Details

Time bar (total: 6.1s)

sample76.0ms

Algorithm
intervals
Results
16.0ms114×body320valid
13.0ms490×pre80true
11.0ms234×body80nan
9.0ms90×body160valid
7.0ms20×body640valid
2.0ms32×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1469
2869
31139
41219
51219

prune2.0ms

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: 52.0b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.1b
(- (* b b) (* (* 4.0 a) c))
26.5b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
11×add-sqr-sqrt
10×add-cube-cbrt fma-def add-log-exp
9×add-exp-log add-cbrt-cube
6×distribute-rgt-neg-in distribute-lft-out
5×pow1 times-frac associate-/l*
4×expm1-log1p-u log1p-expm1-u
3×distribute-lft-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 neg-mul-1 sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 90
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
4.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series297.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
103.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
47.0ms
(- (* b b) (* (* 4.0 a) c))
78.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify50.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0438854
11702750
25001735

prune219.0ms

Filtered
102 candidates to 82 candidates (80.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1002102
Fresh000
Picked011
Done000
Total1003103

Merged error: 0.1b

Counts
103 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
123×add-sqr-sqrt *-un-lft-identity
90×times-frac
79×add-cube-cbrt
61×prod-diff
41×sqrt-prod
32×distribute-rgt-neg-in
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
21×distribute-lft-neg-in
18×add-exp-log add-cbrt-cube
11×fma-neg
10×add-log-exp
8×associate-/r*
7×cbrt-undiv neg-mul-1 div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 expm1-log1p-u log1p-expm1-u 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 → 231
Calls
4 calls:
10.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(- (* b b) (* (* 4.0 a) c))
12.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
17.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

series459.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
49.0ms
(- (* b b) (* (* 4.0 a) c))
185.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
151.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

simplify166.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 2 (122.0ms)

IterNodesCost
08325099
139673830
250013828

prune509.0ms

Filtered
243 candidates to 137 candidates (56.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2385243
Fresh011
Picked101
Done101
Total2406246

Merged error: 0b

Counts
246 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (* 2.0 a) (* 4.0 (* a c)))
0.2b
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
0.3b
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
180×prod-diff
152×add-exp-log
135×add-sqr-sqrt
133×*-un-lft-identity
125×add-cube-cbrt
92×sqrt-prod add-cbrt-cube
73×prod-exp
62×distribute-rgt-in distribute-lft-in
59×distribute-rgt-neg-in
57×distribute-lft-neg-in
46×div-exp
41×cbrt-unprod
26×cbrt-undiv
19×neg-mul-1
10×fma-neg
9×pow1
8×rec-exp 1-exp add-log-exp
7×associate-*r*
5×flip3-- times-frac associate-*l* associate-/r/ flip--
4×expm1-log1p-u frac-times associate-*r/ log1p-expm1-u associate-/l* distribute-lft-out-- difference-of-squares
3×sub-neg div-inv
2×pow-flip frac-2neg diff-log pow-prod-down associate-*l/ clear-num associate-/r*
1×associate--l- neg-sub0 neg-log *-commutative inv-pow unswap-sqr
Counts
4 → 343
Calls
4 calls:
10.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
11.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
17.0ms
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
22.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series330.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
12.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
151.0ms
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
89.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify108.0ms

Algorithm
egg-herbie
Counts
355 → 355
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
0124810439
150027042

prune401.0ms

Filtered
355 candidates to 108 candidates (30.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3541355
Fresh145
Picked011
Done000
Total3556361

Merged error: 0b

Counts
361 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
151×add-exp-log
96×prod-exp
67×add-cbrt-cube
61×prod-diff
53×add-sqr-sqrt *-un-lft-identity
49×add-cube-cbrt
36×cbrt-unprod
31×sqrt-prod
24×div-exp
22×distribute-rgt-neg-in
21×distribute-lft-neg-in
19×pow1
12×cbrt-undiv rec-exp 1-exp
11×fma-neg
10×add-log-exp
9×associate-*l* pow-prod-down
7×neg-mul-1
6×times-frac
4×expm1-log1p-u flip3-- associate-*r/ associate-/r/ flip-- log1p-expm1-u
3×pow-flip diff-log associate-/l*
2×sub-neg div-inv distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 frac-2neg associate-*r* neg-log associate-*l/ clear-num associate-/r* *-commutative inv-pow
Counts
4 → 209
Calls
4 calls:
10.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(- (* b b) (* (* 4.0 a) c))
13.0ms
(/ 1 (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
20.0ms
(* (/ 1 (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 4.0 (* a c)))

series461.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
49.0ms
(- (* b b) (* (* 4.0 a) c))
172.0ms
(/ 1 (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
160.0ms
(* (/ 1 (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 4.0 (* a c)))

simplify139.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
09334398
145752894
250012891

prune314.0ms

Filtered
221 candidates to 94 candidates (42.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2210221
Fresh044
Picked011
Done011
Total2216227

Merged error: 0b

Counts
227 → 6

regimes93.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02713
12713

end0.0ms

sample2.2s

Algorithm
intervals
Results
510.0ms3584×body320valid
446.0ms16173×pre80true
394.0ms8173×body80nan
296.0ms2990×body160valid
100.0ms523×body640valid
46.0ms903×body80valid