Details

Time bar (total: 4.3s)

sample29.0ms

Algorithm
intervals
Results
11.0ms60×body1280valid
5.0ms37×body640valid
5.0ms130×body80valid
2.0ms16×body320valid
1.0ms13×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.6b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite27.0ms

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:
2.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
24.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series34.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(cbrt (+ x 1.0))
10.0ms
(cbrt x)
17.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify158.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune345.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 12.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.6b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite13.0ms

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:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(cbrt x)
10.0ms
(cbrt x)
10.0ms
(cbrt x)
20.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify131.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune510.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
2.6b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
2.6b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
2.6b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite35.0ms

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:
0.0ms
(cbrt x)
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
12.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
10.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series65.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(cbrt x)
18.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
18.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
18.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify135.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0243756
1829604
24198556
35001556

prune854.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 12.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
8.4b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
8×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 → 48
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
16.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(cbrt x)
10.0ms
(cbrt x)
12.0ms
(cbrt (cbrt x))
19.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)))

simplify170.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0280497
1955438
24768433
35001433

prune608.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.7b

regimes141.0ms

Accuracy

99.3% (0.1b remaining)

Error of 12.3b against oracle of 12.1b and baseline of 30.7b

bsearch49.0ms

Steps
ItersRangePoint
9
0.006665254470786589
7065.8830381017015
0.016487902542018727
9
-1.0833306965975028e+69
-2.038197479000767e+61
-4.534627898974052e+61

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06552
16952
26952

end0.0ms

sample806.0ms

Algorithm
intervals
Results
299.0ms1725×body1280valid
179.0ms1319×body640valid
139.0ms3981×body80valid
66.0ms643×body320valid
22.0ms332×body160valid