Details

Time bar (total: 5.7s)

sample319.0ms

Algorithm
intervals
Results
12.0ms30×body1280valid
11.0ms193×body80valid
10.0ms34×body2560valid
5.0ms85×body80nan
3.0ms14×body640valid
2.0msbody5120valid
0.0msbody160valid
0.0msbody320valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0147
1227
2257
3277
4297
5297

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: 34.3b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b_2 b_2) (* a c))
0.1b
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.7b
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.4b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
16×add-sqr-sqrt
15×add-cube-cbrt times-frac
10×distribute-lft-out add-log-exp
add-exp-log add-cbrt-cube
pow1 distribute-rgt-neg-in associate-/l*
associate-/r* sqrt-prod
neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div sum-log flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub div-exp neg-log clear-num div-inv
Counts
4 → 80
Calls
4 calls:
4.0ms
(- (* b_2 b_2) (* a c))
24.0ms
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
8.0ms
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
6.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* b_2 b_2) (* a c))
89.0ms
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
75.0ms
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
68.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify43.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0358790
11261727
25001705

prune209.0ms

Filtered
92 candidates to 69 candidates (75.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New86692
Fresh000
Picked011
Done000
Total86793

Merged error: 6.9b

Counts
93 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
4.0b
(/ (/ (+ 0 (* a c)) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a)
9.8b
(/ (+ 0 (* a c)) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
23.4b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
186×times-frac
158×add-sqr-sqrt
157×*-un-lft-identity
89×add-cube-cbrt
34×distribute-lft-out-- difference-of-squares
30×associate-/l*
20×sqrt-prod
17×distribute-rgt-neg-in
11×add-exp-log add-cbrt-cube
10×associate-/r* associate-/r/
add-log-exp
flip3-- flip--
div-inv
pow1
cbrt-undiv div-exp
associate-/l/
frac-2neg sqrt-div diff-log clear-num
associate--l- neg-sub0 sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 neg-log flip-+
Counts
4 → 206
Calls
4 calls:
8.0ms
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
19.0ms
(/ (/ (+ 0 (* a c)) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a)
12.0ms
(/ (+ 0 (* a c)) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
4.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
137.0ms
(/ (/ (+ 0 (* a c)) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a)
165.0ms
(/ (+ 0 (* a c)) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
61.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify116.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07413477
132923295
250013269

prune447.0ms

Filtered
218 candidates to 147 candidates (67.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2162218
Fresh145
Picked011
Done011
Total2178225

Merged error: 6.8b

Counts
225 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.8b
(/ a (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) c))
4.0b
(/ (/ a (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) c)) a)
23.4b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
951×times-frac
589×add-sqr-sqrt
588×*-un-lft-identity
392×add-cube-cbrt
98×distribute-lft-out-- difference-of-squares
83×associate-/l*
52×sqrt-prod
49×distribute-rgt-neg-in
28×associate-/r*
22×div-inv
18×add-exp-log add-cbrt-cube
cbrt-undiv div-exp
add-log-exp
pow1 associate-/r/
flip3-- frac-2neg sqrt-div diff-log clear-num flip--
associate--l- neg-sub0 sub-neg rem-sqrt-square sqrt-pow1 pow1/2 neg-log associate-/l/
Counts
4 → 491
Calls
4 calls:
8.0ms
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
13.0ms
(/ a (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) c))
29.0ms
(/ (/ a (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) c)) a)
4.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series456.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
176.0ms
(/ a (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) c))
153.0ms
(/ (/ a (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) c)) a)
58.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify110.0ms

Algorithm
egg-herbie
Counts
503 → 503
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
015828734
150018085

prune911.0ms

Filtered
503 candidates to 303 candidates (60.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5021503
Fresh145
Picked011
Done022
Total5038511

Merged error: 6.8b

Counts
511 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b_2 b_2) (* a c))
0.2b
(* (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
0.7b
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.4b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
21×add-sqr-sqrt
13×add-exp-log add-cube-cbrt associate-*r*
11×times-frac
10×add-log-exp
add-cbrt-cube
pow1
associate-*l*
prod-exp distribute-lft-out
flip3-+ sqrt-prod flip-+ unswap-sqr
frac-times flip3-- distribute-rgt-neg-in sqrt-div div-exp associate-*l/ sum-log flip-- cbrt-unprod
cbrt-undiv +-commutative neg-sub0 associate-+l- sub-neg rem-sqrt-square rec-exp sqrt-pow1 pow1/2 diff-log 1-exp associate-*r/ pow-prod-down neg-log un-div-inv *-commutative div-inv
Counts
4 → 84
Calls
4 calls:
3.0ms
(- (* b_2 b_2) (* a c))
14.0ms
(* (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
10.0ms
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
4.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* b_2 b_2) (* a c))
88.0ms
(* (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
69.0ms
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
57.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0448824
11956724
25002684

prune180.0ms

Filtered
96 candidates to 71 candidates (74.0%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New95196
Fresh134
Picked011
Done033
Total968104

Merged error: 6.8b

Counts
104 → 8

regimes218.0ms

Accuracy

88.7% (2.9b remaining)

Error of 8.5b against oracle of 5.6b and baseline of 31.3b

bsearch155.0ms

Steps
ItersRangePoint
10
2.564731655063431e+70
8.71581363662453e+81
6.545535561377187e+70
10
-7.355546586445583e-230
-1.693825643234001e-239
-1.4699657293362586e-232
6
-1.555584016455579e+44
-1.807486675368764e+43
-1.5338208594244521e+44

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03723
13723

end0.0ms

sample1.2s

Algorithm
intervals
Results
271.0ms1115×body2560valid
257.0ms5838×body80valid
182.0ms916×body1280valid
117.0ms2859×body80nan
71.0ms447×body640valid
37.0ms113×body5120valid
26.0ms223×body320valid
9.0ms118×body160valid

Profiling

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