Details

Time bar (total: 10.9s)

sample48.0ms

Algorithm
intervals
Results
17.0ms56×body1280valid
9.0ms142×body80valid
7.0ms31×body640valid
4.0ms22×body320valid
1.0ms5×body160valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
2.8b
(- (cbrt (+ x 1)) (cbrt x))

rewrite70.0ms

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)
65.0ms
(- (cbrt (+ x 1)) (cbrt x))

series449.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(cbrt (+ x 1))
296.0ms
(cbrt x)
103.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.2s

Counts
111 → 111
Iterations
IterNodes
done2002
32002
2955
1414
0184

prune439.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 15.9b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
0.6b
(cbrt x)
2.4b
(- (+ x 1) x)

rewrite70.0ms

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:
5.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
61.0ms
(- (+ x 1) x)

series557.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(cbrt (+ x 1))
280.0ms
(cbrt x)
235.0ms
(cbrt x)
2.0ms
(- (+ x 1) x)

simplify948.0ms

Counts
93 → 93
Iterations
IterNodes
done2001
32001
2806
1305
0134

prune472.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

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

series671.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(cbrt (+ x 1))
58.0ms
(cbrt (+ x 1))
265.0ms
(cbrt x)
288.0ms
(cbrt x)

simplify1.2s

Counts
74 → 74
Iterations
IterNodes
done2002
42002
31020
2405
1180
086

prune406.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-div
11×cbrt-prod
9×*-un-lft-identity
7×add-sqr-sqrt flip3-+ add-cube-cbrt flip-+
4×expm1-log1p-u frac-times pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×associate-*l/ associate-*r/
1×distribute-lft-out
Counts
4 → 65
Calls
4 calls:
3.0ms
(cbrt (+ x 1))
12.0ms
(cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))
1.0ms
(cbrt x)
9.0ms
(cbrt x)

series683.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(cbrt (+ x 1))
70.0ms
(cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))
314.0ms
(cbrt x)
239.0ms
(cbrt x)

simplify1.2s

Counts
77 → 77
Iterations
IterNodes
done2000
42000
31598
2630
1282
0145

prune591.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.2b

regimes89.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample1.7s

Algorithm
intervals
Results
883.0ms1688×body1280valid
238.0ms4111×body80valid
232.0ms1284×body640valid
173.0ms618×body320valid
27.0ms299×body160valid