Details

Time bar (total: 22.7s)

sample138.0ms

Algorithm
intervals
Results
27.0ms162×body160valid
21.0ms267×body80nan
21.0ms523×pre80true
12.0ms49×body320valid
11.0ms45×body80valid

simplify167.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01217
12117
24116
37616
49616
510416
done10416

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.9b

localize37.0ms

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))
41.0b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite242.0ms

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:
15.0ms
(- (* b b) (* (* 3.0 a) c))
31.0ms
(* (* 3.0 a) c)
137.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
56.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series446.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (* b b) (* (* 3.0 a) c))
46.0ms
(* (* 3.0 a) c)
187.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
137.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.9s

Counts
85 → 85
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01541437
14371361
225441143
done50001133

prune476.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

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

rewrite357.0ms

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-*r* pow-prod-down associate-/r/
4×div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg associate-*l* clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
31.0ms
(* (* 3.0 a) c)
31.0ms
(* (* 3.0 a) c)
118.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
162.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series650.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* 3.0 a) c)
48.0ms
(* (* 3.0 a) c)
300.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
262.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify3.4s

Counts
169 → 169
Iterations

Useful iterations: done (3.4s)

IterNodesCost
02234721
15874243
238473883
done50023879

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

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)) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
0.4b
(/ (* (+ 0 (* (* 3.0 a) c)) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
40×add-cbrt-cube
37×add-sqr-sqrt
33×associate-*r*
31×*-un-lft-identity
24×times-frac
23×prod-exp
18×add-cube-cbrt
16×pow1 div-exp
15×cbrt-unprod
9×cbrt-undiv
7×pow-prod-down
6×associate-/l/ distribute-lft-out-- difference-of-squares
5×associate-*l*
4×frac-times flip3-+ associate-*l/ flip-+ add-log-exp
3×rec-exp distribute-rgt-neg-in 1-exp sqrt-prod *-commutative unswap-sqr
2×associate-*r/ associate-/r/ un-div-inv div-inv
1×flip3-- frac-2neg clear-num associate-/r* flip-- associate-/l*
Counts
4 → 125
Calls
4 calls:
31.0ms
(* (* 3.0 a) c)
32.0ms
(* (* 3.0 a) c)
188.0ms
(* (+ 0 (* (* 3.0 a) c)) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
83.0ms
(/ (* (+ 0 (* (* 3.0 a) c)) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

series663.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* 3.0 a) c)
36.0ms
(* (* 3.0 a) c)
322.0ms
(* (+ 0 (* (* 3.0 a) c)) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
266.0ms
(/ (* (+ 0 (* (* 3.0 a) c)) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

simplify673.0ms

Counts
137 → 137
Iterations

Useful iterations: done (666.0ms)

IterNodesCost
02133216
16642633
done50002189

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite648.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
117×add-exp-log
109×add-sqr-sqrt
94×*-un-lft-identity
77×add-cbrt-cube
56×add-cube-cbrt
48×div-exp
44×associate-*r*
41×prod-exp
29×cbrt-undiv
25×cbrt-unprod
18×distribute-lft-out-- difference-of-squares
16×associate-*l* associate-/r/
14×associate-/l*
11×pow1 div-inv
10×associate-/r*
9×distribute-rgt-neg-in sqrt-prod
8×flip3-- flip--
6×unswap-sqr
5×rec-exp 1-exp
4×pow-prod-down add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 229
Calls
4 calls:
157.0ms
(/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
124.0ms
(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
32.0ms
(* 3.0 (* a c))
305.0ms
(* (/ 1 3.0) (/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series1.1s

Counts
4 → 12
Calls
4 calls:
317.0ms
(/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
384.0ms
(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
37.0ms
(* 3.0 (* a c))
319.0ms
(* (/ 1 3.0) (/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify995.0ms

Counts
241 → 241
Iterations

Useful iterations: done (978.0ms)

IterNodesCost
03297183
110916804
done50015756

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes498.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01727
12225
22325
done2325

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.5s4859×body160valid
916.0ms16401×pre80true
782.0ms8401×body80nan
611.0ms1362×body320valid
246.0ms1779×body80valid