Details

Time bar (total: 4.6s)

sample51.0ms

Algorithm
intervals
Results
10.0ms146×body160valid
10.0ms540×pre80true
9.0ms284×body80nan
4.0ms110×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize12.0ms

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

rewrite32.0ms

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)))
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
7.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series305.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
45.0ms
(- (* b b) (* (* 4.0 a) c))
84.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify46.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0405779
11563685
25002674

prune203.0ms

Filtered
82 candidates to 63 candidates (76.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

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

rewrite47.0ms

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) (sqrt (- (* b b) (* (* 4.0 a) c))))
16.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
3.0ms
(- (* b b) (* (* 4.0 a) c))
13.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series456.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
149.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
48.0ms
(- (* b b) (* (* 4.0 a) c))
182.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
06422665
131752400
250032388

prune420.0ms

Filtered
163 candidates to 106 candidates (65.0%)
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
(/ (* 2.0 a) (* 4.0 (* a c)))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
0.4b
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
152×add-exp-log
92×add-cbrt-cube
73×prod-exp
46×div-exp
41×cbrt-unprod
26×cbrt-undiv
14×add-sqr-sqrt
12×*-un-lft-identity
9×pow1
8×add-cube-cbrt rec-exp 1-exp
7×associate-*r*
6×add-log-exp
5×flip3-- times-frac associate-*l* associate-/r/ flip--
4×frac-times associate-*r/ associate-/l*
3×sub-neg div-inv
2×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num associate-/r* distribute-lft-out-- difference-of-squares
1×distribute-rgt-neg-in diff-log sqrt-prod *-commutative inv-pow unswap-sqr
Counts
4 → 139
Calls
4 calls:
7.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
4.0ms
(- (* b b) (* (* 4.0 a) c))
21.0ms
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
17.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series298.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
49.0ms
(- (* b b) (* (* 4.0 a) c))
149.0ms
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
88.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify39.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07952125
150011586

prune296.0ms

Filtered
151 candidates to 72 candidates (47.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
38×add-sqr-sqrt *-un-lft-identity
24×times-frac add-cbrt-cube
23×div-exp
18×add-cube-cbrt
12×prod-exp
10×cbrt-undiv associate-/l* distribute-lft-out-- add-log-exp difference-of-squares
7×pow1
5×rec-exp distribute-rgt-neg-in 1-exp sqrt-prod
4×associate-/r* cbrt-unprod
3×flip3-- diff-log associate-/r/ flip--
2×sub-neg pow-flip frac-2neg clear-num div-inv associate-/l/
1×associate--l- neg-sub0 frac-times div-sub associate-*r/ pow-prod-down neg-log associate-*l/ inv-pow
Counts
4 → 119
Calls
4 calls:
10.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)
8.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(- (* b b) (* (* 4.0 a) c))
15.0ms
(/ 1 (* (/ 2.0 4.0) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)))

series344.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)
80.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
48.0ms
(- (* b b) (* (* 4.0 a) c))
126.0ms
(/ 1 (* (/ 2.0 4.0) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)))

simplify67.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06311589
127131392
250011386

prune267.0ms

Filtered
131 candidates to 77 candidates (58.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.4b 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
02411
12411

end0.0ms

sample1.4s

Algorithm
intervals
Results
312.0ms4486×body160valid
304.0ms16546×pre80true
289.0ms8546×body80nan
129.0ms3514×body80valid