Details

Time bar (total: 16.7s)

sample142.0ms

Algorithm
intervals
Results
46.0ms128×body320valid
24.0ms510×pre80true
22.0ms254×body80nan
16.0ms90×body160valid
6.0ms17×body640valid
2.0ms21×body80valid

simplify150.0ms

Counts
1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.8b

localize20.0ms

Local error

Found 4 expressions with local error:

28.1b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(* (* 3 a) c)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.0b
(- (* b b) (* (* 3 a) c))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
pow1
add-log-exp
add-cube-cbrt
times-frac associate-/l* difference-of-squares
prod-exp cbrt-unprod insert-posit16
flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
Slowest
82.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
49.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
34.0ms
(* (* 3 a) c)
13.0ms
(- (* b b) (* (* 3 a) c))

series361.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
154.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
131.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
55.0ms
(- (* b b) (* (* 3 a) c))
22.0ms
(* (* 3 a) c)

simplify2.6s

Counts
91 → 91

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.4b

localize12.0ms

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

prune57.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.4b

localize29.0ms

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)

rewrite83.0ms

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*
associate-*l* insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
Slowest
40.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
23.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* a c) b)

series116.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
51.0ms
(* -3/2 (/ (* a c) b))
39.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
27.0ms
(/ (* a c) b)

simplify611.0ms

Counts
90 → 90

prune874.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.4b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt b)
0.5b
(cbrt b)
0.5b
(cbrt b)
0.5b
(* (cbrt b) (cbrt b))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
Slowest
14.0ms
(* (cbrt b) (cbrt b))
2.0ms
(cbrt b)
1.0ms
(cbrt b)
1.0ms
(cbrt b)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
326.0ms
(cbrt b)
316.0ms
(* (cbrt b) (cbrt b))
267.0ms
(cbrt b)
244.0ms
(cbrt b)

simplify1.3s

Counts
89 → 89

prune998.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.4b

regimes587.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch1.0ms

end0.0ms

sample6.3s

Algorithm
intervals
Results
1.6s8028×body80nan
1.5s3568×body320valid
983.0ms16028×pre80true
826.0ms2971×body160valid
717.0ms549×body640valid
106.0ms912×body80valid