Details

Time bar (total: 6.0s)

sample65.0ms

Algorithm
intervals
Results
18.0ms121×body320valid
10.0ms516×pre80true
9.0ms260×body80nan
6.0ms91×body160valid
2.0ms15×body640valid
1.0ms29×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1469
2869
31139
41219
51219

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.9b

localize12.0ms

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
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
24.0b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
11×add-sqr-sqrt
10×add-cube-cbrt fma-def add-log-exp
9×add-exp-log add-cbrt-cube
6×distribute-rgt-neg-in distribute-lft-out
5×pow1 times-frac associate-/l*
4×expm1-log1p-u log1p-expm1-u
3×distribute-lft-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 neg-mul-1 sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 90
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
38.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
13.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series299.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
44.0ms
(- (* b b) (* (* 4.0 a) c))
105.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
81.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify49.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0438854
11702750
25002735

prune263.0ms

Filtered
102 candidates to 82 candidates (80.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
123×add-sqr-sqrt *-un-lft-identity
90×times-frac
79×add-cube-cbrt
61×prod-diff
41×sqrt-prod
32×distribute-rgt-neg-in
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
21×distribute-lft-neg-in
18×add-exp-log add-cbrt-cube
11×fma-neg
10×add-log-exp
8×associate-/r*
7×cbrt-undiv neg-mul-1 div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 expm1-log1p-u log1p-expm1-u 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 → 231
Calls
4 calls:
17.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
3.0ms
(- (* b b) (* (* 4.0 a) c))
46.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
28.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series463.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
44.0ms
(- (* b b) (* (* 4.0 a) c))
153.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
186.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify159.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
08325099
139673830
250013828

prune576.0ms

Filtered
243 candidates to 137 candidates (56.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.0b
(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.4b
(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
181×prod-diff
132×add-sqr-sqrt *-un-lft-identity
124×add-cube-cbrt
92×sqrt-prod
62×distribute-rgt-in distribute-lft-in
59×distribute-rgt-neg-in
57×distribute-lft-neg-in
19×neg-mul-1
18×add-exp-log add-cbrt-cube
11×fma-neg
10×add-log-exp
9×pow1
7×associate-*r*
6×prod-exp cbrt-unprod
4×expm1-log1p-u sub-neg flip3-- associate-*r/ flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
3×cbrt-undiv times-frac diff-log div-exp pow-prod-down associate-/l*
2×associate-/r/ associate-/l/
1×associate--l- neg-sub0 frac-2neg flip3-+ associate-*l* neg-log clear-num associate-/r* *-commutative flip-+ div-inv
Counts
4 → 285
Calls
4 calls:
19.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
50.0ms
(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
3.0ms
(- (* b b) (* (* 4.0 a) c))
27.0ms
(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series391.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
110.0ms
(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
45.0ms
(- (* b b) (* (* 4.0 a) c))
155.0ms
(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify90.0ms

Algorithm
egg-herbie
Counts
297 → 297
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010108634
150015618

prune485.0ms

Filtered
297 candidates to 108 candidates (36.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ 1 (* (/ 2.0 4.0) (/ (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* a c))))
0.4b
(/ (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* a c))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
155×add-exp-log
121×prod-diff
90×add-sqr-sqrt
88×*-un-lft-identity
84×add-cube-cbrt
71×add-cbrt-cube
65×div-exp
62×distribute-rgt-in distribute-lft-in
61×sqrt-prod
59×prod-exp
37×distribute-rgt-neg-in
36×distribute-lft-neg-in
28×cbrt-undiv
23×cbrt-unprod
12×neg-mul-1
11×rec-exp 1-exp
9×pow1
7×associate-*r*
6×add-log-exp
5×associate-*r/
4×expm1-log1p-u times-frac log1p-expm1-u associate-/l*
3×sub-neg flip3-- associate-*l* associate-/r/ flip--
2×pow-flip frac-2neg pow-prod-down clear-num associate-/r* div-inv associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-times fma-neg diff-log associate-*l/ *-commutative inv-pow unswap-sqr
Counts
4 → 260
Calls
4 calls:
59.0ms
(* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
3.0ms
(- (* b b) (* (* 4.0 a) c))
82.0ms
(/ 1 (* (/ 2.0 4.0) (/ (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* a c))))
50.0ms
(/ (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* a c))

series444.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
49.0ms
(- (* b b) (* (* 4.0 a) c))
168.0ms
(/ 1 (* (/ 2.0 4.0) (/ (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* a c))))
120.0ms
(/ (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* a c))

simplify74.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010856857
150024381

prune343.0ms

Filtered
272 candidates to 88 candidates (32.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211
12211

end0.0ms

sample1.6s

Algorithm
intervals
Results
375.0ms3627×body320valid
285.0ms16118×pre80true
269.0ms8118×body80nan
206.0ms2930×body160valid
72.0ms522×body640valid
32.0ms921×body80valid