Details

Time bar (total: 14.3s)

sample123.0ms

Algorithm
intervals
Results
43.0ms544×pre80true
27.0ms165×body160valid
22.0ms288×body80nan
7.0ms91×body80valid

simplify143.0ms

Counts
1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize31.0ms

Local error

Found 4 expressions with local error:

31.1b
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
0.2b
(- (* b b) (* (* 3 a) c))
0.2b
(* (* 3 a) c)

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-cbrt-cube add-exp-log
10×add-sqr-sqrt fma-def add-cube-cbrt add-log-exp
pow1
distribute-rgt-neg-in distribute-lft-out
times-frac associate-/l*
expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
distribute-lft-neg-in associate-*r* pow-prod-down
neg-sub0 cbrt-undiv sum-log flip3-+ div-exp associate-+l- flip-+ associate-/l/
+-commutative clear-num associate-/r* neg-mul-1 sub-neg frac-2neg flip3-- fma-neg diff-log div-sub associate-*l* prod-diff neg-log *-commutative div-inv flip--
Counts
4 → 97
Calls
4 calls:
Slowest
73.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
28.0ms
(* (* 3 a) c)
16.0ms
(- (* b b) (* (* 3 a) c))
15.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series324.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
132.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
102.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
59.0ms
(- (* b b) (* (* 3 a) c))
31.0ms
(* (* 3 a) c)

simplify541.0ms

Counts
109 → 109

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.7b

localize6.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

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

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0

prune89.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.7b

localize22.0ms

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)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 87
Calls
3 calls:
Slowest
20.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
20.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* a c) b)

series119.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
50.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
33.0ms
(/ (* a c) b)

simplify596.0ms

Counts
96 → 96

prune953.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 9.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (/ a -1/2) (* (/ a b) c))
0.3b
(/ 1 (/ (/ a -1/2) (* (/ a b) c)))
0.2b
(* (/ a b) c)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
183×times-frac
102×add-exp-log
81×add-sqr-sqrt
76×*-un-lft-identity add-cube-cbrt
59×div-exp
58×add-cbrt-cube
30×cbrt-undiv
19×associate-/r*
18×prod-exp
16×associate-/l*
13×associate-*l* div-inv
10×cbrt-unprod
rec-exp 1-exp
pow1 associate-*l/ associate-/r/
expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u add-log-exp
clear-num frac-2neg unswap-sqr
pow-prod-down *-commutative pow-flip inv-pow associate-/l/
Counts
3 → 208
Calls
3 calls:
Slowest
27.0ms
(/ 1 (/ (/ a -1/2) (* (/ a b) c)))
16.0ms
(/ (/ a -1/2) (* (/ a b) c))
10.0ms
(* (/ a b) c)

series111.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
45.0ms
(/ 1 (/ (/ a -1/2) (* (/ a b) c)))
36.0ms
(* (/ a b) c)
29.0ms
(/ (/ a -1/2) (* (/ a b) c))

simplify1.1s

Counts
217 → 217

prune1.9s

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 9.6b

regimes1.5s

Accuracy

57.1% (5.8b remaining)

Error of 14.9b against oracle of 9.1b and baseline of 22.6b

bsearch11.0ms

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.3s4541×body160valid
1.2s16581×pre80true
1.1s3459×body80valid
978.0ms8581×body80nan