Details

Time bar (total: 14.8s)

sample140.0ms

Algorithm
intervals
Results
36.0ms140×body160valid
34.0ms514×pre80true
31.0ms258×body80nan
15.0ms116×body80valid

simplify134.0ms

Calls
1 calls:
Slowest
134.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize36.0ms

Local error

Found 4 expressions with local error:

29.5b
(- (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))

rewrite56.0ms

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
36.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
14.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
3.0ms
(* (* 3 a) c)
3.0ms
(- (* b b) (* (* 3 a) c))

series330.0ms

Calls
4 calls:
Slowest
147.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
103.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
60.0ms
(- (* b b) (* (* 3 a) c))
20.0ms
(* (* 3 a) c)

simplify3.1s

Calls
26 calls:
Slowest
583.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
413.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a)
317.0ms
(/ (* (* (- (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)))
301.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
165.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune905.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.1b

localize14.0ms

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

prune94.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.1b

localize21.0ms

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)

rewrite8.0ms

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
4.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
3.0ms
(/ (* a c) b)
1.0ms
(* -3/2 (/ (* a c) b))

series97.0ms

Calls
3 calls:
Slowest
46.0ms
(* -3/2 (/ (* a c) b))
30.0ms
(/ (* a c) b)
21.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.5s

Calls
18 calls:
Slowest
735.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
145.0ms
(- (log (* -3/2 (/ (* a c) b))) (log (* 3 a)))
145.0ms
(/ (/ (* a c) b) a)
94.0ms
(* -3/2 (/ (* a c) b))
85.0ms
(* -3/2 (/ (* a c) b))

prune526.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 8.0b

localize21.0ms

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))

rewrite12.0ms

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
8.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
2.0ms
(* -3/2 (/ a (/ b c)))
1.0ms
(/ a (/ b c))

series102.0ms

Calls
3 calls:
Slowest
40.0ms
(/ a (/ b c))
39.0ms
(* -3/2 (/ a (/ b c)))
22.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))

simplify1.5s

Calls
23 calls:
Slowest
887.0ms
(/ (* (* (* -3/2 (/ a (/ b c))) (* -3/2 (/ a (/ b c)))) (* -3/2 (/ a (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
112.0ms
(- (log (* -3/2 (/ a (/ b c)))) (log (* 3 a)))
111.0ms
(* -3/2 (/ (* a c) b))
93.0ms
(* -3/2 (/ (* a c) b))
84.0ms
(* -3/2 (/ (* a c) b))

prune479.0ms

Pruning

29 alts after pruning (27 fresh and 2 done)

Merged error: 8.0b

regimes936.0ms

Accuracy

43.3% (7.5b remaining)

Error of 16.7b against oracle of 9.2b and baseline of 22.4b

bsearch43.0ms

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.6s16771×pre80true
1.1s4507×body160valid
1.0s8771×body80nan
483.0ms3493×body80valid