Details

Time bar (total: 6.1s)

sample57.0ms

Algorithm
intervals
Results
13.0ms279×body80nan
11.0ms146×body160valid
10.0ms535×pre80true
4.0ms110×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1469
2869
31139
41219
51219

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.6b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.3b
(- (* b b) (* (* 4.0 a) c))
28.5b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
483×add-sqr-sqrt
330×associate-*l* prod-diff
309×*-un-lft-identity
229×add-cube-cbrt
177×associate-*r*
125×unswap-sqr
75×swap-sqr
65×*-commutative
60×times-frac
30×difference-of-squares
28×distribute-lft-out
24×sqrt-prod
17×distribute-rgt-neg-in
15×fma-neg
12×associate-/r* distribute-lft-out--
10×fma-def add-log-exp
9×add-exp-log add-cbrt-cube
5×pow1 associate-/l*
4×expm1-log1p-u log1p-expm1-u
3×distribute-lft-neg-in
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative neg-mul-1 sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num cbrt-unprod div-inv
Counts
4 → 541
Calls
4 calls:
43.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
42.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
29.0ms
(- (* b b) (* (* 4.0 a) c))
37.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
110.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
43.0ms
(- (* b b) (* (* 4.0 a) c))
83.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify186.0ms

Algorithm
egg-herbie
Counts
553 → 553
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
014499181
149906678
250016678

prune641.0ms

Filtered
553 candidates to 170 candidates (30.7%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New53221553
Fresh000
Picked101
Done000
Total53321554

Merged error: 9.3b

Counts
554 → 21

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

prune56.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New000
Fresh02020
Picked011
Done000
Total02121

Merged error: 9.3b

Counts
21 → 21

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
1142×times-frac
808×add-sqr-sqrt associate-*r*
501×*-un-lft-identity
499×add-cube-cbrt
328×associate-*l*
148×unswap-sqr
109×*-commutative
77×associate-/l*
39×add-exp-log add-cbrt-cube
21×associate-/l/
18×associate-*r/ associate-/r*
15×div-inv
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×clear-num
3×frac-2neg un-div-inv
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
Counts
2 → 791
Calls
2 calls:
39.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
7.0ms
(/ (* a c) b)

series39.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
19.0ms
(/ (* a c) b)

simplify142.0ms

Algorithm
egg-herbie
Counts
797 → 797
Iterations

Useful iterations: 1 (60.0ms)

IterNodesCost
041418389
150018343

prune1.8s

Filtered
797 candidates to 566 candidates (71.0%)
Pruning

41 alts after pruning (41 fresh and 0 done)

PrunedKeptTotal
New77522797
Fresh01919
Picked101
Done101
Total77741818

Merged error: 9.1b

Counts
818 → 41

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* 2.0 a) (/ b a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
16×associate-*r*
15×associate-*l*
14×*-un-lft-identity
13×add-exp-log add-cube-cbrt add-cbrt-cube
11×times-frac
9×associate-*r/
7×unswap-sqr
6×pow1 prod-exp cbrt-unprod
4×associate-/l*
3×pow-prod-down associate-/r*
2×cbrt-undiv div-exp clear-num un-div-inv *-commutative
1×expm1-log1p-u frac-2neg log1p-expm1-u div-inv add-log-exp
Counts
1 → 60
Calls
1 calls:
12.0ms
(* (* 2.0 a) (/ b a))

series11.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(* (* 2.0 a) (/ b a))

simplify41.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0319290
11593255
25002255

prune116.0ms

Filtered
63 candidates to 43 candidates (68.3%)
Pruning

42 alts after pruning (41 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh23840
Picked011
Done000
Total6242104

Merged error: 9.1b

Counts
104 → 42

regimes799.0ms

Accuracy

58.6% (5.8b remaining)

Error of 14.9b against oracle of 9.1b and baseline of 23.1b

bsearch4.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03330
13330

end0.0ms

sample1.6s

Algorithm
intervals
Results
429.0ms8499×body80nan
329.0ms16499×pre80true
308.0ms4394×body160valid
130.0ms3606×body80valid