Details

Time bar (total: 3.7s)

analyze281.0ms (7.6%)

Algorithm
1×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

sample52.0ms (1.4%)

Algorithm
1×intervals
Results
17.0ms113×body320valid
10.0ms102×body160valid
8.0ms287×pre80true
3.0ms15×body640valid
2.0ms31×body80nan
1.0ms26×body80valid

simplify221.0ms (6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (219.0ms)

IterNodesCost
0178416
1178416

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 52.8b

Counts
2 → 1

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
27.1b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite30.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-exp-log add-cbrt-cube
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
4 → 73
Calls

4 calls:

10.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
9.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
5.0ms
(* (* 3.0 a) c)
4.0ms
(- (* b b) (* (* 3.0 a) c))

series54.0ms (1.5%)

Counts
4 → 12
Calls

4 calls:

26.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
16.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
9.0ms
(- (* b b) (* (* 3.0 a) c))
3.0ms
(* (* 3.0 a) c)

simplify41.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050731207

prune220.0ms (5.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New711485
Fresh000
Picked101
Done000
Total721486

Merged error: 3.0b

Counts
86 → 14

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune46.0ms (1.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 3.0b

Counts
14 → 14

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite22.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l*
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 78
Calls

3 calls:

8.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))
7.0ms
(* -1.5 (/ (* a c) b))
4.0ms
(/ (* a c) b)

series16.0ms (0.4%)

Counts
3 → 9
Calls

3 calls:

6.0ms
(* -1.5 (/ (* a c) b))
5.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))
5.0ms
(/ (* a c) b)

simplify59.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04998653
14998653

prune184.0ms (5%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New78987
Fresh01212
Picked101
Done011
Total7922101

Merged error: 3.0b

Counts
101 → 22

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(/ a (sqrt b))
0.3b
(* -1.5 (/ a (sqrt b)))
0.3b
(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))
0.4b
(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))

rewrite47.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
97×add-exp-log add-cbrt-cube
57×times-frac
54×add-sqr-sqrt
46×add-cube-cbrt *-un-lft-identity
44×associate-*r*
39×prod-exp cbrt-unprod
31×cbrt-undiv div-exp sqrt-prod
11×pow1
7×associate-*r/ associate-/r*
4×associate-*l* pow-prod-down div-inv associate-/l* add-log-exp
3×associate-/l/ unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
Counts
4 → 173
Calls

4 calls:

15.0ms
(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))
11.0ms
(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))
8.0ms
(* -1.5 (/ a (sqrt b)))
4.0ms
(/ a (sqrt b))

series40.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

13.0ms
(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))
11.0ms
(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))
9.0ms
(* -1.5 (/ a (sqrt b)))
7.0ms
(/ a (sqrt b))

simplify57.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049781811
149781811

prune234.0ms (6.3%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1769185
Fresh61420
Picked101
Done011
Total18324207

Merged error: 3.0b

Counts
207 → 24

regimes524.0ms (14.1%)

Accuracy

Total 3.2b remaining (54.2%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms (0%)

sample1.5s (41.4%)

Algorithm
1×intervals
Results
564.0ms3743×body320valid
302.0ms2909×body160valid
266.0ms8843×pre80true
98.0ms490×body640valid
44.0ms858×body80valid
43.0ms843×body80nan

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