Details

Time bar (total: 14.9s)

sample201.0ms

Algorithm
intervals
Results
59.0ms511×pre80true
47.0ms149×body160valid
36.0ms255×body80nan
24.0ms54×body320valid
8.0ms53×body80valid

simplify107.0ms

Calls
1 calls:
Slowest
107.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize37.0ms

Local error

Found 4 expressions with local error:

38.4b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(* (* 3 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.2b
(- (* b b) (* (* 3 a) c))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
4×pow1 insert-posit16
3×times-frac flip3-- flip-- associate-/l*
2×sub-neg associate-/l/
1×cbrt-undiv clear-num associate-/r* frac-2neg diff-log div-sub div-exp associate-*l* *-commutative div-inv
Calls
4 calls:
Slowest
31.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
24.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
3.0ms
(* (* 3 a) c)
2.0ms
(- (* b b) (* (* 3 a) c))

series178.0ms

Calls
4 calls:
Slowest
74.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
62.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
30.0ms
(- (* b b) (* (* 3 a) c))
12.0ms
(* (* 3 a) c)

simplify3.0s

Calls
26 calls:
Slowest
550.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
427.0ms
(/ (sqrt (- (* b b) (* (* 3 a) c))) (* 3 a))
279.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
226.0ms
(/ (* (* (- (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)))
136.0ms
(- (log (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (log (* 3 a)))

prune842.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.1b

localize11.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

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

series0.0ms

Calls
0 calls:
Slowest

simplify0.0ms

Calls
0 calls:
Slowest

prune83.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.1b

localize19.0ms

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)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
5×add-cbrt-cube add-exp-log
4×add-sqr-sqrt *-un-lft-identity associate-*r* add-cube-cbrt
3×pow1 insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×cbrt-undiv associate-/r* times-frac div-exp *-commutative associate-/l/
Calls
3 calls:
Slowest
12.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
5.0ms
(/ (* a c) b)
2.0ms
(* -3/2 (/ (* a c) b))

series56.0ms

Calls
3 calls:
Slowest
23.0ms
(* -3/2 (/ (* a c) b))
21.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
12.0ms
(/ (* a c) b)

simplify1.5s

Calls
18 calls:
Slowest
754.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
144.0ms
(/ (/ (* a c) b) a)
128.0ms
(- (log (* -3/2 (/ (* a c) b))) (log (* 3 a)))
100.0ms
(* -3/2 (/ (* a c) b))
68.0ms
(* -3/2 (/ (* a c) b))

prune526.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt associate-/l*
4×times-frac div-inv
3×pow1 insert-posit16 add-log-exp
2×clear-num frac-2neg
1×cbrt-undiv associate-/r* div-exp associate-*r* *-commutative associate-/l/
Calls
3 calls:
Slowest
10.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))
7.0ms
(/ (* -3/2 (* a c)) b)
2.0ms
(* -3/2 (* a c))

series60.0ms

Calls
3 calls:
Slowest
23.0ms
(/ (* -3/2 (* a c)) b)
21.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))
16.0ms
(* -3/2 (* a c))

simplify2.2s

Calls
23 calls:
Slowest
462.0ms
(/ (/ (* -3/2 (* a c)) b) a)
368.0ms
(/ (* (* (/ (* -3/2 (* a c)) b) (/ (* -3/2 (* a c)) b)) (/ (* -3/2 (* a c)) b)) (* (* (* 3 a) (* 3 a)) (* 3 a)))
200.0ms
(- (log (/ (* -3/2 (* a c)) b)) (log (* 3 a)))
122.0ms
(* -3/2 (/ (* a c) b))
120.0ms
(sqrt (/ (* -3/2 (* a c)) b))

prune449.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.1b

regimes683.0ms

Accuracy

0% (6.8b remaining)

Error of 11.8b against oracle of 5.0b and baseline of 11.8b

bsearch2.0ms

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.5s16155×pre80true
1.3s4806×body160valid
887.0ms8155×body80nan
560.0ms1435×body320valid
217.0ms1759×body80valid