Details

Time bar (total: 4.4s)

sample53.0ms

Algorithm
intervals
Results
22.0ms56×body1280valid
8.0ms33×body640valid
7.0ms131×body80valid
4.0ms22×body320valid
2.0ms14×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1154
2154

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

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)))
5.0ms
(* z (cos y))

series117.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(fma x (sin y) (* z (cos y)))
36.0ms
(* z (cos y))

simplify52.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
085150
1280130
2715130
31541130
45001130

prune103.0ms

Filtered
36 candidates to 28 candidates (77.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New30636
Fresh000
Picked011
Done000
Total30737

Merged error: 0.1b

Counts
37 → 7

localize13.0ms

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))

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))
2.0ms
(cbrt (cos y))

series470.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
106.0ms
(cbrt (cos y))
100.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))

simplify110.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune292.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh055
Picked101
Done011
Total928100

Merged error: 0.1b

Counts
100 → 8

localize17.0ms

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

rewrite25.0ms

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))
10.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series251.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* z (pow (pow (cos y) 2) 1/3))
36.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms
(pow (cos y) 2)
103.0ms
(cbrt (cos y))

simplify50.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0330610
11447529
25001498

prune333.0ms

Filtered
110 candidates to 69 candidates (62.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh156
Picked011
Done011
Total1108118

Merged error: 0.1b

Counts
118 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3))
0.2b
(* (* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3)) (cbrt (cos y)))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
71×add-exp-log
55×prod-exp
27×add-cbrt-cube cbrt-unprod
21×associate-*r*
17×unpow-prod-down
15×pow-to-exp pow-exp
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×unpow1/3
8×sqrt-prod
7×pow1
6×cbrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow sqr-pow
2×associate-*l* *-commutative unpow2
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 115
Calls
4 calls:
12.0ms
(* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3))
18.0ms
(* (* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series308.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3))
102.0ms
(* (* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3)) (cbrt (cos y)))
16.0ms
(pow (cos y) 2)
102.0ms
(cbrt (cos y))

simplify68.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04731226
122941011
25002813

prune373.0ms

Filtered
127 candidates to 69 candidates (54.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1261127
Fresh055
Picked101
Done022
Total1278135

Merged error: 0.1b

Counts
135 → 8

regimes109.0ms

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
084
184

end0.0ms

sample1.5s

Algorithm
intervals
Results
621.0ms1497×body1280valid
333.0ms1267×body640valid
234.0ms4256×body80valid
109.0ms656×body320valid
38.0ms324×body160valid