Details

Time bar (total: 14.3s)

sample106.0ms

Algorithm
intervals
Results
33.0ms159×body160valid
24.0ms484×pre80true
21.0ms228×body80nan
9.0ms97×body80valid

simplify133.0ms

Calls
1 calls:
Slowest
133.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize22.0ms

Local error

Found 4 expressions with local error:

30.9b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
0.2b
(- (* b b) (* (* 3 a) c))

rewrite87.0ms

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
51.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
25.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
5.0ms
(* (* 3 a) c)
5.0ms
(- (* b b) (* (* 3 a) c))

series187.0ms

Calls
4 calls:
Slowest
65.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
64.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
42.0ms
(- (* b b) (* (* 3 a) c))
16.0ms
(* (* 3 a) c)

simplify2.6s

Calls
26 calls:
Slowest
550.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
308.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
261.0ms
(/ (* (* (- (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)))
183.0ms
(- (log (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (log (* 3 a)))
124.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune784.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.8b

localize10.0ms

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

prune98.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.8b

localize14.0ms

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)

rewrite9.0ms

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
5.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
2.0ms
(/ (* a c) b)
1.0ms
(* -3/2 (/ (* a c) b))

series56.0ms

Calls
3 calls:
Slowest
26.0ms
(/ (* a c) b)
18.0ms
(* -3/2 (/ (* a c) b))
12.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.7s

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)))
190.0ms
(- (log (* -3/2 (/ (* a c) b))) (log (* 3 a)))
178.0ms
(/ (/ (* a c) b) a)
126.0ms
(* -3/2 (/ (* a c) b))
103.0ms
(* -3/2 (/ (* a c) b))

prune583.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 9.7b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt associate-/r* *-un-lft-identity add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
4×div-inv
3×pow1 insert-posit16 add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/r/
1×cbrt-undiv times-frac div-exp *-commutative associate-/l* associate-/l/
Calls
3 calls:
Slowest
4.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
1.0ms
(* -3/2 (/ a (/ b c)))
0.0ms
(/ a (/ b c))

series47.0ms

Calls
3 calls:
Slowest
17.0ms
(* -3/2 (/ a (/ b c)))
16.0ms
(/ a (/ b c))
13.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))

simplify1.4s

Calls
23 calls:
Slowest
782.0ms
(/ (* (* (* -3/2 (/ a (/ b c))) (* -3/2 (/ a (/ b c)))) (* -3/2 (/ a (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
144.0ms
(- (log (* -3/2 (/ a (/ b c)))) (log (* 3 a)))
100.0ms
(* -3/2 (/ (* a c) b))
92.0ms
(* -3/2 (/ (* a c) b))
75.0ms
(* -3/2 (/ (* a c) b))

prune454.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 9.7b

regimes817.0ms

Accuracy

42.4% (7.6b remaining)

Error of 16.8b against oracle of 9.2b and baseline of 22.4b

bsearch17.0ms

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.9s8614×body80nan
1.3s4571×body160valid
1.1s16614×pre80true
395.0ms3429×body80valid