Details

Time bar (total: 14.9s)

sample88.0ms

Algorithm
intervals
Results
16.0ms534×pre80true
14.0ms146×body160valid
14.0ms278×body80nan
6.0ms110×body80valid

simplify123.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
30.0b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite143.0ms

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:
9.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
89.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series390.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (* b b) (* (* 3.0 a) c))
34.0ms
(* (* 3.0 a) c)
144.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
131.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.5s

Counts
85 → 85
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01541437
14101361
215471139
done50001125

prune289.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite305.0ms

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:
93.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* (* 3.0 a) c)
17.0ms
(* 3.0 (* a c))
157.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series598.0ms

Counts
4 → 12
Calls
4 calls:
317.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
30.0ms
(* (* 3.0 a) c)
30.0ms
(* 3.0 (* a c))
220.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.8s

Counts
169 → 169
Iterations

Useful iterations: 2 (717.0ms)

IterNodesCost
02434718
16034240
225923862
done50013862

prune565.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite315.0ms

Algorithm
rewrite-expression-head
Rules
712×times-frac
331×add-exp-log
249×add-sqr-sqrt *-un-lft-identity
211×div-exp
185×add-cube-cbrt
139×add-cbrt-cube
86×prod-exp
69×cbrt-undiv
51×div-inv
48×associate-/r/
45×1-exp
36×cbrt-unprod
32×distribute-lft-out-- difference-of-squares
31×associate-/r*
18×rec-exp
16×flip3-- distribute-rgt-neg-in sqrt-prod flip--
14×pow1 associate-/l*
6×associate-*r* pow-prod-down
4×add-log-exp
2×frac-2neg associate-*l* clear-num *-commutative
1×associate-/l/
Counts
4 → 448
Calls
4 calls:
120.0ms
(/ (/ 1 1) (/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
19.0ms
(* (* 3.0 a) c)
21.0ms
(* (* 3.0 a) c)
103.0ms
(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series426.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(/ (/ 1 1) (/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
41.0ms
(* (* 3.0 a) c)
34.0ms
(* (* 3.0 a) c)
115.0ms
(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify2.6s

Counts
460 → 460
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
064818857
1160415822
2405513816
done500213816

prune601.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
19×add-sqr-sqrt *-un-lft-identity
12×prod-exp cbrt-unprod
10×cbrt-undiv div-exp add-log-exp
9×pow1
7×add-cube-cbrt times-frac associate-/r*
6×distribute-lft-out-- difference-of-squares
3×flip3-- distribute-rgt-neg-in diff-log associate-*r* pow-prod-down sqrt-prod flip--
2×sub-neg associate-/r/
1×associate--l- neg-sub0 frac-2neg associate-*l* neg-log associate-*l/ clear-num *-commutative div-inv associate-/l/ associate-/l*
Counts
4 → 88
Calls
4 calls:
112.0ms
(/ (* (/ (* 3.0 a) (* 3.0 a)) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
38.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
9.0ms
(- (* b b) (* (* 3.0 a) c))
26.0ms
(* (* 3.0 a) c)

series448.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(/ (* (/ (* 3.0 a) (* 3.0 a)) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
102.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
80.0ms
(- (* b b) (* (* 3.0 a) c))
35.0ms
(* (* 3.0 a) c)

simplify1.8s

Counts
100 → 100
Iterations

Useful iterations: 2 (690.0ms)

IterNodesCost
01892200
15231809
222891410
done50001410

prune227.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes221.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01939
12339
done2339

end0.0ms

sample2.2s

Algorithm
intervals
Results
440.0ms16436×pre80true
433.0ms4474×body160valid
380.0ms8436×body80nan
171.0ms3526×body80valid