Details

Time bar (total: 18.1s)

sample137.0ms

Algorithm
intervals
Results
29.0ms98×body160valid
25.0ms119×body320valid
18.0ms252×body80nan
17.0ms508×pre80true
6.0ms20×body640valid
1.0ms19×body80valid

simplify120.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 54.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
27.2b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite169.0ms

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:
8.0ms
(- (* b b) (* (* 3.0 a) c))
105.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
26.0ms
(* (* 3.0 a) c)
28.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series385.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(- (* b b) (* (* 3.0 a) c))
175.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
36.0ms
(* (* 3.0 a) c)
115.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.6s

Counts
85 → 85
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01541437
14101361
215491139
done50011125

prune248.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* a c) 3.0)
0.3b
(* 3.0 (* a c))
0.3b
(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
0.3b
(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite292.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down associate-/r/
4×associate-*r* associate-*l* div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
18.0ms
(* (* a c) 3.0)
18.0ms
(* 3.0 (* a c))
94.0ms
(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
155.0ms
(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

series568.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (* a c) 3.0)
36.0ms
(* 3.0 (* a c))
281.0ms
(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
226.0ms
(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

simplify2.3s

Counts
169 → 169
Iterations

Useful iterations: 2 (872.0ms)

IterNodesCost
02424718
16054240
224353862
done50013862

prune696.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (* a c))
0.3b
(/ (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (/ 1 (/ (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))) (* (* 3.0 a) c))) (* 3.0 a))

rewrite453.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
132×add-exp-log
76×add-sqr-sqrt *-un-lft-identity
68×add-cbrt-cube
63×div-exp
45×associate-/l*
44×add-cube-cbrt
40×prod-exp
27×cbrt-undiv
20×cbrt-unprod
16×distribute-lft-out-- difference-of-squares
14×pow1
10×div-inv
8×rec-exp distribute-rgt-neg-in 1-exp sqrt-prod
6×pow-prod-down
4×associate-*r* associate-*l* add-log-exp
3×associate-/l/
2×frac-2neg clear-num associate-/r* associate-/r/ *-commutative
1×flip3-- div-sub flip--
Counts
4 → 194
Calls
4 calls:
21.0ms
(* 3.0 (* a c))
135.0ms
(/ (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))) (* (* 3.0 a) c))
25.0ms
(* (* 3.0 a) c)
243.0ms
(/ (/ 1 (/ (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))) (* (* 3.0 a) c))) (* 3.0 a))

series409.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 3.0 (* a c))
163.0ms
(/ (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))) (* (* 3.0 a) c))
34.0ms
(* (* 3.0 a) c)
189.0ms
(/ (/ 1 (/ (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))) (* (* 3.0 a) c))) (* 3.0 a))

simplify2.5s

Counts
206 → 206
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
03615707
19295402
234424190
done50014190

prune524.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (* a c))
0.3b
(* a (* c 3.0))
0.3b
(/ (+ 0 (* a (* c 3.0))) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
0.3b
(/ (/ (+ 0 (* a (* c 3.0))) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite362.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*l* pow-prod-down associate-/r/
4×div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg associate-*r* clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
33.0ms
(* 3.0 (* a c))
32.0ms
(* a (* c 3.0))
147.0ms
(/ (+ 0 (* a (* c 3.0))) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
136.0ms
(/ (/ (+ 0 (* a (* c 3.0))) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

series596.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 3.0 (* a c))
21.0ms
(* a (* c 3.0))
273.0ms
(/ (+ 0 (* a (* c 3.0))) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
259.0ms
(/ (/ (+ 0 (* a (* c 3.0))) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

simplify1.7s

Counts
169 → 169
Iterations

Useful iterations: 2 (810.0ms)

IterNodesCost
02474715
16254239
225613861
done50003861

prune638.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01925
12523
done2523

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.0s3642×body320valid
892.0ms2942×body160valid
714.0ms16254×pre80true
634.0ms8254×body80nan
124.0ms516×body640valid
87.0ms900×body80valid