Details

Time bar (total: 14.0s)

sample560.0ms

Algorithm
intervals
Results
345.0ms19×body640valid
31.0ms125×body320valid
26.0ms271×body80nan
20.0ms527×pre80true
14.0ms85×body160valid
2.0ms27×body80valid

simplify99.0ms

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: 53.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 c) a)))
0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
0.1b
(- (* b b) (* (* 4.0 c) a))
25.5b
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

rewrite206.0ms

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)))
112.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
13.0ms
(- (* b b) (* (* 4.0 c) a))
68.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

series427.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
143.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
69.0ms
(- (* b b) (* (* 4.0 c) a))
129.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

simplify2.8s

Counts
130 → 130
Iterations
IterNodes
done5000
22182
1509
0198

prune862.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.7b

localize18.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune64.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.7b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:
15.0ms
(/ (* a c) b)
28.0ms
(/ (* -2.0 (/ (* a c) b)) a)

series62.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (* a c) b)
25.0ms
(/ (* -2.0 (/ (* a c) b)) a)

simplify1.2s

Counts
57 → 57
Iterations
IterNodes
done5000
21941
1281
0101

prune494.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(log1p (/ (* a c) b))
0.2b
(/ (* a c) b)
0.3b
(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) a)
0.3b
(expm1 (log1p (/ (* a c) b)))

rewrite18.0ms

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:
0.0ms
(log1p (/ (* a c) b))
7.0ms
(/ (* a c) b)
8.0ms
(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) a)
0.0ms
(expm1 (log1p (/ (* a c) b)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(log1p (/ (* a c) b))
22.0ms
(/ (* a c) b)
139.0ms
(/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) a)
167.0ms
(expm1 (log1p (/ (* a c) b)))

simplify1.4s

Counts
80 → 80
Iterations
IterNodes
done5000
21741
1335
0140

prune509.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.7b

regimes701.0ms

Accuracy

0% (3.7b remaining)

Error of 6.4b against oracle of 2.7b and baseline of 6.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.2s8127×body80nan
983.0ms3699×body320valid
571.0ms2858×body160valid
541.0ms16127×pre80true
172.0ms497×body640valid
71.0ms946×body80valid