Details

Time bar (total: 5.4s)

sample51.0ms

Algorithm
intervals
Results
12.0ms509×pre80true
10.0ms155×body160valid
7.0ms253×body80nan
4.0ms44×body320valid
2.0ms57×body80valid

simplify45.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01217
12117
24116
37616
49016
59816
done9816

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.7b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×times-frac associate-/l*
4×prod-exp cbrt-unprod
3×distribute-rgt-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
2.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(* (* 3.0 a) c)
35.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
11.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series253.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* b b) (* (* 3.0 a) c))
20.0ms
(* (* 3.0 a) c)
105.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
80.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify584.0ms

Counts
85 → 85
Iterations

Useful iterations: done (581.0ms)

IterNodesCost
01541437
14261361
217741139
done50011138

prune211.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.6b

localize3.0ms

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

prune22.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.6b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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)
10.0ms
(* -1.5 (/ (* a c) b))
8.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series67.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
27.0ms
(* -1.5 (/ (* a c) b))
21.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify938.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
01231086
13881045
22299761
done5001761

prune154.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 4.5b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log add-cbrt-cube
14×prod-exp cbrt-unprod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×cbrt-undiv times-frac div-exp associate-*r*
9×pow1
8×sqrt-div
7×associate-/r* sqrt-prod
6×associate-*r/
4×div-inv add-log-exp
3×frac-2neg pow-prod-down clear-num associate-/l/ associate-/l*
2×frac-times associate-*l/
1×associate-*l* *-commutative
Counts
4 → 98
Calls
4 calls:
3.0ms
(/ (* a c) b)
3.0ms
(/ (* a c) b)
29.0ms
(/ (* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3.0 a))
28.0ms
(* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* a c) b)
19.0ms
(/ (* a c) b)
44.0ms
(/ (* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3.0 a))
69.0ms
(* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))

simplify773.0ms

Counts
110 → 110
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
01391728
14081260
22373948
done5000948

prune199.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 4.5b

regimes350.0ms

Accuracy

11.9% (6.1b remaining)

Error of 11.1b against oracle of 5.0b and baseline of 11.9b

bsearch38.0ms

Steps
ItersRangePoint
5
0.0011077199212087946
0.0025374168580646183
0.0016942696596177942

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02340
12640
done2640

end0.0ms

sample1.4s

Algorithm
intervals
Results
304.0ms4830×body160valid
299.0ms16360×pre80true
249.0ms8360×body80nan
132.0ms1361×body320valid
57.0ms1809×body80valid