Details

Time bar (total: 3.0s)

analyze631.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms73×body80invalid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 30.6b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
3.2b
(- (+ (* x x) (* y y)) (* z z))
28.4b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-exp-log add-sqr-sqrt add-cbrt-cube
add-cube-cbrt *-un-lft-identity
times-frac associate-/l*
pow1 difference-of-squares
cbrt-undiv flip3-- diff-log div-exp sum-log flip-- associate-/l/
+-commutative sub-neg frac-2neg flip3-+ div-sub prod-exp associate--l+ clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
3 → 52
Calls
3 calls:
3.0ms
(+ (* x x) (* y y))
5.0ms
(- (+ (* x x) (* y y)) (* z z))
9.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series37.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x x) (* y y))
12.0ms
(- (+ (* x x) (* y y)) (* z z))
19.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0337520
11492454
25001446

prune86.0ms

Filtered
46 candidates to 61 candidates (-32.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New57461
Fresh000
Picked101
Done000
Total58462

Merged error: 10.8b

Counts
62 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

7.4b
(/ (pow z 2) y)
9.9b
(/ (pow x 2) y)

rewrite15.0ms

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:
7.0ms
(/ (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)

simplify36.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0270482
1962422
25001415

prune159.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New986104
Fresh303
Picked101
Done000
Total1026108

Merged error: 0.5b

Counts
108 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ x (/ y x))
7.4b
(/ (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:
6.0ms
(/ x (/ y x))
6.0ms
(/ (pow z 2) y)

series7.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ x (/ y x))
4.0ms
(/ (pow z 2) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0449693
12177620
25002613

prune140.0ms

Filtered
83 candidates to 125 candidates (-50.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1223125
Fresh235
Picked101
Done000
Total1256131

Merged error: 0.0b

Counts
131 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* z (/ z y))
0.2b
(/ x (/ y x))

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
(* z (/ z y))
6.0ms
(/ x (/ y x))

series7.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* z (/ z y))
4.0ms
(/ x (/ y x))

simplify71.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0459585
12386525
25002518

prune84.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh235
Picked011
Done000
Total1086114

Merged error: 0b

Counts
114 → 6

regimes159.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

analyze616.0ms

Algorithm
search

sample705.0ms

Algorithm
intervals
Results
351.0ms8000×body80valid
130.0ms2860×body80invalid

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