Details

Time bar (total: 4.9s)

sample680.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 99.986886%

Space saved by search: 99.993135%

Guaranteed chance to sample good point: 88.065532%

Results
15.0ms104×body320valid
10.0ms100×body160valid
8.0ms270×pre80true
4.0ms22×body640valid
2.0ms30×body80valid
1.0ms14×body80nan

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 51.9b

Counts
2 → 1

localize15.0ms

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))
26.4b
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite27.0ms

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:
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(- (* b b) (* (* 4.0 a) c))
24.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify43.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0396773
11550683
25001673

prune121.0ms

Filtered
63 candidates to 82 candidates (-30.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New79382
Fresh000
Picked101
Done000
Total80383

Merged error: 0.1b

Counts
83 → 3

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

rewrite48.0ms

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))))
18.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
12.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series122.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4.0 a) c))
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
42.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
58.0ms
(/ (+ 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 (90.0ms)

IterNodesCost
06432666
132102408
250012396

prune296.0ms

Filtered
106 candidates to 163 candidates (-53.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1567163
Fresh112
Picked101
Done000
Total1588166

Merged error: 0b

Counts
166 → 8

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))))
0.1b
(* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.4b
(/ (* 4.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
10×prod-exp cbrt-unprod add-log-exp
7×associate-*r*
6×pow1 cbrt-undiv add-cube-cbrt div-exp
4×sub-neg flip3-- associate-*r/ flip-- distribute-lft-out-- difference-of-squares
3×diff-log associate-*l*
2×distribute-rgt-in distribute-rgt-neg-in distribute-lft-in sqrt-prod associate-/r/
1×associate--l- neg-sub0 frac-2neg times-frac pow-prod-down neg-log clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 85
Calls
4 calls:
4.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
11.0ms
(* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
17.0ms
(/ (* 4.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series98.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4.0 a) c))
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
28.0ms
(* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
46.0ms
(/ (* 4.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify89.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
05181106
13294871
25002864

prune139.0ms

Filtered
62 candidates to 97 candidates (-56.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New95297
Fresh437
Picked011
Done000
Total996105

Merged error: 0b

Counts
105 → 6

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))))
0.3b
(/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.3b
(* (/ 4.0 a) (/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×*-un-lft-identity
30×add-exp-log add-cbrt-cube
24×times-frac
15×add-cube-cbrt
13×associate-*r* associate-*l*
10×add-log-exp
9×cbrt-undiv div-exp prod-exp cbrt-unprod
8×distribute-lft-out-- difference-of-squares
7×associate-/r*
6×pow1
4×flip3-- distribute-rgt-neg-in sqrt-prod associate-/r/ flip--
3×diff-log div-inv
2×sub-neg unswap-sqr
1×associate--l- neg-sub0 frac-times frac-2neg associate-*r/ pow-prod-down neg-log associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 113
Calls
4 calls:
6.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
11.0ms
(/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
18.0ms
(* (/ 4.0 a) (/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series121.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4.0 a) c))
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
56.0ms
(/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
42.0ms
(* (/ 4.0 a) (/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify74.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06161527
131581262
250021262

prune161.0ms

Filtered
82 candidates to 125 candidates (-52.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh044
Picked011
Done011
Total1256131

Merged error: 0b

Counts
131 → 6

regimes173.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02713
12713

end0.0ms

sample2.3s

Algorithm
intervals
sampling

Space saved by range analysis: 99.986886%

Space saved by search: 99.993135%

Guaranteed chance to sample good point: 88.065532%

Results
533.0ms3588×body320valid
436.0ms2933×body160valid
259.0ms8462×pre80true
106.0ms537×body640valid
51.0ms942×body80valid
23.0ms462×body80nan

Profiling

Loading profile data...