Details

Time bar (total: 20.5s)

sample132.0ms

Algorithm
intervals
Results
38.0ms515×pre80true
23.0ms141×body160valid
21.0ms259×body80nan
10.0ms115×body80valid

simplify107.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01217
12117
24116
37616
49616
510416
done10416

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* 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))
28.1b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite177.0ms

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))
39.0ms
(* (* 3.0 a) c)
88.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (* b b) (* (* 3.0 a) c))
25.0ms
(* (* 3.0 a) c)
150.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
114.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.3s

Counts
85 → 85
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01541437
14371361
225441143
done50001133

prune257.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

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))

rewrite272.0ms

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:
93.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
26.0ms
(* (* 3.0 a) c)
17.0ms
(* (* 3.0 a) c)
118.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series590.0ms

Counts
4 → 12
Calls
4 calls:
279.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
26.0ms
(* (* 3.0 a) c)
36.0ms
(* (* 3.0 a) c)
249.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.7s

Counts
169 → 169
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02234721
15874243
238513887
done50013879

prune639.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite293.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
81×add-sqr-sqrt *-un-lft-identity
41×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
13×sqrt-prod
10×distribute-rgt-neg-in
9×associate-*r*
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×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 → 160
Calls
4 calls:
77.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* (* 3.0 a) (sqrt c)) (sqrt c))))))
18.0ms
(* (* 3.0 a) c)
150.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* (* 3.0 a) (sqrt c)) (sqrt c)))))) (* 3.0 a))
37.0ms
(* (* 3.0 a) (sqrt c))

series1.2s

Counts
4 → 12
Calls
4 calls:
568.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* (* 3.0 a) (sqrt c)) (sqrt c))))))
25.0ms
(* (* 3.0 a) c)
476.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* (* 3.0 a) (sqrt c)) (sqrt c)))))) (* 3.0 a))
84.0ms
(* (* 3.0 a) (sqrt c))

simplify3.2s

Counts
172 → 172
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
02665513
17194311
248283967
done50013967

prune734.0ms

Pruning

10 alts after pruning (9 fresh and 1 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) c)
0.4b
(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite284.0ms

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:
36.0ms
(* (* 3.0 a) c)
36.0ms
(* (* 3.0 a) c)
113.0ms
(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
94.0ms
(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series474.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* 3.0 a) c)
24.0ms
(* (* 3.0 a) c)
190.0ms
(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
237.0ms
(/ (+ 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 (678.0ms)

IterNodesCost
01481935
14501799
236371459
done50001459

prune354.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01829
12327
22427
done2427

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.1s4414×body160valid
692.0ms16447×pre80true
562.0ms8447×body80nan
454.0ms3586×body80valid