Details

Time bar (total: 20.3s)

sample94.0ms

Algorithm
intervals
Results
26.0ms105×body320valid
12.0ms254×body80nan
12.0ms510×pre80true
12.0ms103×body160valid
3.0ms16×body640valid
2.0ms32×body80valid

simplify109.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01217
12117
24116
37616
49616
510416
done10416

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.8b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite199.0ms

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:
8.0ms
(- (* b b) (* (* 3.0 a) c))
32.0ms
(* (* 3.0 a) c)
114.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
43.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series342.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (* b b) (* (* 3.0 a) c))
28.0ms
(* (* 3.0 a) c)
144.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
112.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.1s

Counts
85 → 85
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01541437
14371361
225441143
done50001133

prune259.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(* (* 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))

rewrite278.0ms

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:
18.0ms
(* (* 3.0 a) c)
17.0ms
(* (* 3.0 a) c)
83.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
153.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series531.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* 3.0 a) c)
24.0ms
(* (* 3.0 a) c)
279.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
203.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify3.0s

Counts
169 → 169
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02234721
15874243
238473883
done50023879

prune586.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(* (* 3.0 a) c)
0.2b
(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
19×pow1
13×add-sqr-sqrt *-un-lft-identity associate-*r*
12×prod-exp cbrt-unprod
9×add-cube-cbrt pow-prod-down
4×associate-*r/ add-log-exp
3×cbrt-undiv times-frac div-exp associate-*l* *-commutative associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×distribute-rgt-neg-in frac-2neg flip3-+ clear-num associate-/r* sqrt-prod flip-+ div-inv
Counts
4 → 91
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
25.0ms
(* (* 3.0 a) c)
110.0ms
(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
99.0ms
(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series441.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* 3.0 a) c)
29.0ms
(* (* 3.0 a) c)
160.0ms
(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
231.0ms
(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify2.6s

Counts
103 → 103
Iterations

Useful iterations: 2 (583.0ms)

IterNodesCost
01481935
14501799
236371459
done50001459

prune415.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(* (* 3.0 a) (- b))
0.3b
(* (* 3.0 a) (- (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(/ (+ 0 (* (* 3.0 a) c)) (+ (* (* 3.0 a) (- b)) (* (* 3.0 a) (- (sqrt (- (* b b) (* (* 3.0 a) c)))))))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
29×associate-*r*
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×add-exp-log add-cbrt-cube
19×pow1
12×times-frac
9×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
6×sqrt-prod
4×associate-/r* distribute-lft-out add-log-exp
3×associate-*l* *-commutative associate-/l*
2×neg-mul-1 flip3-+ sqrt-div associate-*r/ associate-/r/ distribute-rgt-neg-out flip-+ associate-/l/ distribute-neg-frac
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
Counts
4 → 113
Calls
4 calls:
18.0ms
(* (* 3.0 a) c)
37.0ms
(* (* 3.0 a) (- b))
60.0ms
(* (* 3.0 a) (- (sqrt (- (* b b) (* (* 3.0 a) c)))))
85.0ms
(/ (+ 0 (* (* 3.0 a) c)) (+ (* (* 3.0 a) (- b)) (* (* 3.0 a) (- (sqrt (- (* b b) (* (* 3.0 a) c)))))))

series611.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* 3.0 a) c)
28.0ms
(* (* 3.0 a) (- b))
133.0ms
(* (* 3.0 a) (- (sqrt (- (* b b) (* (* 3.0 a) c)))))
413.0ms
(/ (+ 0 (* (* 3.0 a) c)) (+ (* (* 3.0 a) (- b)) (* (* 3.0 a) (- (sqrt (- (* b b) (* (* 3.0 a) c)))))))

simplify3.0s

Counts
125 → 125
Iterations

Useful iterations: 2 (803.0ms)

IterNodesCost
02222639
16392180
238071970
done50001970

prune514.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes167.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01727
12125
22225
done2225

end0.0ms

sample4.5s

Algorithm
intervals
Results
1.1s3621×body320valid
1.1s8095×body80nan
731.0ms16095×pre80true
482.0ms2912×body160valid
178.0ms520×body640valid
68.0ms947×body80valid