Details

Time bar (total: 24.7s)

sample144.0ms

Algorithm
intervals
Results
55.0ms157×body160valid
31.0ms294×body80nan
28.0ms550×pre80true
11.0ms99×body80valid

simplify121.0ms

Counts
1 → 1
Iterations
IterNodes
done93
793
692
590
482
366
240
121
012

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b b) (* (* 3 a) c))
0.3b
(* (* 3 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
29.1b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
164×add-sqr-sqrt
82×*-un-lft-identity
72×times-frac
45×associate-*l*
43×difference-of-squares
42×add-cube-cbrt
29×unswap-sqr
27×associate-*r*
20×distribute-lft-out--
14×add-cbrt-cube add-exp-log sqrt-prod
12×associate-/r* *-commutative
9×pow1
8×add-log-exp
6×associate-/l*
4×prod-exp cbrt-unprod insert-posit16
3×flip3-- swap-sqr pow-prod-down flip--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×clear-num frac-2neg div-sub div-inv
Counts
4 → 190
Calls
4 calls:
83.0ms
(- (* b b) (* (* 3 a) c))
29.0ms
(* (* 3 a) c)
1.3s
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
671.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series355.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (* b b) (* (* 3 a) c))
35.0ms
(* (* 3 a) c)
147.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
111.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify2.1s

Counts
202 → 202
Iterations
IterNodes
done5001
22631
1815
0280

prune927.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.8b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune95.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 9.8b

localize29.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite313.0ms

Algorithm
rewrite-expression-head
Rules
1180×times-frac
860×associate-*r*
853×add-sqr-sqrt
531×*-un-lft-identity
527×add-cube-cbrt
344×associate-*l*
156×unswap-sqr
114×*-commutative
91×associate-/l*
49×add-cbrt-cube add-exp-log
36×associate-*r/
21×associate-/r* associate-/l/
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp div-inv
6×clear-num un-div-inv
5×pow1
4×frac-2neg
3×insert-posit16 add-log-exp
1×pow-prod-down
Counts
3 → 872
Calls
3 calls:
34.0ms
(/ (* a c) b)
51.0ms
(* -3/2 (/ (* a c) b))
146.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series135.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (* a c) b)
60.0ms
(* -3/2 (/ (* a c) b))
37.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify2.7s

Counts
881 → 881
Iterations
IterNodes
done5001
14384
01227

prune4.1s

Pruning

51 alts after pruning (51 fresh and 0 done)

Merged error: 9.7b

localize31.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (* -3/2 a) (/ c b))
0.4b
(/ (* (* -3/2 a) (/ c b)) (* 3 a))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
562×times-frac
530×add-sqr-sqrt
329×associate-*r*
315×associate-*l*
266×*-un-lft-identity
264×add-cube-cbrt
133×unswap-sqr
63×*-commutative
55×add-cbrt-cube add-exp-log
42×associate-/l*
23×prod-exp cbrt-unprod
18×associate-/r* associate-*r/
16×cbrt-undiv div-exp
15×div-inv
11×associate-/l/
7×pow1
5×clear-num
4×un-div-inv
3×frac-2neg pow-prod-down
2×insert-posit16 add-log-exp
Counts
2 → 555
Calls
2 calls:
41.0ms
(* (* -3/2 a) (/ c b))
124.0ms
(/ (* (* -3/2 a) (/ c b)) (* 3 a))

series55.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (* -3/2 a) (/ c b))
24.0ms
(/ (* (* -3/2 a) (/ c b)) (* 3 a))

simplify1.8s

Counts
561 → 561
Iterations
IterNodes
done5001
12998
0840

prune2.4s

Pruning

50 alts after pruning (50 fresh and 0 done)

Merged error: 9.7b

regimes1.7s

Accuracy

45.7% (7.4b remaining)

Error of 16.4b against oracle of 9.0b and baseline of 22.6b

bsearch39.0ms

Steps
ItersRangePoint
3
172.2552017259038
209.02696225458826
174.55343675894656

simplify5.0ms

Iterations
IterNodes
done35
135
025

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.5s16640×pre80true
1.2s8640×body80nan
1.2s4501×body160valid
495.0ms3499×body80valid