Details

Time bar (total: 5.0s)

sample21.0ms

Algorithm
intervals
Results
5.0ms56×body1280valid
3.0ms41×body640valid
3.0ms128×body80valid
1.0ms22×body320valid
0.0ms9×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.1b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite26.0ms

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)
22.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series430.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(cbrt (+ x 1.0))
181.0ms
(cbrt x)
158.0ms
(- (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

prune150.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.2b
(- (* (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)))

series717.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
178.0ms
(cbrt x)
181.0ms
(cbrt x)
175.0ms
(- (* (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

prune175.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.7b
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
3.1b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
23×cbrt-prod
11×log-pow
10×exp-prod
8×add-cube-cbrt difference-of-squares
6×distribute-lft-out-- add-log-exp
5×pow1 log-prod
4×add-exp-log add-cbrt-cube
3×distribute-lft-out
2×sub-neg cbrt-div pow1/3 exp-sum
1×log-div flip3-- flip3-+ exp-diff diff-log rem-log-exp flip-- flip-+
Counts
4 → 69
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
54.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
22.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series573.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (+ x 1.0))
185.0ms
(cbrt x)
145.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
154.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify36.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0336568
11025536
25001505

prune237.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 13.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.7b
(log (exp (/ (- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x))) (+ (cbrt (+ x 1.0)) (cbrt x)))))
3.2b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
31×log-pow
30×exp-prod
24×times-frac
22×cbrt-prod
18×add-sqr-sqrt add-cube-cbrt
16×distribute-lft-out
7×difference-of-squares
6×add-log-exp
5×pow1
4×add-exp-log add-cbrt-cube
3×log-prod
2×pow1/3 associate-/r/
1×sub-neg log-div flip3-- flip3-+ exp-diff diff-log div-sub rem-log-exp flip-- flip-+ div-inv
Counts
4 → 78
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
78.0ms
(log (exp (/ (- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x))) (+ (cbrt (+ x 1.0)) (cbrt x)))))
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
367.0ms
(cbrt x)
178.0ms
(cbrt x)
403.0ms
(log (exp (/ (- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x))) (+ (cbrt (+ x 1.0)) (cbrt x)))))
181.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify90.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07501315
133891203
250011200

prune283.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 13.1b

regimes58.0ms

Accuracy

99.2% (0.1b remaining)

Error of 12.2b against oracle of 12.1b and baseline of 30.4b

bsearch85.0ms

Steps
ItersRangePoint
9
0.004380743253548005
488.5072251079851
0.00751852742058337
8
-1.4333731922804479e+62
-3.8658731844659564e+59
-4.515229856998832e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06145
16545
26545

end0.0ms

sample484.0ms

Algorithm
intervals
Results
173.0ms1743×body1280valid
91.0ms1253×body640valid
77.0ms4031×body80valid
40.0ms658×body320valid
15.0ms315×body160valid