Details

Time bar (total: 2.4s)

analyze439.0ms

Algorithm
search

sample19.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms16×body80invalid

simplify367.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1152
2152

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
associate-*l/
flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
7.0ms
(* (+ x y) z)

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(* (+ x y) z)

simplify38.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010684
141172
2181172
3500372

prune42.0ms

Filtered
16 candidates to 24 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New21324
Fresh000
Picked011
Done000
Total21425

Merged error: 0b

Counts
25 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series93.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt z) (cbrt z))
21.0ms
(cbrt z)
24.0ms
(cbrt z)
23.0ms
(cbrt z)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune71.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0b

Counts
89 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ x y) (sqrt z))
0.1b
(* (* (+ x y) (sqrt z)) (sqrt z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r*
11×add-sqr-sqrt
pow1 add-exp-log *-un-lft-identity add-cbrt-cube
add-cube-cbrt sqrt-prod
associate-*l/
associate-*l*
pow-prod-down prod-exp cbrt-unprod
flip3-+ *-commutative flip-+ add-log-exp unswap-sqr
distribute-lft-out
Counts
2 → 48
Calls
2 calls:
7.0ms
(* (+ x y) (sqrt z))
8.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

series19.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* (+ x y) (sqrt z))
9.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

simplify33.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0235278
11071237
25001232

prune43.0ms

Filtered
34 candidates to 54 candidates (-58.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New54054
Fresh011
Picked011
Done022
Total54458

Merged error: 0b

Counts
58 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (* x x) (- (* y y) (* x y)))
2.8b
(+ (pow x 3) (pow y 3))
6.8b
(* (+ (pow x 3) (pow y 3)) z)
34.7b
(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
11×add-exp-log add-cbrt-cube add-log-exp
10×add-sqr-sqrt distribute-lft-out
associate-*l*
add-cube-cbrt unpow-prod-down cube-prod
pow1
flip3-+ flip-+
associate-*l/
times-frac associate-*r* associate-/r* sum-log
cbrt-undiv +-commutative associate-+r+ div-exp prod-exp associate-/r/ sum-cubes cbrt-unprod associate-/l/
associate-+r- sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 83
Calls
4 calls:
5.0ms
(+ (* x x) (- (* y y) (* x y)))
12.0ms
(+ (pow x 3) (pow y 3))
13.0ms
(* (+ (pow x 3) (pow y 3)) z)
17.0ms
(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* x x) (- (* y y) (* x y)))
7.0ms
(+ (pow x 3) (pow y 3))
11.0ms
(* (+ (pow x 3) (pow y 3)) z)
20.0ms
(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0338744
11780623
25001617

prune124.0ms

Filtered
63 candidates to 95 candidates (-50.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done033
Total95499

Merged error: 0b

Counts
99 → 4

regimes235.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072
172

end0.0ms

analyze227.0ms

Algorithm
search

sample318.0ms

Algorithm
intervals
Results
151.0ms8000×body80valid
11.0ms595×body80invalid

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