Details

Time bar (total: 4.6s)

sample19.0ms

Algorithm
intervals
Results
5.0ms53×body1280valid
3.0ms42×body640valid
3.0ms135×body80valid
1.0ms20×body320valid
0.0ms6×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

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: 28.9b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.0b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-exp-log add-cbrt-cube distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series414.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(cbrt (+ x 1.0))
175.0ms
(cbrt x)
150.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify164.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune142.0ms

Filtered
53 candidates to 45 candidates (84.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New45853
Fresh000
Picked101
Done000
Total46854

Merged error: 12.3b

Counts
54 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
3.0b
(- (cbrt (+ x 1.0)) (cbrt x))
3.0b
(- (cbrt (+ x 1.0)) (cbrt x))
3.0b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
27×cbrt-prod
26×*-un-lft-identity
12×difference-of-squares
10×add-log-exp
9×distribute-lft-out--
5×add-cube-cbrt
4×pow1 add-exp-log add-cbrt-cube
3×sub-neg flip3-- diff-log flip-- distribute-lft-out
1×pow1/3
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt x)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series626.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
150.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
151.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
150.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify130.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0234664
1748628
23971589
35002589

prune246.0ms

Filtered
80 candidates to 66 candidates (82.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh077
Picked011
Done000
Total80888

Merged error: 12.3b

Counts
88 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
8.3b
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×sub-neg flip3-- diff-log flip--
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
7.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

series774.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
180.0ms
(cbrt x)
266.0ms
(cbrt (* (cbrt x) (cbrt x)))
154.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

simplify90.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0267407
1751360
22812343
35002331

prune180.0ms

Filtered
55 candidates to 47 candidates (85.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New48755
Fresh246
Picked101
Done101
Total521163

Merged error: 12.1b

Counts
63 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
2.7b
(- (+ x 1.0) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
9×add-log-exp
7×add-sqr-sqrt
5×cbrt-prod add-cube-cbrt
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
2×diff-log distribute-lft-out--
1×sub-neg flip3-- associate--l+ sum-log flip-- distribute-lft-out difference-of-squares
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
6.0ms
(- (+ x 1.0) x)

series893.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
264.0ms
(cbrt (* (cbrt x) (cbrt x)))
454.0ms
(cbrt (* (cbrt x) (cbrt x)))
1.0ms
(- (+ x 1.0) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0145234
1391208
21619192
35001184

prune188.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New56258
Fresh8210
Picked101
Done000
Total65469

Merged error: 0.6b

Counts
69 → 4

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01925
11925

end0.0ms

sample515.0ms

Algorithm
intervals
Results
178.0ms1717×body1280valid
101.0ms1271×body640valid
86.0ms4098×body80valid
37.0ms613×body320valid
12.0ms301×body160valid