Details

Time bar (total: 2.2s)

analyze159.0ms

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

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms30×body80nan
1.0ms17×body80invalid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
048210
148210

prune7.0ms

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

localize10.0ms

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:
3.0ms
(+ 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))

simplify48.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05004301

prune74.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New34539
Fresh000
Picked011
Done000
Total34640

Merged error: 0.0b

Counts
40 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt z))
0.2b
(sqrt (sqrt z))
0.2b
(* 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))
8.0ms
(* y (sqrt (sqrt z)))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series44.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05033622

prune121.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh134
Picked101
Done011
Total1006106

Merged error: 0b

Counts
106 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
0.2b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (pow z 1/4))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
20×add-sqr-sqrt
19×add-exp-log
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
8×pow1
6×add-log-exp
4×sqrt-pow1 associate-*l* cbrt-unprod
3×unpow-prod-down unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative
1×+-commutative flip3-+ pow-prod-down sum-log flip-+ sqr-pow
Counts
4 → 80
Calls
4 calls:
6.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
3.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
16.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

series63.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
14.0ms
(sqrt (sqrt z))
14.0ms
(* y (sqrt (sqrt z)))
21.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify48.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05000829

prune138.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh044
Picked011
Done011
Total92698

Merged error: 0b

Counts
98 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
22×add-sqr-sqrt
18×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
15×pow1 add-exp-log associate-*r* add-cbrt-cube
10×associate-*l*
7×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 84
Calls
4 calls:
6.0ms
(* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))
12.0ms
(* (* y (* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))) (sqrt (cbrt (sqrt z))))
2.0ms
(cbrt (sqrt z))
2.0ms
(cbrt (sqrt z))

series71.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))
20.0ms
(* (* y (* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))) (sqrt (cbrt (sqrt z))))
18.0ms
(cbrt (sqrt z))
15.0ms
(cbrt (sqrt z))

simplify64.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050671040

prune107.0ms

Filtered
62 candidates to 96 candidates (-54.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done022
Total966102

Merged error: 0b

Counts
102 → 6

regimes460.0ms

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 (1.0ms)

IterNodesCost
03910
13910

end0.0ms

sample566.0ms

Algorithm
intervals
Results
309.0ms8000×body80valid
36.0ms1075×body80nan
17.0ms397×body80invalid

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