Details

Time bar (total: 4.8s)

sample22.0ms

Algorithm
intervals
Results
7.0ms55×body1280valid
4.0ms47×body640valid
3.0ms122×body80valid
1.0ms23×body320valid
0.0ms9×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: 31.7b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.1b
(- (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))

series429.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(cbrt (+ x 1.0))
185.0ms
(cbrt x)
150.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify164.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0287358
1934344
24839322
35001322

prune154.0ms

Filtered
53 candidates to 45 candidates (84.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New421153
Fresh000
Picked101
Done000
Total431154

Merged error: 13.3b

Counts
54 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(- (* (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)
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series733.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
179.0ms
(cbrt x)
180.0ms
(cbrt x)
187.0ms
(- (* (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

prune179.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New54458
Fresh2810
Picked101
Done000
Total571269

Merged error: 13.3b

Counts
69 → 12

localize8.0ms

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)
2.1b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite29.0ms

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:
10.0ms
(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:
221.0ms
(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
95.0ms
(cbrt (+ x 1.0))
187.0ms
(cbrt x)
149.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify79.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0694861
13138808
25002804

prune256.0ms

Filtered
95 candidates to 65 candidates (68.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New93295
Fresh5611
Picked101
Done000
Total998107

Merged error: 8.6b

Counts
107 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
8.2b
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

rewrite12.0ms

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--
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

series697.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
187.0ms
(cbrt x)
178.0ms
(cbrt x)
155.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

simplify85.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0236383
1681346
22529327
35001315

prune376.0ms

Filtered
57 candidates to 49 candidates (86.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New55257
Fresh257
Picked101
Done000
Total58765

Merged error: 8.5b

Counts
65 → 7

regimes43.0ms

Accuracy

98% (0.4b remaining)

Error of 8.9b against oracle of 8.5b and baseline of 29.1b

bsearch82.0ms

Steps
ItersRangePoint
10
4351496251009.609
8.397583230028358e+23
46501710339807.87
6
-1062840214.3435993
-121708321.3016068
-394828339.8289269

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06051
16451
26451

end0.0ms

sample573.0ms

Algorithm
intervals
Results
210.0ms1767×body1280valid
118.0ms1278×body640valid
96.0ms4081×body80valid
37.0ms578×body320valid
13.0ms296×body160valid

Profiling

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