Details

Time bar (total: 3.0s)

analyze356.0ms

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

sample44.0ms

Algorithm
intervals
Results
11.0ms182×body80valid
10.0ms23×body1280valid
9.0ms33×body640valid
2.0ms12×body320valid
1.0ms6×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0199
1199

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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* sum-log
1×+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 31
Calls
2 calls:
6.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series18.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (+ x (sin y)) (* z (cos y)))
7.0ms
(* z (cos y))

simplify54.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04958304
14958304

prune242.0ms

Filtered
26 candidates to 37 candidates (-42.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33437
Fresh000
Picked011
Done000
Total33538

Merged error: 0.0b

Counts
38 → 5

localize14.0ms

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
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series79.0ms

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))

simplify47.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05025459

prune85.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh123
Picked101
Done011
Total85590

Merged error: 0b

Counts
90 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 66
Calls
4 calls:
7.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (pow (cos y) 2))

series50.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
16.0ms
(cbrt (cos y))
24.0ms
(cbrt (pow (cos y) 2))

simplify37.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04905521
14905521

prune99.0ms

Filtered
51 candidates to 78 candidates (-52.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done011
Total78583

Merged error: 0b

Counts
83 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×associate-*r*
16×add-cube-cbrt *-un-lft-identity log-pow
14×exp-prod
13×pow1
11×add-exp-log
9×log-prod add-cbrt-cube
6×cbrt-prod unpow-prod-down
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×distribute-rgt-in distribute-lft-in
2×*-commutative sqr-pow
1×pow1/3 rem-log-exp unswap-sqr
Counts
4 → 83
Calls
4 calls:
8.0ms
(* z (log (exp (pow (cos y) 2/3))))
7.0ms
(* (* z (log (exp (pow (cos y) 2/3)))) (cbrt (cos y)))
5.0ms
(log (exp (pow (cos y) 2/3)))
1.0ms
(cbrt (cos y))

series61.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* z (log (exp (pow (cos y) 2/3))))
6.0ms
(* (* z (log (exp (pow (cos y) 2/3)))) (cbrt (cos y)))
20.0ms
(log (exp (pow (cos y) 2/3)))
16.0ms
(cbrt (cos y))

simplify45.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05006601

prune117.0ms

Filtered
69 candidates to 95 candidates (-37.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh022
Picked011
Done022
Total955100

Merged error: 0b

Counts
100 → 5

regimes235.0ms

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
420.0ms968×body1280valid
344.0ms5580×body80valid
228.0ms818×body640valid
91.0ms429×body320valid
27.0ms203×body160valid
2.0ms2×body2560valid

Profiling

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