Details

Time bar (total: 2.9s)

analyze638.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.808504%

Guaranteed chance to sample good point: 87.231203%

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms4×body80invalid

simplify364.0ms

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)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
8.0ms
(* (+ x y) z)

series14.0ms

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

prune32.0ms

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: 0.0b

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)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series99.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt z) (cbrt z))
22.0ms
(cbrt z)
23.0ms
(cbrt z)
25.0ms
(cbrt z)

simplify76.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune73.0ms

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: 0.0b

Counts
89 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
0.3b
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
3.8b
(sqrt (* (+ x y) z))
3.8b
(sqrt (* (+ x y) z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 104
Calls
4 calls:
6.0ms
(* (+ x y) z)
13.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
4.0ms
(sqrt (* (+ x y) z))
4.0ms
(sqrt (* (+ x y) z))

series68.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ x y) z)
6.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
26.0ms
(sqrt (* (+ x y) z))
30.0ms
(sqrt (* (+ x y) z))

simplify44.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0257508
11170465
25002451

prune85.0ms

Filtered
69 candidates to 116 candidates (-68.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1151116
Fresh101
Picked011
Done022
Total1164120

Merged error: 0.0b

Counts
120 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (* y (- y x)) (pow x 2))
2.3b
(+ (pow x 3) (pow y 3))
5.4b
(* (+ (pow x 3) (pow y 3)) z)
36.5b
(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* y (- y x)) (pow x 2)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt distribute-lft-out
9×associate-*l*
8×add-cube-cbrt unpow-prod-down cube-prod add-log-exp
6×pow1
5×flip3-+ flip-+
4×associate-+l+ associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv +-commutative distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp sum-log associate-/r/ sum-cubes cbrt-unprod associate-/l/
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 83
Calls
4 calls:
8.0ms
(+ (* y (- y x)) (pow x 2))
10.0ms
(+ (pow x 3) (pow y 3))
13.0ms
(* (+ (pow x 3) (pow y 3)) z)
20.0ms
(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* y (- y x)) (pow x 2)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* y (- y x)) (pow x 2))
8.0ms
(+ (pow x 3) (pow y 3))
12.0ms
(* (+ (pow x 3) (pow y 3)) z)
23.0ms
(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* y (- y x)) (pow x 2)))

simplify53.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0342697
11779596
25002596

prune141.0ms

Filtered
61 candidates to 95 candidates (-55.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done033
Total95499

Merged error: 0.0b

Counts
99 → 4

regimes243.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072
172

end0.0ms

analyze424.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.808504%

Guaranteed chance to sample good point: 87.231203%

sample334.0ms

Algorithm
intervals
Results
158.0ms8000×body80valid
6.0ms311×body80invalid

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