Details

Time bar (total: 4.7s)

sample32.0ms

Algorithm
intervals
Results
12.0ms68×body1280valid
5.0ms34×body640valid
5.0ms121×body80valid
2.0ms23×body320valid
1.0ms10×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.7b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
add-cube-cbrt add-log-exp
difference-of-squares
pow1 add-exp-log add-cbrt-cube distribute-lft-out--
cbrt-div pow1/3 distribute-lft-out
sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
2.0ms
(cbrt (+ x 1.0))
0.0ms
(cbrt x)
21.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series425.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(cbrt (+ x 1.0))
181.0ms
(cbrt x)
155.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify160.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune149.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
11.5b
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
pow1 add-exp-log add-cbrt-cube
pow1/3
sub-neg flip3-- diff-log flip--
Counts
4 → 45
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
21.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

series691.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
182.0ms
(cbrt x)
177.0ms
(cbrt x)
152.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

simplify87.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0236383
1681346
22529327
35001315

prune205.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.1b
(- (+ x 1.0) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
cbrt-prod add-sqr-sqrt add-log-exp
add-cube-cbrt
pow1 add-exp-log add-cbrt-cube
pow1/3
diff-log distribute-lft-out--
sub-neg flip3-- associate--l+ sum-log flip-- distribute-lft-out difference-of-squares
Counts
4 → 50
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
17.0ms
(- (+ x 1.0) x)

series544.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
185.0ms
(cbrt x)
179.0ms
(cbrt x)
1.0ms
(- (+ x 1.0) x)

simplify36.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0108186
1286172
21047163
35001152

prune229.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series724.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
179.0ms
(cbrt x)
184.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify135.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
040156
181144
2193136
3696136
44103136
55002136

prune206.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.4b

regimes61.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02732
12732

end0.0ms

sample854.0ms

Algorithm
intervals
Results
326.0ms1730×body1280valid
178.0ms1232×body640valid
156.0ms4088×body80valid
69.0ms642×body320valid
21.0ms308×body160valid