Details

Time bar (total: 14.7s)

sample137.0ms

Algorithm
intervals
Results
32.0ms163×body160valid
24.0ms488×pre80true
24.0ms50×body80valid
21.0ms232×body80nan
13.0ms43×body320valid

simplify146.0ms

Calls
1 calls:
Slowest
146.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.5b

localize44.0ms

Local error

Found 4 expressions with local error:

39.9b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.2b
(* (* 3 a) c)
0.2b
(- (* b b) (* (* 3 a) c))

rewrite60.0ms

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
35.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
14.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
5.0ms
(* (* 3 a) c)
5.0ms
(- (* b b) (* (* 3 a) c))

series161.0ms

Calls
4 calls:
Slowest
74.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
51.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
26.0ms
(- (* b b) (* (* 3 a) c))
11.0ms
(* (* 3 a) c)

simplify2.7s

Calls
26 calls:
Slowest
594.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
329.0ms
(/ (* (* (- (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)))
313.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
150.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))
132.0ms
(- (log (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (log (* 3 a)))

prune746.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.9b

localize9.0ms

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

prune46.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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
10.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
5.0ms
(/ (* a c) b)
2.0ms
(* -3/2 (/ (* a c) b))

series57.0ms

Calls
3 calls:
Slowest
26.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
18.0ms
(* -3/2 (/ (* a c) b))
13.0ms
(/ (* a c) b)

simplify1.4s

Calls
18 calls:
Slowest
675.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
142.0ms
(- (log (* -3/2 (/ (* a c) b))) (log (* 3 a)))
134.0ms
(/ (/ (* a c) b) a)
108.0ms
(* -3/2 (/ (* a c) b))
90.0ms
(* -3/2 (/ (* a c) b))

prune573.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 4.8b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
5×add-cbrt-cube add-exp-log
3×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt insert-posit16 add-log-exp
2×*-commutative
1×cbrt-undiv clear-num associate-/r* frac-2neg times-frac div-exp associate-*r* associate-*l* div-inv associate-/l*
Calls
3 calls:
Slowest
11.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))
6.0ms
(* (* 3 a) b)
2.0ms
(* -3/2 (* a c))

series54.0ms

Calls
3 calls:
Slowest
21.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))
19.0ms
(* -3/2 (* a c))
14.0ms
(* (* 3 a) b)

simplify2.5s

Calls
13 calls:
Slowest
2.1s
(/ (* (* (* -3/2 (* a c)) (* -3/2 (* a c))) (* -3/2 (* a c))) (* (* (* (* 3 a) b) (* (* 3 a) b)) (* (* 3 a) b)))
130.0ms
(- (log (* -3/2 (* a c))) (log (* (* 3 a) b)))
26.0ms
(* -3/2 (* a c))
25.0ms
(* -3/2 (* a c))
24.0ms
(* 3 (* a b))

prune342.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 4.8b

regimes634.0ms

Accuracy

11.6% (5.9b remaining)

Error of 10.8b against oracle of 5.0b and baseline of 11.6b

bsearch70.0ms

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.7s4920×body160valid
1.0s8218×body80nan
933.0ms16218×pre80true
550.0ms1348×body320valid
246.0ms1732×body80valid