Details

Time bar (total: 4.4s)

sample53.0ms

Algorithm
intervals
Results
19.0ms49×body1280valid
11.0ms36×body640valid
8.0ms143×body80valid
3.0ms20×body320valid
1.0ms8×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
15×*-un-lft-identity
10×associate-*l*
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r* unswap-sqr
5×add-log-exp
4×distribute-lft-out-- difference-of-squares
2×pow-prod-down prod-exp *-commutative cbrt-unprod
1×sub-neg flip3-- diff-log flip--
Counts
3 → 56
Calls
3 calls:
14.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* x (cos y))
4.0ms
(* z (sin y))

series150.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- (* x (cos y)) (* z (sin y)))
37.0ms
(* x (cos y))
42.0ms
(* z (sin y))

simplify128.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0186338
1641317
21884317
34329317
45001317

prune124.0ms

Filtered
65 candidates to 44 candidates (67.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New551065
Fresh000
Picked101
Done000
Total561066

Merged error: 0.0b

Counts
66 → 10

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))

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
8×add-cbrt-cube
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×cbrt-unprod add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Counts
4 → 76
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))

series449.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
96.0ms
(cbrt (cos y))
96.0ms
(cbrt (cos y))
98.0ms
(cbrt (cos y))

simplify99.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0131478
1525405
23612363
35001357

prune203.0ms

Filtered
88 candidates to 60 candidates (68.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New85388
Fresh369
Picked101
Done000
Total89998

Merged error: 0.0b

Counts
98 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt
33×unswap-sqr
32×associate-*l*
29×unpow-prod-down
22×add-exp-log
21×associate-*r*
17×add-cbrt-cube
16×add-cube-cbrt *-un-lft-identity
13×cbrt-prod
12×pow1 prod-exp
11×cbrt-unprod
9×sqr-pow
5×pow-exp unpow2
4×pow-prod-down add-log-exp
3×pow-to-exp pow-unpow *-commutative
2×unpow1/3
1×pow-pow pow1/3
Counts
4 → 115
Calls
4 calls:
4.0ms
(* z (sin y))
18.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series202.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* z (sin y))
37.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
22.0ms
(pow (cos y) 2)
99.0ms
(cbrt (cos y))

simplify56.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0459909
11868785
25002756

prune324.0ms

Filtered
127 candidates to 85 candidates (66.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1234127
Fresh358
Picked101
Done000
Total1279136

Merged error: 0.0b

Counts
136 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (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))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
29×associate-*l*
24×unpow-prod-down
22×associate-*r*
21×add-exp-log
20×add-cube-cbrt *-un-lft-identity
19×unswap-sqr
14×log-pow
12×pow1 exp-prod
11×prod-exp add-cbrt-cube
9×cbrt-prod log-prod
7×sqr-pow
5×pow-exp cbrt-unprod
4×unpow2 add-log-exp
3×distribute-rgt-in pow-to-exp pow-unpow distribute-lft-in pow-prod-down
2×rem-log-exp *-commutative
1×pow-pow unpow1/3 pow1/3
Counts
4 → 116
Calls
4 calls:
20.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
3.0ms
(log (exp (cbrt (cos y))))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series266.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
99.0ms
(log (exp (cbrt (cos y))))
17.0ms
(pow (cos y) 2)
105.0ms
(cbrt (cos y))

simplify52.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0424974
11690803
25001778

prune525.0ms

Filtered
128 candidates to 91 candidates (71.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh178
Picked011
Done000
Total1289137

Merged error: 0.0b

Counts
137 → 9

regimes131.0ms

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
01912
11912

end0.0ms

sample1.5s

Algorithm
intervals
Results
621.0ms1478×body1280valid
303.0ms1200×body640valid
234.0ms4384×body80valid
116.0ms629×body320valid
37.0ms309×body160valid