Details

Time bar (total: 4.6s)

sample38.0ms

Algorithm
intervals
Results
9.0ms190×body80valid
9.0ms23×body1280valid
6.0ms25×body640valid
2.0ms14×body320valid
0.0ms4×body160valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1285
2375
3435
4525
5665
61015
71665
82125
92365
102505
112705
122705

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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
3×associate-*r* associate-*l*
2×diff-log sum-log
1×+-commutative sub-neg flip3-- flip3-+ pow-prod-down prod-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 44
Calls
3 calls:
42.0ms
(- (+ x (cos y)) (* z (sin y)))
6.0ms
(+ x (cos y))
9.0ms
(* z (sin y))

series117.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (+ x (cos y)) (* z (sin y)))
31.0ms
(+ x (cos y))
38.0ms
(* z (sin y))

simplify72.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0198256
1668240
22771240
35001240

prune124.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.0b
(cbrt (* z (sin y)))
8.0b
(cbrt (* z (sin y)))
8.0b
(cbrt (* z (sin y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
18.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))

series530.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
122.0ms
(cbrt (* z (sin y)))
126.0ms
(cbrt (* z (sin y)))
127.0ms
(cbrt (* z (sin y)))

simplify83.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0190460
1631409
23021358
35002336

prune223.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.7b
(cbrt (sin y))
8.0b
(cbrt (* z (sin y)))
8.0b
(cbrt (* z (sin y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt (sin y))
4.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))

series534.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt z)
98.0ms
(cbrt (sin y))
130.0ms
(cbrt (* z (sin y)))
125.0ms
(cbrt (* z (sin y)))

simplify145.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0157246
1340224
21079206
34922196
45003196

prune198.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))
8.0b
(cbrt (* z (sin y)))
8.0b
(cbrt (* z (sin y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
4.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))

series453.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(cbrt (sin y))
97.0ms
(cbrt (sin y))
131.0ms
(cbrt (* z (sin y)))
129.0ms
(cbrt (* z (sin y)))

simplify112.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 4 (108.0ms)

IterNodesCost
0129268
1275244
2892222
33850216
45002210

prune405.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes120.0ms

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
0105
1105

end0.0ms

sample1.2s

Algorithm
intervals
Results
391.0ms980×body1280valid
278.0ms5599×body80valid
203.0ms813×body640valid
72.0ms408×body320valid
32.0ms200×body160valid