Details

Time bar (total: 5.2s)

sample21.0ms

Algorithm
intervals
Results
6.0ms54×body1280valid
4.0ms43×body640valid
3.0ms131×body80valid
1.0ms20×body320valid
0.0ms8×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: 29.5b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.4b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite12.0ms

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))

series417.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(cbrt (+ x 1.0))
176.0ms
(cbrt x)
152.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify162.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0287358
1934344
24839322
35001322

prune141.0ms

Filtered
53 candidates to 45 candidates (84.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New44953
Fresh000
Picked101
Done000
Total45954

Merged error: 11.0b

Counts
54 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.3b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite15.0ms

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)
10.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series725.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
183.0ms
(cbrt x)
181.0ms
(cbrt x)
182.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify135.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune157.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New55358
Fresh268
Picked101
Done000
Total58967

Merged error: 11.0b

Counts
67 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.4b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
32×*-un-lft-identity
31×cbrt-prod
12×difference-of-squares
10×unpow-prod-down cube-prod
9×add-cube-cbrt distribute-lft-out--
6×add-log-exp
5×pow1 add-exp-log add-cbrt-cube
4×distribute-lft-out
3×pow-unpow
2×cube-div cbrt-div flip3-- pow1/3 flip--
1×cube-mult pow-to-exp sub-neg pow-pow flip3-+ diff-log unpow3 pow-exp flip-+ rem-cube-cbrt sqr-pow
Counts
4 → 83
Calls
4 calls:
9.0ms
(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series653.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
92.0ms
(cbrt (+ x 1.0))
181.0ms
(cbrt x)
153.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify78.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0694859
13138808
25001804

prune240.0ms

Filtered
95 candidates to 65 candidates (68.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New92395
Fresh448
Picked101
Done000
Total977104

Merged error: 8.1b

Counts
104 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (pow (- (cbrt (+ x 1.0)) (cbrt x)) 3) 3)
0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.4b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
50×*-un-lft-identity
47×cbrt-prod
46×unpow-prod-down cube-prod
20×difference-of-squares
15×distribute-lft-out--
13×add-cube-cbrt
6×add-exp-log distribute-lft-out add-log-exp
5×add-cbrt-cube
4×pow1 cube-div pow-exp
3×cube-mult pow-unpow unpow3 sqr-pow
2×pow-to-exp cbrt-div flip3-- pow1/3 flip--
1×sub-neg pow-pow flip3-+ diff-log flip-+ rem-cube-cbrt
Counts
4 → 117
Calls
4 calls:
17.0ms
(pow (pow (- (cbrt (+ x 1.0)) (cbrt x)) 3) 3)
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series1.2s

Counts
4 → 12
Calls
4 calls:
539.0ms
(pow (pow (- (cbrt (+ x 1.0)) (cbrt x)) 3) 3)
87.0ms
(cbrt (+ x 1.0))
375.0ms
(cbrt x)
156.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify53.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015551722
150011681

prune415.0ms

Filtered
129 candidates to 69 candidates (53.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1290129
Fresh066
Picked011
Done000
Total1297136

Merged error: 8.1b

Counts
136 → 7

regimes77.0ms

Accuracy

98.1% (0.4b remaining)

Error of 8.9b against oracle of 8.5b and baseline of 30.2b

bsearch66.0ms

Steps
ItersRangePoint
7
3.5219099983751123e-14
2.9320403911324666e-12
4.724688471450112e-14
9
-650632332.7510262
-11.514549394350572
-4185.246342407717

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04935
15335
25335

end0.0ms

sample557.0ms

Algorithm
intervals
Results
201.0ms1732×body1280valid
109.0ms1259×body640valid
98.0ms4034×body80valid
40.0ms639×body320valid
14.0ms336×body160valid

Profiling

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