Details

Time bar (total: 3.1s)

analyze595.0ms

Algorithm
search

sample27.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
4.0ms109×body80invalid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.2b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

2.4b
(- (+ (* x x) (* y y)) (* z z))
24.5b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-sqr-sqrt add-cbrt-cube add-log-exp
add-cube-cbrt *-un-lft-identity times-frac associate-/l*
difference-of-squares
pow1 cbrt-undiv flip3-- diff-log div-exp flip-- associate-/l/
sub-neg frac-2neg div-sub prod-exp associate--l+ clear-num associate-/r* sum-log cbrt-unprod div-inv
Counts
2 → 41
Calls
2 calls:
5.0ms
(- (+ (* x x) (* y y)) (* z z))
8.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series28.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (+ (* x x) (* y y)) (* z z))
18.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify31.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0275450
11168388
25001380

prune72.0ms

Filtered
35 candidates to 47 candidates (-34.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New42547
Fresh000
Picked101
Done000
Total43548

Merged error: 8.5b

Counts
48 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

8.0b
(/ (pow z 2) y)
10.5b
(/ (pow x 2) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
36×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
16×associate-/l*
12×add-exp-log
unpow2 sqr-pow
div-exp associate-/r* add-cbrt-cube
pow1 cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num div-inv add-log-exp
Counts
2 → 98
Calls
2 calls:
5.0ms
(/ (pow z 2) y)
5.0ms
(/ (pow x 2) y)

series7.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (pow z 2) y)
3.0ms
(/ (pow x 2) y)

simplify33.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0270482
1962422
25001415

prune160.0ms

Filtered
66 candidates to 104 candidates (-57.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New986104
Fresh314
Picked101
Done000
Total1027109

Merged error: 0.4b

Counts
109 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ x (/ y x))
8.0b
(/ (pow z 2) y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
61×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
12×add-exp-log unpow-prod-down
11×associate-/l*
add-cbrt-cube
div-exp div-inv
cbrt-undiv unpow2 sqr-pow
pow1 frac-2neg clear-num add-log-exp
pow-to-exp pow-exp associate-/r/
Counts
2 → 119
Calls
2 calls:
5.0ms
(/ x (/ y x))
5.0ms
(/ (pow z 2) y)

series6.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ x (/ y x))
3.0ms
(/ (pow z 2) y)

simplify59.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0449693
12177620
25002613

prune147.0ms

Filtered
84 candidates to 125 candidates (-48.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1232125
Fresh246
Picked101
Done000
Total1266132

Merged error: 0.0b

Counts
132 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ x (/ y x))
0.2b
(* z (/ z y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
85×times-frac
57×add-sqr-sqrt
52×add-cube-cbrt *-un-lft-identity
13×associate-*r* associate-/r*
12×add-exp-log add-cbrt-cube
div-inv
pow1 cbrt-undiv div-exp
associate-*l* associate-/l*
prod-exp cbrt-unprod add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num associate-/r/ *-commutative
Counts
2 → 102
Calls
2 calls:
6.0ms
(/ x (/ y x))
6.0ms
(* z (/ z y))

series6.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ x (/ y x))
3.0ms
(* z (/ z y))

simplify61.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0459585
12391525
25002518

prune82.0ms

Filtered
75 candidates to 108 candidates (-44.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh055
Picked011
Done000
Total1068114

Merged error: 0.0b

Counts
114 → 8

regimes306.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

analyze608.0ms

Algorithm
search

sample696.0ms

Algorithm
intervals
Results
342.0ms8000×body80valid
122.0ms2848×body80invalid

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