Details

Time bar (total: 2.5s)

sample25.0ms

Algorithm
intervals
Results
12.0ms304×body80valid

simplify134.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1203
2283
3363
4543
51013
61503
71673
82423
94683
1015473
1150013

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x y) x) y)
0.0b
(+ (* x y) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
6.0ms
(+ (+ (* x y) x) y)
4.0ms
(+ (* x y) x)

series47.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ (+ (* x y) x) y)
32.0ms
(+ (* x y) x)

simplify55.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0143138
1451129
21660127
35001126

prune45.0ms

Filtered
31 candidates to 21 candidates (67.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New29231
Fresh000
Picked011
Done000
Total29332

Merged error: 0.0b

Counts
32 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y)))
0.6b
(cbrt (+ (+ (* x y) x) y))
0.6b
(cbrt (+ (+ (* x y) x) y))
0.6b
(cbrt (+ (+ (* x y) x) y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
16.0ms
(* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y)))
6.0ms
(cbrt (+ (+ (* x y) x) y))
6.0ms
(cbrt (+ (+ (* x y) x) y))
6.0ms
(cbrt (+ (+ (* x y) x) y))

series286.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y)))
63.0ms
(cbrt (+ (+ (* x y) x) y))
68.0ms
(cbrt (+ (+ (* x y) x) y))
67.0ms
(cbrt (+ (+ (* x y) x) y))

simplify51.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03441266
112681190
250021099

prune211.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done011
Total1073110

Merged error: 0.0b

Counts
110 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* x y) x))
0.0b
(+ (* x y) x)
0.0b
(+ (* x y) x)
0.2b
(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
14×sqrt-div
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×swap-sqr add-log-exp
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 94
Calls
4 calls:
4.0ms
(sqrt (+ (* x y) x))
4.0ms
(+ (* x y) x)
4.0ms
(+ (* x y) x)
12.0ms
(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

series138.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (+ (* x y) x))
30.0ms
(+ (* x y) x)
35.0ms
(+ (* x y) x)
31.0ms
(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

simplify208.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0218559
1822500
24811483
35002483

prune138.0ms

Filtered
106 candidates to 59 candidates (55.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1051106
Fresh000
Picked011
Done022
Total1054109

Merged error: 0b

Counts
109 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ (* x y) x)))
0.1b
(sqrt (sqrt (+ (* x y) x)))
0.1b
(* (pow (sqrt (sqrt (+ (* x y) x))) 3) (sqrt (sqrt (+ (* x y) x))))
0.4b
(pow (sqrt (sqrt (+ (* x y) x))) 3)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
107×sqrt-prod
74×add-sqr-sqrt
36×sqrt-div
27×unpow-prod-down cube-prod
25×add-cube-cbrt *-un-lft-identity
24×associate-*l* unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log
9×flip3-+ associate-*r* flip-+
8×cube-div
7×add-cbrt-cube
6×pow1/2
5×pow-pow sqr-pow
4×frac-times rem-sqrt-square add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 163
Calls
4 calls:
5.0ms
(sqrt (sqrt (+ (* x y) x)))
4.0ms
(sqrt (sqrt (+ (* x y) x)))
18.0ms
(* (pow (sqrt (sqrt (+ (* x y) x))) 3) (sqrt (sqrt (+ (* x y) x))))
7.0ms
(pow (sqrt (sqrt (+ (* x y) x))) 3)

series240.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (sqrt (+ (* x y) x)))
61.0ms
(sqrt (sqrt (+ (* x y) x)))
34.0ms
(* (pow (sqrt (sqrt (+ (* x y) x))) 3) (sqrt (sqrt (+ (* x y) x))))
79.0ms
(pow (sqrt (sqrt (+ (* x y) x))) 3)

simplify74.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
04941690
121661462
250011294

prune294.0ms

Filtered
175 candidates to 88 candidates (50.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1750175
Fresh000
Picked011
Done033
Total1754179

Merged error: 0b

Counts
179 → 4

regimes49.0ms

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
083
183

end0.0ms

sample350.0ms

Algorithm
intervals
Results
209.0ms9151×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid

Profiling

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