Details

Time bar (total: 17.0s)

sample31.0ms

Algorithm
intervals
Results
9.0ms48×body1280valid
5.0ms34×body640valid
5.0ms131×body80valid
3.0ms29×body320valid
1.0ms14×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
310
210
19
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize37.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
4.5b
(- (cbrt (+ x 1)) (cbrt x))

rewrite40.0ms

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)
35.0ms
(- (cbrt (+ x 1)) (cbrt x))

series454.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(cbrt (+ x 1))
286.0ms
(cbrt x)
112.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.3s

Counts
111 → 111
Iterations
IterNodes
32105
2875
1404
0184

prune977.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize43.0ms

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)

rewrite74.0ms

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 (+ x 1))
66.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ x 1))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series749.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (+ x 1))
151.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ x 1))))
289.0ms
(cbrt x)
273.0ms
(cbrt x)

simplify2.9s

Counts
89 → 89
Iterations
IterNodes
34559
21396
1406
0159

prune923.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×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 → 59
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))

series1.3s

Counts
4 → 12
Calls
4 calls:
315.0ms
(cbrt x)
275.0ms
(cbrt x)
268.0ms
(cbrt x)
460.0ms
(cbrt (cbrt x))

simplify1.8s

Counts
71 → 71
Iterations
IterNodes
54026
41042
3412
2174
181
048

prune936.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
12×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 → 68
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series1.5s

Counts
4 → 12
Calls
4 calls:
379.0ms
(cbrt (cbrt x))
367.0ms
(cbrt (cbrt x))
414.0ms
(cbrt (cbrt x))
357.0ms
(cbrt (cbrt x))

simplify921.0ms

Counts
80 → 80
Iterations
IterNodes
52206
4587
3237
2102
156
037

prune1.1s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.1b

regimes118.0ms

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
217
117
013

end0.0ms

sample1.5s

Algorithm
intervals
Results
473.0ms1715×body1280valid
378.0ms4101×body80valid
363.0ms1260×body640valid
104.0ms625×body320valid
36.0ms299×body160valid