Details

Time bar (total: 7.7s)

sample18.0ms

Algorithm
intervals
Results
5.0ms49×body1280valid
4.0ms52×body640valid
3.0ms133×body80valid
1.0ms13×body320valid
0.0ms9×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
197
2107
done107

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.4b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 99
Calls
3 calls:
2.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
26.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series401.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(cbrt (+ x 1.0))
169.0ms
(cbrt x)
147.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify601.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (145.0ms)

IterNodesCost
01942160
14431811
213481468
done50011468

prune232.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 14.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)
1.9b
(- (+ x 1.0) x)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
23×add-sqr-sqrt
17×add-cube-cbrt
14×cbrt-prod
12×prod-diff
9×distribute-lft-out add-log-exp
6×pow1 add-exp-log associate-*r* associate-*l*
5×add-cbrt-cube
4×expm1-log1p-u fma-neg log1p-expm1-u
2×pow1/3 diff-log associate-*r/ distribute-lft-out-- unswap-sqr
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ pow-prod-down prod-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod flip-+ difference-of-squares
Counts
4 → 92
Calls
4 calls:
52.0ms
(* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x)))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
22.0ms
(- (+ x 1.0) x)

series520.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x)))
182.0ms
(cbrt x)
174.0ms
(cbrt x)
1.0ms
(- (+ x 1.0) x)

simplify825.0ms

Counts
104 → 104
Iterations

Useful iterations: done (822.0ms)

IterNodesCost
01761170
1453934
21911817
done5000816

prune262.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×cbrt-prod
14×add-sqr-sqrt
10×add-cube-cbrt
6×pow1 add-exp-log associate-*r* associate-*l*
5×add-cbrt-cube distribute-lft-out
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×cbrt-div flip3-+ associate-*r/ flip-+ unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
52.0ms
(* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x)))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series610.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (+ x 1.0))
159.0ms
(* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x)))
181.0ms
(cbrt x)
176.0ms
(cbrt x)

simplify637.0ms

Counts
85 → 85
Iterations

Useful iterations: done (635.0ms)

IterNodesCost
0175915
1462836
21774772
done5001771

prune263.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (* (cbrt x) (cbrt x)))

series861.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
175.0ms
(cbrt x)
245.0ms
(cbrt (cbrt x))
267.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify1.4s

Counts
65 → 65
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
064368
1116355
2245302
3700290
42592290
done5001290

prune223.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

regimes124.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
11729
done1729

end0.0ms

sample479.0ms

Algorithm
intervals
Results
171.0ms1735×body1280valid
91.0ms1222×body640valid
79.0ms4115×body80valid
33.0ms615×body320valid
11.0ms313×body160valid