Details

Time bar (total: 20.0s)

sample112.0ms

Algorithm
intervals
Results
20.0ms141×body160valid
19.0ms115×body80valid
19.0ms299×body80nan
17.0ms555×pre80true

simplify108.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* 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))
29.1b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite207.0ms

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:
14.0ms
(- (* b b) (* (* 3.0 a) c))
18.0ms
(* (* 3.0 a) c)
134.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
36.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series364.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (* b b) (* (* 3.0 a) c))
36.0ms
(* (* 3.0 a) c)
135.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
125.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.4s

Counts
85 → 85
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01541437
14101361
215471139
done50001125

prune280.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite315.0ms

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:
35.0ms
(* (* 3.0 a) c)
34.0ms
(* 3.0 (* a c))
141.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
91.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series548.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* 3.0 a) c)
21.0ms
(* 3.0 (* a c))
237.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
259.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify1.7s

Counts
169 → 169
Iterations

Useful iterations: 2 (704.0ms)

IterNodesCost
02434718
16034240
225723862
done50013862

prune653.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log add-cbrt-cube
34×times-frac
28×add-sqr-sqrt *-un-lft-identity
20×associate-/r*
19×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
14×pow1
12×add-cube-cbrt
8×distribute-lft-out-- difference-of-squares
7×associate-/r/
6×associate-*r* pow-prod-down
4×distribute-rgt-neg-in sqrt-prod div-inv add-log-exp
3×flip3-- flip--
2×frac-2neg associate-*l* clear-num *-commutative associate-/l*
Counts
4 → 123
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
24.0ms
(* (* 3.0 a) c)
94.0ms
(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
106.0ms
(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series462.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* 3.0 a) c)
31.0ms
(* (* 3.0 a) c)
146.0ms
(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
255.0ms
(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify1.7s

Counts
135 → 135
Iterations

Useful iterations: 2 (629.0ms)

IterNodesCost
01813191
14993065
227002433
done50002433

prune468.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.2b
(/ (/ 1 1) (/ (/ (* 3.0 a) (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)

rewrite679.0ms

Algorithm
rewrite-expression-head
Rules
6827×times-frac
2998×add-sqr-sqrt *-un-lft-identity
2154×add-cube-cbrt
604×div-inv
422×distribute-lft-out-- difference-of-squares
369×add-exp-log
282×div-exp
211×distribute-rgt-neg-in sqrt-prod
155×associate-/r/
140×associate-/r*
126×add-cbrt-cube
79×cbrt-undiv
72×flip3-- flip--
59×prod-exp
55×1-exp
22×rec-exp
19×cbrt-unprod
13×associate-/l*
10×add-log-exp
9×pow1
3×diff-log associate-*r* pow-prod-down
2×sub-neg
1×associate--l- neg-sub0 frac-2neg associate-*l* neg-log clear-num *-commutative associate-/l/
Counts
4 → 2132
Calls
4 calls:
40.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
122.0ms
(/ (/ 1 1) (/ (/ (* 3.0 a) (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
9.0ms
(- (* b b) (* (* 3.0 a) c))
33.0ms
(* (* 3.0 a) c)

series494.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
248.0ms
(/ (/ 1 1) (/ (/ (* 3.0 a) (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
81.0ms
(- (* b b) (* (* 3.0 a) c))
37.0ms
(* (* 3.0 a) c)

simplify2.3s

Counts
2144 → 2144
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02630115098
done500082080

prune3.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: done (3.0ms)

IterNodesCost
01725
12319
done2315

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.1s4511×body160valid
946.0ms16384×pre80true
639.0ms8384×body80nan
316.0ms3489×body80valid