Details

Time bar (total: 4.4s)

sample49.0ms

Algorithm
intervals
Results
10.0ms36×body1280valid
8.0ms37×body2560valid
7.0ms184×body80valid
3.0ms91×body80nan
2.0ms16×body640valid
1.0ms9×body320valid
1.0ms3×body5120valid
0.0ms3×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0299
1659
21219
31519
41609
51649
61649

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
0.6b
(- (* b b) (* 4.0 (* a c)))
1.0b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
25.6b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt prod-diff
60×*-un-lft-identity
48×add-cube-cbrt
36×sqrt-prod
24×distribute-rgt-neg-in
21×distribute-lft-neg-in
11×fma-neg
10×add-log-exp
9×add-exp-log add-cbrt-cube
7×neg-mul-1 times-frac associate-/l*
6×distribute-lft-out-- difference-of-squares
5×pow1
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×diff-log
2×cbrt-undiv sub-neg sqrt-div div-exp associate-/l/
1×associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 157
Calls
4 calls:
73.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
9.0ms
(- (* b b) (* 4.0 (* a c)))
31.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
11.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series267.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
40.0ms
(- (* b b) (* 4.0 (* a c)))
72.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
68.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify77.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05903305
121012212
250022128

prune353.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.6b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune23.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) a)
0.6b
(- (* b b) (* 4.0 (* a c)))
1.0b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
25.6b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite130.0ms

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:
71.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) a)
9.0ms
(- (* b b) (* 4.0 (* a c)))
32.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
11.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series265.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) a)
40.0ms
(- (* b b) (* 4.0 (* a c)))
72.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
65.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify79.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05663514
119662446
250012361

prune345.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 6.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ a (- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))))
0.6b
(- (* b b) (* 4.0 (* a c)))
1.0b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
25.6b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite116.0ms

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:
45.0ms
(/ 1 (/ a (- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))))
9.0ms
(- (* b b) (* 4.0 (* a c)))
38.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
10.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series454.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(/ 1 (/ a (- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))))
227.0ms
(- (* b b) (* 4.0 (* a c)))
71.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
60.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify104.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07825140
133273846
250023657

prune382.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.5b

regimes199.0ms

Accuracy

86% (4.8b remaining)

Error of 10.5b against oracle of 5.7b and baseline of 39.9b

bsearch79.0ms

Steps
ItersRangePoint
6
2.905752377093217e+53
1.5130510757279288e+54
1.4983382189642058e+54
6
-7.09976396972575e-70
-5.325167427794927e-71
-5.6439472304372656e-71

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04220
14220

end0.0ms

sample1.2s

Algorithm
intervals
Results
242.0ms1059×body2560valid
229.0ms5913×body80valid
167.0ms879×body1280valid
106.0ms3016×body80nan
68.0ms461×body640valid
34.0ms122×body5120valid
27.0ms211×body320valid
9.0ms123×body160valid