Details

Time bar (total: 5.3s)

sample291.0ms

Algorithm
intervals
Results
12.0ms38×body2560valid
9.0ms181×body80valid
7.0ms30×body1280valid
4.0ms96×body80nan
3.0ms19×body640valid
2.0ms6×body5120valid
1.0ms7×body320valid
0.0ms1×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0197
1337
2467
3497
4497

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 35.8b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.3b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.4b
(- (* b_2 b_2) (* a c))
25.1b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite60.0ms

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:
15.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
26.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
4.0ms
(- (* b_2 b_2) (* a c))
7.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
70.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
33.0ms
(- (* b_2 b_2) (* a c))
78.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify74.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05493055
118262150
250012063

prune336.0ms

Filtered
183 candidates to 97 candidates (53.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1758183
Fresh000
Picked101
Done000
Total1768184

Merged error: 5.8b

Counts
184 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
0.3b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.4b
(- (* b_2 b_2) (* a c))
25.1b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite49.0ms

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:
17.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
10.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
4.0ms
(- (* b_2 b_2) (* a c))
5.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series272.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
73.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
33.0ms
(- (* b_2 b_2) (* a c))
65.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify104.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07704550
132153424
250023236

prune340.0ms

Filtered
269 candidates to 112 candidates (41.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2672269
Fresh167
Picked011
Done000
Total2689277

Merged error: 5.8b

Counts
277 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
0.3b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.4b
(- (* b_2 b_2) (* a c))
25.1b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
63×*-un-lft-identity
61×prod-diff
54×add-cube-cbrt
35×sqrt-prod
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
13×add-exp-log associate-*r*
11×times-frac fma-neg
10×add-log-exp
9×add-cbrt-cube
7×pow1 neg-mul-1 associate-*l*
5×flip3-- flip--
4×expm1-log1p-u prod-exp log1p-expm1-u distribute-lft-out-- difference-of-squares
3×diff-log unswap-sqr
2×frac-times sub-neg sqrt-div div-exp associate-*l/ cbrt-unprod
1×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-*r/ pow-prod-down neg-log un-div-inv *-commutative div-inv
Counts
4 → 169
Calls
4 calls:
15.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
14.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
4.0ms
(- (* b_2 b_2) (* a c))
4.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
72.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
33.0ms
(- (* b_2 b_2) (* a c))
64.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify80.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06092985
123341993
250011940

prune286.0ms

Filtered
181 candidates to 96 candidates (53.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1810181
Fresh077
Picked011
Done011
Total1819190

Merged error: 5.8b

Counts
190 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1 a) (/ 1 (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
0.3b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.4b
(- (* b_2 b_2) (* a c))
25.1b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
897×times-frac
569×add-sqr-sqrt
568×*-un-lft-identity
396×add-cube-cbrt
86×distribute-lft-out-- difference-of-squares
76×sqrt-prod
64×distribute-rgt-neg-in
61×prod-diff
44×add-exp-log
43×div-inv
32×div-exp
29×associate-/r/
27×associate-/r*
21×distribute-lft-neg-in
17×flip3-- flip--
16×add-cbrt-cube
13×associate-/l*
11×fma-neg
10×add-log-exp
8×cbrt-undiv rec-exp 1-exp
7×neg-mul-1
5×pow1
4×expm1-log1p-u log1p-expm1-u
3×diff-log
2×sub-neg sqrt-div
1×associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 neg-log clear-num associate-/l/
Counts
4 → 548
Calls
4 calls:
25.0ms
(/ (/ 1 a) (/ 1 (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
10.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
4.0ms
(- (* b_2 b_2) (* a c))
4.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(/ (/ 1 a) (/ 1 (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
67.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
37.0ms
(- (* b_2 b_2) (* a c))
60.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify135.0ms

Algorithm
egg-herbie
Counts
560 → 560
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
0188710995
150019278

prune656.0ms

Filtered
560 candidates to 199 candidates (35.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New5591560
Fresh066
Picked011
Done022
Total55910569

Merged error: 5.8b

Counts
569 → 10

regimes262.0ms

Accuracy

81.9% (5.1b remaining)

Error of 11.0b against oracle of 5.9b and baseline of 34.1b

bsearch87.0ms

Steps
ItersRangePoint
6
2087876908255263.8
9946277058360104.0
9787957843074626.0
8
-1.2666093820352762e-45
-1.3998468795388318e-48
-1.4259994173393273e-48

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03315
13315

end0.0ms

sample1.3s

Algorithm
intervals
Results
280.0ms1068×body2560valid
266.0ms5938×body80valid
177.0ms852×body1280valid
127.0ms2829×body80nan
75.0ms435×body640valid
34.0ms109×body5120valid
26.0ms213×body320valid
9.0ms112×body160valid

Profiling

Loading profile data...