Details

Time bar (total: 19.1s)

sample26.0ms

Algorithm
intervals
Results
9.0ms59×body1280valid
5.0ms39×body640valid
5.0ms135×body80valid
1.0ms15×body320valid
0.0ms8×body160valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
310
210
19
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
2.1b
(- (cbrt (+ x 1)) (cbrt x))

rewrite69.0ms

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)
64.0ms
(- (cbrt (+ x 1)) (cbrt x))

series412.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(cbrt (+ x 1))
266.0ms
(cbrt x)
104.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.3s

Counts
111 → 111
Iterations
IterNodes
32105
2875
1404
0184

prune901.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize44.0ms

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)

rewrite15.0ms

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:
5.0ms
(cbrt (+ x 1))
6.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series660.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (+ x 1))
51.0ms
(cbrt (+ x 1))
277.0ms
(cbrt x)
297.0ms
(cbrt x)

simplify2.9s

Counts
74 → 74
Iterations
IterNodes
55564
41879
3805
2384
1173
086

prune732.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize49.0ms

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)

rewrite15.0ms

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:
5.0ms
(cbrt (+ x 1))
5.0ms
(cbrt (+ x 1))
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series540.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(cbrt (+ x 1))
35.0ms
(cbrt (+ x 1))
194.0ms
(cbrt x)
264.0ms
(cbrt x)

simplify2.9s

Counts
74 → 74
Iterations
IterNodes
55564
41879
3805
2384
1173
086

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize84.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

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:
3.0ms
(cbrt (+ x 1))
35.0ms
(* (cbrt (cbrt (+ x 1))) (cbrt (cbrt (+ x 1))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series702.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt (+ x 1))
55.0ms
(* (cbrt (cbrt (+ x 1))) (cbrt (cbrt (+ x 1))))
280.0ms
(cbrt x)
324.0ms
(cbrt x)

simplify2.9s

Counts
127 → 127
Iterations
IterNodes
43780
31661
2798
1348
0174

prune2.0s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.2b

regimes182.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
212
112
09

end0.0ms

sample1.6s

Algorithm
intervals
Results
883.0ms1738×body1280valid
302.0ms1284×body640valid
206.0ms4118×body80valid
78.0ms567×body320valid
26.0ms293×body160valid