Details

Time bar (total: 17.1s)

sample119.0ms

Algorithm
intervals
Results
25.0ms151×body160valid
24.0ms298×body80nan
21.0ms554×pre80true
9.0ms105×body80valid

simplify107.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.4b

localize34.0ms

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))
30.4b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite608.0ms

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:
17.0ms
(- (* b b) (* (* 3.0 a) c))
36.0ms
(* (* 3.0 a) c)
105.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
31.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series385.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(- (* b b) (* (* 3.0 a) c))
36.0ms
(* (* 3.0 a) c)
153.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
126.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.5s

Counts
85 → 85
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01541437
14101361
215471139
done50001125

prune287.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite273.0ms

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:
33.0ms
(* (* 3.0 a) c)
18.0ms
(* 3.0 (* a c))
94.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
121.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series507.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* 3.0 a) c)
23.0ms
(* 3.0 (* a c))
234.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
227.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.7s

Counts
169 → 169
Iterations

Useful iterations: 2 (786.0ms)

IterNodesCost
02434718
16034240
225933862
done50023862

prune666.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite346.0ms

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:
36.0ms
(* (* 3.0 a) c)
36.0ms
(* (* 3.0 a) c)
105.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
155.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series569.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (* 3.0 a) c)
31.0ms
(* (* 3.0 a) c)
266.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
250.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.4s

Counts
169 → 169
Iterations

Useful iterations: 2 (625.0ms)

IterNodesCost
02234721
15494241
223373863
done50003863

prune665.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
19×pow1
12×prod-exp cbrt-unprod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down
8×distribute-rgt-in distribute-lft-in associate-*r/
7×associate-*l*
5×associate-*r*
4×sub-neg add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv
Counts
4 → 91
Calls
4 calls:
29.0ms
(* (* 3.0 a) c)
24.0ms
(* 3.0 (* a c))
97.0ms
(* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
95.0ms
(/ (+ 0 (* 3.0 (* a c))) (* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

series419.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* 3.0 a) c)
36.0ms
(* 3.0 (* a c))
143.0ms
(* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
201.0ms
(/ (+ 0 (* 3.0 (* a c))) (* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

simplify1.7s

Counts
103 → 103
Iterations

Useful iterations: 2 (462.0ms)

IterNodesCost
01791951
14741821
223351465
done50021465

prune368.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes288.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01525
11823
done1823

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.1s8466×body80nan
855.0ms4467×body160valid
601.0ms16466×pre80true
316.0ms3533×body80valid