Details

Time bar (total: 2.2s)

analyze168.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
34.3%40.6%25.1%7
35.9%39%25.1%8
42.1%32.8%25.1%9
42.9%19.5%37.6%10
43.3%19.1%37.6%11
45%17.5%37.6%12
45.1%10.3%44.6%13
45.2%10.2%44.6%14

sample26.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms39×body80nan
0.0ms10×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
010510
110510

prune8.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:
3.0ms
(+ x (* y (sqrt z)))
5.0ms
(* y (sqrt z))

series16.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ x (* y (sqrt z)))
8.0ms
(* y (sqrt z))

simplify52.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04969299
14969299

prune71.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New33639
Fresh000
Picked011
Done000
Total33740

Merged error: 0.0b

Counts
40 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite25.0ms

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))
7.0ms
(* y (sqrt (sqrt z)))
11.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt z))
16.0ms
(sqrt (sqrt z))
12.0ms
(* y (sqrt (sqrt z)))
8.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05286622

prune113.0ms

Filtered
57 candidates to 100 candidates (-75.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New973100
Fresh235
Picked011
Done011
Total998107

Merged error: 0b

Counts
107 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
0.6b
(cbrt (pow (sqrt (sqrt z)) 3))
0.7b
(pow (sqrt (sqrt z)) 3)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
66×sqrt-prod
48×cbrt-prod
36×add-sqr-sqrt associate-*r*
30×add-cube-cbrt *-un-lft-identity
27×unpow-prod-down cube-prod
14×pow1
12×add-exp-log
10×add-cbrt-cube
5×pow-pow
4×sqrt-pow1 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×cube-mult pow-unpow unpow3 unswap-sqr sqr-pow
2×pow1/2 *-commutative
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 141
Calls
4 calls:
7.0ms
(* y (sqrt (sqrt z)))
16.0ms
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
5.0ms
(cbrt (pow (sqrt (sqrt z)) 3))
5.0ms
(pow (sqrt (sqrt z)) 3)

series62.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* y (sqrt (sqrt z)))
8.0ms
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
17.0ms
(cbrt (pow (sqrt (sqrt z)) 3))
21.0ms
(pow (sqrt (sqrt z)) 3)

simplify73.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
048861054
148861054

prune149.0ms

Filtered
73 candidates to 153 candidates (-109.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1530153
Fresh055
Picked011
Done022
Total1538161

Merged error: 0b

Counts
161 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
21×add-sqr-sqrt
20×cbrt-prod
18×pow1 add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
4×associate-*l* add-log-exp unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 80
Calls
4 calls:
11.0ms
(* (* y (sqrt (sqrt z))) (* (fabs (cbrt (sqrt z))) (sqrt (cbrt (sqrt z)))))
7.0ms
(* (fabs (cbrt (sqrt z))) (sqrt (cbrt (sqrt z))))
2.0ms
(cbrt (sqrt z))
4.0ms
(cbrt (sqrt z))

series77.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* y (sqrt (sqrt z))) (* (fabs (cbrt (sqrt z))) (sqrt (cbrt (sqrt z)))))
20.0ms
(* (fabs (cbrt (sqrt z))) (sqrt (cbrt (sqrt z))))
16.0ms
(cbrt (sqrt z))
17.0ms
(cbrt (sqrt z))

simplify55.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04946996
14946996

prune88.0ms

Filtered
59 candidates to 92 candidates (-55.9%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh044
Picked011
Done033
Total928100

Merged error: 0b

Counts
100 → 8

regimes486.0ms

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

sample536.0ms

Algorithm
intervals
Results
294.0ms8000×body80valid
38.0ms1075×body80nan
14.0ms396×body80invalid

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