Details

Time bar (total: 2.6s)

sample57.0ms

Algorithm
intervals
Results
13.0ms278×body80valid
12.0ms278×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
010510
110510

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
2.0ms
(+ x (* y (sqrt z)))
5.0ms
(* y (sqrt z))

series13.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* y (sqrt z)))
6.0ms
(* y (sqrt z))

simplify37.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05449299

prune72.0ms

Filtered
30 candidates to 39 candidates (-30.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New32739
Fresh000
Picked011
Done000
Total32840

Merged error: 0.0b

Counts
40 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
11.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt z))
14.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
6.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04918622
14918622

prune97.0ms

Filtered
56 candidates to 100 candidates (-78.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh246
Picked011
Done011
Total1017108

Merged error: 0.0b

Counts
108 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* y (* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))) (sqrt (sqrt (cbrt z))))
0.3b
(* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
27×add-sqr-sqrt
18×associate-*r*
17×pow1
15×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*l*
9×cbrt-prod pow-prod-down
7×prod-exp cbrt-unprod
6×unswap-sqr
4×add-log-exp
2×sqrt-pow1 pow1/2 pow1/3 *-commutative
1×sqrt-unprod
Counts
4 → 87
Calls
4 calls:
16.0ms
(* (* y (* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))) (sqrt (sqrt (cbrt z))))
7.0ms
(* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series102.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* y (* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))) (sqrt (sqrt (cbrt z))))
22.0ms
(* (sqrt (sqrt z)) (sqrt (fabs (cbrt z))))
21.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify33.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
053651092

prune118.0ms

Filtered
62 candidates to 99 candidates (-59.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New97299
Fresh224
Picked011
Done022
Total997106

Merged error: 0b

Counts
106 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (fabs (cbrt z))) (* (sqrt (sqrt (cbrt (sqrt z)))) (* (sqrt (sqrt z)) y)))
0.6b
(cbrt (sqrt z))
0.6b
(cbrt (sqrt z))
0.6b
(cbrt z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×pow1 add-exp-log add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×sqrt-prod
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 63
Calls
4 calls:
15.0ms
(* (sqrt (fabs (cbrt z))) (* (sqrt (sqrt (cbrt (sqrt z)))) (* (sqrt (sqrt z)) y)))
2.0ms
(cbrt (sqrt z))
2.0ms
(cbrt (sqrt z))
1.0ms
(cbrt z)

series88.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (sqrt (fabs (cbrt z))) (* (sqrt (sqrt (cbrt (sqrt z)))) (* (sqrt (sqrt z)) y)))
15.0ms
(cbrt (sqrt z))
15.0ms
(cbrt (sqrt z))
22.0ms
(cbrt z)

simplify26.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
04965721
14965721

prune82.0ms

Filtered
51 candidates to 75 candidates (-47.1%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New75075
Fresh033
Picked011
Done033
Total75782

Merged error: 0b

Counts
82 → 7

regimes472.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01310
11310

end0.0ms

sample1.2s

Algorithm
intervals
Results
321.0ms8572×body80valid
283.0ms8376×body80nan

Profiling

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