Details

Time bar (total: 5.6s)

sample26.0ms

Algorithm
intervals
Results
6.0ms53×body1280valid
3.0ms39×body640valid
3.0ms135×body80valid
1.0ms20×body320valid
0.0ms9×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.9b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.9b
(- (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))

series496.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(cbrt (+ x 1.0))
201.0ms
(cbrt x)
183.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify159.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0287358
1934344
24839322
35001322

prune231.0ms

Filtered
53 candidates to 45 candidates (15.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New44953
Fresh000
Picked101
Done000
Total45954

Merged error: 11.1b

Counts
54 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.9b
(- (cbrt (+ x 1.0)) (cbrt x))
2.9b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod add-sqr-sqrt
20×*-un-lft-identity
8×add-log-exp difference-of-squares
6×add-cube-cbrt distribute-lft-out--
4×pow1 add-exp-log add-cbrt-cube
2×sub-neg flip3-- pow1/3 diff-log flip-- distribute-lft-out
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series783.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt x)
206.0ms
(cbrt x)
186.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
185.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify127.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0234488
1748464
23971438
35002438

prune297.0ms

Filtered
72 candidates to 60 candidates (16.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New71172
Fresh088
Picked011
Done000
Total711081

Merged error: 11.1b

Counts
81 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.8b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×sub-neg flip3-- diff-log flip-- difference-of-squares
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
14.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series847.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(cbrt x)
208.0ms
(cbrt x)
209.0ms
(cbrt x)
220.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify135.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune274.0ms

Filtered
58 candidates to 50 candidates (13.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New56258
Fresh178
Picked101
Done011
Total581068

Merged error: 11.1b

Counts
68 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
2.9b
(- (cbrt (+ x 1.0)) (cbrt x))
2.9b
(- (cbrt (+ x 1.0)) (cbrt x))
2.9b
(- (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))

series771.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt x)
185.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
186.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
193.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify128.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0234664
1748628
23971589
35002589

prune336.0ms

Filtered
80 candidates to 66 candidates (17.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh088
Picked011
Done011
Total801090

Merged error: 11.1b

Counts
90 → 10

regimes181.0ms

Accuracy

99.1% (0.2b remaining)

Error of 11.6b against oracle of 11.5b and baseline of 29.7b

bsearch108.0ms

Steps
ItersRangePoint
9
4.56140456143215e-22
4.077492837959107e-16
2.441281035596593e-18
10
-3.7526312414890903e+64
-9.511012094511492e+52
-4.5230582636890026e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05638
16038
26038

end0.0ms

sample567.0ms

Algorithm
intervals
Results
183.0ms1728×body1280valid
106.0ms1270×body640valid
94.0ms4104×body80valid
35.0ms575×body320valid
13.0ms323×body160valid

Profiling

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