Details

Time bar (total: 17.8s)

sample45.0ms

Algorithm
intervals
Results
15.0ms58×body1280valid
8.0ms37×body640valid
7.0ms126×body80valid
4.0ms26×body320valid
1.0ms9×body160valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
310
210
19
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize33.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
3.1b
(- (cbrt (+ x 1)) (cbrt x))

rewrite48.0ms

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)
44.0ms
(- (cbrt (+ x 1)) (cbrt x))

series416.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(cbrt (+ x 1))
255.0ms
(cbrt x)
105.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.3s

Counts
111 → 111
Iterations
IterNodes
32105
2875
1404
0184

prune992.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

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)

rewrite72.0ms

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))
67.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ x 1))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series818.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(cbrt (+ x 1))
158.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ x 1))))
323.0ms
(cbrt x)
291.0ms
(cbrt x)

simplify2.4s

Counts
89 → 89
Iterations
IterNodes
34559
21396
1406
0159

prune976.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×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 → 65
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series1.4s

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt x)
380.0ms
(cbrt (cbrt x))
393.0ms
(cbrt (cbrt x))
381.0ms
(cbrt (cbrt x))

simplify2.0s

Counts
77 → 77
Iterations
IterNodes
54026
41042
3412
2174
181
048

prune973.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.7b
(cbrt (* (cbrt x) (cbrt x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
10×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 → 63
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.6s

Counts
4 → 12
Calls
4 calls:
354.0ms
(cbrt (cbrt x))
382.0ms
(cbrt (cbrt x))
391.0ms
(cbrt (cbrt x))
449.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify1.8s

Counts
75 → 75
Iterations
IterNodes
54297
41136
3457
2190
194
056

prune1.2s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.1b

regimes103.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
221
121
016

end0.0ms

sample1.5s

Algorithm
intervals
Results
522.0ms1694×body1280valid
322.0ms1280×body640valid
319.0ms4118×body80valid
125.0ms597×body320valid
73.0ms311×body160valid