Details

Time bar (total: 5.6s)

sample59.0ms

Algorithm
intervals
Results
10.0ms316×body80nan
9.0ms572×pre80true
9.0ms140×body160valid
8.0ms116×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
28.4b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite103.0ms

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:
8.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(- (* b b) (* (* 4.0 a) c))
65.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
20.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series276.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
41.0ms
(- (* b b) (* (* 4.0 a) c))
102.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
69.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify45.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0405779
11563685
25002674

prune194.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

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:
8.0ms
(- (* b b) (* (* 4.0 a) c))
21.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
82.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
58.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series421.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* b b) (* (* 4.0 a) c))
72.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
138.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
170.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify116.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
06422664
131752400
250032388

prune429.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
69×times-frac
63×add-cbrt-cube
54×add-sqr-sqrt *-un-lft-identity
45×div-exp
31×prod-exp
27×cbrt-undiv
26×add-cube-cbrt
17×cbrt-unprod
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
11×associate-/l*
8×1-exp add-log-exp
7×distribute-rgt-neg-in sqrt-prod div-inv
4×pow1
3×frac-2neg clear-num associate-/l/
2×flip3-- diff-log flip--
1×associate--l- neg-sub0 sub-neg div-sub associate-*r/ neg-log associate-/r/
Counts
4 → 156
Calls
4 calls:
22.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
43.0ms
(/ (* 1 (/ 4.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))) (* 2.0 a))
43.0ms
(/ 4.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))
65.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))

series433.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
121.0ms
(/ (* 1 (/ 4.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))) (* 2.0 a))
150.0ms
(/ 4.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))
94.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))

simplify121.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
08882614
147542173
250012172

prune384.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
124×add-exp-log
95×add-cbrt-cube
59×prod-exp
41×cbrt-unprod
39×div-exp
28×cbrt-undiv
24×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×associate-*r*
9×pow1
8×add-cube-cbrt associate-/l* distribute-lft-out-- add-log-exp difference-of-squares
7×1-exp
4×distribute-rgt-neg-in sqrt-prod
3×pow-prod-down div-inv
2×flip3-- frac-2neg diff-log associate-*r/ clear-num associate-/r* flip-- associate-/l/
1×associate--l- neg-sub0 sub-neg div-sub associate-*l* neg-log associate-/r/ *-commutative
Counts
4 → 134
Calls
4 calls:
22.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
77.0ms
(* (* 2.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))
47.0ms
(/ (* 1 4.0) (* (* 2.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))))
63.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))

series436.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
112.0ms
(* (* 2.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))
154.0ms
(/ (* 1 4.0) (* (* 2.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))))
97.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))

simplify109.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07872284
143081678
250021624

prune256.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

0% (0.5b 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
13113
23113

end0.0ms

sample1.4s

Algorithm
intervals
Results
291.0ms4439×body160valid
282.0ms8847×body80nan
280.0ms16847×pre80true
118.0ms3561×body80valid