Details

Time bar (total: 2.5s)

sample56.0ms

Algorithm
intervals
Results
16.0ms36×body1280valid
14.0ms173×body80valid
8.0ms27×body640valid
3.0ms13×body320valid
1.0msbody160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0799
1799

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: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
associate-*r* associate-*l*
+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 30
Calls
2 calls:
3.0ms
(+ x (cos y))
4.0ms
(* z (sin y))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ x (cos y))
7.0ms
(* z (sin y))

simplify76.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04927209
14927209

prune46.0ms

Filtered
25 candidates to 36 candidates (-44.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437

Merged error: 0.0b

Counts
37 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite10.0ms

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 z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series92.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt z) (cbrt z))
22.0ms
(cbrt z)
23.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify75.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05837334

prune75.0ms

Filtered
52 candidates to 85 candidates (-63.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0.0b

Counts
89 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (cos y)))
0.0b
(sqrt (+ x (cos y)))
0.1b
(* z (sin y))
0.2b
(* (sqrt (+ x (cos y))) (sqrt (+ x (cos y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity sqrt-prod
32×add-sqr-sqrt
23×pow1
16×add-cube-cbrt sqrt-div
11×swap-sqr
10×sqrt-pow1 pow1/2 associate-*r* associate-*l*
add-exp-log flip3-+ add-cbrt-cube flip-+ distribute-lft-out
pow-prod-up unswap-sqr
frac-times pow-prod-down add-log-exp
pow-sqr
rem-sqrt-square associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 112
Calls
4 calls:
3.0ms
(sqrt (+ x (cos y)))
3.0ms
(sqrt (+ x (cos y)))
4.0ms
(* z (sin y))
11.0ms
(* (sqrt (+ x (cos y))) (sqrt (+ x (cos y))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(sqrt (+ x (cos y)))
10.0ms
(sqrt (+ x (cos y)))
7.0ms
(* z (sin y))
6.0ms
(* (sqrt (+ x (cos y))) (sqrt (+ x (cos y))))

simplify61.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04951987
14951987

prune92.0ms

Filtered
70 candidates to 124 candidates (-77.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1240124
Fresh011
Picked011
Done022
Total1244128

Merged error: 0.0b

Counts
128 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sin y))
0.0b
(sqrt (sin y))
0.1b
(* z (sqrt (sin y)))
0.2b
(* (* z (sqrt (sin y))) (sqrt (sin y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 69
Calls
4 calls:
1.0ms
(sqrt (sin y))
2.0ms
(sqrt (sin y))
5.0ms
(* z (sqrt (sin y)))
7.0ms
(* (* z (sqrt (sin y))) (sqrt (sin y)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (sin y))
4.0ms
(sqrt (sin y))
13.0ms
(* z (sqrt (sin y)))
7.0ms
(* (* z (sqrt (sin y))) (sqrt (sin y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05171487

prune56.0ms

Filtered
49 candidates to 81 candidates (-65.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New81081
Fresh000
Picked011
Done033
Total81485

Merged error: 0.0b

Counts
85 → 4

regimes207.0ms

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
0109
1109

end0.0ms

sample1.5s

Algorithm
intervals
Results
457.0ms984×body1280valid
349.0ms5618×body80valid
224.0ms810×body640valid
83.0ms392×body320valid
26.0ms196×body160valid

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