Details

Time bar (total: 4.8s)

sample22.0ms

Algorithm
intervals
Results
6.0ms56×body1280valid
4.0ms42×body640valid
3.0ms113×body80valid
1.0ms22×body320valid
1.0ms23×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: 33.9b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
6.5b
(- (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))

series430.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(cbrt (+ x 1.0))
178.0ms
(cbrt x)
156.0ms
(- (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

prune165.0ms

Filtered
53 candidates to 45 candidates (84.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New411253
Fresh000
Picked101
Done000
Total421254

Merged error: 13.3b

Counts
54 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.3b
(cbrt (cbrt (+ x 1.0)))
0.6b
(cbrt x)
12.8b
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div
15×cbrt-prod
9×*-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt flip3-+ flip-+
6×add-log-exp
4×pow1 add-exp-log frac-times add-cbrt-cube
3×pow1/3
2×associate-*r/ associate-*l/
1×sub-neg flip3-- diff-log flip-- distribute-lft-out
Counts
4 → 57
Calls
4 calls:
9.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
3.0ms
(cbrt (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))

series538.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
99.0ms
(cbrt (cbrt (+ x 1.0)))
181.0ms
(cbrt x)
153.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify51.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0477746
11545691
25002672

prune269.0ms

Filtered
69 candidates to 58 candidates (84.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New64569
Fresh2911
Picked101
Done000
Total671481

Merged error: 13.3b

Counts
81 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
6.4b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite20.0ms

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)
15.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series918.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
174.0ms
(cbrt x)
375.0ms
(cbrt x)
185.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify139.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune192.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New56258
Fresh21113
Picked101
Done000
Total591372

Merged error: 13.3b

Counts
72 → 13

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
12.8b
(- (* (* (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)))

rewrite103.0ms

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)
99.0ms
(- (* (* (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)))

series720.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
178.0ms
(cbrt x)
183.0ms
(cbrt x)
181.0ms
(- (* (* (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)))

simplify38.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0255660
1956543
25001506

prune204.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New54458
Fresh3912
Picked101
Done000
Total581371

Merged error: 13.3b

Counts
71 → 13

regimes82.0ms

Accuracy

99.2% (0.1b remaining)

Error of 11.9b against oracle of 11.7b and baseline of 30.1b

bsearch85.0ms

Steps
ItersRangePoint
7
8.06938791009127e-11
1.3648298396175304e-08
9.516483180392414e-10
10
-9.540315001687748e+64
-2.1978783347321447e+55
-4.4405013780138126e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05934
16434
26434

end0.0ms

sample572.0ms

Algorithm
intervals
Results
200.0ms1711×body1280valid
112.0ms1284×body640valid
103.0ms4078×body80valid
43.0ms637×body320valid
12.0ms290×body160valid

Profiling

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