Details

Time bar (total: 4.1s)

sample51.0ms

Algorithm
intervals
Results
17.0ms39×body1280valid
13.0ms178×body80valid
7.0ms28×body640valid
1.0ms8×body320valid
0.0ms3×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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×sum-log
3×associate-*r* associate-*l*
2×+-commutative flip3-+ flip-+
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
4.0ms
(+ x (sin y))
6.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series118.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ x (sin y))
50.0ms
(+ (+ x (sin y)) (* z (cos y)))
40.0ms
(* z (cos y))

simplify87.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0196244
1694228
22608228
35001228

prune136.0ms

Filtered
52 candidates to 37 candidates (71.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh000
Picked011
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize14.0ms

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))

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))

series528.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
113.0ms
(cbrt (cos y))
118.0ms
(cbrt (cos y))
113.0ms
(cbrt (cos y))

simplify112.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune241.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh044
Picked101
Done011
Total84791

Merged error: 0b

Counts
91 → 7

localize18.0ms

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))

rewrite29.0ms

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:
12.0ms
(* z (pow (pow (cos y) 2) 1/3))
9.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cos y))

series277.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* z (pow (pow (cos y) 2) 1/3))
40.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
19.0ms
(pow (cos y) 2)
111.0ms
(cbrt (cos y))

simplify62.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0320572
11417499
25002468

prune268.0ms

Filtered
102 candidates to 61 candidates (59.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1011102
Fresh145
Picked101
Done011
Total1036109

Merged error: 0b

Counts
109 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
0.2b
(log (exp (cbrt (cos y))))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×log-pow
12×exp-prod
11×prod-exp add-cbrt-cube
10×associate-*r*
9×pow1 cbrt-prod log-prod
5×pow-exp cbrt-unprod
4×add-log-exp
3×distribute-rgt-in pow-to-exp unpow-prod-down pow-unpow distribute-lft-in
1×pow-pow unpow1/3 pow1/3 rem-log-exp associate-*l* pow-prod-down *-commutative unpow2 sqr-pow
Counts
4 → 82
Calls
4 calls:
12.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
3.0ms
(log (exp (cbrt (cos y))))
3.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cos y))

series295.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
109.0ms
(log (exp (cbrt (cos y))))
18.0ms
(pow (cos y) 2)
127.0ms
(cbrt (cos y))

simplify59.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0304645
11290531
25002506

prune285.0ms

Filtered
94 candidates to 61 candidates (64.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh044
Picked011
Done011
Total946100

Merged error: 0b

Counts
100 → 6

regimes140.0ms

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

sample1.3s

Algorithm
intervals
Results
424.0ms986×body1280valid
324.0ms5644×body80valid
207.0ms786×body640valid
71.0ms395×body320valid
24.0ms189×body160valid