Details

Time bar (total: 900.0ms)

analyze269.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample44.0ms

Algorithm
intervals
Results
14.0ms149×body160valid
8.0ms285×pre80true
6.0ms42×body320valid
3.0ms65×body80valid
1.0ms29×body80nan

simplify201.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (200.0ms)

IterNodesCost
0193116
1193116

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 42.2b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* 4.0 (* a c))))
0.2b
(- (* b b) (* 4.0 (* a c)))
0.2b
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
37.6b
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
add-exp-log add-cbrt-cube
add-log-exp
add-cube-cbrt
times-frac sqrt-prod associate-/l* difference-of-squares
pow1
flip3-- flip--
distribute-lft-out--
cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
4.0ms
(- (* b b) (* 4.0 (* a c)))
11.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
9.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series66.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
9.0ms
(- (* b b) (* 4.0 (* a c)))
26.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
15.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify39.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
053401316

prune226.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New681482
Fresh000
Picked101
Done000
Total691483

Merged error: 5.9b

Counts
83 → 14

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

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