Details

Time bar (total: 12.8s)

sample94.0ms

Algorithm
intervals
Results
22.0ms163×body160valid
18.0ms265×body80nan
15.0ms521×pre80true
8.0ms41×body320valid
4.0ms52×body80valid

simplify124.0ms

Counts
1 → 1
Iterations
IterNodes
done128
5128
4119
386
246
125
014

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 c) a)))
0.1b
(- (* b b) (* (* 4.0 c) a))
0.2b
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
39.5b
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
19×prod-diff
18×times-frac
10×difference-of-squares
add-log-exp
fma-neg
add-cbrt-cube add-exp-log associate-/l*
pow1 distribute-lft-out--
expm1-log1p-u flip3-- log1p-expm1-u flip--
associate-/r*
sub-neg sqrt-div diff-log associate-/l/
cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 118
Calls
4 calls:
9.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
10.0ms
(- (* b b) (* (* 4.0 c) a))
112.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
66.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

series362.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
49.0ms
(- (* b b) (* (* 4.0 c) a))
142.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
93.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

simplify2.2s

Counts
130 → 130
Iterations
IterNodes
done5000
22179
1509
0198

prune816.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.9b

localize14.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune107.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 4.9b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
cbrt-undiv div-exp
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
9.0ms
(/ (* a c) b)
25.0ms
(/ (* -2.0 (/ (* a c) b)) a)

series52.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* a c) b)
27.0ms
(/ (* -2.0 (/ (* a c) b)) a)

simplify1.3s

Counts
57 → 57
Iterations
IterNodes
done5000
21941
1281
0101

prune509.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 4.9b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(log1p (/ (* a c) b))
0.3b
(/ (* a c) b)
0.3b
(expm1 (log1p (/ (* a c) b)))
0.3b
(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) a)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-/r* times-frac
expm1-log1p-u
pow1 cbrt-undiv div-exp log1p-expm1-u add-log-exp
clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
log1p-udef expm1-log1p log1p-expm1 expm1-udef
Counts
4 → 68
Calls
4 calls:
1.0ms
(log1p (/ (* a c) b))
14.0ms
(/ (* a c) b)
0.0ms
(expm1 (log1p (/ (* a c) b)))
15.0ms
(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) a)

series404.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(log1p (/ (* a c) b))
25.0ms
(/ (* a c) b)
144.0ms
(expm1 (log1p (/ (* a c) b)))
141.0ms
(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) a)

simplify1.3s

Counts
80 → 80
Iterations
IterNodes
done5001
21735
1333
0140

prune548.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 4.9b

regimes833.0ms

Accuracy

0% (6.9b remaining)

Error of 12.1b against oracle of 5.2b and baseline of 12.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample3.8s

Algorithm
intervals
Results
957.0ms1343×body320valid
852.0ms4872×body160valid
701.0ms16189×pre80true
633.0ms8189×body80nan
170.0ms1785×body80valid