Details

Time bar (total: 7.5s)

sample52.0ms

Algorithm
intervals
Results
11.0ms140×body160valid
10.0ms251×body80nan
9.0ms507×pre80true
5.0ms116×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize16.0ms

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))
28.0b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite105.0ms

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:
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
66.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms
(- (* b b) (* (* 4.0 a) c))
21.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series277.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
97.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
45.0ms
(- (* b b) (* (* 4.0 a) c))
74.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify49.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0405779
11563685
25002674

prune338.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

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:
22.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
83.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
8.0ms
(- (* b b) (* (* 4.0 a) c))
59.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series422.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
135.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
45.0ms
(- (* b b) (* (* 4.0 a) c))
169.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify112.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
06422664
131752400
250032388

prune990.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
154×*-un-lft-identity
114×times-frac
66×distribute-lft-out
44×add-sqr-sqrt add-cube-cbrt distribute-rgt-neg-in
36×associate-/l*
22×distribute-lft-neg-in neg-mul-1
18×add-exp-log add-cbrt-cube
14×add-log-exp
10×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/
5×flip3-+ flip-+
4×pow1 neg-log sum-log div-inv
3×associate-/l/
2×neg-sub0 frac-2neg prod-exp clear-num cbrt-unprod
1×+-commutative associate-+l- associate-+r- sub-neg distribute-neg-out flip3-- diff-log unsub-neg flip--
Counts
4 → 178
Calls
4 calls:
35.0ms
(+ (- b) (- (sqrt (- (* b b) (* (* 4.0 a) c)))))
128.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (+ (- b) (- (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 2.0 a))
8.0ms
(- (* b b) (* (* 4.0 a) c))
88.0ms
(/ (+ 0 (* 4.0 (* a c))) (+ (- b) (- (sqrt (- (* b b) (* (* 4.0 a) c))))))

series418.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(+ (- b) (- (sqrt (- (* b b) (* (* 4.0 a) c)))))
134.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (+ (- b) (- (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 2.0 a))
45.0ms
(- (* b b) (* (* 4.0 a) c))
166.0ms
(/ (+ 0 (* 4.0 (* a c))) (+ (- b) (- (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify125.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
06952921
135452593
250022576

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ b (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (/ (+ 0 (* 4.0 (* a c))) (* (- 1) (+ b (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 2.0 a))
0.3b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (* (- 1) (+ b (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×times-frac
12×cbrt-undiv *-un-lft-identity div-exp associate-/l*
10×add-sqr-sqrt add-cube-cbrt
8×add-log-exp
6×associate-*r/ prod-exp associate-/r/ cbrt-unprod
5×flip3-+ flip-+
4×pow1 div-inv
3×associate-/l/
2×frac-2neg clear-num associate-/r*
1×+-commutative sub-neg flip3-- diff-log sum-log flip-- distribute-lft-out
Counts
4 → 91
Calls
4 calls:
14.0ms
(+ b (sqrt (- (* b b) (* (* 4.0 a) c))))
51.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (* (- 1) (+ b (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 2.0 a))
8.0ms
(- (* b b) (* (* 4.0 a) c))
39.0ms
(/ (+ 0 (* 4.0 (* a c))) (* (- 1) (+ b (sqrt (- (* b b) (* (* 4.0 a) c))))))

series438.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ b (sqrt (- (* b b) (* (* 4.0 a) c))))
147.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (* (- 1) (+ b (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 2.0 a))
44.0ms
(- (* b b) (* (* 4.0 a) c))
178.0ms
(/ (+ 0 (* 4.0 (* a c))) (* (- 1) (+ b (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify133.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
06321535
139581198
250021179

prune545.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes243.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03615
14415
25115
35315
45315

end0.0ms

sample1.5s

Algorithm
intervals
Results
360.0ms4526×body160valid
335.0ms8645×body80nan
303.0ms16645×pre80true
144.0ms3474×body80valid