Details

Time bar (total: 3.3s)

sample57.0ms

Algorithm
intervals
Results
18.0ms41×body1280valid
11.0ms42×body640valid
8.0ms132×body80valid
5.0ms26×body320valid
2.0ms15×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))
0.2b
(* x (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
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
4.0ms
(+ (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series29.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (* x (cos y)) (* z (sin y)))
7.0ms
(* z (sin y))
7.0ms
(* x (cos y))

simplify80.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0183248
1698227
22213227
35001227

prune96.0ms

Filtered
39 candidates to 56 candidates (-43.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New47956
Fresh000
Picked101
Done000
Total48957

Merged error: 0.0b

Counts
57 → 9

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))

rewrite13.0ms

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))
2.0ms
(cbrt (cos y))

series82.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
20.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))

simplify115.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune131.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New80585
Fresh268
Picked011
Done000
Total821294

Merged error: 0.0b

Counts
94 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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×associate-*l* add-log-exp
3×pow-unpow unpow2
2×unpow1/3 *-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 90
Calls
4 calls:
8.0ms
(* x (pow (pow (cos y) 2) 1/3))
9.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cos y))

series48.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* x (pow (pow (cos y) 2) 1/3))
7.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
18.0ms
(cbrt (cos y))

simplify53.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0320572
11417499
25002468

prune169.0ms

Filtered
62 candidates to 102 candidates (-64.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New984102
Fresh4610
Picked011
Done101
Total10311114

Merged error: 0.0b

Counts
114 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (cos y) 2)
0.3b
(cbrt (pow (pow (cos y) 2) 2/3))
0.3b
(cbrt (cos y))
0.4b
(cbrt (pow (cos y) 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
17×unpow-prod-down
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp sqr-pow
3×pow-unpow pow1/3 unpow2
1×pow-to-exp pow-pow pow-exp
Counts
4 → 65
Calls
4 calls:
3.0ms
(pow (cos y) 2)
4.0ms
(cbrt (pow (pow (cos y) 2) 2/3))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (pow (cos y) 2))

series74.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(pow (cos y) 2)
24.0ms
(cbrt (pow (pow (cos y) 2) 2/3))
17.0ms
(cbrt (cos y))
29.0ms
(cbrt (pow (cos y) 2))

simplify103.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0235383
1725335
22628325
35001324

prune163.0ms

Filtered
52 candidates to 77 candidates (-48.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh099
Picked011
Done011
Total771188

Merged error: 0.0b

Counts
88 → 11

regimes251.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01810
11810

end0.0ms

sample1.7s

Algorithm
intervals
Results
665.0ms1514×body1280valid
330.0ms1192×body640valid
258.0ms4387×body80valid
120.0ms608×body320valid
43.0ms299×body160valid

Profiling

Loading profile data...