Details

Time bar (total: 5.1s)

sample24.0ms

Algorithm
intervals
Results
6.0ms51×body1280valid
5.0ms134×body80valid
4.0ms38×body640valid
2.0ms23×body320valid
1.0ms10×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: 29.1b

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))

rewrite25.0ms

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))
0.0ms
(cbrt x)
21.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series416.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(cbrt (+ x 1.0))
179.0ms
(cbrt x)
150.0ms
(- (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

prune145.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 11.1b

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)))

rewrite16.0ms

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)
14.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series722.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
181.0ms
(cbrt x)
177.0ms
(cbrt x)
179.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify132.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune178.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 11.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
7.7b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

rewrite17.0ms

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--
Counts
4 → 45
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
15.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

series716.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
175.0ms
(cbrt x)
176.0ms
(cbrt x)
184.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

simplify165.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (160.0ms)

IterNodesCost
0248462
1885403
24541400
35001384

prune221.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
7.7b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))) (cbrt (cbrt x)))))

rewrite34.0ms

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--
Counts
4 → 45
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
32.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))) (cbrt (cbrt x)))))

series884.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
172.0ms
(cbrt x)
176.0ms
(cbrt x)
362.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))) (cbrt (cbrt x)))))

simplify152.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0255576
1907505
24587504
35001504

prune226.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 11.0b

regimes85.0ms

Accuracy

99.3% (0.1b remaining)

Error of 11.6b against oracle of 11.5b and baseline of 29.6b

bsearch84.0ms

Steps
ItersRangePoint
9
0.0012055448239290207
14520.350903362307
0.07711975842685659
7
-3.0136667244557635e+62
-5.537233967456336e+60
-4.502135720218312e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06738
17438
27438

end0.0ms

sample670.0ms

Algorithm
intervals
Results
221.0ms1705×body1280valid
162.0ms4133×body80valid
124.0ms1226×body640valid
48.0ms629×body320valid
18.0ms307×body160valid