Details

Time bar (total: 4.0s)

sample58.0ms

Algorithm
intervals
Results
25.0ms52×body1280valid
10.0ms39×body640valid
8.0ms138×body80valid
3.0ms18×body320valid
1.0ms9×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1154
2154

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x (sin y) (* z (cos y)))
0.1b
(* z (cos y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
1.0ms
(fma x (sin y) (* z (cos y)))
4.0ms
(* z (cos y))

series113.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(fma x (sin y) (* z (cos y)))
35.0ms
(* z (cos y))

simplify53.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
085150
1280130
2715130
31541130
45001130

prune99.0ms

Filtered
36 candidates to 27 candidates (75.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New31536
Fresh011
Picked101
Done000
Total32638

Merged error: 0.1b

Counts
38 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 54
Calls
3 calls:
4.0ms
(+ (* x (sin y)) (* z (cos y)))
4.0ms
(* x (sin y))
4.0ms
(* z (cos y))

series150.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ (* x (sin y)) (* z (cos y)))
40.0ms
(* x (sin y))
36.0ms
(* z (cos y))

simplify74.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0197270
1757245
22524245
35001244

prune147.0ms

Filtered
63 candidates to 47 candidates (74.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh055
Picked011
Done000
Total60969

Merged error: 0.0b

Counts
69 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
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))

series458.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms
(cbrt (cos y))
103.0ms
(cbrt (cos y))
97.0ms
(cbrt (cos y))

simplify105.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune269.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New90393
Fresh167
Picked011
Done011
Total9111102

Merged error: 0.0b

Counts
102 → 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))

rewrite23.0ms

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
9×pow-exp
7×pow1 cbrt-unprod
6×cbrt-prod unswap-sqr
5×pow-to-exp sqr-pow
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×pow-unpow unpow2
2×unpow1/3 *-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 98
Calls
4 calls:
8.0ms
(* z (pow (pow (cos y) 2) 1/3))
9.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series251.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* z (pow (pow (cos y) 2) 1/3))
43.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms
(pow (cos y) 2)
97.0ms
(cbrt (cos y))

simplify49.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0330610
11447529
25001498

prune284.0ms

Filtered
110 candidates to 70 candidates (63.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1073110
Fresh358
Picked101
Done112
Total1129121

Merged error: 0.0b

Counts
121 → 9

regimes176.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.6s

Algorithm
intervals
Results
657.0ms1491×body1280valid
340.0ms1200×body640valid
263.0ms4320×body80valid
123.0ms650×body320valid
49.0ms339×body160valid

Profiling

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