Details

Time bar (total: 4.7s)

sample21.0ms

Algorithm
intervals
Results
6.0ms51×body1280valid
4.0ms40×body640valid
3.0ms142×body80valid
1.0ms13×body320valid
0.0ms10×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: 27.3b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.5b
(- (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))

series408.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(cbrt (+ x 1.0))
172.0ms
(cbrt x)
148.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify161.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New46753
Fresh000
Picked101
Done000
Total47754

Merged error: 10.3b

Counts
54 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.5b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite18.0ms

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)))

series708.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
176.0ms
(cbrt x)
174.0ms
(cbrt x)
177.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify133.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune167.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New55358
Fresh156
Picked101
Done000
Total57865

Merged error: 10.2b

Counts
65 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
9.1b
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod *-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt
6×add-log-exp
4×pow1 add-exp-log cbrt-div add-cbrt-cube
3×pow1/3
2×flip3-+ flip-+ distribute-lft-out
1×sub-neg flip3-- diff-log flip--
Counts
4 → 51
Calls
4 calls:
7.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
13.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series499.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (+ x 1.0))
89.0ms
(cbrt (+ x 1.0))
179.0ms
(cbrt x)
144.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify165.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0288572
1976531
24901489
35002489

prune218.0ms

Filtered
63 candidates to 54 candidates (85.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New60363
Fresh167
Picked101
Done000
Total62971

Merged error: 10.2b

Counts
71 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
9.1b
(- (* (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))

rewrite96.0ms

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)
91.0ms
(- (* (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))

series721.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
178.0ms
(cbrt x)
176.0ms
(cbrt x)
183.0ms
(- (* (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))

simplify39.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0255660
1956543
25001506

prune379.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New57158
Fresh178
Picked101
Done000
Total59867

Merged error: 10.2b

Counts
67 → 8

regimes50.0ms

Accuracy

99.1% (0.2b remaining)

Error of 12.0b against oracle of 11.9b and baseline of 30.1b

bsearch112.0ms

Steps
ItersRangePoint
10
0.0002141056345597589
3206628.0142593775
0.03621078652853258
11
-8.810398280649897e+64
-7.398030449047884e+36
-4.419625294410731e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06542
17042
27042

end0.0ms

sample596.0ms

Algorithm
intervals
Results
217.0ms1774×body1280valid
117.0ms1246×body640valid
101.0ms4071×body80valid
44.0ms606×body320valid
14.0ms303×body160valid