Details

Time bar (total: 6.3s)

sample58.0ms

Algorithm
intervals
Results
15.0ms138×body320valid
9.0ms488×pre80true
8.0ms232×body80nan
6.0ms88×body160valid
1.0ms10×body640valid
1.0ms20×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01417
12517
24516
38716
410616
511416
done11416

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
26.1b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite78.0ms

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-exp-log add-cbrt-cube
add-log-exp
fma-neg
pow1 div-inv
expm1-log1p-u log1p-expm1-u
cbrt-undiv flip3-- div-exp associate-/r* flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 183
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
37.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
22.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series303.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
44.0ms
(- (* b b) (* (* 4.0 a) c))
111.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
76.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify998.0ms

Counts
195 → 195
Iterations

Useful iterations: done (991.0ms)

IterNodesCost
03214967
17804592
230174265
done50014264

prune483.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.5b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune37.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.5b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-exp-log add-cbrt-cube
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×cbrt-undiv div-exp
associate-/l*
associate-/r* div-inv
prod-exp cbrt-unprod
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 77
Calls
2 calls:
10.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
3.0ms
(/ (* a c) b)

series40.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
20.0ms
(/ (* a c) b)

simplify915.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (305.0ms)

IterNodesCost
01711200
14591154
22303992
done5001992

prune199.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.5b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×add-exp-log add-cbrt-cube
associate-/l*
cbrt-undiv div-exp
associate-/r* div-inv
expm1-log1p-u
pow1 log1p-expm1-u add-log-exp
frac-2neg prod-exp clear-num cbrt-unprod
log1p-udef expm1-log1p log1p-expm1 associate-/l/ expm1-udef
Counts
4 → 95
Calls
4 calls:
0.0ms
(log1p (/ (* a c) b))
5.0ms
(/ (/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) 2.0) a)
3.0ms
(/ (* a c) b)
0.0ms
(expm1 (log1p (/ (* a c) b)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(log1p (/ (* a c) b))
86.0ms
(/ (/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) 2.0) a)
19.0ms
(/ (* a c) b)
89.0ms
(expm1 (log1p (/ (* a c) b)))

simplify658.0ms

Counts
107 → 107
Iterations

Useful iterations: done (655.0ms)

IterNodesCost
02061524
14891317
221501171
done50011168

prune232.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.5b

regimes242.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample1.7s

Algorithm
intervals
Results
402.0ms3618×body320valid
306.0ms16096×pre80true
285.0ms8096×body80nan
217.0ms2913×body160valid
79.0ms528×body640valid
36.0ms941×body80valid