Details

Time bar (total: 49.2s)

sample156.0ms

Algorithm
intervals
Results
39.0ms119×body320valid
37.0ms270×body80nan
29.0ms526×pre80true
22.0ms104×body160valid
5.0ms12×body640valid
3.0ms21×body80valid

simplify132.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
132.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.3b

localize22.0ms

Local error

Found 4 expressions with local error:

28.3b
(- (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))

rewrite200.0ms

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
96.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
51.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
35.0ms
(* (* 3 a) c)
17.0ms
(- (* b b) (* (* 3 a) c))

series320.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
116.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
110.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
72.0ms
(- (* b b) (* (* 3 a) c))
23.0ms
(* (* 3 a) c)

simplify5.4s

Counts
50 → 91
Calls
50 calls:
Slowest
518.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
451.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
435.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
295.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
290.0ms
(/ (* (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.0b

localize13.0ms

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

prune35.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.0b

localize29.0ms

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)

rewrite78.0ms

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
37.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
29.0ms
(* -3/2 (/ (* a c) b))
10.0ms
(/ (* a c) b)

series77.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
31.0ms
(* -3/2 (/ (* a c) b))
24.0ms
(/ (* a c) b)
22.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.7s

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

prune903.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
52×add-cbrt-cube add-exp-log
42×times-frac
29×add-sqr-sqrt
27×*-un-lft-identity add-cube-cbrt
21×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
9×associate-/r* associate-/l*
8×div-inv
7×associate-*r*
6×pow1
4×insert-posit16 add-log-exp
3×clear-num frac-2neg associate-*l*
2×associate-*r/ associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 130
Calls
4 calls:
Slowest
32.0ms
(/ (/ (* -3/2 (/ (* a c) b)) 3) a)
26.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* -3/2 (/ (* a c) b)) 3)
13.0ms
(/ (* a c) b)

series169.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
48.0ms
(* -3/2 (/ (* a c) b))
48.0ms
(/ (* -3/2 (/ (* a c) b)) 3)
39.0ms
(/ (* a c) b)
34.0ms
(/ (/ (* -3/2 (/ (* a c) b)) 3) a)

simplify19.4s

Counts
120 → 142
Calls
120 calls:
Slowest
825.0ms
(/ (/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* 3 3) 3)) (* (* a a) a))
719.0ms
(/ (/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* 3 3) 3)) (* (* a a) a))
652.0ms
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* 3 3) 3))
494.0ms
(/ (/ (/ (* a c) b) 3) a)
480.0ms
(- (+ (log -3/2) (- (log (* a c)) (log b))) (log 3))

prune1.2s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.9b

regimes548.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch1.0ms

end0.0ms

sample6.6s

Algorithm
intervals
Results
1.7s3645×body320valid
1.6s8129×body80nan
1.4s2958×body160valid
1.1s16129×pre80true
248.0ms478×body640valid
150.0ms919×body80valid