Details

Time bar (total: 27.5s)

sample147.0ms

Algorithm
intervals
Results
34.0ms129×body160valid
32.0ms517×pre80true
30.0ms261×body80nan
23.0ms127×body80valid

simplify161.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
161.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.3b

localize39.0ms

Local error

Found 4 expressions with local error:

26.3b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
0.3b
(- (* b b) (* (* 3 a) c))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
pow1
add-log-exp
add-cube-cbrt
times-frac associate-/l* difference-of-squares
prod-exp cbrt-unprod insert-posit16
flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
Slowest
62.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
55.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
14.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))

series289.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
115.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
102.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
52.0ms
(- (* b b) (* (* 3 a) c))
20.0ms
(* (* 3 a) c)

simplify5.5s

Counts
50 → 91
Calls
50 calls:
Slowest
581.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
459.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
399.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
397.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
306.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.3b

localize7.0ms

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

prune90.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.3b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
associate-*l* insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
Slowest
19.0ms
(/ (* a c) b)
17.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
13.0ms
(* -3/2 (/ (* a c) b))

series93.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
33.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
31.0ms
(/ (* a c) b)
30.0ms
(* -3/2 (/ (* a c) b))

simplify13.2s

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 a) (* 3 a)) (* 3 a)))
1.3s
(/ (* (* (* -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 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 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune1.0s

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 9.2b

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

prune0.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 9.2b

regimes949.0ms

Accuracy

47% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.8b

bsearch17.0ms

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.2s4439×body160valid
1.1s8574×body80nan
1.0s16574×pre80true
942.0ms3561×body80valid