Details

Time bar (total: 33.4s)

sample55.0ms

Algorithm
intervals
Results
15.0ms47×body1280valid
9.0ms37×body640valid
9.0ms135×body80valid
5.0ms26×body320valid
2.0ms11×body160valid

simplify26.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize65.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.3b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite205.0ms

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×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 102
Calls
3 calls:
18.0ms
(cbrt (+ x 1.0))
5.0ms
(cbrt x)
163.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series775.0ms

Counts
3 → 9
Calls
3 calls:
161.0ms
(cbrt (+ x 1.0))
361.0ms
(cbrt x)
253.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify6.8s

Counts
111 → 111
Iterations
IterNodes
done5000
33442
21092
1452
0197

prune990.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 14.1b

localize130.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
12×prod-diff
10×cbrt-prod
9×add-log-exp
6×distribute-lft-out
4×expm1-log1p-u pow1 add-cbrt-cube fma-neg add-exp-log insert-posit16 log1p-expm1-u
3×pow1/3
2×cbrt-div diff-log distribute-lft-out--
1×sum-log sub-neg flip3-+ flip3-- associate--l+ flip-+ flip-- difference-of-squares
Counts
4 → 81
Calls
4 calls:
9.0ms
(cbrt (+ 1.0 x))
3.0ms
(cbrt x)
3.0ms
(cbrt x)
100.0ms
(- (+ 1.0 x) x)

series792.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(cbrt (+ 1.0 x))
364.0ms
(cbrt x)
287.0ms
(cbrt x)
3.0ms
(- (+ 1.0 x) x)

simplify5.9s

Counts
93 → 93
Iterations
IterNodes
done5004
33141
2938
1344
0148

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize160.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 62
Calls
4 calls:
16.0ms
(cbrt (+ 1.0 x))
16.0ms
(cbrt (+ 1.0 x))
5.0ms
(cbrt x)
5.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt (+ 1.0 x))
160.0ms
(cbrt (+ 1.0 x))
336.0ms
(cbrt x)
374.0ms
(cbrt x)

simplify3.9s

Counts
74 → 74
Iterations
IterNodes
done5001
31651
2559
1216
099

prune907.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize206.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
26×cbrt-div
19×add-cube-cbrt
12×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×pow1/3 unswap-sqr
7×flip3-+ flip-+ distribute-lft-out
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 115
Calls
4 calls:
8.0ms
(cbrt (+ 1.0 x))
122.0ms
(* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x))))
3.0ms
(cbrt x)
3.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt (+ 1.0 x))
215.0ms
(* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x))))
329.0ms
(cbrt x)
329.0ms
(cbrt x)

simplify5.3s

Counts
127 → 127
Iterations
IterNodes
done5002
32736
21068
1426
0200

prune1.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.2b

regimes259.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done12
112
09

end0.0ms

sample2.2s

Algorithm
intervals
Results
672.0ms1717×body1280valid
535.0ms627×body320valid
371.0ms1324×body640valid
347.0ms4026×body80valid
38.0ms306×body160valid