Details

Time bar (total: 5.6s)

sample288.0ms

Algorithm
intervals
Results
15.0ms195×body80valid
11.0ms33×body2560valid
7.0ms27×body1280valid
4.0ms65×body80nan
4.0ms5×body5120valid
2.0ms10×body640valid
1.0ms6×body320valid
0.0ms3×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1337
2467
3497
4497

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.2b
(- (* b_2 b_2) (* a c))
1.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.6b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite89.0ms

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:
44.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
3.0ms
(- (* b_2 b_2) (* a c))
26.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
7.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
33.0ms
(- (* b_2 b_2) (* a c))
71.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
74.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify71.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05493055
118262150
250022063

prune359.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
0.2b
(- (* b_2 b_2) (* a c))
1.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.6b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite70.0ms

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:
30.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
3.0ms
(- (* b_2 b_2) (* a c))
17.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
5.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
36.0ms
(- (* b_2 b_2) (* a c))
68.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
64.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify98.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07704550
132153424
250023236

prune374.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.2b
(- (* b_2 b_2) (* a c))
1.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.6b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite79.0ms

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:
46.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
3.0ms
(- (* b_2 b_2) (* a c))
17.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
5.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
36.0ms
(- (* b_2 b_2) (* a c))
71.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
59.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify72.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05493055
118262150
250022063

prune321.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.8b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.6b
(sqrt (- (* b_2 b_2) (* a c)))
23.6b
(sqrt (- (* b_2 b_2) (* a c)))
23.6b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
60×prod-diff
55×add-sqr-sqrt
52×*-un-lft-identity
48×add-cube-cbrt
40×sqrt-prod
22×distribute-rgt-neg-in
21×distribute-lft-neg-in
10×fma-neg
8×add-log-exp
7×pow1 neg-mul-1
6×sqrt-div
4×add-exp-log expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u
3×rem-sqrt-square sqrt-pow1 pow1/2
2×diff-log distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 sub-neg neg-log
Counts
4 → 141
Calls
4 calls:
17.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
4.0ms
(sqrt (- (* b_2 b_2) (* a c)))
7.0ms
(sqrt (- (* b_2 b_2) (* a c)))
5.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
60.0ms
(sqrt (- (* b_2 b_2) (* a c)))
58.0ms
(sqrt (- (* b_2 b_2) (* a c)))
62.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify52.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03692603
112031735
250011648

prune364.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 4.8b

regimes238.0ms

Accuracy

81.4% (5.2b remaining)

Error of 11.2b against oracle of 6.0b and baseline of 33.9b

bsearch278.0ms

Steps
ItersRangePoint
10
9.168682727753708e+124
1.4581761209996442e+140
1.0577517130489048e+130
10
-4.4698229087150014e-60
-7.90650715848996e-79
-3.136977041606729e-74
10
-1.003617951747773e+25
-9531903230471.172
-9.847501781463365e+24
7
-1.4072277076308412e+56
-5.8205596871901896e+54
-5.874864305580093e+54

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04630
15230
25230

end0.0ms

sample1.7s

Algorithm
intervals
Results
446.0ms5910×body80valid
356.0ms1059×body2560valid
241.0ms866×body1280valid
192.0ms2708×body80nan
97.0ms432×body640valid
37.0ms94×body5120valid
36.0ms210×body320valid
14.0ms116×body160valid