Details

Time bar (total: 5.2s)

sample53.0ms

Algorithm
intervals
Results
11.0ms297×body80nan
10.0ms163×body160valid
10.0ms553×pre80true
4.0ms39×body320valid
2.0ms54×body80valid

simplify41.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01217
12117
24116
37516
48716
59516
done9516

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
41.3b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-exp-log add-cbrt-cube
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
4 → 75
Calls
4 calls:
2.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(* (* 3.0 a) c)
36.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
18.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series249.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
108.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
78.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify630.0ms

Counts
87 → 87
Iterations

Useful iterations: done (627.0ms)

IterNodesCost
01551464
14021392
215861226
done50001225

prune228.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.9b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune36.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.9b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l*
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 78
Calls
3 calls:
3.0ms
(/ (* a c) b)
8.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))
8.0ms
(* -1.5 (/ (* a c) b))

series69.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/ (* a c) b)
20.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))
31.0ms
(* -1.5 (/ (* a c) b))

simplify595.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (163.0ms)

IterNodesCost
01231086
13771045
22010761
done5000761

prune172.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 4.9b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
70×times-frac
52×add-exp-log add-cbrt-cube
44×add-sqr-sqrt
39×add-cube-cbrt *-un-lft-identity
26×associate-*r*
22×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
11×associate-/r* div-inv
7×associate-/l*
6×pow1
4×add-log-exp
3×frac-2neg associate-*l* clear-num associate-/r/
2×associate-*r/ unswap-sqr
1×pow-prod-down *-commutative
Counts
4 → 146
Calls
4 calls:
3.0ms
(/ (* a c) b)
4.0ms
(/ 3.0 (/ (* a c) b))
9.0ms
(/ -1.5 (* a (/ 3.0 (/ (* a c) b))))
16.0ms
(* a (/ 3.0 (/ (* a c) b)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* a c) b)
28.0ms
(/ 3.0 (/ (* a c) b))
23.0ms
(/ -1.5 (* a (/ 3.0 (/ (* a c) b))))
19.0ms
(* a (/ 3.0 (/ (* a c) b)))

simplify831.0ms

Counts
158 → 158
Iterations

Useful iterations: 2 (324.0ms)

IterNodesCost
02121969
15521883
223691447
done50011447

prune277.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 4.8b

regimes353.0ms

Accuracy

13.8% (6.1b remaining)

Error of 11.1b against oracle of 5.0b and baseline of 12.1b

bsearch43.0ms

Steps
ItersRangePoint
6
0.00017659738910379716
0.0013183985859660308
0.00017936624356974993

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02439
13039
done3039

end0.0ms

sample1.4s

Algorithm
intervals
Results
316.0ms4846×body160valid
287.0ms16153×pre80true
244.0ms8153×body80nan
127.0ms1342×body320valid
58.0ms1812×body80valid