Details

Time bar (total: 4.8s)

sample54.0ms

Algorithm
intervals
Results
14.0ms146×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

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) (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))))

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)))
11.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
3.0ms
(- (* b b) (* (* 4.0 a) c))
7.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
105.0ms
(/ (+ (- 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))))

simplify47.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0405779
11563685
25002674

prune201.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

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)))))

rewrite49.0ms

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

series456.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
146.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
48.0ms
(- (* b b) (* (* 4.0 a) c))
184.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify115.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
06422664
131752400
250032388

prune436.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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 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)))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
312×add-exp-log
142×div-exp
138×add-cbrt-cube
137×prod-exp
57×cbrt-unprod
48×cbrt-undiv
40×1-exp
33×times-frac
26×add-sqr-sqrt
24×*-un-lft-identity
20×add-cube-cbrt
16×rec-exp
14×associate-/l*
7×associate-*r*
6×pow1 add-log-exp
5×flip3-- associate-*l* associate-/r/ flip-- div-inv
4×frac-times associate-*r/
3×sub-neg
2×distribute-rgt-in frac-2neg distribute-lft-in associate-*l/ clear-num associate-/r* distribute-lft-out-- difference-of-squares
1×distribute-rgt-neg-in diff-log pow-prod-down sqrt-prod *-commutative associate-/l/ unswap-sqr
Counts
4 → 197
Calls
4 calls:
7.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
4.0ms
(- (* b b) (* (* 4.0 a) c))
20.0ms
(/ (/ 1 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)))))

series295.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
49.0ms
(- (* b b) (* (* 4.0 a) c))
147.0ms
(/ (/ 1 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)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011713276
150012452

prune330.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize15.0ms

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
127×add-exp-log
84×div-exp
52×times-frac
50×add-sqr-sqrt *-un-lft-identity
47×add-cbrt-cube
30×add-cube-cbrt
28×prod-exp
25×1-exp
24×cbrt-undiv
20×associate-/l*
10×rec-exp distribute-lft-out-- add-log-exp difference-of-squares
8×cbrt-unprod
5×distribute-rgt-neg-in sqrt-prod
4×pow1 associate-/r* div-inv
3×flip3-- diff-log associate-/r/ flip-- associate-/l/
2×sub-neg frac-2neg clear-num
1×associate--l- neg-sub0 frac-times div-sub associate-*r/ neg-log associate-*l/
Counts
4 → 162
Calls
4 calls:
10.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)
12.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(- (* b b) (* (* 4.0 a) c))
17.0ms
(/ (/ 1 1) (* (/ 2.0 4.0) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)))

series344.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)
78.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
50.0ms
(- (* b b) (* (* 4.0 a) c))
126.0ms
(/ (/ 1 1) (* (/ 2.0 4.0) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)))

simplify96.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
09212262
144231938
250021904

prune298.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes98.0ms

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
330.0ms4486×body160valid
301.0ms16546×pre80true
287.0ms8546×body80nan
130.0ms3514×body80valid