Details

Time bar (total: 1.2m)

sample154.0ms

Algorithm
intervals
Results
36.0ms164×body160valid
27.0ms504×pre80true
26.0ms248×body80nan
15.0ms43×body320valid
6.0ms49×body80valid

simplify99.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
98.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.0b

localize20.0ms

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)
0.2b
(- (* b b) (* (* 3 a) c))

rewrite152.0ms

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
88.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
43.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
13.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))

series335.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
154.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
97.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
63.0ms
(- (* b b) (* (* 3 a) c))
20.0ms
(* (* 3 a) c)

simplify12.3s

Counts
104 → 91
Calls
104 calls:
Slowest
773.0ms
(- (* (* b b) (* b b)) (* (* (* 3 a) c) (* (* 3 a) c)))
693.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
551.0ms
(* (* (* (* 3 a) c) (* (* 3 a) c)) (* (* 3 a) c))
459.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
457.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.5b

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

prune69.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.5b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

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
36.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
18.0ms
(/ (* a c) b)
11.0ms
(* -3/2 (/ (* a c) b))

series89.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
46.0ms
(* -3/2 (/ (* a c) b))
22.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
21.0ms
(/ (* a c) b)

simplify19.1s

Counts
96 → 90
Calls
96 calls:
Slowest
1.4s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.3s
(/ (* (* (* -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)))
1.2s
(/ (* (* (* -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 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune780.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 5.4b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

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
28.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
22.0ms
(* -3/2 (/ a (/ b c)))
11.0ms
(/ a (/ b c))

series108.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
45.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
36.0ms
(* -3/2 (/ a (/ b c)))
27.0ms
(/ a (/ b c))

simplify27.9s

Counts
222 → 178
Calls
222 calls:
Slowest
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* a a) a) (/ (* (* b b) b) (* (* c c) c)))) (* (* (* 3 3) 3) (* (* a a) a)))
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* a a) a) (/ (* (* b b) b) (* (* c c) c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.3s
(/ (* (* (* -3/2 (/ a (/ b c))) (* -3/2 (/ a (/ b c)))) (* -3/2 (/ a (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
941.0ms
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (/ a (/ b c)) (/ a (/ b c))) (/ a (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
805.0ms
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* a a) a) (* (* (/ b c) (/ b c)) (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune1.7s

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 5.4b

regimes864.0ms

Accuracy

0% (6.7b remaining)

Error of 11.5b against oracle of 4.9b and baseline of 11.5b

bsearch1.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
1.3s16359×pre80true
1.2s4917×body160valid
1.2s8359×body80nan
581.0ms1360×body320valid
221.0ms1723×body80valid