Details

Time bar (total: 2.5s)

sample43.0ms

Algorithm
intervals
Results
11.0ms26×body1280valid
10.0ms190×body80valid
6.0ms25×body640valid
1.0msbody320valid
1.0msbody160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l* sum-log
+-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))

series17.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (+ x (sin y)) (* z (cos y)))
6.0ms
(* z (cos y))

simplify67.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0152192
1605176
22510176
35001176

prune45.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438

Merged error: 0.0b

Counts
38 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (cos y))
0.0b
(sqrt (cos y))
0.1b
(* z (sqrt (cos y)))
0.1b
(* (* z (sqrt (cos y))) (sqrt (cos y)))

rewrite16.0ms

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 (cos y))
1.0ms
(sqrt (cos y))
5.0ms
(* z (sqrt (cos y)))
7.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

series21.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (cos y))
3.0ms
(sqrt (cos y))
9.0ms
(* z (sqrt (cos y)))
6.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0157356
1711312
22827306
35001306

prune75.0ms

Filtered
50 candidates to 81 candidates (-62.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New79281
Fresh022
Picked101
Done011
Total80585

Merged error: 0.0b

Counts
85 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (cos y)) (fabs (cbrt (cos y))))
0.1b
(* (* z (* (sqrt (cos y)) (fabs (cbrt (cos y))))) (sqrt (cbrt (cos y))))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity associate-*r*
10×sqrt-prod
cbrt-prod
associate-*l* pow-prod-down prod-exp cbrt-unprod
add-log-exp
pow1/3 *-commutative unswap-sqr
Counts
4 → 71
Calls
4 calls:
5.0ms
(* (sqrt (cos y)) (fabs (cbrt (cos y))))
10.0ms
(* (* z (* (sqrt (cos y)) (fabs (cbrt (cos y))))) (sqrt (cbrt (cos y))))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series65.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (sqrt (cos y)) (fabs (cbrt (cos y))))
25.0ms
(* (* z (* (sqrt (cos y)) (fabs (cbrt (cos y))))) (sqrt (cbrt (cos y))))
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify45.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0281724
11401636
25002632

prune85.0ms

Filtered
57 candidates to 83 candidates (-45.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh033
Picked011
Done011
Total83588

Merged error: 0.0b

Counts
88 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (sqrt (cos y)))
0.1b
(* (* z (sqrt (cos y))) (cbrt (pow (sqrt (cos y)) 3)))
0.2b
(cbrt (pow (sqrt (cos y)) 3))
0.2b
(pow (sqrt (cos y)) 3)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
27×add-sqr-sqrt associate-*r*
23×add-cube-cbrt *-un-lft-identity
22×sqrt-prod
18×unpow-prod-down cube-prod
13×pow1
12×add-exp-log
10×add-cbrt-cube
associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
cube-mult pow-unpow pow-pow unpow3 sqr-pow
*-commutative unswap-sqr
pow-to-exp sqrt-pow1 pow1/2 pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 117
Calls
4 calls:
5.0ms
(* z (sqrt (cos y)))
10.0ms
(* (* z (sqrt (cos y))) (cbrt (pow (sqrt (cos y)) 3)))
3.0ms
(cbrt (pow (sqrt (cos y)) 3))
3.0ms
(pow (sqrt (cos y)) 3)

series25.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* z (sqrt (cos y)))
7.0ms
(* (* z (sqrt (cos y))) (cbrt (pow (sqrt (cos y)) 3)))
3.0ms
(cbrt (pow (sqrt (cos y)) 3))
6.0ms
(pow (sqrt (cos y)) 3)

simplify58.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0314650
11598544
25001510

prune100.0ms

Filtered
63 candidates to 129 candidates (-104.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1290129
Fresh022
Picked011
Done022
Total1295134

Merged error: 0.0b

Counts
134 → 5

regimes230.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.4s

Algorithm
intervals
Results
431.0ms994×body1280valid
314.0ms5624×body80valid
226.0ms819×body640valid
68.0ms371×body320valid
24.0ms192×body160valid

Profiling

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