Details

Time bar (total: 16.3s)

sample132.0ms

Algorithm
intervals
Results
33.0ms541×pre80true
23.0ms111×body320valid
18.0ms285×body80nan
13.0ms98×body160valid
4.0ms17×body640valid
2.0ms30×body80valid

simplify89.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.1b

localize19.0ms

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)
27.0b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite162.0ms

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))
103.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms
(* (* 3.0 a) c)
24.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series372.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (* b b) (* (* 3.0 a) c))
131.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
26.0ms
(* (* 3.0 a) c)
136.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.5s

Counts
85 → 85
Iterations
IterNodes
done5000
22584
1437
0154

prune397.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

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))

rewrite344.0ms

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:
12.0ms
(* c (* a 3.0))
21.0ms
(* c (* a 3.0))
150.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
154.0ms
(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (* 3.0 a))

series455.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* c (* a 3.0))
33.0ms
(* c (* a 3.0))
232.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
157.0ms
(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (* 3.0 a))

simplify1.5s

Counts
171 → 171
Iterations
IterNodes
done5001
23302
1652
0246

prune847.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (* c a))
0.3b
(* 3.0 (* c a))
0.4b
(/ (* a 3.0) (sqrt (* 3.0 (* c a))))
0.4b
(/ (/ (sqrt (+ (- (* b b) (* b b)) (* c (* a 3.0)))) 1) (* (/ (* a 3.0) (sqrt (* 3.0 (* c a)))) (- (+ b (sqrt (- (* b b) (* 3.0 (* c a))))))))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log
62×times-frac
51×add-cbrt-cube
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
28×div-exp
23×associate-/l*
20×sqrt-prod
19×prod-exp
18×cbrt-undiv
15×cbrt-unprod
14×pow1
6×associate-*l* pow-prod-down
5×associate-/r* associate-/r/
4×1-exp div-inv distribute-neg-frac add-log-exp
2×frac-times clear-num frac-2neg flip3-+ associate-*r* associate-*r/ *-commutative flip-+
1×associate-*l/ associate-/l/
Counts
4 → 140
Calls
4 calls:
17.0ms
(* 3.0 (* c a))
24.0ms
(* 3.0 (* c a))
31.0ms
(/ (* a 3.0) (sqrt (* 3.0 (* c a))))
184.0ms
(/ (/ (sqrt (+ (- (* b b) (* b b)) (* c (* a 3.0)))) 1) (* (/ (* a 3.0) (sqrt (* 3.0 (* c a)))) (- (+ b (sqrt (- (* b b) (* 3.0 (* c a))))))))

series762.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* c a))
34.0ms
(* 3.0 (* c a))
301.0ms
(/ (* a 3.0) (sqrt (* 3.0 (* c a))))
402.0ms
(/ (/ (sqrt (+ (- (* b b) (* b b)) (* c (* a 3.0)))) 1) (* (/ (* a 3.0) (sqrt (* 3.0 (* c a)))) (- (+ b (sqrt (- (* b b) (* 3.0 (* c a))))))))

simplify496.0ms

Counts
152 → 152
Iterations
IterNodes
done5000
1930
0302

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
19×pow1
12×prod-exp cbrt-unprod
9×add-sqr-sqrt *-un-lft-identity pow-prod-down add-cube-cbrt
7×associate-*l*
5×associate-*r*
4×associate-*l/ associate-*r/ distribute-neg-frac add-log-exp
3×cbrt-undiv flip3-+ times-frac div-exp *-commutative flip-+ associate-/l*
2×associate-/r/ associate-/l/
1×distribute-lft-neg-out clear-num associate-/r* frac-2neg div-sub distribute-rgt-neg-out associate-+l- div-inv
Counts
4 → 85
Calls
4 calls:
12.0ms
(* c (* a 3.0))
110.0ms
(* (* a (- (+ b (sqrt (- (* b b) (* 3.0 (* c a))))))) 3.0)
26.0ms
(* 3.0 (* c a))
171.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (* (* a (- (+ b (sqrt (- (* b b) (* 3.0 (* c a))))))) 3.0))

series446.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* c (* a 3.0))
206.0ms
(* (* a (- (+ b (sqrt (- (* b b) (* 3.0 (* c a))))))) 3.0)
33.0ms
(* 3.0 (* c a))
173.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (* (* a (- (+ b (sqrt (- (* b b) (* 3.0 (* c a))))))) 3.0))

simplify1.7s

Counts
97 → 97
Iterations
IterNodes
done5000
23560
1558
0181

prune448.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes289.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done27
227
126
016

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.4s3689×body320valid
725.0ms16160×pre80true
713.0ms8160×body80nan
466.0ms2882×body160valid
195.0ms533×body640valid
62.0ms896×body80valid