Details

Time bar (total: 17.7s)

sample127.0ms

Algorithm
intervals
Results
23.0ms135×body160valid
21.0ms250×body80nan
20.0ms506×pre80true
12.0ms48×body320valid
6.0ms73×body80valid

simplify107.0ms

Counts
1 → 1
Iterations
IterNodes
done104
5104
496
376
241
121
012

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 41.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
34.3b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-cbrt-cube add-exp-log
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×neg-sub0 cbrt-undiv sum-log flip3-+ div-exp associate-+l- flip-+ associate-/l/
1×+-commutative clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log div-sub associate-*l* neg-log *-commutative div-inv flip--
Counts
4 → 73
Calls
4 calls:
12.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
82.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series411.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (* b b) (* (* 3.0 a) c))
41.0ms
(* (* 3.0 a) c)
165.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
130.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.5s

Counts
85 → 85
Iterations
IterNodes
done5000
22625
1437
0154

prune424.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-cbrt-cube add-exp-log
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×associate-/r* prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*l* pow-prod-down associate-/r/
4×div-inv add-log-exp
3×flip3-- div-sub flip-- associate-/l/
2×clear-num frac-2neg associate-*r* *-commutative associate-+l-
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
16.0ms
(* c (* a 3.0))
13.0ms
(* c (* a 3.0))
113.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
166.0ms
(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (* 3.0 a))

series460.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* c (* a 3.0))
28.0ms
(* c (* a 3.0))
248.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
163.0ms
(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (* 3.0 a))

simplify1.8s

Counts
171 → 171
Iterations
IterNodes
done5001
23302
1652
0246

prune876.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite346.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-cbrt-cube add-exp-log
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×associate-/r* prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*l* pow-prod-down associate-/r/
4×div-inv add-log-exp
3×flip3-- div-sub flip-- associate-/l/
2×clear-num frac-2neg associate-*r* *-commutative associate-+l-
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
13.0ms
(* 3.0 (* c a))
12.0ms
(* c (* a 3.0))
153.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* 3.0 (* c a))))))
162.0ms
(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* 3.0 (* c a)))))) (* 3.0 a))

series429.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 3.0 (* c a))
24.0ms
(* c (* a 3.0))
224.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* 3.0 (* c a))))))
159.0ms
(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* 3.0 (* c a)))))) (* 3.0 a))

simplify2.1s

Counts
171 → 171
Iterations
IterNodes
done5001
24031
1722
0269

prune961.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
19×pow1
16×associate-*l*
15×*-un-lft-identity
12×prod-exp cbrt-unprod
11×add-sqr-sqrt add-cube-cbrt
9×pow-prod-down
5×associate-*r*
4×distribute-lft-neg-in distribute-rgt-neg-in associate-*l/ distribute-neg-frac add-log-exp
3×cbrt-undiv flip3-+ times-frac div-exp *-commutative flip-+ associate-/l*
2×associate-/r/ distribute-lft-out associate-/l/
1×distribute-lft-neg-out clear-num associate-/r* neg-mul-1 frac-2neg div-sub associate-+l- div-inv
Counts
4 → 94
Calls
4 calls:
16.0ms
(* c (* a 3.0))
14.0ms
(* (* 3.0 a) c)
104.0ms
(* (- (+ b (sqrt (- (* b b) (* (* 3.0 a) c))))) (* a 3.0))
97.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (* (- (+ b (sqrt (- (* b b) (* (* 3.0 a) c))))) (* a 3.0)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* c (* a 3.0))
27.0ms
(* (* 3.0 a) c)
132.0ms
(* (- (+ b (sqrt (- (* b b) (* (* 3.0 a) c))))) (* a 3.0))
126.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (* (- (+ b (sqrt (- (* b b) (* (* 3.0 a) c))))) (* a 3.0)))

simplify2.0s

Counts
106 → 106
Iterations
IterNodes
done5002
23642
1563
0187

prune562.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes288.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done43
343
234
126
017

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.2s4805×body160valid
707.0ms1301×body320valid
686.0ms8148×body80nan
679.0ms16148×pre80true
163.0ms1894×body80valid