Details

Time bar (total: 3.9s)

sample61.0ms

Algorithm
intervals
Results
13.0ms35×body2560valid
9.0ms178×body80valid
7.0ms29×body1280valid
5.0ms98×body80nan
3.0ms14×body640valid
2.0ms5×body5120valid
1.0ms10×body320valid
0.0ms5×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0289
1649
21149
31359
41449
51489
61489

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 39.4b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
0.6b
(- (* b b) (* 4.0 (* a c)))
1.3b
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
26.8b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
7×add-cube-cbrt times-frac associate-/l*
6×sqrt-prod distribute-lft-out-- difference-of-squares
5×pow1
4×flip3-- flip--
3×distribute-rgt-neg-in 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 → 77
Calls
4 calls:
11.0ms
(/ (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
3.0ms
(- (* b b) (* 4.0 (* a c)))
8.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
3.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
8.0ms
(- (* b b) (* 4.0 (* a c)))
17.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
15.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0398888
11466803
25001798

prune410.0ms

Filtered
89 candidates to 65 candidates (27.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New791089
Fresh000
Picked101
Done000
Total801090

Merged error: 5.6b

Counts
90 → 10

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

prune39.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New000
Fresh099
Picked011
Done000
Total01010

Merged error: 5.6b

Counts
10 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* 2.0 a) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
0.6b
(- (* b b) (* 4.0 (* a c)))
1.3b
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
26.8b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
7×add-cube-cbrt times-frac associate-/r*
6×sqrt-prod distribute-lft-out-- difference-of-squares
5×pow1
4×flip3-- flip--
3×distribute-rgt-neg-in diff-log
2×cbrt-undiv sub-neg sqrt-div div-exp associate-/r/
1×associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 neg-log prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 76
Calls
4 calls:
10.0ms
(/ (* 2.0 a) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
3.0ms
(- (* b b) (* 4.0 (* a c)))
8.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
3.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series88.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ (* 2.0 a) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
8.0ms
(- (* b b) (* 4.0 (* a c)))
15.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
14.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify44.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0369865
11548770
25001760

prune447.0ms

Filtered
88 candidates to 63 candidates (28.4%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New86288
Fresh268
Picked011
Done011
Total881098

Merged error: 5.5b

Counts
98 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
0.6b
(- (* b b) (* 4.0 (* a c)))
1.3b
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
26.8b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
19×add-sqr-sqrt
16×*-un-lft-identity
13×add-cbrt-cube
10×prod-exp add-log-exp
8×add-cube-cbrt
7×pow1 associate-*r* associate-*l*
5×flip3-- sqrt-prod flip--
4×div-exp cbrt-unprod distribute-lft-out-- difference-of-squares
3×times-frac diff-log
2×cbrt-undiv frac-times sub-neg rec-exp distribute-rgt-neg-in sqrt-div 1-exp associate-*l/
1×associate--l- neg-sub0 rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down neg-log un-div-inv *-commutative div-inv unswap-sqr
Counts
4 → 85
Calls
4 calls:
17.0ms
(* (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
3.0ms
(- (* b b) (* 4.0 (* a c)))
8.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
3.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series56.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
8.0ms
(- (* b b) (* 4.0 (* a c)))
15.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
14.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify57.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0463989
12033868
25001860

prune333.0ms

Filtered
97 candidates to 65 candidates (33.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New95297
Fresh257
Picked011
Done022
Total9710107

Merged error: 5.5b

Counts
107 → 10

regimes365.0ms

Accuracy

88.2% (3.2b remaining)

Error of 8.9b against oracle of 5.6b and baseline of 33.1b

bsearch198.0ms

Steps
ItersRangePoint
4
3.1466272044128187e+123
6.05509838734878e+123
3.541181245728844e+123
8
-2.0276992683658464e-127
-2.4738958240069966e-130
-1.3145521691088466e-129
8
-1.2952625766216857e+44
-2.2866437577973832e+39
-9.958751128856934e+42

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04830
15230
25230

end0.0ms

sample1.6s

Algorithm
intervals
Results
317.0ms1075×body2560valid
300.0ms5879×body80valid
212.0ms865×body1280valid
141.0ms2913×body80nan
87.0ms451×body640valid
44.0ms125×body5120valid
35.0ms242×body320valid
9.0ms94×body160valid

Profiling

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