Details

Time bar (total: 4.1s)

sample39.0ms

Algorithm
intervals
Results
7.0ms40×body2560valid
6.0ms187×body80valid
5.0ms31×body1280valid
3.0ms96×body80nan
2.0ms8×body5120valid
1.0ms9×body640valid
1.0ms6×body320valid
0.0ms3×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1337
2467
3497
4497

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.8b
(- (* b_2 b_2) (* a c))
0.9b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
28.6b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
78×*-un-lft-identity
61×prod-diff
58×add-cube-cbrt
38×sqrt-prod
26×distribute-rgt-neg-in
21×distribute-lft-neg-in times-frac
11×fma-neg
10×distribute-lft-out-- add-log-exp difference-of-squares
7×neg-mul-1 associate-/l*
6×add-exp-log add-cbrt-cube
5×pow1
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×diff-log associate-/r*
2×sub-neg sqrt-div associate-/l/
1×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log clear-num div-inv
Counts
4 → 171
Calls
4 calls:
74.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
8.0ms
(- (* b_2 b_2) (* a c))
29.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
11.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
31.0ms
(- (* b_2 b_2) (* a c))
67.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
55.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify68.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05493055
118262150
250022063

prune348.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
0.8b
(- (* b_2 b_2) (* a c))
0.9b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
28.6b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
171×add-sqr-sqrt
170×*-un-lft-identity
165×times-frac
118×add-cube-cbrt
61×prod-diff
46×sqrt-prod
34×distribute-rgt-neg-in
27×associate-/r*
26×distribute-lft-out-- difference-of-squares
21×distribute-lft-neg-in
15×add-exp-log
11×fma-neg
10×add-log-exp
9×associate-/r/ add-cbrt-cube
7×neg-mul-1 flip3-- div-exp flip--
6×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv diff-log associate-/l*
2×sub-neg rec-exp sqrt-div 1-exp
1×associate--l- neg-sub0 rem-sqrt-square pow-flip frac-2neg sqrt-pow1 pow1/2 neg-log clear-num inv-pow
Counts
4 → 257
Calls
4 calls:
47.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
8.0ms
(- (* b_2 b_2) (* a c))
32.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
11.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
31.0ms
(- (* b_2 b_2) (* a c))
68.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
55.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify102.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07704550
132153424
250023236

prune365.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 a) (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
0.8b
(- (* b_2 b_2) (* a c))
0.9b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
28.6b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
181×prod-diff
146×add-sqr-sqrt
139×*-un-lft-identity
130×add-cube-cbrt
95×sqrt-prod
62×distribute-rgt-in distribute-lft-in
59×distribute-rgt-neg-in
57×distribute-lft-neg-in
19×neg-mul-1
13×add-exp-log associate-*l*
11×times-frac fma-neg
10×add-log-exp
9×add-cbrt-cube
7×pow1 associate-*r*
5×flip3-- flip--
4×expm1-log1p-u sub-neg prod-exp log1p-expm1-u distribute-lft-out-- difference-of-squares
3×diff-log unswap-sqr
2×frac-times sqrt-div associate-*r/ div-exp cbrt-unprod
1×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp pow-prod-down neg-log associate-*l/ *-commutative div-inv
Counts
4 → 292
Calls
4 calls:
104.0ms
(* (/ 1 a) (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
8.0ms
(- (* b_2 b_2) (* a c))
32.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
11.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series463.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(* (/ 1 a) (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
37.0ms
(- (* b_2 b_2) (* a c))
63.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
60.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify104.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
09067441
132954548
250014309

prune337.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 8.3b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 8.3b

regimes238.0ms

Accuracy

84.2% (4.5b remaining)

Error of 10.1b against oracle of 5.6b and baseline of 33.8b

bsearch76.0ms

Steps
ItersRangePoint
6
4.231934083523606e+52
2.717919616353272e+53
2.678238127073729e+53
9
-1.1345718484749e-82
-1.1127264026331332e-88
-1.3696943711263392e-83

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03315
13315

end0.0ms

sample1.1s

Algorithm
intervals
Results
200.0ms1050×body2560valid
200.0ms5881×body80valid
142.0ms923×body1280valid
83.0ms2795×body80nan
54.0ms425×body640valid
26.0ms111×body5120valid
21.0ms232×body320valid
6.0ms102×body160valid