Details

Time bar (total: 52.2s)

sample150.0ms

Algorithm
intervals
Results
44.0ms549×pre80true
30.0ms101×body320valid
26.0ms293×body80nan
20.0ms103×body160valid
6.0ms16×body640valid
3.0ms36×body80valid

simplify160.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
160.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.0b

localize43.0ms

Local error

Found 4 expressions with local error:

26.6b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(* (* 3 a) c)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.1b
(- (* b b) (* (* 3 a) c))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod insert-posit16
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
Slowest
85.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
43.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
22.0ms
(* (* 3 a) c)
8.0ms
(- (* b b) (* (* 3 a) c))

series316.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
133.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
97.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
58.0ms
(- (* b b) (* (* 3 a) c))
28.0ms
(* (* 3 a) c)

simplify5.5s

Counts
50 → 91
Calls
50 calls:
Slowest
498.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
463.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
460.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
425.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
294.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune963.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.7b

localize6.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune52.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.4b
(* -3/2 (/ (* a c) b))
0.3b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.3b
(/ (* a c) b)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
Slowest
32.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
15.0ms
(* -3/2 (/ (* a c) b))
8.0ms
(/ (* a c) b)

series112.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
39.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
34.0ms
(/ (* a c) b)

simplify13.0s

Counts
58 → 90
Calls
58 calls:
Slowest
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.2s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.2s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
877.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune845.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* -3/2 (/ (* a c) b)) (/ 1 (* 3 a)))
0.4b
(* -3/2 (/ (* a c) b))
0.3b
(/ 1 (* 3 a))
0.3b
(/ (* a c) b)

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
147×add-exp-log
77×add-cbrt-cube
76×prod-exp
38×div-exp
34×cbrt-unprod
20×cbrt-undiv
15×add-sqr-sqrt
14×pow1 associate-*r*
13×*-un-lft-identity add-cube-cbrt
12×times-frac
10×rec-exp 1-exp
5×pow-prod-down
4×associate-/r* associate-*l* associate-*r/ insert-posit16 div-inv associate-/l* add-log-exp
2×clear-num frac-2neg *-commutative pow-flip
1×frac-times associate-*l/ un-div-inv inv-pow unswap-sqr
Counts
4 → 142
Calls
4 calls:
Slowest
97.0ms
(* (* -3/2 (/ (* a c) b)) (/ 1 (* 3 a)))
24.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ 1 (* 3 a))
16.0ms
(/ (* a c) b)

series131.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
44.0ms
(* -3/2 (/ (* a c) b))
36.0ms
(* (* -3/2 (/ (* a c) b)) (/ 1 (* 3 a)))
33.0ms
(/ (* a c) b)
18.0ms
(/ 1 (* 3 a))

simplify22.4s

Counts
112 → 154
Calls
112 calls:
Slowest
1.1s
(* (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (/ (* (* 1 1) 1) (* (* (* 3 3) 3) (* (* a a) a))))
1.0s
(+ (+ (log -3/2) (- (+ (log a) (log c)) (log b))) (- 0 (+ (log 3) (log a))))
979.0ms
(* (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (/ (* (* 1 1) 1) (* (* (* 3 a) (* 3 a)) (* 3 a))))
785.0ms
(* (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (/ 1 (* 3 a)) (/ 1 (* 3 a))) (/ 1 (* 3 a))))
721.0ms
(* (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (/ (* (* 1 1) 1) (* (* (* 3 a) (* 3 a)) (* 3 a))))

prune1.3s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.7b

regimes681.0ms

Accuracy

0% (3.7b remaining)

Error of 6.5b against oracle of 2.8b and baseline of 6.5b

bsearch1.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
1.7s3543×body320valid
1.5s16159×pre80true
1.1s8159×body80nan
852.0ms2940×body160valid
330.0ms534×body640valid
142.0ms983×body80valid