Details

Time bar (total: 17.9s)

sample48.0ms

Algorithm
intervals
Results
16.0ms55×body1280valid
8.0ms136×body80valid
8.0ms32×body640valid
4.0ms22×body320valid
1.0ms11×body160valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
312
212
111
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize24.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1))
0.6b
(cbrt x)
3.1b
(- (cbrt (+ x 1)) (cbrt x))

rewrite58.0ms

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:
5.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
49.0ms
(- (cbrt (+ x 1)) (cbrt x))

series425.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(cbrt (+ x 1))
278.0ms
(cbrt x)
97.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify910.0ms

Counts
111 → 111
Iterations
IterNodes
32285
2886
1406
0184

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 1 x))
0.3b
(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×cbrt-prod
14×add-sqr-sqrt
10×add-cube-cbrt
6×pow1 associate-*r* associate-*l* add-exp-log
5×add-cbrt-cube distribute-lft-out
4×expm1-log1p-u insert-posit16 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 → 77
Calls
4 calls:
5.0ms
(cbrt (+ 1 x))
93.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series801.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(cbrt (+ 1 x))
150.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
280.0ms
(cbrt x)
310.0ms
(cbrt x)

simplify2.2s

Counts
89 → 89
Iterations
IterNodes
34502
21315
1408
0159

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (+ 1 x)))
0.3b
(* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
87×cbrt-prod
38×add-sqr-sqrt
36×*-un-lft-identity
28×cbrt-div
20×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 → 118
Calls
4 calls:
3.0ms
(cbrt (cbrt (+ 1 x)))
46.0ms
(* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series634.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(cbrt (cbrt (+ 1 x)))
54.0ms
(* (cbrt (cbrt (+ 1 x))) (cbrt (cbrt (+ 1 x))))
285.0ms
(cbrt x)
245.0ms
(cbrt x)

simplify2.5s

Counts
130 → 130
Iterations
IterNodes
43875
31792
2855
1357
0178

prune1.7s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
319.0ms
(cbrt x)
261.0ms
(cbrt x)
252.0ms
(cbrt x)
246.0ms
(cbrt x)

simplify2.1s

Counts
68 → 68
Iterations
IterNodes
64917
51320
4456
3200
297
147
027

prune890.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

regimes469.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
218
118
012

end0.0ms

sample1.2s

Algorithm
intervals
Results
509.0ms1730×body1280valid
241.0ms4015×body80valid
212.0ms1271×body640valid
124.0ms653×body320valid
30.0ms331×body160valid