Details

Time bar (total: 4.3s)

sample44.0ms

Algorithm
intervals
Results
15.0ms36×body1280valid
10.0ms183×body80valid
6.0ms24×body640valid
2.0ms8×body320valid
1.0ms5×body160valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0145
1285
2415
3575
4685
5865
61315
72145
82725
92965
103285
113965
123965

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-sqr-sqrt
7×add-log-exp
6×add-cube-cbrt
4×pow1 add-exp-log fma-neg prod-diff add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u diff-log log1p-expm1-u distribute-lft-out
1×sub-neg flip3-- pow-prod-down prod-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 44
Calls
2 calls:
6.0ms
(- (+ x (cos y)) (* z (sin y)))
5.0ms
(* z (sin y))

series87.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (+ x (cos y)) (* z (sin y)))
42.0ms
(* z (sin y))

simplify86.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0179287
1653257
23467256
35001249

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite16.0ms

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×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 66
Calls
4 calls:
5.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
129.0ms
(cbrt (* z (sin y)))
118.0ms
(cbrt (* z (sin y)))
118.0ms
(cbrt (* z (sin y)))

simplify99.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0195499
1648448
23129396
35002368

prune240.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt (sin y))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))

series526.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt z)
99.0ms
(cbrt (sin y))
121.0ms
(cbrt (* z (sin y)))
124.0ms
(cbrt (* z (sin y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0164272
1354250
21116232
35001220

prune235.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))

series437.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(cbrt (sin y))
98.0ms
(cbrt (sin y))
127.0ms
(cbrt (* z (sin y)))
115.0ms
(cbrt (* z (sin y)))

simplify117.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0134296
1287272
2927250
34009242
45001242

prune266.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes106.0ms

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
435.0ms1001×body1280valid
301.0ms5640×body80valid
206.0ms783×body640valid
72.0ms408×body320valid
20.0ms166×body160valid
2.0ms2×body2560valid