Details

Time bar (total: 44.5s)

sample149.0ms

Algorithm
intervals
Results
38.0ms161×body160valid
30.0ms501×pre80true
26.0ms245×body80nan
15.0ms39×body320valid
15.0ms56×body80valid

simplify126.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
126.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.2b

localize19.0ms

Local error

Found 4 expressions with local error:

38.5b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
0.1b
(- (* b b) (* (* 3 a) c))

rewrite151.0ms

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
75.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
54.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
14.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))

series344.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
145.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
126.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
51.0ms
(- (* b b) (* (* 3 a) c))
21.0ms
(* (* 3 a) c)

simplify5.1s

Counts
50 → 91
Calls
50 calls:
Slowest
512.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
453.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
393.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
383.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
293.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune988.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.9b

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

prune56.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.9b

localize15.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.3b
(* -3/2 (/ (* a c) b))
0.2b
(/ (* a c) b)

rewrite44.0ms

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
17.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
17.0ms
(* -3/2 (/ (* a c) b))
9.0ms
(/ (* a c) b)

series111.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
46.0ms
(* -3/2 (/ (* a c) b))
34.0ms
(/ (* a c) b)
30.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.5s

Counts
58 → 90
Calls
58 calls:
Slowest
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)))
1.1s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.1s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
1.0s
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (/ (* a c) b) (/ (* a c) b)) (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune895.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 5.9b

localize20.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
0.3b
(* -3/2 (/ a (/ b c)))
0.2b
(/ a (/ b c))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
90×add-sqr-sqrt
81×*-un-lft-identity add-cube-cbrt
49×add-cbrt-cube add-exp-log
44×associate-*r*
20×cbrt-undiv div-exp
14×associate-/r*
13×prod-exp cbrt-unprod
10×div-inv
5×pow1
4×associate-/l*
3×associate-*l* insert-posit16 add-log-exp unswap-sqr
2×clear-num frac-2neg associate-*r/ associate-/r/
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 169
Calls
3 calls:
Slowest
14.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
11.0ms
(* -3/2 (/ a (/ b c)))
5.0ms
(/ a (/ b c))

series109.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
50.0ms
(* -3/2 (/ a (/ b c)))
34.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
25.0ms
(/ a (/ b c))

simplify16.2s

Counts
184 → 178
Calls
184 calls:
Slowest
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* a a) a) (/ (* (* b b) b) (* (* c c) c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.1s
(/ (* (* (* -3/2 (/ a (/ b c))) (* -3/2 (/ a (/ b c)))) (* -3/2 (/ a (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.0s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* a a) a) (/ (* (* b b) b) (* (* c c) c)))) (* (* (* 3 3) 3) (* (* a a) a)))
1.0s
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (/ a (/ b c)) (/ a (/ b c))) (/ a (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
857.0ms
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* a a) a) (* (* (/ b c) (/ b c)) (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune1.6s

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 5.8b

regimes786.0ms

Accuracy

0% (7.0b remaining)

Error of 12.2b against oracle of 5.2b and baseline of 12.2b

bsearch2.0ms

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.6s4846×body160valid
996.0ms16145×pre80true
955.0ms8145×body80nan
654.0ms1818×body80valid
523.0ms1336×body320valid