Details

Time bar (total: 15.8s)

sample53.0ms

Algorithm
intervals
Results
17.0ms54×body1280valid
13.0ms50×body640valid
8.0ms125×body80valid
3.0ms16×body320valid
1.0ms11×body160valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
310
210
19
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
3.0b
(- (cbrt (+ x 1)) (cbrt x))

rewrite59.0ms

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:
3.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
54.0ms
(- (cbrt (+ x 1)) (cbrt x))

series396.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(cbrt (+ x 1))
246.0ms
(cbrt x)
107.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.2s

Counts
111 → 111
Iterations
IterNodes
32105
2875
1404
0184

prune364.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

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:
3.0ms
(cbrt (+ x 1))
62.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ x 1))))
2.0ms
(cbrt x)
1.0ms
(cbrt x)

series813.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(cbrt (+ x 1))
152.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ x 1))))
302.0ms
(cbrt x)
294.0ms
(cbrt x)

simplify2.4s

Counts
89 → 89
Iterations
IterNodes
34559
21396
1406
0159

prune509.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
14×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
8×cbrt-div
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 68
Calls
4 calls:
3.0ms
(cbrt (cbrt (+ x 1)))
3.0ms
(cbrt (cbrt (+ x 1)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series754.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(cbrt (cbrt (+ x 1)))
61.0ms
(cbrt (cbrt (+ x 1)))
306.0ms
(cbrt x)
348.0ms
(cbrt x)

simplify2.7s

Counts
80 → 80
Iterations
IterNodes
54812
41814
3860
2425
1197
0103

prune533.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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)
2.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt x)
320.0ms
(cbrt x)
295.0ms
(cbrt x)
301.0ms
(cbrt x)

simplify2.6s

Counts
68 → 68
Iterations
IterNodes
64985
51337
4462
3198
295
145
027

prune313.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.1b

regimes86.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
212
112
09

end0.0ms

sample1.5s

Algorithm
intervals
Results
604.0ms1723×body1280valid
385.0ms1282×body640valid
228.0ms4043×body80valid
97.0ms622×body320valid
34.0ms330×body160valid