3b
(* (* 3.0 a) c)
27.5b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite250.0ms

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:
16.0ms
(- (* b b) (* (* 3.0 a) c))
115.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
24.0ms
(* (* 3.0 a) c)
81.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series341.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (* b b) (* (* 3.0 a) c))
150.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
22.0ms
(* (* 3.0 a) c)
112.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.7s

Counts
164 → 164
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02873955
16893815
220923647
done50003641

prune559.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.0b

localize5.0ms

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

prune37.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

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:
12.0ms
(/ (* a c) b)
21.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
37.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
45.0ms
(* -1.5 (/ (* a c) b))

series168.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (* a c) b)
56.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
39.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
36.0ms
(* -1.5 (/ (* a c) b))

simplify999.0ms

Counts
138 → 138
Iterations

Useful iterations: 2 (315.0ms)

IterNodesCost
01921856
14821786
218141478
done50001478

prune371.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (/ (/ (* a c) b) (cbrt 3.0)) a)
0.4b
(/ (/ (* a c) b) (cbrt 3.0))
0.4b
(* (/ -1.5 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (/ (* a c) b) (cbrt 3.0)) a))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
779×times-frac
347×add-sqr-sqrt
321×add-cube-cbrt *-un-lft-identity
173×cbrt-prod
142×associate-*r*
107×add-exp-log
82×add-cbrt-cube
61×div-inv
54×associate-/l*
53×cbrt-undiv div-exp
26×prod-exp cbrt-unprod
12×associate-/r*
8×unswap-sqr
7×associate-*l*
6×pow1
4×add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 498
Calls
4 calls:
15.0ms
(/ (* a c) b)
33.0ms
(/ (/ (/ (* a c) b) (cbrt 3.0)) a)
27.0ms
(/ (/ (* a c) b) (cbrt 3.0))
176.0ms
(* (/ -1.5 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (/ (* a c) b) (cbrt 3.0)) a))

series445.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (* a c) b)
105.0ms
(/ (/ (/ (* a c) b) (cbrt 3.0)) a)
150.0ms
(/ (/ (* a c) b) (cbrt 3.0))
152.0ms
(* (/ -1.5 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (/ (* a c) b) (cbrt 3.0)) a))

simplify1.4s

Counts
510 → 510
Iterations

Useful iterations: done (1.4s)

IterNodesCost
066110235
120079610
done50009008

prune2.0s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 3.0b

regimes447.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.1s16215×pre80true
1.0s8215×body80nan
1.0s3704×body320valid
586.0ms2939×body160valid
205.0ms462×body640valid
62.0ms895×body80valid