Details

Time bar (total: 20.9s)

sample99.0ms

Algorithm
intervals
Results
34.0ms258×body80nan
16.0ms158×body160valid
13.0ms514×pre80true
5.0ms98×body80valid

simplify94.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01217
12117
24116
37616
49616
510416
done10416

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.8b

localize18.0ms

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))
29.7b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite161.0ms

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))
30.0ms
(* (* 3.0 a) c)
95.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
26.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series791.0ms

Counts
4 → 12
Calls
4 calls:
496.0ms
(- (* b b) (* (* 3.0 a) c))
28.0ms
(* (* 3.0 a) c)
160.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
106.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.2s

Counts
85 → 85
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01541437
14371361
225441143
done50001133

prune291.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

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

rewrite291.0ms

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:
22.0ms
(* (* 3.0 a) c)
36.0ms
(* (* 3.0 a) c)
129.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
94.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* 3.0 a) c)
34.0ms
(* (* 3.0 a) c)
234.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
327.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify2.9s

Counts
169 → 169
Iterations

Useful iterations: 2 (867.0ms)

IterNodesCost
02234721
15914243
239123879
done50003879

prune702.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite293.0ms

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:
33.0ms
(* (* 3.0 a) c)
40.0ms
(* (* a c) 3.0)
114.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* a c) 3.0))))) (* 3.0 a))
97.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* a c) 3.0)))))

series532.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* 3.0 a) c)
30.0ms
(* (* a c) 3.0)
213.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* a c) 3.0))))) (* 3.0 a))
263.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* a c) 3.0)))))

simplify3.1s

Counts
169 → 169
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
02474721
16674243
246793879
done50003879

prune608.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

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:
18.0ms
(* (* 3.0 a) c)
84.0ms
(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* a c) 3.0)))))
87.0ms
(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* a c) 3.0))))))
18.0ms
(* (* a c) 3.0)

series482.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* 3.0 a) c)
175.0ms
(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* a c) 3.0)))))
252.0ms
(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* a c) 3.0))))))
25.0ms
(* (* a c) 3.0)

simplify3.3s

Counts
103 → 103
Iterations

Useful iterations: 2 (695.0ms)

IterNodesCost
01721935
15261799
244851467
done50001467

prune432.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes190.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01825
12523
22623
done2623

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.0s16622×pre80true
725.0ms4450×body160valid
675.0ms8622×body80nan
358.0ms3550×body80valid