Details

Time bar (total: 25.7s)

sample146.0ms

Algorithm
intervals
Results
46.0ms141×body160valid
22.0ms257×body80nan
19.0ms513×pre80true
12.0ms115×body80valid

simplify311.0ms

Counts
1 → 1
Iterations
IterNodes
done105
7105
6104
5102
494
379
243
125
014

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* 4.0 (* c a))))
0.2b
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
0.3b
(- (* b b) (* 4.0 (* c a)))
27.1b
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

rewrite339.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
19×prod-diff
13×distribute-lft-out--
add-cbrt-cube add-exp-log
add-log-exp
fma-neg
pow1 div-inv
expm1-log1p-u insert-posit16 log1p-expm1-u
cbrt-undiv associate-/r* flip3-- div-exp flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 187
Calls
4 calls:
27.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
164.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
23.0ms
(- (* b b) (* 4.0 (* c a)))
106.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

series535.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
200.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
95.0ms
(- (* b b) (* 4.0 (* c a)))
122.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

simplify4.1s

Counts
199 → 199
Iterations
IterNodes
done5001
22252
1799
0325

prune2.7s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 10.5b

localize17.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune448.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 10.5b

localize43.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
associate-/l*
associate-/r* div-inv
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 79
Calls
2 calls:
24.0ms
(/ (* a c) b)
58.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series77.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (* a c) b)
35.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify3.2s

Counts
85 → 85
Iterations
IterNodes
done5039
21956
1459
0173

prune1.5s

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 10.4b

localize28.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ (* -2.0 (* (* a c) (/ 1 b))) 2.0) a)
0.3b
(* (* a c) (/ 1 b))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
79×add-exp-log
47×add-cbrt-cube
42×times-frac
33×prod-exp
29×div-exp
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×cbrt-undiv cbrt-unprod
13×associate-*r*
pow1 associate-/l*
div-inv
rec-exp 1-exp
associate-/r* pow-prod-down
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
clear-num frac-2neg associate-*l* associate-*r/ un-div-inv *-commutative associate-/l/
Counts
2 → 104
Calls
2 calls:
117.0ms
(/ (/ (* -2.0 (* (* a c) (/ 1 b))) 2.0) a)
36.0ms
(* (* a c) (/ 1 b))

series105.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (/ (* -2.0 (* (* a c) (/ 1 b))) 2.0) a)
54.0ms
(* (* a c) (/ 1 b))

simplify4.3s

Counts
110 → 110
Iterations
IterNodes
done5071
22671
1632
0232

prune947.0ms

Pruning

40 alts after pruning (40 fresh and 0 done)

Merged error: 10.4b

regimes2.6s

Accuracy

45.5% (7.6b remaining)

Error of 16.6b against oracle of 9.0b and baseline of 22.9b

bsearch8.0ms

Steps
ItersRangePoint
0
5056.833706873871
5248.096163707824
5152.464935290847

simplify12.0ms

Iterations
IterNodes
done36
136
029

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.2s8851×body80nan
1.0s16851×pre80true
855.0ms4441×body160valid
283.0ms3559×body80valid