Details

Time bar (total: 3.9s)

sample43.0ms

Algorithm
intervals
Results
14.0ms33×body1280valid
10.0ms180×body80valid
6.0ms22×body640valid
3.0ms17×body320valid
0.0ms4×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0135
1205
2225
3225

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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

series71.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ x (sin y))
42.0ms
(* z (cos y))

simplify127.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0125129
1358114
2805114
31557114
44463114
55001114

prune108.0ms

Filtered
36 candidates to 25 candidates (69.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New30636
Fresh000
Picked011
Done000
Total30737

Merged error: 0.0b

Counts
37 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))
0.4b
(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))

series507.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
108.0ms
(cbrt (cos y))
117.0ms
(cbrt (cos y))
112.0ms
(cbrt (cos y))

simplify103.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune229.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh145
Picked101
Done011
Total84892

Merged error: 0.0b

Counts
92 → 8

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)))
0.2b
(pow (cos y) 2)
0.4b
(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:
11.0ms
(* 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))

series273.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* z (pow (pow (cos y) 2) 1/3))
40.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms
(pow (cos y) 2)
106.0ms
(cbrt (cos y))

simplify61.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0320572
11417499
25002468

prune271.0ms

Filtered
102 candidates to 61 candidates (59.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New993102
Fresh336
Picked011
Done011
Total1028110

Merged error: 0b

Counts
110 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
0.2b
(pow (cos y) 2)
0.4b
(cbrt (cos y))
0.7b
(log (exp (pow (cos y) 2)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×log-pow
8×pow1 exp-prod add-cbrt-cube
7×prod-exp
6×cbrt-prod unpow-prod-down associate-*r*
5×cbrt-unprod
4×add-log-exp
3×pow-unpow log-prod
2×pow-to-exp pow-exp unpow2 sqr-pow
1×pow-pow unpow1/3 pow1/3 rem-log-exp associate-*l* pow-prod-down *-commutative
Counts
4 → 72
Calls
4 calls:
11.0ms
(* (* z (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
4.0ms
(log (exp (pow (cos y) 2)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (* z (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
19.0ms
(pow (cos y) 2)
117.0ms
(cbrt (cos y))
20.0ms
(log (exp (pow (cos y) 2)))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0262464
11122378
25001343

prune251.0ms

Filtered
84 candidates to 57 candidates (67.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done022
Total84892

Merged error: 0b

Counts
92 → 8

regimes176.0ms

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
0115
1115

end0.0ms

sample1.2s

Algorithm
intervals
Results
400.0ms934×body1280valid
328.0ms5619×body80valid
211.0ms831×body640valid
70.0ms401×body320valid
26.0ms215×body160valid