Details

Time bar (total: 4.5s)

sample20.0ms

Algorithm
intervals
Results
6.0ms51×body1280valid
4.0ms44×body640valid
4.0ms144×body80valid
1.0ms12×body320valid
0.0ms5×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: 27.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
1.5b
(- (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))

series422.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(cbrt (+ x 1.0))
183.0ms
(cbrt x)
153.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify157.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune138.0ms

Filtered
53 candidates to 45 candidates (84.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New431053
Fresh000
Picked101
Done000
Total441054

Merged error: 10.1b

Counts
54 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
1.5b
(- (* (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)))

series698.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
174.0ms
(cbrt x)
178.0ms
(cbrt x)
173.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify133.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune162.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New55358
Fresh279
Picked101
Done000
Total581068

Merged error: 10.1b

Counts
68 → 10

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))
0.5b
(cbrt x)
1.5b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite25.0ms

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))

series629.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
86.0ms
(cbrt (+ x 1.0))
174.0ms
(cbrt x)
149.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify76.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0694859
13138808
25001804

prune241.0ms

Filtered
95 candidates to 65 candidates (68.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New92395
Fresh459
Picked101
Done000
Total978105

Merged error: 7.4b

Counts
105 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
1.5b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
1.5b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
1.5b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube
3×cbrt-prod sub-neg flip3-- diff-log flip-- difference-of-squares
1×pow1/3
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series718.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
175.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
181.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
175.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify135.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0243756
1829604
24198556
35001556

prune211.0ms

Filtered
62 candidates to 54 candidates (87.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New62062
Fresh077
Picked011
Done000
Total62870

Merged error: 7.4b

Counts
70 → 8

regimes47.0ms

Accuracy

98.1% (0.4b remaining)

Error of 8.9b against oracle of 8.5b and baseline of 30.3b

bsearch67.0ms

Steps
ItersRangePoint
8
6.042829624826513e-05
0.09081442282169057
0.004281773135533286
9
-3141188.981794727
-6.238959787773506
-4138.162393651891

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05343
15743
25743

end0.0ms

sample549.0ms

Algorithm
intervals
Results
193.0ms1747×body1280valid
112.0ms1290×body640valid
94.0ms4033×body80valid
40.0ms602×body320valid
13.0ms328×body160valid

Profiling

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