Details

Time bar (total: 4.0s)

sample46.0ms

Algorithm
intervals
Results
13.0ms34×body1280valid
12.0ms167×body80valid
8.0ms32×body640valid
3.0ms15×body320valid
1.0ms8×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ x (sin y)) (* z (cos y)))
0.2b
(* z (cos y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* sum-log
1×+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 31
Calls
2 calls:
6.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series76.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ (+ x (sin y)) (* z (cos y)))
35.0ms
(* z (cos y))

simplify70.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0152192
1605176
22510176
35001176

prune90.0ms

Filtered
37 candidates to 26 candidates (70.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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×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))
1.0ms
(cbrt (cos y))

series471.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
95.0ms
(cbrt (cos y))
95.0ms
(cbrt (cos y))
101.0ms
(cbrt (cos y))

simplify101.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (95.0ms)

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)

Merged error: 0.0b

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

rewrite23.0ms

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:
7.0ms
(* 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)
2.0ms
(cbrt (cos y))

series246.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* 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)
100.0ms
(cbrt (cos y))

simplify46.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0320572
11417499
25002468

prune288.0ms

Filtered
102 candidates to 61 candidates (59.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

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:
2.0ms
(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))

series421.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(pow (cos y) 2)
130.0ms
(cbrt (pow (pow (cos y) 2) 2/3))
102.0ms
(cbrt (cos y))
166.0ms
(cbrt (pow (cos y) 2))

simplify83.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0229389
1679335
22398325
35001324

prune306.0ms

Filtered
77 candidates to 52 candidates (67.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes127.0ms

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

sample1.3s

Algorithm
intervals
Results
429.0ms1002×body1280valid
302.0ms5602×body80valid
225.0ms819×body640valid
66.0ms386×body320valid
23.0ms191×body160valid