Details

Time bar (total: 5.2s)

sample47.0ms

Algorithm
intervals
Results
10.0ms152×body160valid
10.0ms523×pre80true
8.0ms267×body80nan
3.0ms104×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01217
12117
24116
37516
48716
59516
done9516

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize10.0ms

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))
29.2b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite58.0ms

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:
2.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(* (* 3.0 a) c)
36.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
11.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b b) (* (* 3.0 a) c))
20.0ms
(* (* 3.0 a) c)
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify650.0ms

Counts
85 → 85
Iterations

Useful iterations: done (648.0ms)

IterNodesCost
01541437
14171361
216151139
done50011138

prune218.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.4b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune40.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 9.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l*
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 78
Calls
3 calls:
3.0ms
(/ (* a c) b)
8.0ms
(* -1.5 (/ (* a c) b))
8.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series71.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
32.0ms
(* -1.5 (/ (* a c) b))
21.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify540.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
01231086
13771045
21876761
done5000761

prune180.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 9.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ b (* a c)))
0.3b
(/ b (* a c))
0.3b
(* -1.5 (/ 1 (/ b (* a c))))
0.4b
(/ (* -1.5 (/ 1 (/ b (* a c)))) (* 3.0 a))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
161×add-exp-log
77×add-cbrt-cube
72×div-exp
69×times-frac
54×prod-exp
44×add-sqr-sqrt
38×*-un-lft-identity
37×add-cube-cbrt
32×cbrt-undiv
26×associate-*r*
22×cbrt-unprod
12×rec-exp 1-exp
11×div-inv
9×associate-/r*
7×pow1 associate-/l*
4×add-log-exp
3×frac-2neg associate-*l* clear-num unswap-sqr
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 181
Calls
4 calls:
6.0ms
(/ 1 (/ b (* a c)))
3.0ms
(/ b (* a c))
23.0ms
(* -1.5 (/ 1 (/ b (* a c))))
15.0ms
(/ (* -1.5 (/ 1 (/ b (* a c)))) (* 3.0 a))

series90.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (/ b (* a c)))
24.0ms
(/ b (* a c))
28.0ms
(* -1.5 (/ 1 (/ b (* a c))))
16.0ms
(/ (* -1.5 (/ 1 (/ b (* a c)))) (* 3.0 a))

simplify904.0ms

Counts
193 → 193
Iterations

Useful iterations: 2 (279.0ms)

IterNodesCost
02382623
17102141
223711639
done50001639

prune234.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 9.3b

regimes467.0ms

Accuracy

41% (7.9b remaining)

Error of 17.1b against oracle of 9.1b and baseline of 22.6b

bsearch2.0ms

Steps
ItersRangePoint
0
17.302597776335716
18.126688132261577
17.714642954298647

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02340
12640
done2640

end0.0ms

sample1.3s

Algorithm
intervals
Results
305.0ms16491×pre80true
301.0ms4519×body160valid
267.0ms8491×body80nan
115.0ms3481×body80valid