Details

Time bar (total: 33.1s)

sample123.0ms

Algorithm
intervals
Results
47.0ms510×pre80true
25.0ms158×body160valid
19.0ms254×body80nan
10.0ms42×body320valid
5.0ms56×body80valid

simplify116.0ms

Counts
1 → 1
Iterations
IterNodes
8102
7102
6101
599
491
373
241
122
012

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.3b
(* (* 3 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
39.8b
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite160.0ms

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:
16.0ms
(- (* b b) (* (* 3 a) c))
25.0ms
(* (* 3 a) c)
97.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
20.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series357.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (* b b) (* (* 3 a) c))
25.0ms
(* (* 3 a) c)
143.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
129.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify5.1s

Counts
109 → 109
Iterations
IterNodes
36302
21593
1465
0170

prune1.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.1b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune100.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.1b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

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:
9.0ms
(/ (* a c) b)
22.0ms
(* -3/2 (/ (* a c) b))
45.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series87.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (* a c) b)
37.0ms
(* -3/2 (/ (* a c) b))
22.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify13.6s

Counts
96 → 96
Iterations
IterNodes
316378
21907
1377
0132

prune915.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 4.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube add-exp-log
10×prod-exp cbrt-unprod
pow1
cbrt-undiv div-exp
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-/r* times-frac associate-*r* pow-prod-down
expm1-log1p-u associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
clear-num frac-2neg associate-*l* *-commutative div-inv associate-/l* associate-/l/
Counts
2 → 53
Calls
2 calls:
23.0ms
(/ (* (* -1/2 (/ a b)) c) a)
26.0ms
(* (* -1/2 (/ a b)) c)

series84.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (* (* -1/2 (/ a b)) c) a)
43.0ms
(* (* -1/2 (/ a b)) c)

simplify4.6s

Counts
59 → 59
Iterations
IterNodes
36908
21124
1266
099

prune404.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 4.0b

regimes1.3s

Accuracy

31.2% (4.7b remaining)

Error of 9.8b against oracle of 5.1b and baseline of 12.0b

bsearch3.0ms

simplify9.0ms

Iterations
IterNodes
241
141
031

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.3s4778×body160valid
1.1s16319×pre80true
976.0ms8319×body80nan
899.0ms1418×body320valid
225.0ms1804×body80valid