Details

Time bar (total: 14.7s)

sample142.0ms

Algorithm
intervals
Results
55.0ms164×body160valid
27.0ms257×body80nan
26.0ms513×pre80true
12.0ms41×body320valid
6.0ms51×body80valid

simplify126.0ms

Calls
1 calls:
Slowest
125.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.0b

localize21.0ms

Local error

Found 4 expressions with local error:

40.5b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.2b
(- (* b b) (* (* c a) 4))
0.0b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
add-cbrt-cube add-exp-log add-log-exp
pow1 flip3-- insert-posit16 flip--
times-frac sqrt-prod associate-/l*
sub-neg sqrt-div associate-/l/
cbrt-undiv rem-sqrt-square clear-num associate-/r* frac-2neg pow1/2 diff-log div-sub div-exp div-inv
Calls
4 calls:
Slowest
43.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
19.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
3.0ms
(- (* b b) (* (* c a) 4))
2.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series203.0ms

Calls
4 calls:
Slowest
57.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
55.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
53.0ms
(sqrt (- (* b b) (* (* c a) 4)))
38.0ms
(- (* b b) (* (* c a) 4))

simplify3.7s

Calls
32 calls:
Slowest
606.0ms
(- (* (sqrt (- (* b b) (* (* c a) 4))) (sqrt (- (* b b) (* (* c a) 4)))) (* b b))
491.0ms
(sqrt (- (pow (* b b) 3) (pow (* (* c a) 4) 3)))
291.0ms
(- (pow (sqrt (- (* b b) (* (* c a) 4))) 3) (pow b 3))
236.0ms
(sqrt (- (* (* b b) (* b b)) (* (* (* c a) 4) (* (* c a) 4))))
216.0ms
(- b (* 2 (/ (* a c) b)))

prune915.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.8b

localize4.0ms

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

prune31.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.8b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt pow1 clear-num frac-2neg *-un-lft-identity add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp
cbrt-undiv associate-/r* times-frac div-exp associate-*r/ associate-/l/
Calls
2 calls:
Slowest
5.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
3.0ms
(/ (* a c) b)

series24.0ms

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

simplify1.2s

Calls
11 calls:
Slowest
796.0ms
(/ (* (* (* -2 (/ (* a c) b)) (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
146.0ms
(/ (/ (* a c) b) a)
143.0ms
(- (log (* -2 (/ (* a c) b))) (log (* 2 a)))
27.0ms
(* -2 (* a c))
23.0ms
(* -1 (/ c b))

prune347.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (* -2 (/ (* a c) b)) (/ 1 (* 2 a)))
0.3b
(/ (* a c) b)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log
pow1 add-cbrt-cube associate-*r*
add-sqr-sqrt *-un-lft-identity associate-*r/ add-cube-cbrt
prod-exp insert-posit16 div-inv add-log-exp
frac-times rec-exp clear-num frac-2neg associate-*l* pow-prod-down associate-*l/ un-div-inv *-commutative cbrt-unprod associate-/l*
Calls
2 calls:
Slowest
6.0ms
(* (* -2 (/ (* a c) b)) (/ 1 (* 2 a)))
3.0ms
(/ (* a c) b)

series31.0ms

Calls
2 calls:
Slowest
18.0ms
(/ (* a c) b)
12.0ms
(* (* -2 (/ (* a c) b)) (/ 1 (* 2 a)))

simplify1.5s

Calls
19 calls:
Slowest
403.0ms
(* (* -2 (/ (* a c) b)) (/ 1 (* 2 a)))
287.0ms
(* (* (* (* -2 (/ (* a c) b)) (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b))) (* (* (/ 1 (* 2 a)) (/ 1 (* 2 a))) (/ 1 (* 2 a))))
274.0ms
(* (* -2 (* a c)) (/ 1 (* 2 a)))
177.0ms
(+ (log (* -2 (/ (* a c) b))) (- (log (* 2 a))))
149.0ms
(+ (log (* -2 (/ (* a c) b))) (log (/ 1 (* 2 a))))

prune276.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 4.7b

regimes417.0ms

Accuracy

0.3% (6.9b remaining)

Error of 12.0b against oracle of 5.1b and baseline of 12.0b

bsearch61.0ms

end0.0ms

sample5.5s

Algorithm
intervals
Results
1.9s4900×body160valid
1.4s16297×pre80true
1.1s8297×body80nan
563.0ms1320×body320valid
242.0ms1780×body80valid