Details

Time bar (total: 3.0s)

analyze354.0ms

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
12.5%87.4%0.1%6
34.3%65.5%0.1%7
46.8%53%0.1%8
48%51.9%0.1%9
63%36.9%0.1%10
71.7%28.2%0.1%11
72%27.8%0.1%12
80.5%19.4%0.1%13
85.4%14.5%0.1%14

sample53.0ms

Algorithm
intervals
Results
20.0ms37×body1280valid
11.0ms175×body80valid
8.0ms30×body640valid
2.0ms12×body320valid
0.0msbody160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0199
1199

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (sin y))
0.0b
(+ (+ x (sin y)) (* z (cos y)))
0.1b
(* z (cos y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
sum-log
associate-*r* associate-*l*
+-commutative flip3-+ flip-+
associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
4.0ms
(+ x (sin y))
6.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series24.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ x (sin y))
11.0ms
(+ (+ x (sin y)) (* z (cos y)))
7.0ms
(* z (cos y))

simplify54.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05008398

prune83.0ms

Filtered
37 candidates to 52 candidates (-40.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New44852
Fresh000
Picked011
Done000
Total44953

Merged error: 0.0b

Counts
53 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series78.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify44.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05025459

prune102.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New82385
Fresh167
Picked011
Done011
Total831194

Merged error: 0b

Counts
94 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (pow (pow (cos y) 2) 1/3))
0.2b
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-sqr-sqrt
19×unpow-prod-down
18×associate-*r*
16×prod-exp
13×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
pow-exp
pow1 cbrt-unprod
cbrt-prod unswap-sqr
pow-to-exp sqr-pow
associate-*l* add-log-exp
pow-unpow unpow2
unpow1/3 *-commutative
pow-pow pow1/3 pow-prod-down
Counts
4 → 90
Calls
4 calls:
7.0ms
(* z (pow (pow (cos y) 2) 1/3))
8.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series48.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* z (pow (pow (cos y) 2) 1/3))
7.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
5.0ms
(pow (cos y) 2)
17.0ms
(cbrt (cos y))

simplify59.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04852621
14852621

prune127.0ms

Filtered
61 candidates to 102 candidates (-67.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1011102
Fresh358
Picked011
Done022
Total1049113

Merged error: 0b

Counts
113 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (cos y) 2/3) (* (cbrt (pow (cos y) 2/3)) z))
0.2b
(cbrt (pow (cos y) 2/3))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cbrt (cos y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
17×add-exp-log
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
prod-exp
add-cbrt-cube
associate-*l*
unpow-prod-down
pow1 add-log-exp
pow1/3 cbrt-unprod
pow-to-exp pow-exp sqr-pow
associate-*r* *-commutative
Counts
4 → 64
Calls
4 calls:
8.0ms
(* (pow (cos y) 2/3) (* (cbrt (pow (cos y) 2/3)) z))
2.0ms
(cbrt (pow (cos y) 2/3))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cbrt (cos y)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (pow (cos y) 2/3) (* (cbrt (pow (cos y) 2/3)) z))
21.0ms
(cbrt (pow (cos y) 2/3))
16.0ms
(cbrt (cos y))
19.0ms
(cbrt (cbrt (cos y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04918565
14918565

prune111.0ms

Filtered
55 candidates to 76 candidates (-38.2%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh055
Picked011
Done033
Total76985

Merged error: 0b

Counts
85 → 9

regimes299.0ms

Accuracy

0% (0.0b 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
0119
1119

end0.0ms

sample1.3s

Algorithm
intervals
Results
440.0ms973×body1280valid
360.0ms5570×body80valid
234.0ms863×body640valid
78.0ms407×body320valid
25.0ms186×body160valid
1.0msbody2560valid

Profiling

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