Details

Time bar (total: 3.8s)

analyze265.0ms

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

sample69.0ms

Algorithm
intervals
Results
16.0ms116×body320valid
8.0ms91×body160valid
4.0ms20×body640valid
1.0ms29×body80valid

simplify200.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (198.0ms)

IterNodesCost
0193116
1193116

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 51.6b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* 4.0 (* a c))))
0.1b
(- (* b b) (* 4.0 (* a c)))
0.3b
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
51.5b
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×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)))
10.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
9.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series62.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
8.0ms
(- (* b b) (* 4.0 (* a c)))
24.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
15.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify41.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
053401316

prune172.0ms

Filtered
62 candidates to 82 candidates (-32.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New73982
Fresh000
Picked101
Done000
Total74983

Merged error: 2.8b

Counts
83 → 9

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

prune30.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New000
Fresh088
Picked011
Done000
Total099

Merged error: 2.8b

Counts
9 → 9

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
15×add-sqr-sqrt
13×associate-*l*
11×cbrt-undiv times-frac div-exp
10×add-cube-cbrt *-un-lft-identity
4×pow1
3×associate-*r*
2×associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
2 → 62
Calls
2 calls:
9.0ms
(/ (* -2.0 (* (/ a b) c)) (* a 2.0))
6.0ms
(* (/ a b) c)

series10.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (* -2.0 (* (/ a b) c)) (* a 2.0))
5.0ms
(* (/ a b) c)

simplify41.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04991490
14991490

prune123.0ms

Filtered
40 candidates to 68 candidates (-70.0%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New581068
Fresh077
Picked101
Done011
Total591877

Merged error: 2.8b

Counts
77 → 18

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt a) (sqrt b))
0.3b
(* (sqrt c) (/ (sqrt a) (sqrt b)))
0.3b
(* (sqrt c) (/ (sqrt a) (sqrt b)))
0.5b
(* (* (sqrt c) (/ (sqrt a) (sqrt b))) (* (sqrt c) (/ (sqrt a) (sqrt b))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
146×sqrt-prod
142×add-sqr-sqrt
124×times-frac
86×add-cube-cbrt *-un-lft-identity
81×associate-*r*
52×add-exp-log add-cbrt-cube
47×pow1
25×prod-exp cbrt-unprod
20×unswap-sqr
19×pow-prod-down
13×associate-*l*
9×cbrt-undiv div-exp
7×sqrt-undiv sqrt-unprod associate-*r/
6×associate-/r* associate-/l*
4×pow-sqr pow-prod-up add-log-exp
3×*-commutative div-inv
2×pow-plus
1×pow2 frac-times frac-2neg swap-sqr associate-*l/ clear-num rem-square-sqrt
Counts
4 → 252
Calls
4 calls:
5.0ms
(/ (sqrt a) (sqrt b))
14.0ms
(* (sqrt c) (/ (sqrt a) (sqrt b)))
14.0ms
(* (sqrt c) (/ (sqrt a) (sqrt b)))
18.0ms
(* (* (sqrt c) (/ (sqrt a) (sqrt b))) (* (sqrt c) (/ (sqrt a) (sqrt b))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ (sqrt a) (sqrt b))
13.0ms
(* (sqrt c) (/ (sqrt a) (sqrt b)))
18.0ms
(* (sqrt c) (/ (sqrt a) (sqrt b)))
12.0ms
(* (* (sqrt c) (/ (sqrt a) (sqrt b))) (* (sqrt c) (/ (sqrt a) (sqrt b))))

simplify76.0ms

Algorithm
egg-herbie
Counts
264 → 264
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049602447
149602447

prune151.0ms

Filtered
126 candidates to 264 candidates (-109.5%)
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New2568264
Fresh21416
Picked101
Done011
Total25923282

Merged error: 2.8b

Counts
282 → 23

regimes414.0ms

Accuracy

0% (3.5b remaining)

Error of 6.1b against oracle of 2.6b and baseline of 6.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms

sample2.0s

Algorithm
intervals
Results
500.0ms3657×body320valid
269.0ms2950×body160valid
86.0ms474×body640valid
43.0ms919×body80valid

Profiling

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