Details

Time bar (total: 6.0s)

sample75.0ms

Algorithm
intervals
Results
15.0ms286×body80nan
15.0ms123×body320valid
14.0ms542×pre80true
7.0ms88×body160valid
3.0ms17×body640valid
2.0ms28×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

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: 53.2b

Counts
2 → 1

localize11.0ms

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
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
24.8b
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
6.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(- (* b b) (* (* 4.0 a) c))
12.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
43.0ms
(- (* b b) (* (* 4.0 a) c))
111.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
77.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify47.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0405779
11563685
25002674

prune183.0ms

Filtered
82 candidates to 63 candidates (76.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New79382
Fresh000
Picked011
Done000
Total79483

Merged error: 0.1b

Counts
83 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.4b
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
82×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
18×add-exp-log add-cbrt-cube
11×distribute-rgt-neg-in sqrt-prod
10×add-log-exp
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 div-inv
3×diff-log associate-/l/
2×sub-neg frac-2neg prod-exp clear-num cbrt-unprod
1×associate--l- neg-sub0 flip3-+ neg-log flip-+
Counts
4 → 151
Calls
4 calls:
4.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
21.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
13.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series458.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b b) (* (* 4.0 a) c))
74.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
152.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
182.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify116.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
06422664
131422400
250022388

prune423.0ms

Filtered
163 candidates to 106 candidates (65.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1558163
Fresh112
Picked101
Done101
Total1589167

Merged error: 0b

Counts
167 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (* (+ 0 (* 4.0 (* a c))) (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 2.0 a))
0.4b
(* (+ 0 (* 4.0 (* a c))) (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
39×add-sqr-sqrt
33×*-un-lft-identity
30×add-cbrt-cube
27×associate-*r*
24×times-frac
17×prod-exp
16×add-cube-cbrt div-exp
10×add-log-exp
9×cbrt-undiv cbrt-unprod
8×distribute-lft-out-- difference-of-squares
6×pow1 associate-/l/
4×frac-times distribute-rgt-neg-in flip3-+ associate-*l/ sqrt-prod flip-+
3×rec-exp flip3-- diff-log 1-exp associate-*l* flip-- unswap-sqr
2×sub-neg associate-*r/ associate-/r/ un-div-inv div-inv
1×associate--l- neg-sub0 frac-2neg pow-prod-down neg-log clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 119
Calls
4 calls:
4.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
17.0ms
(/ (* (+ 0 (* 4.0 (* a c))) (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 2.0 a))
19.0ms
(* (+ 0 (* 4.0 (* a c))) (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series467.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* b b) (* (* 4.0 a) c))
80.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
149.0ms
(/ (* (+ 0 (* 4.0 (* a c))) (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 2.0 a))
187.0ms
(* (+ 0 (* 4.0 (* a c))) (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify202.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
07271751
146881415
250021399

prune314.0ms

Filtered
131 candidates to 83 candidates (63.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1301131
Fresh178
Picked011
Done000
Total1319140

Merged error: 0b

Counts
140 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.3b
(* (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ 1 (* 2.0 a)))
0.4b
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
61×*-un-lft-identity
51×add-exp-log
46×times-frac
29×add-cube-cbrt
27×associate-*l* add-cbrt-cube
20×prod-exp
16×div-exp distribute-lft-out-- difference-of-squares
10×add-log-exp
8×cbrt-undiv distribute-rgt-neg-in sqrt-prod cbrt-unprod
7×associate-*r* associate-/r*
6×pow1
4×rec-exp flip3-- 1-exp associate-/r/ flip--
3×diff-log div-inv associate-/l*
2×sub-neg associate-/l/ unswap-sqr
1×associate--l- neg-sub0 frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down neg-log associate-*l/ clear-num un-div-inv *-commutative flip-+
Counts
4 → 146
Calls
4 calls:
4.0ms
(- (* b b) (* (* 4.0 a) c))
9.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.0ms
(* (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ 1 (* 2.0 a)))
13.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series473.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b b) (* (* 4.0 a) c))
81.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
150.0ms
(* (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ 1 (* 2.0 a)))
193.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify142.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (122.0ms)

IterNodesCost
07352387
139132043
250032036

prune356.0ms

Filtered
158 candidates to 100 candidates (63.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1580158
Fresh077
Picked011
Done011
Total1589167

Merged error: 0b

Counts
167 → 9

regimes132.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02914
13114
23114

end0.0ms

sample2.0s

Algorithm
intervals
Results
476.0ms3641×body320valid
428.0ms16473×pre80true
362.0ms8473×body80nan
254.0ms2942×body160valid
88.0ms490×body640valid
42.0ms927×body80valid

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